dataset
stringclasses 11
values | id
stringlengths 8
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listlengths 2
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float64 0.87
0.96
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|---|---|---|---|
open_orca | open_orca_niv.354919 | [
{
"role": "system",
"content": "You are an AI assistant, who knows every language and how to translate one language to another. Given a task, you explain in simple steps what the task is asking, any guidelines that it provides. You solve the task and show how you used the guidelines to solve the task."
},
{
"role": "user",
"content": "In this task you are given a list of numbers and you need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) /2. The output should be a list of the averages of each two consecutive values. A list is presented with two brackets and comma-separated values, like: [1,2,3].\n\n[34, 17, -23, -89, -7, 35, 74, 4, -68]"
},
{
"role": "assistant",
"content": "In this task, we are given a list of numbers and we need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) / 2. The output should be a list of the averages of each two consecutive values.\n\nList of numbers: [34, 17, -23, -89, -7, 35, 74, 4, -68]\n\nStep by step solution:\n\n1. Take the first two consecutive numbers: 34 and 17.\n Calculate the average: (34 + 17) / 2 = 51 / 2 = 25.5.\n\n2. Take the next two consecutive numbers: 17 and -23.\n Calculate the average: (17 + (-23)) / 2 = (-6) / 2 = -3.\n\n3. Take the next two consecutive numbers: -23 and -89.\n Calculate the average: (-23 + (-89)) / 2 = (-112) / 2 = -56.\n\n4. Take the next two consecutive numbers: -89 and -7.\n Calculate the average: (-89 + (-7)) / 2 = (-96) / 2 = -48.\n\n5. Take the next two consecutive numbers: -7 and 35.\n Calculate the average: (-7 + 35) / 2 = 28 / 2 = 14.\n\n6. Take the next two consecutive numbers: 35 and 74.\n Calculate the average: (35 + 74) / 2 = 109 / 2 = 54.5.\n\n7. Take the next two consecutive numbers: 74 and 4.\n Calculate the average: (74 + 4) / 2 = 78 / 2 = 39.\n\n8. Take the last two consecutive numbers: 4 and -68.\n Calculate the average: (4 + (-68)) / 2 = (-64) / 2 = -32.\n\nNow, let's list all the averages: [25.5, -3, -56, -48, 14, 54.5, 39, -32].\n\nOutput: [25.5, -3, -56, -48, 14, 54.5, 39, -32]"
}
]
| 0.938968 |
open_orca | open_orca_flan.999486 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution?\n\nSolve -66*a = -401 - 433 - 1278 for a."
},
{
"role": "assistant",
"content": "To solve the equation -66*a = -401 - 433 - 1278 for a, follow these steps:\n\nStep 1: Simplify the right-hand side of the equation.\n-401 - 433 - 1278 = (-401) + (-433) + (-1278) = -2112\n\nNow the equation becomes:\n-66*a = -2112\n\nStep 2: Isolate the variable \"a\" by dividing both sides of the equation by -66.\na = (-2112) / (-66)\n\nStep 3: Simplify the division.\na = 32\n\nSo the solution is a = 32."
}
]
| 0.938945 |
open_orca | open_orca_flan.1545747 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Problem: Solve 0 = 662*i - 1496*i + 681*i + 10404 for i.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the equation 0 = 662*i - 1496*i + 681*i + 10404 for i, follow these steps:\n\nStep 1: Combine like terms (the terms with the variable i).\n\n0 = (662*i - 1496*i + 681*i) + 10404\n\n0 = (-1496 + 662 + 681) * i + 10404\n\n0 = (-153) * i + 10404\n\nStep 2: Isolate the variable i by moving the constant term to the other side of the equation.\n\n-10404 = -153 * i\n\nStep 3: Divide both sides of the equation by the coefficient of the variable i (-153) to solve for i.\n\ni = -10404 / -153\n\nStep 4: Simplify the fraction.\n\ni = 68\n\nThe answer is i = 68."
}
]
| 0.938878 |
open_orca | open_orca_cot.101251 | [
{
"role": "system",
"content": "You are an AI assistant that helps people find information."
},
{
"role": "user",
"content": "There are 56 pieces of fruit in a box. One-fourth of the box contains oranges. There are half as many peaches as oranges and five times as many apples as peaches. How many apples are in the box? Let's answer step by step:"
},
{
"role": "assistant",
"content": "Sure, let's break down the problem step by step:\n\n1. One-fourth of the box contains oranges, so we can find the number of oranges by multiplying the total number of fruit by 1/4: \n\n 56 x 1/4 = 14 oranges \n\n2. There are half as many peaches as oranges, so we can find the number of peaches by dividing the number of oranges by 2: \n\n 14 / 2 = 7 peaches \n\n3. There are five times as many apples as peaches, so we can find the number of apples by multiplying the number of peaches by 5: \n\n 7 x 5 = 35 apples \n\nTherefore, there are 35 apples in the box."
}
]
| 0.938813 |
open_orca | open_orca_flan.402399 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution?\n\nSolve 0 = -536*o + 12*o - 1813 - 3427 for o."
},
{
"role": "assistant",
"content": "To solve the equation, we will first combine the like terms and then isolate the variable \"o\". Here's the step-by-step solution:\n\n1. Combine like terms:\n0 = -536o + 12o - 1813 - 3427\n\n2. Add the coefficients of \"o\":\n0 = (-536 + 12)o - 1813 - 3427\n0 = -524o - 1813 - 3427\n\n3. Combine the constant terms:\n0 = -524o - (1813 + 3427)\n0 = -524o - 5240\n\n4. Isolate \"o\" by adding 5240 to both sides of the equation:\n5240 = -524o\n\n5. Divide both sides of the equation by -524 to solve for \"o\":\no = 5240 / (-524)\no = -10\n\nThe solution to the equation is o = -10."
}
]
| 0.938813 |
open_orca | open_orca_niv.107288 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Teacher:In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nTeacher: Now, understand the problem? Solve this instance: [88, 96, -59, 27, -41, -29, -16, -76, 29]\nStudent:"
},
{
"role": "assistant",
"content": "To solve this problem, I will use the given definition to apply the logic to each element in the input list. \n\nFor the first element, 88 is even, so I will divide by 4: \n\n88/4 = 22 \n\nFor the second element, 96 is even, so I will divide by 4: \n\n96/4 = 24 \n\nFor the third element, -59 is odd, so I will multiply by 4 and add 2: \n\n(-59 * 4) + 2 = -234 + 2 = -232 \n\nFor the fourth element, 27 is odd, so I will multiply by 4 and add 2: \n\n(27 * 4) + 2 = 108 + 2 = 110 \n\nFor the fifth element, -41 is odd, so I will multiply by 4 and add 2: \n\n(-41 * 4) + 2 = -164 + 2 = -162 \n\nFor the sixth element, -29 is odd, so I will multiply by 4 and add 2: \n\n(-29 * 4) + 2 = -116 + 2 = -114 \n\nFor the seventh element, -16 is even, so I will divide by 4: \n\n-16/4 = -4 \n\nFor the eighth element, -76 is even, so I will divide by 4: \n\n-76/4 = -19 \n\nFor the ninth element, 29 is odd, so I will multiply by 4 and add 2: \n\n(29 * 4) + 2 = 116 + 2 = 118 \n\nTherefore, the output list is [22, 24, -232, 110, -162, -114, -4, -19, 118]."
}
]
| 0.938717 |
open_orca | open_orca_niv.129506 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\nQ: 3444 @ 7050 @ 9337 @ 2222 # 275 # 2360 # 8411\nA:"
},
{
"role": "assistant",
"content": "To solve this equation, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). However, since there are no parentheses or exponents in this equation, we can start with the multiplication and division.\n\nBut, there are no multiplication or division operators in this equation. So, we can move on to the addition and subtraction. However, we need to remember that the '+' operator has been replaced with '@' and the '-' operator has been replaced with '#'.\n\nSo, let's rewrite the equation with the original operators:\n\n3444 + 7050 + 9337 + 2222 - 275 - 2360 - 8411\n\nNow, we can perform the addition and subtraction from left to right:\n\n= 3444 + 7050 = 10494\n= 10494 + 9337 = 19831\n= 19831 + 2222 = 22053\n= 22053 - 275 = 21778\n= 21778 - 2360 = 19418\n= 19418 - 8411 = 11007\n\nTherefore, the answer to the given equation is 11007."
}
]
| 0.938681 |
open_orca | open_orca_niv.307750 | [
{
"role": "system",
"content": ""
},
{
"role": "user",
"content": "Teacher:In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nTeacher: Now, understand the problem? Solve this instance: [-56, -73, -34, 94, -16, -12, -42, -85, 96]\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. Here's the solution for the given instance:\n\nFor -56 (even), we divide by 4: -56/4 = -14\nFor -73 (odd), we multiply by 4 and add 2: (-73*4) + 2 = -290 + 2 = -288\nFor -34 (even), we divide by 4: -34/4 = -8.5\nFor 94 (even), we divide by 4: 94/4 = 23.5\nFor -16 (even), we divide by 4: -16/4 = -4\nFor -12 (even), we divide by 4: -12/4 = -3\nFor -42 (even), we divide by 4: -42/4 = -10.5\nFor -85 (odd), we multiply by 4 and add 2: (-85*4) + 2 = -340 + 2 = -338\nFor 96 (even), we divide by 4: 96/4 = 24\n\nSo the output list would be: [-14, -288, -8.5, 23.5, -4, -3, -10.5, -338, 24]"
}
]
| 0.938638 |
open_orca | open_orca_flan.2379590 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve 0 = 114*o - 170*o + 840 for o."
},
{
"role": "assistant",
"content": "To solve the equation 0 = 114*o - 170*o + 840 for o, we will follow these steps:\n\nStep 1: Combine like terms.\n0 = (114 - 170) * o + 840\n0 = -56 * o + 840\n\nStep 2: Isolate the variable o on one side of the equation.\nTo do this, we will first subtract 840 from both sides of the equation.\n0 - 840 = -56 * o + 840 - 840\n-840 = -56 * o\n\nStep 3: Solve for o by dividing both sides by -56.\n-840 / -56 = (-56 * o) / -56\no = 15\n\nSo, the solution to the equation is o = 15."
}
]
| 0.938622 |
open_orca | open_orca_flan.298018 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve 303*b - 468*b - 24*b = 613*b - 13634 for b."
},
{
"role": "assistant",
"content": "To solve this equation for b, we should first combine the similar terms on each side of the equation.\n\nGiven equation: \n\n303*b - 468*b - 24*b = 613*b - 13634\n\nCombine the terms of b on the left side of the equation:\n\n(303 - 468 - 24)*b = 613*b - 13634\n(-189)*b = 613*b - 13634\n\nNow, to isolate the b terms on one side, we can subtract 613*b from both sides of the equation:\n\n-189*b - 613*b = - 13634\n\nCombine the terms of b on the left side:\n\n(-189 - 613)*b = - 13634\n(-802)*b = - 13634\n\nTo solve for b, divide both sides by -802:\n\nb = (- 13634) / (- 802)\nb ≈ 17\n\nThus, the value of b is approximately 17."
}
]
| 0.938601 |
open_orca | open_orca_flan.1026864 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve -84*x - 2938 + 3922 = -3552 for x.. What is the answer??"
},
{
"role": "assistant",
"content": "Sure, let's solve the given equation step by step.\n\nEquation: -84 * x - 2938 + 3922 = -3552\n\nStep 1: Combine the constants on the left side.\n-2938 + 3922 = 984\n\nNew equation: -84 * x + 984 = -3552\n\nStep 2: Subtract 984 from both sides of the equation to isolate the term with x.\n-84 * x + 984 - 984 = -3552 - 984\n\nThis simplifies to:\n-84 * x = -4536\n\nStep 3: Divide both sides by -84 to solve for x.\nx = -4536 / -84\n\nSimplifying the expression, we get:\nx = 54\n\nSo the value of x that satisfies the equation is x = 54."
}
]
| 0.938596 |
open_orca | open_orca_flan.1745757 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve 0 = -43*o + 83*o - 20*o - 46*o - 1274 for o.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve the linear equation for o, we will first combine like terms and then isolate o on one side of the equation.\n\nStep 1: Combine like terms:\n0 = -43*o + 83*o - 20*o - 46*o - 1274\n\nAdd the o terms together:\n0 = (-43 + 83 - 20 - 46)*o - 1274\n0 = (-26)*o - 1274\n\nStep 2: Isolate o by adding 1274 to both sides:\n1274 = (-26)*o\n\nStep 3: Divide both sides by -26 to get the value of o:\no = 1274 / -26\no = -49\n\nSo the solution to the equation is o = -49."
}
]
| 0.938548 |
open_orca | open_orca_niv.138708 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nQ: [-99, -8, 53, -52, 83, -29, 92]\nA:"
},
{
"role": "assistant",
"content": "Task: You have a list of integers and you need to apply a specific operation on each element based on whether the number is even or odd. The result should be a new list of numbers after applying the operations. \n\nGuidelines:\n1. If the number is even, divide it by 4.\n2. If the number is odd, multiply it by 4 and then add 2.\n3. Zero is considered an even integer.\n4. Do not round any decimals in the final output.\n\nSteps to find the answer:\n\n1. Start with the given list of integers: [-99, -8, 53, -52, 83, -29, 92]\n\n2. Apply the guidelines on each element:\n\n a. -99 is odd, so multiply it by 4 and then add 2: (-99 * 4) + 2 = -394\n b. -8 is even, so divide it by 4: -8 / 4 = -2\n c. 53 is odd, so multiply it by 4 and then add 2: (53 * 4) + 2 = 214\n d. -52 is even, so divide it by 4: -52 / 4 = -13\n e. 83 is odd, so multiply it by 4 and then add 2: (83 * 4) + 2 = 334\n f. -29 is odd, so multiply it by 4 and then add 2: (-29 * 4) + 2 = -114\n g. 92 is even, so divide it by 4: 92 / 4 = 23\n\n3. Compile the new list of numbers, which represents the output:\n[-394, -2, 214, -13, 334, -114, 23]\n\nAnd, that's your answer: \nA: [-394, -2, 214, -13, 334, -114, 23]"
}
]
| 0.93854 |
wizardlm | wizardlm_0GaqAX6 | [
{
"role": "user",
"content": "How will the resulting value of the expression (4x + 9) / (2y - 5) * (AWESOM-O^2 - 3) be affected if x is increased by 3 and y is decreased by 2? The answer should be obtained through a multi-step process."
},
{
"role": "assistant",
"content": "To determine how the resulting value of the expression will be affected, we need to first substitute the new values for x and y into the original expression and simplify it:\n\n(4x + 9) / (2y - 5) * (AWESOM-O^2 - 3)\n\nSubstituting x + 3 for x and y - 2 for y:\n\n(4(x + 3) + 9) / (2(y - 2) - 5) * (AWESOM-O^2 - 3)\n\nSimplifying inside the parentheses:\n\n(4x + 12 + 9) / (2y - 4 - 5) * (AWESOM-O^2 - 3)\n\n(4x + 21) / (2y - 9) * (AWESOM-O^2 - 3)\n\nNow we can evaluate how the resulting value will be affected by comparing the original expression to the simplified expression with the substituted values:\n\n(4x + 9) / (2y - 5) * (AWESOM-O^2 - 3) = Original Expression\n(4x + 21) / (2y - 9) * (AWESOM-O^2 - 3) = Simplified Expression with New Values\n\nTo determine how the resulting value is affected, we can compare the two expressions:\n\n[(4x + 21) / (2y - 9) * (AWESOM-O^2 - 3)] / [(4x + 9) / (2y - 5) * (AWESOM-O^2 - 3)]\n\nCanceling out the common factors:\n\n[(4x + 21) / (2y - 9)] / [(4x + 9) / (2y - 5)]\n\nInverting the second fraction and multiplying:\n\n[(4x + 21) / (2y - 9)] * [(2y - 5) / (4x + 9)]\n\nCanceling out common factors:\n\n(4x + 21) / (4x + 9) * (2y - 5) / (2y - 9)\n\nSimplifying:\n\n(4(x + 5)) / (4(x + 2)) * (2(y - 1)) / (2(y - 5))\n\nCanceling out common factors:\n\n(x + 5) / (x + 2) * (y - 1) / (y - 5)\n\nThis simplified expression shows how the resulting value of the original expression is affected when x is increased by 3 and y is decreased by 2."
}
]
| 0.938491 |
open_orca | open_orca_niv.128147 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nProblem:9742 + 8792 - 8215 + 1924 + 4604 + 8362 - 4329\nSolution:"
},
{
"role": "assistant",
"content": "Sure, I can help you with that. \n\nFirst, we need to swap the symbols of '+' and '-' as per the given instructions. So, the problem becomes:\n\n9742 - 8792 + 8215 - 1924 - 4604 - 8362 + 4329\n\nNow, we can solve this problem step-by-step using the rules of addition and subtraction. \n\nStarting from left to right, we have:\n\n9742 - 8792 = 950\n\n950 + 8215 = 9165\n\n9165 - 1924 = 7241\n\n7241 - 4604 = 2637\n\n2637 - 8362 = -5725\n\n-5725 + 4329 = -1396\n\nTherefore, the answer to the given arithmetic operation is -1396."
}
]
| 0.938437 |
open_orca | open_orca_flan.1034048 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve -6188 - 685 + 879 = -333*t for t."
},
{
"role": "assistant",
"content": "To solve the equation -6188 - 685 + 879 = -333*t for t, follow these steps:\n\n1. Simplify the left side of the equation:\n Combine the constants by performing their mathematical operations.\n\n -6188 - 685 + 879 = -6188 + (-685) + 879\n = (-6188 + 879) - 685\n = -5309 - 685\n = -5994\n\n So, the simplified equation is -5994 = -333*t.\n\n2. Isolate the variable 't':\n To do this, divide both sides of the equation by -333.\n\n -5994 = -333*t\n t = -5994 / -333\n\n3. Solve for 't':\n Calculate the value of 't' by dividing -5994 by -333.\n\n t = (-5994) / (-333)\n t = 18\n\nSo, the solution to the equation -6188 - 685 + 879 = -333*t for t is t = 18."
}
]
| 0.938421 |
open_orca | open_orca_flan.37493 | [
{
"role": "system",
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old."
},
{
"role": "user",
"content": "Problem: Solve 40*x + 153 = 23*x for x.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve this problem, we need to get all the x terms on one side of the equation and all the constant terms on the other side. \n\nSo, let's start by subtracting 23*x from both sides of the equation: \n\n40*x + 153 - 23*x = 17*x + 153 \n\nNow, we have all the x terms on one side and all the constant terms on the other side. \n\nNext, we need to isolate x by dividing both sides of the equation by 17: \n\n(40*x + 153 - 23*x) / 17 = (17*x + 153) / 17 \n\nSimplifying the left side of the equation: \n\n(17*x + 153) / 17 = x + 9 \n\nSo, the solution is x + 9. \n\nTo check our answer, we can substitute x + 9 back into the original equation: \n\n40*(x + 9) + 153 = 23*(x + 9) \n\nExpanding and simplifying: \n\n40*x + 360 + 153 = 23*x + 207 \n\n40*x - 23*x = 207 - 360 - 153 \n\n17*x = -306 \n\nx = -18 \n\nTherefore, the solution to the equation 40*x + 153 = 23*x is x = -18."
}
]
| 0.93832 |
open_orca | open_orca_flan.1695607 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve -40 = -32*o + 22*o for o."
},
{
"role": "assistant",
"content": "To solve the equation -40 = -32*o + 22*o for o, follow these steps:\n\n1. Combine the terms with o: \n -40 = -32*o + 22*o\n -40 = (-32 + 22)*o\n -40 = -10*o\n\n2. Isolate the variable o by dividing both sides of the equation by -10:\n -40 / -10 = (-10*o) / -10\n 4 = o\n\nThe solution to the equation is o = 4."
}
]
| 0.938312 |
open_orca | open_orca_niv.436416 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nQ: 2677 + 2985 - 4137 + 3098 + 56\nA: "
},
{
"role": "assistant",
"content": "Given the arithmetic expression:\n\n2677 + 2985 - 4137 + 3098 + 56\n\nFirst, we'll follow the given instructions and swap '+' with '-' and '-' with '+'.\n\nSo, the expression becomes:\n\n2677 - 2985 + 4137 - 3098 - 56\n\nNow, let's perform the arithmetic operations step by step:\n\n1. Subtract 2985 from 2677:\n \n 2677 - 2985 = -308\n\n2. Add 4137 to the result:\n\n -308 + 4137 = 3829\n\n3. Subtract 3098 from the result:\n\n 3829 - 3098 = 731\n\n4. Subtract 56 from the result:\n\n 731 - 56 = 675\n\nSo, the answer to the expression is 675."
}
]
| 0.938305 |
open_orca | open_orca_flan.2382740 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Problem: Solve 189*i - 1968 = 266*i + 958 for i.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the equation 189*i - 1968 = 266*i + 958 for i, we will first move all terms containing 'i' on one side and all constant terms on the other side of the equation.\n\nStep 1: Move 'i' terms to the left side of the equation.\nTo do this, we need to subtract 266*i from both sides:\n\n(189 * i - 1968) - 266 * i = (266 * i + 958) - 266 * i\n\nSimplifying the equation, we get:\n\n189 * i - 266 * i - 1968 = 958\n\nStep 2: Combine 'i' terms on the left side:\n\n(189 - 266) * i - 1968 = 958\n\nwhich simplifies to:\n\n-77 * i - 1968 = 958\n\nStep 3: Move constant terms to the right side of the equation.\nTo do this, we need to add 1968 to both sides:\n\n-77 * i - 1968 + 1968 = 958 + 1968\n\nSimplifying the equation, we get:\n\n-77 * i = 2926\n\nStep 4: Solve for 'i' by dividing both sides by -77:\n\ni = 2926 / -77\n\nSimplifying further, we find the value of i:\n\ni = -38\n\nSo, the answer is i = -38."
}
]
| 0.938294 |
open_orca | open_orca_niv.425100 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"role": "user",
"content": "Definition: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nInput: 3794 - 1029 + 2452 - 8797 - 9851 + 2015 + 6723 - 9202\nOutput:"
},
{
"role": "assistant",
"content": "To solve this expression while swapping the '+' and '-' symbols, we have the following:\n\n3794 + 1029 - 2452 + 8797 + 9851 - 2015 - 6723 + 9202\n\nNow we perform the calculations:\n\n(3794 + 1029 + 8797 + 9851 + 9202) - (2452 + 2015 + 6723)\n= (32673) - (11190)\n= 21483"
}
]
| 0.938232 |
open_orca | open_orca_flan.1259046 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Problem: Solve -38500 = 4084*i - 52393 - 54935 - 12852 for i.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the problem, we need to isolate the variable i. Here's the equation:\n\n-38500 = 4084 * i - 52393 - 54935 - 12852\n\nStep 1: Combine the constant terms on the right side of the equation:\n\n-38500 = 4084 * i - (52393 + 54935 + 12852)\n\n-38500 = 4084 * i - 120180\n\nStep 2: Add 120180 to both sides of the equation to move the constant term to the left side:\n\n-38500 + 120180 = 4084 * i\n\n81680 = 4084 * i\n\nStep 3: Divide both sides by 4084 to solve for i:\n\n81680 / 4084 = i\n\ni ≈ 19.989\n\nSo, the answer is i ≈ 19.989."
}
]
| 0.938203 |
open_orca | open_orca_niv.409901 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nQ: 8989 + 3764 + 6882 - 5679 + 9597 + 3287 + 3922 + 6610\nA: "
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 8989 + 3764 + 6882 - 5679 + 9597 + 3287 + 3922 + 6610\n\nAs per the given instructions, we need to perform subtraction when we see a '+' symbol and addition in case of '-' symbol. So, we can rewrite the given operation as:\n\n8989 - 3764 - 6882 + 5679 - 9597 + 3287 + 3922 - 6610\n\nNow, we can perform the arithmetic operations from left to right:\n\n= 5225 - 6882 + 5679 - 9597 + 3287 + 3922 - 6610\n= -5786\n\nTherefore, the answer is -5786."
}
]
| 0.938184 |
open_orca | open_orca_flan.1747280 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve -427 = -326*o + 6156 + 2871 for o."
},
{
"role": "assistant",
"content": "To find the value of o, we'll follow these steps:\n\n1. Combine the constants (6156 and 2871) on the right side of the equation.\n2. Add 427 to both sides of the equation to isolate the term -326*o.\n3. Divide by -326 to both sides of the equation to solve for o.\n\nLet's work through these steps:\n\n1. 6156 + 2871 = 9027\nSo the equation becomes, -427 = -326*o + 9027\n\n2. Add 427 to both sides:\n-427 + 427 = -326*o + 9027 + 427\n0 = -326*o + 9454\n\n3. Now, to solve for o, divide both sides by -326:\no = (9454 / -326)\no ≈ -29\n\nThe solution to the equation is o ≈ -29."
}
]
| 0.938183 |
open_orca | open_orca_niv.390201 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\n\n780 + 3603 + 3280 + 792 - 1294 + 8264 - 6683 - 1025\nOutput:"
},
{
"role": "assistant",
"content": "The task is asking you to solve an arithmetic problem, but with a twist: the symbols of \"+\" and \"-\" have been swapped. This means you'll perform subtraction when you see a \"+\" symbol, and addition when you see a \"-\" symbol. Here are the simple steps to follow:\n\n1. Identify the arithmetic operation: \n 780 + 3603 + 3280 + 792 - 1294 + 8264 - 6683 - 1025\n\n2. Swap the \"+\" and \"-\" symbols according to the given guidelines:\n 780 - 3603 - 3280 - 792 + 1294 - 8264 + 6683 + 1025\n\n3. Solve the arithmetic problem step by step, following the new operation symbols:\n a) Subtract 3603 from 780:\n 780 - 3603 = -2823\n b) Subtract 3280 from -2823:\n -2823 - 3280 = -6103\n c) Subtract 792 from -6103:\n -6103 - 792 = -6895\n d) Add 1294 to -6895:\n -6895 + 1294 = -5601\n e) Subtract 8264 from -5601:\n -5601 - 8264 = -13865\n f) Add 6683 to -13865:\n -13865 + 6683 = -7182\n g) Add 1025 to -7182:\n -7182 + 1025 = -6157\n\n4. The output of the arithmetic operation with swapped symbols is:\n -6157"
}
]
| 0.938176 |
open_orca | open_orca_flan.737134 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve -2282*x + 480 = -2252*x for x."
},
{
"role": "assistant",
"content": "To solve the equation -2282*x + 480 = -2252*x for x, we need to isolate the variable x on one side of the equation.\n\nStep 1: Start by subtracting -2252*x from both sides of the equation to eliminate the term on the right side:\n-2282*x + 480 - (-2252*x) = -2252*x - (-2252*x)\n-2282*x + 480 + 2252*x = 0\n\nStep 2: Combine like terms on the left side of the equation:\n(-2282*x + 2252*x) + 480 = 0\n(-30*x) + 480 = 0\n\nStep 3: Next, subtract 480 from both sides of the equation to isolate the term with x:\n(-30*x) + 480 - 480 = 0 - 480\n-30*x = -480\n\nStep 4: Divide both sides of the equation by -30 to solve for x:\n(-30*x) / -30 = (-480) / -30\nx = 16\n\nTherefore, the solution to the equation -2282*x + 480 = -2252*x is x = 16."
}
]
| 0.938156 |
open_orca | open_orca_niv.86875 | [
{
"role": "system",
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nQ: [72, -63, -99, 27, 2, -65, -91, 18, -34]\nA:"
},
{
"role": "assistant",
"content": "To solve this problem, we will go through each element in the given list and apply the required operations based on whether the element is even or odd. Let's break down the problem step-by-step:\n\n1. The given list of integers is: [72, -63, -99, 27, 2, -65, -91, 18, -34]\n2. We will iterate through each element of the list and perform the necessary operations:\n - For even numbers: Divide by 4\n - For odd numbers: Multiply by 4, then add 2\n\nLet's apply these operations to each element:\n\n- 72 (even): 72 / 4 = 18\n- -63 (odd): (-63 * 4) + 2 = -250\n- -99 (odd): (-99 * 4) + 2 = -394\n- 27 (odd): (27 * 4) + 2 = 110\n- 2 (even): 2 / 4 = 0.5\n- -65 (odd): (-65 * 4) + 2 = -258\n- -91 (odd): (-91 * 4) + 2 = -362\n- 18 (even): 18 / 4 = 4.5\n- -34 (even): -34 / 4 = -8.5\n\nNow our new list with the results will be: [18, -250, -394, 110, 0.5, -258, -362, 4.5, -8.5]\n\nSo, the answer is: [18, -250, -394, 110, 0.5, -258, -362, 4.5, -8.5]"
}
]
| 0.938153 |
open_orca | open_orca_niv.260893 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\n\n445 # 7129 @ 3555 # 5094 # 1440 @ 7708 @ 7150\nOutput:"
},
{
"role": "assistant",
"content": "To solve this task, we need to follow the given instructions and replace the symbols '@' and '#' with their respective arithmetic operators '+' and '-'. Then we can perform the arithmetic operations in the given equation to find the answer.\n\nSo, the given equation can be rewritten as:\n\n445 - 7129 + 3555 - 5094 - 1440 + 7708 + 7150\n\nNow, we can perform the arithmetic operations in the equation from left to right, following the order of operations (parentheses, exponents, multiplication/division, addition/subtraction):\n\n445 - 7129 = -6684\n-6684 + 3555 = -3129\n-3129 - 5094 = -8223\n-8223 - 1440 = -9663\n-9663 + 7708 = -1955\n-1955 + 7150 = 5195\n\nTherefore, the answer to the given equation is 5195."
}
]
| 0.938137 |
open_orca | open_orca_flan.2010534 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math problem: Solve -434 = -5*c - 424 for c.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "We want to solve -434 = -5*c - 424 for c. Let's go through it step-by-step:\n\nStep 1: Add 424 to both sides of the equation to isolate the term containing the variable c.\n-434 + 424 = -5*c - 424 + 424\n-10 = -5*c\n\nStep 2: Divide both sides of the equation by -5 to solve for c.\n(-10) / (-5) = (-5*c) / (-5)\n2 = c\n\nThe solution is c = 2."
}
]
| 0.93811 |
open_orca | open_orca_niv.40838 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "In this task you will be given a list of integers. For every element in the list, if the element is positive you should multiply it by 2. If the element is negative you should multiply it by -3. The output should be a list of integers that is the result of applying that logic to the input list.\n Note: A list is presented with comma separated numbers inside two brackets.\n\n[-39, -48, -57, 24, 57, -85, 77, -62, 77]"
},
{
"role": "assistant",
"content": "To come up with the answer, we first need to understand and implement the given logic.\n\n1. For every positive element, multiply by 2.\n2. For every negative element, multiply by -3.\n\nLet's go through the input list step by step and apply the rules:\n\n1. -39 (negative) -> -39 * -3 = 117\n2. -48 (negative) -> -48 * -3 = 144\n3. -57 (negative) -> -57 * -3 = 171\n4. 24 (positive) -> 24 * 2 = 48\n5. 57 (positive) -> 57 * 2 = 114\n6. -85 (negative) -> -85 * -3 = 255\n7. 77 (positive) -> 77 * 2 = 154\n8. -62 (negative) -> -62 * -3 = 186\n9. 77 (positive) -> 77 * 2 = 154\n\nAfter applying the given logic to the input list, we get the following output list:\n\n[117, 144, 171, 48, 114, 255, 154, 186, 154]"
}
]
| 0.938106 |
open_orca | open_orca_flan.337615 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve 464 = -123*o - 745 - 1128 for o."
},
{
"role": "assistant",
"content": "To solve this equation, we are going to isolate the variable 'o' step by step:\n\nGiven equation:\n464 = -123*o - 745 -1128\n\nStep 1: Combine all the constants (the numbers without variables) on the right side of the equation:\n464 = -123*o - (745 + 1128)\n464 = -123*o - 1873\n\nStep 2: Add 1873 to both sides of the equation to isolate the term with the variable 'o':\n464 + 1873 = -123*o\n2337 = -123*o\n\nStep 3: Divide by -123 on both sides of the equation to solve for 'o':\n2337 / -123 = -123*o / -123\no = -19\n\nThe solution to the equation is o = -19."
}
]
| 0.938098 |
open_orca | open_orca_flan.1365558 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -602*a + 211*a = 7388 - 12518 - 32797 for a.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve this equation for the variable 'a', we need to follow these steps:\n\nStep 1: Combine like terms on both sides of the equation.\nWe have -602*a + 211*a on the left side, and 7388 - 12518 - 32797 on the right side.\n\nCombining like terms on the left side:\n-602*a + 211*a = (-602 + 211) * a\n= -391 * a\n\nCombining terms on the right side:\n7388 - 12518 - 32797 = (7388 - 12518) - 32797\n= -6130 - 32797\n= -38927\n\nSo now our equation looks like this:\n-391 * a = -38927\n\nStep 2: Isolate the variable 'a'\nNow we need to isolate 'a' by dividing both sides of the equation by -391:\n-391 * a = -38927\na = -38927 / -391\n\nStep 3: Calculate the value of 'a'\na = -38927 / -391 = 99.56 (rounded to two decimal places)\n\nSo, the solution to the equation -602*a + 211*a = 7388 - 12518 - 32797 is a = 99.56 (rounded to two decimal places)."
}
]
| 0.938084 |
open_orca | open_orca_flan.1076337 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Write down the solution for this math problem: Solve -208*b - 2845 + 603 - 670 = 0 for b."
},
{
"role": "assistant",
"content": "To solve the equation -208*b - 2845 + 603 - 670 = 0 for b, follow these steps:\n\nStep 1: Simplify the equation\nCombine like terms on the left side of the equation:\n\n-2845 + 603 - 670 = -2912 (since -2845 + 603 = -2242 and -2242 - 670 = -2912)\n\nSo the equation becomes:\n\n-208*b - 2912 = 0\n\nStep 2: Isolate the variable (b)\nTo isolate the variable b, add 2912 to both sides of the equation:\n\n-208*b - 2912 + 2912 = 0 + 2912\n\nThis simplifies to:\n\n-208*b = 2912\n\nStep 3: Solve for b\nTo get the value of b, divide both sides of the equation by -208:\n\nb = 2912 / -208\n\nb ≈ -14 (since 2912 / -208 = -14)\n\nSo the solution to the equation is b ≈ -14."
}
]
| 0.938084 |
open_orca | open_orca_flan.1455204 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Write down the solution for this math problem: Solve 9092 + 7618 + 805 = -202*j + 2971 for j."
},
{
"role": "assistant",
"content": "To solve the given equation, follow these steps:\n\nStep 1: Add the numbers on the left side.\n9092 + 7618 + 805 = 17515\n\nThe equation now looks like this:\n17515 = -202*j + 2971\n\nStep 2: Isolate the term with the variable (j) by moving the constant 2971 from the right side to the left side. To do this, subtract 2971 from both sides of the equation.\n17515 - 2971 = -202*j\n\nStep 3: Calculate the value on the left side.\n14644 = -202*j\n\nStep 4: Solve for 'j' by dividing both sides by -202. \nj = 14644 / (-202)\n\nStep 5: Calculate the value of 'j'.\nj ≈ -72.475247524752475\n\nThus, j ≈ -72.48 (rounded to two decimal places)."
}
]
| 0.938057 |
open_orca | open_orca_niv.26697 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Teacher:In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nTeacher: Now, understand the problem? Solve this instance: [67, 16, -81, 85, -94, -64, -80]\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. Let's solve this instance step by step:\n\n1. We have the input list: [67, 16, -81, 85, -94, -64, -80]\n\n2. Start with the first element (67): Since it's odd, multiply by 4 and then add 2:\n 67 * 4 + 2 = 270\n\n3. Move to the second element (16): Since it's even, divide by 4:\n 16 / 4 = 4\n\n4. Continue with the third element (-81): Since it's odd, multiply by 4 and then add 2:\n -81 * 4 + 2 = -322\n\n5. Move to the fourth element (85): Since it's odd, multiply by 4 and then add 2:\n 85 * 4 + 2 = 342\n\n6. Continue with the fifth element (-94): Since it's even, divide by 4:\n -94 / 4 = -23.5\n\n7. Move to the sixth element (-64): Since it's even, divide by 4:\n -64 / 4 = -16\n\n8. Lastly, the seventh element (-80): Since it's even, divide by 4:\n -80 / 4 = -20\n\n9. Combine all the results into a new list:\n [270, 4, -322, 342, -23.5, -16, -20]\n\n10. The final output list is:\n [270, 4, -322, 342, -23.5, -16, -20]"
}
]
| 0.938048 |
open_orca | open_orca_flan.1872468 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -569 = -6*x - 1370 + 639 for x.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve the equation -569 = -6 * x - 1370 + 639, follow these steps:\n\nStep 1: Simplify the equation by combining the constant terms on the right side of the equation.\n\n-569 = -6 * x - 1370 + 639\n\n-569 = -6 * x - 731\n\nStep 2: Isolate the variable term by adding 731 to both sides of the equation.\n\n-569 + 731 = -6 * x - 731 + 731\n\n162 = -6 * x\n\nStep 3: Isolate the variable x by dividing both sides of the equation by -6.\n\n162 / (-6) = -6 * x / (-6)\n\n-27 = x\n\nThe solution to the equation -569 = -6 * x - 1370 + 639 is x = -27.\n"
}
]
| 0.938033 |
open_orca | open_orca_niv.11527 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "In this task you are given a list of numbers and you need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) /2. The output should be a list of the averages of each two consecutive values. A list is presented with two brackets and comma-separated values, like: [1,2,3].\n\n[-18, -52, -55, 98, -79, -42]"
},
{
"role": "assistant",
"content": "Step 1: Identify each pair of consecutive numbers: \nPair 1: -18 and -52 \nPair 2: -52 and -55 \nPair 3: -55 and 98 \nPair 4: 98 and -79 \nPair 5: -79 and -42 \n\nStep 2: Calculate the average of each pair using formula (a + b) / 2 :\n\nPair 1: (-18 - 52) / 2 = -70 / 2 = -35 \nPair 2: (-52 - 55) / 2 = -107 / 2 = -53.5 \nPair 3: (-55 + 98) / 2 = 43 / 2 = 21.5 \nPair 4: (98 - 79) / 2 = 19 / 2 = 9.5 \nPair 5: (-79 - 42) / 2 = -121 / 2 = -60.5 \n\nStep 3: Combine all averages into one list: \n[-35, -53.5, 21.5, 9.5, -60.5] \n\nTherefore, the list of the averages of each two consecutive values in the list [-18, -52, -55, 98, -79, -42] is [-35, -53.5, 21.5, 9.5, -60.5]."
}
]
| 0.937933 |
open_orca | open_orca_niv.380367 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given a list of integers. You should find the maximum absolute difference between 2 integers in the list. The absolute difference is the absolute value of one integer subtracted by another. The output should be a single integer which is the largest possible absolute distance.\nProblem:[-60, -58, -16, 14, -36, -4, 82, 47]\nSolution:"
},
{
"role": "assistant",
"content": "This task is asking you to find the maximum absolute difference between two integers in a given list.\n\nHere is a breakdown of the task and guidelines:\n\n1. You are given a list of integers. In this case, the list is: [-60, -58, -16, 14, -36, -4, 82, 47].\n\n2. Calculate the absolute difference between each pair of integers in the list. Absolute difference is the absolute value of the difference between two integers. For example, the absolute difference between -60 and -58 is |(-60) - (-58)| = 2.\n\n3. Find the largest absolute difference among all possible pairs in the list. This is your final answer.\n\nLet's use these guidelines to find the answer:\n\nStep 1: The list of integers in this problem is [-60, -58, -16, 14, -36, -4, 82, 47].\n\nStep 2: Calculate the absolute difference between each pair of integers.\n\nSome of the possible absolute differences include:\n\n|(-60) - (-58)| = 2\n|(-60) - (-16)| = 44\n|(-60) - (14)| = 74\n|(-60) - (-36)| = 24\n...\n|(47) - (-58)| = 105\n|(47) - (-16)| = 63\n|(47) - (14)| = 33\n|(47) - (-36)| = 83\n|(47) - (-4)| = 51\n|(47) - (82)| = 35\n\nStep 3: Find the largest absolute difference among all possible pairs. You can see that the largest absolute difference is 146 (between -60 and 82).\n\nSo, the solution is 146."
}
]
| 0.937886 |
open_orca | open_orca_niv.32629 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nQ: [-99, 36, 91, 21, 47, 28, -41, 56]\nA: "
},
{
"role": "assistant",
"content": "To follow the given instructions, I will process the list step-by-step.\n\nGiven list: [-99, 36, 91, 21, 47, 28, -41, 56]\n\n1. -99 is an odd number, so multiply by 4 and add 2: (-99 * 4) + 2 = -394\n2. 36 is an even number, so divide by 4: 36 / 4 = 9\n3. 91 is an odd number, so multiply by 4 and add 2: (91 * 4) + 2 = 366\n4. 21 is an odd number, so multiply by 4 and add 2: (21 * 4) + 2 = 86\n5. 47 is an odd number, so multiply by 4 and add 2: (47 * 4) + 2 = 190\n6. 28 is an even number, so divide by 4: 28 / 4 = 7\n7. -41 is an odd number, so multiply by 4 and add 2: (-41 * 4) + 2 = -162\n8. 56 is an even number, so divide by 4: 56 / 4 = 14\n\nNew list: [-394, 9, 366, 86, 190, 7, -162, 14]\n\nAnswer: [-394, 9, 366, 86, 190, 7, -162, 14]"
}
]
| 0.937865 |
open_orca | open_orca_flan.2195399 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math Problem\nSolve -1260*g - 1122*g - 3075 = -2259*g for g."
},
{
"role": "assistant",
"content": "To solve the equation -1260 * g - 1122 * g - 3075 = -2259 * g for g, we will follow these steps:\n\nStep 1: Combine like terms on the left side of the equation:\nTo do this, we will add the coefficients of the 'g' terms.\n\n(-1260 * g) + (-1122 * g) = (-1260 + (-1122)) * g = -2382 * g\n\nSo the equation now becomes:\n-2382 * g - 3075 = -2259 * g\n\nStep 2: Isolate the 'g' variable:\nTo do this, we will first add 2259 * g to both sides of the equation to get rid of the -2259 * g term on the right side.\n\n-2382 * g + 2259 * g - 3075 = -2259 * g + 2259 * g\n(-2382 + 2259) * g - 3075 = 0\n-123 * g - 3075 = 0\n\nStep 3: Isolate the term with the constant:\nTo do this, we will add 3075 to both sides.\n\n-123 * g - 3075 + 3075 = 0 + 3075\n-123 * g = 3075\n\nStep 4: Solve for 'g':\nTo do this, we will divide both sides by -123.\n\n(-123 * g) / -123 = 3075 / -123\ng = -25\n\nSo the solution for g is -25."
}
]
| 0.93784 |
open_orca | open_orca_flan.1674956 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -277*b + 1858 + 1825 = 636 for b.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve this equation for variable b, follow the steps below:\n\n1. Given equation: -277 * b + 1858 + 1825 = 636\n\n2. First, combine the constant terms on the left side of the equation:\n\n -277 * b + (1858 + 1825) = 636\n\n3. Adding 1858 and 1825, we get:\n\n -277 * b + 3683 = 636\n\n4. Now, in order to isolate the variable b on one side of the equation, we need to subtract 3683 from both sides:\n\n -277 * b + 3683 - 3683 = 636 - 3683\n\n5. This simplifies to:\n\n -277 * b = -3047\n\n6. To solve for b, we need to divide both sides of the equation by -277:\n\n (-277 * b) / -277 = -3047 / -277\n\n7. Simplifying this, we get:\n\n b = 11\n\nTherefore, b = 11 is the solution to the given equation -277 * b + 1858 + 1825 = 636."
}
]
| 0.937819 |
open_orca | open_orca_flan.2361401 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -146*r - 21840 = -89*r + 154*r + 101*r for r.. What is the answer??"
},
{
"role": "assistant",
"content": "Let's solve the given equation step by step.\n\nGiven:\n\n-146*r - 21840 = -89*r + 154*r + 101*r\n\nStep 1: Combine the terms with 'r' on the right-hand side of the equation.\n\n-146*r - 21840 = (-89 + 154 + 101) * r\n\nStep 2: Perform the arithmetic operations within the parentheses.\n\n-146*r - 21840 = (166) * r\n\nStep 3: Add 146*r to both sides of the equation to move all 'r' terms to the right side.\n\n-21840 = 166*r + 146*r\n\nStep 4: Combine the terms with 'r' on the right-hand side of the equation.\n\n-21840 = (166 + 146) * r\n\nStep 5: Perform the arithmetic operations within the parentheses.\n\n-21840 = 312 * r\n\nStep 6: Divide both sides of the equation by 312 in order to isolate 'r'.\n\nr = -21840 / 312\n\nStep 7: Perform the division to find the value of 'r'.\n\nr = -70\n\nSo, the answer is r = -70."
}
]
| 0.937753 |
open_orca | open_orca_flan.932380 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math problem: Solve -4*p - 23 = -47 for p.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "Step 1: Write down the equation\n-4*p - 23 = -47\n\nStep 2: Add 23 to both sides of the equation to isolate the term with the variable (p):\n-4*p - 23 + 23 = -47 + 23\n-4*p = -24\n\nStep 3: Divide both sides of the equation by -4 to solve for p:\n(-4*p) / -4 = (-24) / -4\np = 6\n\nThe solution is p = 6."
}
]
| 0.937749 |
open_orca | open_orca_niv.68379 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Given the task definition and input, reply with output. In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\n\n266 + 3186 - 3614 + 651 - 2670 - 5443\n"
},
{
"role": "assistant",
"content": "The given arithmetic operation is: \n\n266 + 3186 - 3614 + 651 - 2670 - 5443\n\nAs per the task definition, we need to perform subtraction when we see a '+' symbol and addition in case of '-' symbol. So, we can rewrite the given operation as:\n\n266 - 3186 + 3614 - 651 + 2670 + 5443\n\nNow, we can perform the arithmetic operations from left to right:\n\n266 - 3186 = -2920\n\n-2920 + 3614 = 694\n\n694 - 651 = 43\n\n43 + 2670 = 2713\n\n2713 + 5443 = 8156\n\nTherefore, the answer is 8156."
}
]
| 0.937742 |
open_orca | open_orca_flan.941226 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve -42*d + 9989 = -335*d + 3250 for d."
},
{
"role": "assistant",
"content": "Sure, I can help you solve this math problem step-by-step. \n\nFirst, we need to simplify the equation by combining like terms. \n\nStarting with the left side of the equation: \n\n-42*d + 9989 \n\nAnd the right side of the equation: \n\n-335*d + 3250 \n\nCombining like terms on the left side: \n\n-42*d + 9989 = (-42*d) + (10031 - 42) = -42*d + 10031 \n\nCombining like terms on the right side: \n\n-335*d + 3250 = (-335*d) + (10000 - 6750) = -335*d + 3250 \n\nNow we can rewrite the equation as: \n\n-42*d + 10031 = -335*d + 3250 \n\nNext, we want to isolate the variable d on one side of the equation. \n\nWe can do this by adding 335*d to both sides of the equation: \n\n-42*d + 10031 + 335*d = 3250 \n\nSimplifying: \n\n293*d + 10031 = 3250 \n\nSubtracting 10031 from both sides: \n\n293*d = -6771 \n\nFinally, we can solve for d by dividing both sides by 293: \n\nd = -23.14 \n\nTherefore, the solution to the equation is d = -23.14."
}
]
| 0.937739 |
open_orca | open_orca_flan.1373166 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve 420*o - 860*o = -428*o + 48 for o.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve the equation 420 * o - 860 * o = -428 * o + 48 for o, we'll perform the following steps:\n\nStep 1: Combine the terms containing 'o' on the left side of the equation.\n(420 * o - 860 * o) - (-428 * o) = 48\n(420 - 860 + 428) * o = 48\n(-12) * o = 48\n\nStep 2: Isolate 'o' by dividing by the coefficient of 'o' (-12).\no = 48 / (-12)\n\nStep 3: Calculate the value of 'o'.\no = -4\n\nSo, the solution to the equation is o = -4."
}
]
| 0.937693 |
open_orca | open_orca_flan.627988 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Problem: Solve 256*o + 75*o - 2703 + 11971 = 0 for o.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve this equation for o, follow these steps:\n\nStep 1: Combine the terms with 'o' in them:\n(256*o + 75*o) + (-2703 + 11971) = 0\n\nStep 2: Add coefficients of 'o' terms:\n(256 + 75)*o + (-2703 + 11971) = 0\n(331)*o + (-2703 + 11971) = 0\n\nStep 3: Combine the constants:\n331*o + (11971 - 2703) = 0\n331*o + 9268 = 0\n\nStep 4: Isolate 'o' by moving the constant to the other side of the equation:\n331*o = -9268\n\nStep 5: Divide both sides of the equation by the coefficient of 'o' (331):\no = -9268 / 331\no ≈ -28\n\nSo, the approximate value of o is -28."
}
]
| 0.937688 |
open_orca | open_orca_flan.86467 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Write down the solution for this math problem: Solve -9*q - 6 = -7*q for q."
},
{
"role": "assistant",
"content": "To solve the equation -9*q - 6 = -7*q for q, follow these steps:\n\nStep 1: Add +7*q to both sides of the equation to isolate -9*q and -7*q.\n(-9*q - 6) + 7*q = (-7*q) + 7*q\n\nStep 2: Perform the addition to simplify the equation.\n-2*q - 6 = 0\n\nStep 3: Add +6 to both sides of the equation to isolate -2*q.\n(-2*q - 6) + 6 = 0 + 6\n\nStep 4: Perform the addition to simplify the equation.\n-2*q = 6\n\nStep 5: Divide both sides of the equation by -2 to solve for q.\n(-2*q) / (-2) = 6 / (-2)\n\nStep 6: Perform the division to find the value of q.\nq = -3\n\nSo, the solution for the equation -9*q - 6 = -7*q is q = -3."
}
]
| 0.937685 |
open_orca | open_orca_flan.673707 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve -37*p + 16*p = -253*p + 2061 - 7629 for p."
},
{
"role": "assistant",
"content": "Let's solve the given equation step by step:\n\n-37*p + 16*p = -253*p + 2061 - 7629\n\nStep 1: Simplify both sides by combining like terms.\n\n-37*p + 16*p → (-37 + 16) * p → -21*p\nSo the equation becomes:\n-21*p = -253*p + 2061 - 7629\n\nStep 2: Further simplify the right side of the equation:\n\n-253*p + 2061 - 7629 → -253*p + (2061 - 7629) → -253*p - 5568\nThe equation becomes:\n-21*p = -253*p - 5568\n\nStep 3: To isolate the variable p, we'll first add 253*p to both sides of the equation:\n\n(-21*p) + 253*p = -253*p - 5568 + 253*p\n\nSimplifying, we get:\n\n232*p = -5568\n\nStep 4: Now, to find the value of p, we'll divide both sides of the equation by 232:\n\np = -5568 / 232\n\nStep 5: Perform the division:\n\np ≈ -24\n\nSo, the solution to the equation is p ≈ -24."
}
]
| 0.937681 |
open_orca | open_orca_flan.2313475 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve 499*d - 319*d - 333*d - 2448 = 0 for d."
},
{
"role": "assistant",
"content": "To solve the equation:\n\n499*d - 319*d - 333*d - 2448 = 0\n\nStep 1: Combine the terms with the variable 'd'\n\n(499 - 319 - 333) * d - 2448 = 0\n\nStep 2: Perform the subtraction in the parentheses\n\n(180 - 333) * d - 2448 = 0\n(-153) * d - 2448 = 0\n\nStep 3: Isolate the variable 'd' by adding 2448 to both sides of the equation\n\n-153 * d = 2448\n\nStep 4: Solve for 'd' by dividing both sides by -153\n\nd = 2448 / -153\n\nStep 5: Perform the division\n\nd = -16\n\nTherefore, the solution for the given equation is d = -16."
}
]
| 0.937663 |
open_orca | open_orca_flan.170155 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve -12839 = -42907*l + 42560*l for l.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve for l, we need to isolate the variable on one side of the equation. \n\nFirst, we can simplify the equation by combining like terms: \n\n-12839 = (-42907 + 42560) * l \n\n-12839 = -347 * l \n\nNext, we can isolate l by dividing both sides by -347: \n\nl = (-12839) / (-347) \n\nl = 37.00578034682081 \n\nTherefore, the solution for l is approximately 37.00578034682081."
}
]
| 0.937662 |
open_orca | open_orca_flan.1333542 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math problem: Solve -189434 = -152*l - 197034 for l.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "To solve the equation, we will follow these steps:\n\n1. Isolate the term with the variable 'l'.\n2. Divide both sides by the coefficient of 'l'.\n\nThe given equation is:\n-189434 = -152*l - 197034\n\nStep 1: To isolate the term with the variable 'l', add 197034 to both sides of the equation:\n\n-189434 + 197034 = -152*l - 197034 + 197034\n\nThis simplifies to:\n\n7560 = -152*l\n\nStep 2: Now, to find the value of 'l', we will divide both sides by the coefficient of 'l', which is -152:\n\n7560 / -152 = (-152*l) / -152\n\nThis results in:\n\nl = -49.73684210526317\n\nSo, the solution is l ≈ -49.74 (rounded to two decimal places)."
}
]
| 0.937651 |
open_orca | open_orca_niv.301500 | [
{
"role": "system",
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nProblem:3593 + 5412 - 5799 + 2268 + 1206 - 2695 + 5390 + 2734\nSolution:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to follow the given instructions which state that we have to perform subtraction when we see a '+' symbol and addition in case of '-' symbol. \n\nSo, let's rewrite the problem with the correct operators:\n\n3593 - 5412 + 5799 - 2268 - 1206 + 2695 - 5390 - 2734\n\nNow, we can simply perform the arithmetic operations from left to right:\n\n= -1824 + 5799 - 2268 - 1206 + 2695 - 5390 - 2734\n= -1544\n\nTherefore, the answer to the given arithmetic operation is -1544."
}
]
| 0.937639 |
open_orca | open_orca_niv.232824 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nQ: 7845 - 853 - 1940 - 3885 + 9503 + 3167 + 6113 + 819 - 1102\nA: "
},
{
"role": "assistant",
"content": "First, we need to swap the symbols of '+' and '-' as per the instructions. So the given arithmetic operation becomes:\n\n7845 + 853 + 1940 + 3885 - 9503 - 3167 - 6113 - 819 + 1102\n\nNow, we can perform the addition and subtraction operations from left to right, following the order of operations (PEMDAS). \n\nStarting from the left, we have:\n\n7845 + 853 = 8698\n\n8698 + 1940 = 10638\n\n10638 + 3885 = 14523\n\n14523 - 9503 = 5020\n\n5020 - 3167 = 1853\n\n1853 - 6113 = -4260\n\n-4260 - 819 = -5079\n\n-5079 + 1102 = -3977\n\nTherefore, the answer to the given arithmetic operation is -3977."
}
]
| 0.937578 |
open_orca | open_orca_flan.1045313 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Write down the solution for this math problem: Solve -113*i - 17784 = 135*i - 38*i + 102*i for i."
},
{
"role": "assistant",
"content": "Sure, I can help you solve this math problem step-by-step. \n\nFirst, let's simplify the left-hand side of the equation: \n\n-113*i - 17784 = (-113 + 135 - 38 + 102)*i \n\nSimplifying the right-hand side: \n\n(-113 + 135 - 38 + 102)*i = 86*i \n\nNow we have: \n\n-113*i - 17784 = 86*i \n\nNext, we want to isolate the variable i on one side of the equation. To do this, we can add 113i to both sides: \n\n-17784 = 199*i \n\nFinally, we can solve for i by dividing both sides by 199: \n\ni = -89.5226 \n\nTherefore, the solution for the equation is i = -89.5226."
}
]
| 0.937578 |
open_orca | open_orca_flan.2161148 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math Problem\nSolve -177*k - 188 = -217 + 1445 for k."
},
{
"role": "assistant",
"content": "To solve -177*k - 188 = -217 + 1445 for k, we need to isolate variable k on one side of the equation. Here are the steps:\n\n1. Combine the constant terms on both sides of the equation:\n -177*k - 188 + 188 = -217 + 1445 + 188\n -177*k = 1228 (since -217 + 1445 + 188 = 1228)\n\n2. Isolate the variable k by dividing both sides of the equation by -177:\n k = 1228 / -177\n\n3. Perform the division to get the value of k:\n k = -6.93785310734463 (approximately)\n\nSo the solution is k ≈ -6.94."
}
]
| 0.937512 |
open_orca | open_orca_cot.17272 | [
{
"role": "system",
"content": "You are an AI assistant that helps people find information."
},
{
"role": "user",
"content": "Use some thinking to answer the following question. The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?\nOptions:\n(A) 46\n(B) 48\n(C) 50\n(D) 52\n(E) 54"
},
{
"role": "assistant",
"content": "Let's denote the numbers as x1, x2, ...x13, and let's call the 8th number x.\n\nAccording to the problem, the average of the first 6 numbers is 57, and the average of the last 8 numbers is 61. We can write this as:\n\n(1) (x1 + x2 + ... + x6)/6 = 57\n(2) (x + x9 + x10 + ... + x13)/8 = 61\n\nNow, let's find the sum of the first 6 numbers, and sum of the last 8 numbers, respectively:\n\n(3) x1 + x2 + ... + x6 = 57 * 6 = 342\n(4) x + x9 + x10 + ... + x13 = 61 * 8 = 488\n\nWe also know the average of all 13 numbers, which is 60:\n\n(5) (x1 + x2 + ... + x13)/13 = 60\n\nLet's find the sum of all 13 numbers:\n\n(6) x1 + x2 + ... + x13 = 60 * 13 = 780\n\nNow, let's subtract the sum of the first 6 numbers (Equation 3) from the sum of all 13 numbers (Equation 6) and subtract the sum of the last 8 numbers (Equation 4) from the sum of all 13 numbers (Equation 6):\n\n(7) 780 - 342 = x + x7 + x8 + x9 + x10 + x11 + x12 + x13\n(8) 780 - 488 = x1 + x2 + x3 + x4 + x5 + x6 + x7\n\nNow, let's subtract Equation 8 from Equation 7:\n\n(9) (780 - 342) - (780 - 488) = x7 + x8\n(10) 438 - 292 = x7 + x8\n(11) 146 = x7 + x8\n\nWe know that x is the 8th number, which means x = x8. So, we can rewrite Equation 11 as:\n\n(12) 146 = x7 + x\n\nLet's now subtract the sum of the first 7 numbers (Equation 8) from the sum of the first 6 numbers (Equation 3):\n\n(13) (780 - 488) - 342 = x7\n\nSolve for x7:\n\n(14) 292 - 342 = x7\n(15) -50 = x7\n\nNow, substitute the value of x7 from Equation 15 into Equation 12:\n\n(16) 146 = (-50) + x\n\nSolve for x:\n\n(17) x = 146 + 50\n\n(18) x = 196\n\nSince the 196 is not in the given options, there might be a mistake in the given information or the options provided."
}
]
| 0.937487 |
wizardlm | wizardlm_alpaca_46965 | [
{
"role": "user",
"content": "Compute the following expression involving integers: the sum of 10 and the product of 6 and 7, subtracted by the difference of 58 from the result obtained."
},
{
"role": "assistant",
"content": "The expression can be written as:\n(10 + 6 * 7) - (10 + 6 * 7 - 58)\nSimplifying the expression, we get:\n(10 + 42) - (42 - 58)\n52\nTherefore, the result is 52."
}
]
| 0.937484 |
open_orca | open_orca_niv.75139 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "Q: In this task you are given a list of numbers and you need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) /2. The output should be a list of the averages of each two consecutive values. A list is presented with two brackets and comma-separated values, like: [1,2,3].\n[-23, -77, -19, -6, 86, -61, 58, -52]\nA:"
},
{
"role": "assistant",
"content": "Let's calculate the average of each pair of consecutive values in the given list:\n\nInput list: [-23, -77, -19, -6, 86, -61, 58, -52]\n\n1. The average of -23 and -77: (-23 + -77) / 2 = -50\n2. The average of -77 and -19: (-77 + -19) / 2 = -48\n3. The average of -19 and -6: (-19 + -6) / 2 = -12.5\n4. The average of -6 and 86: (-6 + 86) / 2 = 40\n5. The average of 86 and -61: (86 + -61) / 2 = 12.5\n6. The average of -61 and 58: (-61 + 58) / 2 = -1.5\n7. The average of 58 and -52: (58 + -52) / 2 = 3\n\nThe output list of the averages of each two consecutive values is: [-50, -48, -12.5, 40, 12.5, -1.5, 3]"
}
]
| 0.937469 |
open_orca | open_orca_flan.1092782 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math problem: Solve -227 - 217 = -37*n for n.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "To solve the equation -227 - 217 = -37 * n for n, follow these steps:\n\nStep 1: Combine the constants on the left side of the equation:\n-227 - 217 = -444\n\nSo, the equation becomes:\n-444 = -37 * n\n\nStep 2: Isolate 'n' by dividing both sides of the equation by -37:\n(-444) / (-37) = (-37 * n) / (-37)\n\nStep 3: Calculate the value of 'n':\nn = 12\n\nSo, the solution of the equation is n = 12."
}
]
| 0.937391 |
open_orca | open_orca_flan.1727225 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math Problem\nSolve -212*b - 309*b = 336*b - 48849 for b."
},
{
"role": "assistant",
"content": "Sure, I can help you solve this math problem step-by-step.\n\nFirst, we need to simplify the left-hand side of the equation by combining the like terms. \n\n-212*b - 309*b = ( -212 - 309 ) * b = -521 * b \n\nNow, we can substitute this value into the original equation and simplify the right-hand side of the equation by combining the like terms. \n\n-521 * b = 336 * b - 48849 \n\n-521 * b - 336 * b = -48849 \n\n-857 * b = -48849 \n\nFinally, we can solve for b by dividing both sides of the equation by -857. \n\nb = -48849 / -857 \n\nb = 57 \n\nTherefore, the solution to the equation -212*b - 309*b = 336*b - 48849 is b = 57."
}
]
| 0.937383 |
open_orca | open_orca_flan.121306 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -21*b - 50 - 44 = -367 for b.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve the given equation -21*b - 50 - 44 = -367 for b, we must follow the appropriate algebraic steps.\n\n1. Firstly, combine any like terms:\n\n-21*b - 50 - 44 can be combined as follows:\n\n-21*b - 94\n\nNow, the equation looks like this:\n\n-21*b - 94 = -367\n\n2. Next, isolate b by adding the constant term to each side of the equation:\n\n-21*b - 94 + 94 = -367 + 94\n\nWhich simplifies to:\n\n-21*b = -273\n\n3. Finally, divide both sides of the equation by the coefficient -21 of the variable b:\n\n(-21*b) / (-21) = (-273) / (-21)\n\nWhen we divide both sides by -21, we get:\n\nb = 13\n\nSo, the solution of the equation -21*b - 50 - 44 = -367 is b = 13."
}
]
| 0.937382 |
open_orca | open_orca_niv.307519 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\nQ: 4015 @ 1574 # 7953 @ 1205 @ 5975 # 1990 @ 5598\nA:"
},
{
"role": "assistant",
"content": "Hello! In this task, you are given an arithmetic operation that involves the symbols '@' and '#'. Your task is to replace the '@' symbol with the addition operator '+' and the '#' symbol with the subtraction operator '-'. \n\nThe equation you need to solve is: 4015 @ 1574 # 7953 @ 1205 @ 5975 # 1990 @ 5598\n\nTo solve this equation, you need to follow the order of operations, which is parentheses, exponents, multiplication and division (performed from left to right), and addition and subtraction (also performed from left to right). \n\nHowever, since there are no parentheses or exponents in this equation, you can simply perform the operations from left to right. \n\nSo, let's replace the '@' symbol with '+' and the '#' symbol with '-'. The equation becomes: \n\n4015 + 1574 - 7953 + 1205 + 5975 - 1990 - 5598\n\nNow, you can add and subtract the numbers in the equation from left to right: \n\n4015 + 1574 = 5589\n5589 - 7953 = -2364\n-2364 + 1205 = -1159\n-1159 + 5975 = 4816\n4816 - 1990 = 2826\n2826 - 5598 = -2772\n\nTherefore, the answer to the equation is -2772."
}
]
| 0.937364 |
open_orca | open_orca_flan.793367 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve -d + 29 - 78 = -40 for d."
},
{
"role": "assistant",
"content": "To solve the equation -d + 29 - 78 = -40 for d, follow these steps:\n\nStep 1: Combine like terms on the left side of the equation.\n- There are two constants on the left side: 29 and -78. Combine these to simplify the equation:\n- (-d) + (29 - 78) = -d - 49 (since 29 - 78 = -49)\n\nStep 2: Rewrite the equation:\n- The new equation is now: -d - 49 = -40\n\nStep 3: Isolate the variable (d) on one side.\n- To do this, first add 49 to both sides of the equation:\n- (-d - 49) + 49 = -40 + 49\n- This simplifies to: -d = 9 (since -40 + 49 = 9)\n\nStep 4: Solve for d.\n- Now we need to get rid of the negative sign in front of d. Multiply both sides of the equation by -1:\n- (-1)(-d) = (-1)(9)\n- This simplifies to: d = -9 (since -1 * 9 = -9)\n\nSo the solution to the equation is d = -9."
}
]
| 0.937325 |
open_orca | open_orca_flan.1794505 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve -13*s - 1376 = -1285 for s."
},
{
"role": "assistant",
"content": "Step 1: Rewrite the equation.\n-13*s - 1376 = -1285\n\nStep 2: Add 1376 to both sides of the equation to isolate the term with the variable.\n-13*s - 1376 + 1376 = -1285 + 1376\n\nStep 3: Simplify both sides of the equation.\n-13*s = 91\n\nStep 4: Divide both sides of the equation by -13 to solve for s.\n(-13*s) / (-13) = 91 / (-13)\n\nStep 5: Simplify the equation.\ns = -7\n\nSo, the solution is s = -7."
}
]
| 0.937285 |
open_orca | open_orca_niv.178014 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Q: In this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\n2706 # 5853 @ 1638 # 6316 @ 8829 @ 3793 @ 3767\nA:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (performed from left to right), and addition and subtraction (also performed from left to right). However, since there are no parentheses or exponents in the given equation, we can simply perform the operations from left to right.\n\nStarting with the first operation, we have:\n\n2706 # 5853 = 2706 - 5853 = -3147\n\nNext, we have:\n\n-3147 @ 1638 = -3147 + 1638 = -1509\n\nContinuing with:\n\n-1509 # 6316 = -1509 - 6316 = -7825\n\nThen:\n\n-7825 @ 8829 = -7825 + 8829 = 1004\n\nFollowed by:\n\n1004 @ 3793 = 1004 + 3793 = 4797\n\nFinally:\n\n4797 @ 3767 = 4797 + 3767 = 8564\n\nTherefore, the answer is 8564."
}
]
| 0.937255 |
open_orca | open_orca_niv.92188 | [
{
"role": "system",
"content": ""
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nQ: 9921 - 7307 + 2744 + 5373 - 4720\nA:"
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 9921 - 7307 + 2744 + 5373 - 4720\n\nAs per the instructions, we need to perform addition when we see a '-' symbol and subtraction in case of '+' symbol.\n\nSo, we can rewrite the given operation as:\n\n9921 + (-7307) - 2744 - (-5373) - (-4720)\n\nSimplifying the above expression, we get:\n\n= 9921 - 7307 - 2744 + 5373 + 4720\n\n= 261\n\nTherefore, the answer to the given arithmetic operation is 261."
}
]
| 0.937243 |
open_orca | open_orca_niv.350823 | [
{
"role": "system",
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer."
},
{
"role": "user",
"content": "Teacher:In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nTeacher: Now, understand the problem? Solve this instance: 8109 + 8997 - 3310 - 8023 + 2548 + 9625 - 7170\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. Given that the symbols of operators '+' and '-' have been swapped, we need to perform the appropriate operation based on this information. So, the original expression is:\n\n8109 + 8997 - 3310 - 8023 + 2548 + 9625 - 7170\n\nWith the swapped operators, the expression becomes:\n\n8109 - 8997 + 3310 + 8023 - 2548 - 9625 + 7170\n\nNow, proceed to solve for the expression:\n\n1. First, perform the subtractions:\n8109 - 8997 = -888\n-2548 - 9625 = -12173\n\n2. Then, perform the additions with the original numbers:\n-888 + 3310 + 8023 + 7170 = 18615\n\n3. Finally, add the previously obtained negative numbers:\n18615 - 12173 = 6442\n\nSo, the solution to the modified arithmetic expression is:\n\nStudent: 6442"
}
]
| 0.937231 |
open_orca | open_orca_flan.1619551 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve 6*p - 45*p = -7*p + 480 for p."
},
{
"role": "assistant",
"content": "To solve the given equation 6*p - 45*p = -7*p + 480 for p, we need to simplify the equation by combining like terms and then isolate the variable p on one side of the equation.\n\nFirst, we can simplify the equation by combining the like terms on both sides of the equation. \n\n6*p - 45*p = -7*p + 480 \n\n(6 - 45 - (-7)) * p = 480 \n\n(-39) * p = 480 \n\nNow, we can isolate the variable p by dividing both sides of the equation by -39. \n\n(-39) * p / (-39) = 480 / (-39) \n\np = -12.3077 (rounded to four decimal places) \n\nTherefore, the solution to the given equation is p = -12.3077."
}
]
| 0.937226 |
wizardlm | wizardlm_alpaca_51706 | [
{
"role": "user",
"content": "(4 + 5) * 6 - 7 / 8="
},
{
"role": "assistant",
"content": "The answer to this expression is 54.875. \nHere's how to solve it: \n1. First, we need to perform the operations inside the parentheses: \n (4 + 5) = 9 \n2. Next, we multiply 9 by 6: \n 9 * 6 = 54 \n3. Then, we need to perform the division: \n 7 / 8 = 0.875 \n4. Finally, we subtract 0.875 from 54: \n 54 - 0.875 = 54.875 \nTherefore, the answer to the expression (4 + 5) * 6 - 7 / 8 is 54.875."
}
]
| 0.937217 |
open_orca | open_orca_niv.218098 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you are given a list of integers and you need to find the absolute value of the difference between each two consecutive values. The output should be a list of the absolute value of the differences of each two consecutive values.\nProblem:[-59, -26, 35, -57, -87, 98, -9, 86, 78]\nSolution:"
},
{
"role": "assistant",
"content": "To find the absolute value of the difference between each two consecutive values in the given list, we simply subtract the second value from the first value in each consecutive pair and calculate the absolute value of the result. We will then add these values to a new list.\n\nGiven list: [-59, -26, 35, -57, -87, 98, -9, 86, 78]\n\n1. |(-26 - (-59))| = |(-26 + 59)| = |33 |\n2. |(35 - (-26))| = |(35 + 26)| = |61 |\n3. |(-57 - 35)| = |-57 - 35| = |-92|\n4. |(-87 - (-57))| = |(-87 + 57)| = |(-30)|\n5. |(98 - (-87))| = |(98 + 87)| = |185|\n6. |(-9 - 98)| = |-9 - 98| = |-107|\n7. |(86 - (-9))| = |(86 + 9)| = |95 |\n8. |(78 - 86)| = |78 - 86| = |-8 |\n\nNow we will calculate the absolute value of negative integers:\n\n3. |-92| = 92\n4. |-30| = 30\n6. |-107| = 107\n8. |-8| = 8\n\nSo, the solution is:\n\n[33, 61, 92, 30, 185, 107, 95, 8]"
}
]
| 0.937216 |
open_orca | open_orca_flan.1387013 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve 217 + 221 = -30*o + 48 for o.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve the equation -30*o + 48 = 217 + 221 for o, follow these steps:\n\nStep 1: Combine the numbers on the right side of the equation.\n217 + 221 = 438\n\nNow the equation becomes:\n-30*o + 48 = 438\n\nStep 2: Isolate the o term by subtracting 48 from both sides of the equation.\n-30*o + 48 - 48 = 438 - 48\n-30*o = 390\n\nStep 3: Solve for o by dividing both sides of the equation by -30.\n(-30*o) / -30 = 390 / -30\no = -13\n\nSo, o = -13."
}
]
| 0.937212 |
open_orca | open_orca_niv.292303 | [
{
"role": "system",
"content": "You are an AI assistant, who knows every language and how to translate one language to another. Given a task, you explain in simple steps what the task is asking, any guidelines that it provides. You solve the task and show how you used the guidelines to solve the task."
},
{
"role": "user",
"content": "Teacher:In this task you will be given a list of integers. For every element in the list, if the element is even you should divide by 4, if the element is odd you should multiply by 4 then add 2. The output should be a list of numbers that is the result of applying that logic to the input list. You should not round any decimals in the output. Zero should be counted as an even integer.\nTeacher: Now, understand the problem? Solve this instance: [-59, -59, -55, 96, -40, -38, -6, -34, -12]\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. Here are the steps:\n\n1. Iterate through each element in the input list.\n2. For each element, check if it is even or odd.\n a. If the element is even (including 0), divide it by 4.\n b. If the element is odd, multiply it by 4 and add 2.\n3. Store the result of the calculation (without rounding decimals) in a new list.\n4. The final output list should contain the results of applying this logic to each element of the input list.\n\nLet's solve the given instance: [-59, -59, -55, 96, -40, -38, -6, -34, -12]\n\n1. Iterate through each element:\n a. -59 is odd: (-59 * 4) + 2 = -234\n b. -59 is odd: (-59 * 4) + 2 = -234\n c. -55 is odd: (-55 * 4) + 2 = -218\n d. 96 is even: 96 / 4 = 24\n e. -40 is even: -40 / 4 = -10\n f. -38 is even: -38 / 4 = -9.5\n g. -6 is even: -6 / 4 = -1.5\n h. -34 is even: -34 / 4 = -8.5\n i. -12 is even: -12 / 4 = -3\n\n2. Store the results in a new output list: [-234, -234, -218, 24, -10, -9.5, -1.5, -8.5, -3]\n\nFinal output: [-234, -234, -218, 24, -10, -9.5, -1.5, -8.5, -3]"
}
]
| 0.937209 |
open_orca | open_orca_niv.339091 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"role": "user",
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\n\n2196 @ 3299 # 5407 # 4488 @ 9513 # 6924\nOutput:"
},
{
"role": "assistant",
"content": "To solve this equation, we need to replace the symbols '@' and '#' with their respective arithmetic operators '+' and '-'. Then we can perform the operations in the equation to get the answer.\n\n2196 @ 3299 # 5407 # 4488 @ 9513 # 6924\n\nBecomes:\n\n2196 + 3299 - 5407 - 4488 + 9513 - 6924\n\nNow we can simplify the equation by performing the operations in order from left to right:\n\n= 2196 + 3299 = 5495\n= 5495 - 5407 = 88\n= 88 - 4488 = -4400\n= -4400 + 9513 = 5113\n= 5113 - 6924 = -1811\n\nTherefore, the answer to the equation is -1811."
}
]
| 0.937202 |
open_orca | open_orca_flan.981697 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution?\n\nSolve -66*a = -401 - 433 - 1278 for a."
},
{
"role": "assistant",
"content": "To solve the equation -66*a = -401 - 433 - 1278 for a, follow these steps:\n\nStep 1: Combine the constants on the right-hand side of the equation.\n-401 - 433 - 1278\n= (-401 - 433) - 1278\n= -834 - 1278\n= -2112\n\nNow the equation looks like this:\n-66*a = -2112\n\nStep 2: Now, isolate the variable \"a\" by dividing both sides of the equation by -66.\na = -2112 / -66\n\nStep 3: Perform the division.\na ≈ 32\n\nSo the solution is a ≈ 32."
}
]
| 0.937137 |
open_orca | open_orca_niv.258258 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Given the task definition and input, reply with output. In this task you will be given a list of integers. For every element in the list, if the element is positive you should multiply it by 2. If the element is negative you should multiply it by -3. The output should be a list of integers that is the result of applying that logic to the input list.\n Note: A list is presented with comma separated numbers inside two brackets.\n\n[51, -3, -76, 25, -60, -14, 43]\n"
},
{
"role": "assistant",
"content": "Using the definition given, for every positive element in the list, we should multiply it by 2, and for every negative element, we should multiply it by -3. So we will perform these operations for each element and create a new list.\n\nFor the given input list [51, -3, -76, 25, -60, -14, 43], the output list will be as follows:\n\n- 51 (positive) -> 51 * 2 = 102\n- -3 (negative) -> -3 * -3 = 9\n- -76 (negative) -> -76 * -3 = 228\n- 25 (positive) -> 25 * 2 = 50\n- -60 (negative) -> -60 * -3 = 180\n- -14 (negative) -> -14 * -3 = 42\n- 43 (positive) -> 43 * 2 = 86\n\nSo, the resulting output list is [102, 9, 228, 50, 180, 42, 86]."
}
]
| 0.937134 |
open_orca | open_orca_flan.342752 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Math problem: Solve -363*x - 476*x - 25086 = -161*x for x.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "First, we can simplify the left side of the equation by combining the like terms: \n\n-363*x - 476*x - 25086 = (-363 - 476 - 161)*x - 25086\n= -1000*x - 25086\n\nNow we can rewrite the original equation as: \n\n-1000*x - 25086 = -161*x\n\nNext, we want to isolate the variable x on one side of the equation. We can do this by adding 161*x to both sides: \n\n-1000*x - 25086 + 161*x = 0\n\nSimplifying the left side of the equation: \n\n-839*x - 25086 = 0\n\nAdding 25086 to both sides: \n\n-839*x = 25086\n\nFinally, we can solve for x by dividing both sides by -839: \n\nx = -25086 / -839\n\nx = 29.86 (rounded to two decimal places)\n\nTherefore, the solution to the equation is x = 29.86."
}
]
| 0.93709 |
open_orca | open_orca_flan.585527 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve -751*p = -95*p + 242*p - 6625 - 4151 for p."
},
{
"role": "assistant",
"content": "To solve this equation, we will follow these steps:\n\n1. Combine the terms with p on the right-hand side of the equation.\n2. Add or subtract the terms without p on the right-hand side of the equation.\n3. Isolate p by dividing both sides of the equation by the coefficient of p.\n\nLet's perform these steps:\n\n1. Combine the terms with p on the right-hand side of the equation:\n -95*p + 242*p = 147*p (because -95 + 242 = 147)\n\nThe equation becomes:\n\n -751*p = 147*p - 6625 - 4151\n\n2. Add or subtract the terms without p on the right-hand side of the equation:\n -6625 - 4151 = -10776 (because -6625 + (-4151) = -10776)\n\nThe equation becomes:\n\n -751*p = 147*p - 10776\n\n3. To isolate p, we will first move the 147*p term to the left side by subtracting 147*p from both sides:\n\n -751*p - 147*p = -10776\n -898*p = -10776 (because -751 - 147 = -898)\n\nNow, divide both sides of the equation by the coefficient of p which is -898:\n\n p = -10776 / -898\n\nDivide both sides to find the value of p:\n\n p ≈ 12\n\nSo, the solution to the given equation is p ≈ 12."
}
]
| 0.937063 |
open_orca | open_orca_niv.7308 | [
{
"role": "system",
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\nQ: 9118 + 5545 - 3160 + 3672 - 3568 + 5997 + 205 + 7095\nA:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to follow the given instructions which state that we have to perform subtraction when we see a '+' symbol and addition in case of '-' symbol. \n\nSo, let's rewrite the given operation by swapping the symbols of '+' and '-' as follows:\n\n9118 - 5545 + 3160 - 3672 + 3568 - 5997 - 205 - 7095\n\nNow, we can simply perform the arithmetic operations from left to right:\n\n= 3573 + 3160 - 3672 + 3568 - 5997 - 205 - 7095\n= -2668\n\nTherefore, the answer to the given arithmetic operation is -2668."
}
]
| 0.937055 |
open_orca | open_orca_niv.183334 | [
{
"role": "system",
"content": "You are an AI assistant. Provide a detailed answer so user don’t need to search outside to understand the answer."
},
{
"role": "user",
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task you are given a list of numbers and you need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) /2. The output should be a list of the averages of each two consecutive values. A list is presented with two brackets and comma-separated values, like: [1,2,3].\n\n[-56, -97, -2, -80, 19, -21]\nOutput:"
},
{
"role": "assistant",
"content": "To find the average of each two consecutive values in the given list [-56, -97, -2, -80, 19, -21], we need to perform the average calculation for each pair of consecutive numbers in the list. The average of two numbers a and b is calculated as: (a + b) / 2.\n\n1. The average of -56 and -97: (-56 + -97) / 2 = -153 / 2 = -76.5\n2. The average of -97 and -2: (-97 + -2) / 2 = -99 / 2 = -49.5\n3. The average of -2 and -80: (-2 + -80) / 2 = -82 / 2 = -41\n4. The average of -80 and 19: (-80 + 19) / 2 = -61 / 2 = -30.5\n5. The average of 19 and -21: (19 + -21) / 2 = -2 / 2 = -1\n\nOutput: [-76.5, -49.5, -41, -30.5, -1]"
}
]
| 0.93704 |
open_orca | open_orca_flan.1481130 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution?\n\nSolve 652 = -245*m + 509 - 1572 for m."
},
{
"role": "assistant",
"content": "To solve the equation 652 = -245*m + 509 - 1572 for m, follow these steps:\n\nStep 1: Combine like terms on the right side of the equation.\nThe equation is: 652 = -245*m + (509 - 1572)\n\nStep 2: Subtract 509 from both sides of the equation and simplify.\n652 - 509 = -245*m + (509 - 1572)\n143 = -245*m - 1063\n\nStep 3: Add 1063 to both sides of the equation and simplify.\n143 + 1063 = -245*m\n1206 = -245*m\n\nStep 4: Divide both sides of the equation by -245 to isolate m.\n1206 / -245 = (-245*m) / -245\nm ≈ -4.93\n\nThe solution is m ≈ -4.93."
}
]
| 0.937019 |
wizardlm | wizardlm_alpaca_51716 | [
{
"role": "user",
"content": "7.5 / 2.5 + 4.2 * 1.8 - 3.6 ^ 2.1="
},
{
"role": "assistant",
"content": "Using the order of operations (PEMDAS), we can solve this equation step by step:\n1. First, we need to calculate the exponent: 3.6 ^ 2.1 = 12.947\n2. Next, we can perform the multiplication: 4.2 * 1.8 = 7.56\n3. Then, we can perform the division: 7.5 / 2.5 = 3\n4. Finally, we can add and subtract: 3 + 7.56 - 12.947 = -2.387\nTherefore, the solution to the equation 7.5 / 2.5 + 4.2 * 1.8 - 3.6 ^ 2.1 is -2.387."
}
]
| 0.937006 |
open_orca | open_orca_niv.366269 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Q: In this task you will be given an arithmetic operation and you have to find its answer. The symbols of operators '+' and '-' has been swapped i.e you need to perform subtraction when you see a '+' symbol and addition in case of '-' symbol.\n4688 - 4301 - 9301 - 7246 - 6377 + 8027 + 425 + 3557\nA:"
},
{
"role": "assistant",
"content": "Sure, I can help you with that. \n\nFirst, let's swap the symbols of '+' and '-' as per the given instructions. The expression now becomes:\n\n4688 + 4301 + 9301 + 7246 + 6377 - 8027 - 425 - 3557\n\nNow, we can perform the arithmetic operations in the given order, following the standard rules of addition and subtraction:\n\n= 27786 - 12009 - 8454\n= 7313 - 8454\n= -1141\n\nTherefore, the answer to the given arithmetic operation is -1141."
}
]
| 0.936972 |
open_orca | open_orca_flan.634151 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve -157 = -5*p - 147 for p.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve the equation -157 = -5*p - 147 for p, follow these step-by-step instructions:\n\n1. Start with the given equation: -157 = -5*p - 147\n2. Add 147 to both sides of the equation to isolate the term with the variable p:\n\n -157 + 147 = -5*p - 147 + 147\n -10 = -5*p\n\n3. Now, we need to isolate p by dividing both sides of the equation by -5:\n\n -10 / (-5) = (-5*p) / (-5)\n 2 = p\n\nSo, the answer is p = 2."
}
]
| 0.936959 |
open_orca | open_orca_flan.2441529 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve 4090*s = -3503*s + 2835*s - 104676 for s."
},
{
"role": "assistant",
"content": "To solve the given linear equation, we first need to simplify and then isolate the variable s.\n\nHere's the given equation:\n4090 * s = -3503 * s + 2835 * s - 104676\n\nStep 1: Combine the s terms on the right side:\n4090 * s = (-3503 + 2835) * s - 104676\n\nCalculating the sum:\n4090 * s = (-668) * s - 104676\n\nStep 2: Add 668 * s to both sides to consolidate all s terms on the left side:\n4090 * s + 668 * s = -104676\n\nCalculating the sum:\n4758 * s = -104676\n\nStep 3: Isolate s by dividing both sides by 4758:\ns = -104676 / 4758\n\nCalculating the quotient:\ns = -22\n\nSo, the solution to the given equation is s = -22."
}
]
| 0.936929 |
open_orca | open_orca_flan.1366931 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Math problem: Solve -9945*x = -2557*x - 764313 - 22582 + 11155 for x.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "To solve this problem, we want to isolate x on one side of the equation. We can follow these steps:\n\n1. Simplify both sides of the equation, if needed.\n2. Move all terms with x to one side of the equation.\n3. Factor out x, if necessary.\n4. Divide by the coefficient of x to find the value of x.\n\nHere is the given equation:\n\n-9945*x = -2557*x - 764313 - 22582 + 11155\n\nStep 1: Simplify both sides of the equation, if needed.\nIn this case, we see the numbers on the right side can be simplified:\n\n-9945*x = -2557*x - 764313 - 22582 + 11155\n\n-9945*x = -2557*x - (764313 + 22582 - 11155)\n\n-9945*x = -2557*x - (776740 - 11155)\n\n-9945*x = -2557*x - 765585\n\nStep 2: Move all terms with x to one side of the equation.\nAdd 2557*x to both sides:\n\n-9945*x + 2557*x = -765585\n\nStep 3: Factor out x, if necessary.\n-7388*x = -765585\n\nStep 4: Divide by the coefficient of x to find the value of x.\nx = -765585 / -7388\nx ≈ 103.64\n\nSo the solution to the equation is x ≈ 103.64."
}
]
| 0.936915 |
open_orca | open_orca_flan.1403558 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve -39320 - 49563 - 223883 = -4361*g - 29301 for g."
},
{
"role": "assistant",
"content": "To solve the given math problem, we'll first simplify the left side (LHS) of the equation and then isolate the variable g on the right side (RHS).\n\nThe equation is:\n\n-39320 - 49563 - 223883 = -4361 * g - 29301 \n\nStep 1: Simplify the LHS of the equation.\n\n-39320 - 49563 - 223883 = -313766 \n\nSo, the equation becomes:\n\n-313766 = -4361 * g - 29301 \n\nStep 2: Add 29301 on both sides of the equation.\n\n-313766 + 29301 = -4361 * g - 29301 + 29201 \n\n-284465 = -4361 * g \n\nStep 3: To isolate the variable g, divide both sides of the equation by -4361.\n\n-284465 / -4361 = (-4361 * g) / -4361 \n\ng = 65.2229 (approximately) \n\nTherefore, the value of g is approximately 65.2229."
}
]
| 0.936902 |
open_orca | open_orca_niv.338059 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you will be given a list of integers. For every element in the list, if the element is positive you should multiply it by 2. If the element is negative you should multiply it by -3. The output should be a list of integers that is the result of applying that logic to the input list.\n Note: A list is presented with comma separated numbers inside two brackets.\nQ: [-58, 93, -35, 35, -11, -68, 76, 60, 18, -47]\nA:"
},
{
"role": "assistant",
"content": "The task is asking you to modify a given list of integers based on whether each integer is positive or negative. Here's a breakdown of the instructions:\n\n1. You have a list of integers (numbers without decimal points) provided to you within two brackets and separated by commas. For example: [-58, 93, -35, 35, -11, -68, 76, 60, 18, -47]\n\n2. You need to check each element (number) in the list one by one.\n\n3. If the element is positive (greater than zero), multiply it by 2. \n\n4. If the element is negative (less than zero), multiply it by -3.\n\n5. After modifying each element, put it in the same position in a new list.\n\n6. Once you have gone through all the elements, the final output should be a new list with the modified integers.\n\nUsing the given list, let's go step by step:\n\nQ: [-58, 93, -35, 35, -11, -68, 76, 60, 18, -47]\n\n1. First element is -58 (negative). Multiply by -3: -58 * -3 = 174\n2. Second element is 93 (positive). Multiply by 2: 93 * 2 = 186\n3. Third element is -35 (negative). Multiply by -3: -35 * -3 = 105\n4. Fourth element is 35 (positive). Multiply by 2: 35 * 2 = 70\n5. Fifth element is -11 (negative). Multiply by -3: -11 * -3 = 33\n6. Sixth element is -68 (negative). Multiply by -3: -68 * -3 = 204\n7. Seventh element is 76 (positive). Multiply by 2: 76 * 2 = 152\n8. Eighth element is 60 (positive). Multiply by 2: 60 * 2 = 120\n9. Ninth element is 18 (positive). Multiply by 2: 18 * 2 = 36\n10. Tenth element is -47 (negative). Multiply by -3: -47 * -3 = 141\n\nAfter evaluating all the elements, the new list is:\nA: [174, 186, 105, 70, 33, 204, 152, 120, 36, 141]"
}
]
| 0.936882 |
open_orca | open_orca_niv.313440 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Definition: In this task you will be given a list of lists, of numbers. For every inner list, you should multiply every number in that list and put the results in your answer. The output should be a list of numbers with the same length as the number of the lists in the input list.\nInput: [[3, -6, -14, 6, 1], [-18, 8, 50, -12, 42], [6, 1, -17], [44, 0, 42, -21, -39], [-37, 17], [-14, 24, -18], [34, 6], [-9, -5]]\nOutput:"
},
{
"role": "assistant",
"content": "To come up with the output, I followed the given definition and multiplied every number in each inner list. \n\nFor the first inner list [3, -6, -14, 6, 1], the product is: 3 x (-6) x (-14) x 6 x 1 = 2268\nFor the second inner list [-18, 8, 50, -12, 42], the product is: (-18) x 8 x 50 x (-12) x 42 = 5443200\nFor the third inner list [6, 1, -17], the product is: 6 x 1 x (-17) = -102\nFor the fourth inner list [44, 0, 42, -21, -39], the product is: 44 x 0 x 42 x (-21) x (-39) = 0\nFor the fifth inner list [-37, 17], the product is: (-37) x 17 = -629\nFor the sixth inner list [-14, 24, -18], the product is: (-14) x 24 x (-18) = 6048\nFor the seventh inner list [34, 6], the product is: 34 x 6 = 204\nFor the eighth inner list [-9, -5], the product is: (-9) x (-5) = 45\n\nTherefore, the output list is [2268, 5443200, -102, 0, -629, 6048, 204, 45]."
}
]
| 0.93688 |
open_orca | open_orca_niv.158763 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\n\n9892 # 8524 # 9784 @ 9959 # 3991 @ 1280 # 7952 @ 7296\nOutput:"
},
{
"role": "assistant",
"content": "Hello! In this task, you are given an arithmetic operation with some symbols replaced by new symbols. You need to replace the new symbols with their original operators and perform the operations in the given equation to find the answer.\n\nHere are the guidelines to solve this task:\n1. Replace the symbol '#' with the operator '-' and the symbol '@' with the operator '+'.\n2. Perform the operations in the given equation from left to right using the order of operations (parentheses, exponents, multiplication/division, addition/subtraction).\n3. Return the final answer.\n\nLet's apply these guidelines to the given input:\n9892 # 8524 # 9784 @ 9959 # 3991 @ 1280 # 7952 @ 7296\n\nStep 1: Replace '#' with '-' and '@' with '+'\n9892 - 8524 - 9784 + 9959 - 3991 + 1280 + 7952 + 7296\n\nStep 2: Perform the operations using the order of operations\n9892 - 8524 = 1368\n1368 - 9784 = -8416\n-8416 + 9959 = 1543\n1543 - 3991 = -2448\n-2448 + 1280 = -1168\n-1168 + 7952 = 6784\n6784 + 7296 = 14080\n\nStep 3: Return the final answer\nThe answer is 14080.\n\nI hope this explanation helps you to solve the task."
}
]
| 0.936871 |
open_orca | open_orca_flan.1907613 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve -2385 + 28 + 369 = 285*n + 709*n for n.. What is the answer??"
},
{
"role": "assistant",
"content": "Okay, let's solve the given equation step by step.\n\nStep 1: Combine the numbers\n-2385 + 28 + 369 = -2385 + 28 + 369\n\nStep 2: Calculate the sum of the numbers\n-2385 + 28 + 369 = -1988\n\nSo, the equation now is:\n-1988 = 285*n + 709*n\n\nStep 3: Combine like terms on the right side of the equation\n285*n + 709*n = (285 + 709) * n\n\nStep 4: Calculate the sum of the coefficients on the right side\n285 + 709 = 994\n\nNow, we have the equation:\n-1988 = 994*n\n\nStep 5: Isolate n by dividing both sides of the equation by 994\nn = -1988 / 994\n\nStep 6: Calculate the value of n\nn ≈ -2\n\nSo, the answer is n ≈ -2."
}
]
| 0.936854 |
open_orca | open_orca_flan.377132 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve 4703*d + 284*d = -2991*d - 1464*d + 236050 for d."
},
{
"role": "assistant",
"content": "To solve the given math problem, I will follow these steps:\n\nStep 1: Combine all the \"d\" terms on both sides of the equation.\n\nGiven equation: 4703*d + 284*d = -2991*d - 1464*d + 236050\n\nStep 2: Combine like terms on both sides of the equation.\n\n(4703 + 284) * d = (-2991 - 1464) * d + 236050\n4987 * d = -4455 * d + 236050\n\nStep 3: Move all d terms to one side of the equation (left side) by adding 4455*d to both sides.\n\n4987 * d + 4455 * d = 236050\n(4987 + 4455) * d = 236050\n9442 * d = 236050\n\nStep 4: Solve for \"d\" by dividing both sides of the equation by 9442.\n\nd = 236050 / 9442\n\nStep 5: Calculate the value of d.\n\nd ≈ 24.98\n\nSo, the value of d is approximately 24.98."
}
]
| 0.936836 |
open_orca | open_orca_niv.329728 | [
{
"role": "system",
"content": "You are a teacher. Given a task, you explain in simple steps what the task is asking, any guidelines it provides and how to use those guidelines to find the answer."
},
{
"role": "user",
"content": "Q: In this task you will be given an arithmetic operation and you have to find its answer. The operators '+' and '-' have been replaced with new symbols. Specifically, '+' has been replaced with the symbol '@' and '-' with the symbol '#'. You need to perform the operations in the given equation return the answer\n7908 # 5904 # 9611 @ 5225 # 8397 @ 3435 @ 6374\nA:"
},
{
"role": "assistant",
"content": "Hello! In this task, you are given an arithmetic operation that involves the symbols '@' and '#'. You need to replace '@' with the addition operator '+' and '#' with the subtraction operator '-'. Then, you need to perform the operations in the given equation and return the answer.\n\nLet's break down the equation step by step:\n\n- First, replace '#' with '-' and '@' with '+': 7908 - 5904 - 9611 + 5225 - 8397 + 3435 + 6374\n- Next, perform the operations from left to right: \n - 7908 - 5904 = 2004\n - 2004 - 9611 = -7607\n - -7607 + 5225 = -2382\n - -2382 - 8397 = -10779\n - -10779 + 3435 = -7344\n - -7344 + 6374 = -970\n\nTherefore, the answer to the equation is -970."
}
]
| 0.936822 |
open_orca | open_orca_niv.272979 | [
{
"role": "system",
"content": "User will you give you a task with some instruction. Your job is follow the instructions as faithfully as you can. While answering think step-by-step and justify your answer."
},
{
"role": "user",
"content": "Detailed Instructions: In this task you are given a list of integers and you need to find the absolute value of the difference between each two consecutive values. The output should be a list of the absolute value of the differences of each two consecutive values.\nProblem:[35, 34, -53, 47, -93, -90, -49, 29, 20, -16]\nSolution:"
},
{
"role": "assistant",
"content": "First, let's write down the instructions step by step:\n\n1. Given a list of integers - [35, 34, -53, 47, -93, -90, -49, 29, 20, -16].\n2. Calculate the absolute differences between each two consecutive values.\n3. The output should be a list of these absolute differences.\n\nNow, let's perform these steps and solve the problem:\n\n1. First, our list of integers is given: [35, 34, -53, 47, -93, -90, -49, 29, 20, -16].\n\n2. Calculate the absolute differences between each pair of consecutive integers:\n\n - abs(35 - 34) --> abs(1) --> 1\n - abs(34 - (-53)) --> abs(87) --> 87\n - abs(-53 - 47) --> abs(-100) --> 100\n - abs(47 - (-93)) --> abs(140) --> 140\n - abs(-93 - (-90)) --> abs(-3) --> 3\n - abs(-90 - (-49)) --> abs(41) --> 41\n - abs(-49 - 29) --> abs(-78) --> 78\n - abs(29 - 20) --> abs(9) --> 9\n - abs(20 - (-16)) --> abs(36) --> 36\n\n3. The output list of absolute differences is: [1, 87, 100, 140, 3, 41, 78, 9, 36].\n\nSo, the solution is [1, 87, 100, 140, 3, 41, 78, 9, 36]."
}
]
| 0.936808 |
open_orca | open_orca_niv.307373 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Given the task definition and input, reply with output. In this task you are given a list of numbers and you need to find the average of each two consecutive values. The average of two numbers a and b is calculated as: (a + b) /2. The output should be a list of the averages of each two consecutive values. A list is presented with two brackets and comma-separated values, like: [1,2,3].\n\n[44, -91, -94, -44, 58, -94, 0, 91, -22, -64, 19]\n"
},
{
"role": "assistant",
"content": "First, I identified the input list of numbers: [44, -91, -94, -44, 58, -94, 0, 91, -22, -64, 19].\n\nNext, I observed that I need to find the average of each pair of consecutive numbers in the list. To do so, I go through the list and use the average formula provided: (a + b) / 2.\n\nStarting with the first pair of numbers (44, -91), the average is (44 + -91) / 2 = -47 / 2 = -23.5.\n\nContinuing this process for each pair of consecutive numbers in the list, I get:\n\n(-91, -94): (-91 + -94) / 2 = -185 / 2 = -92.5\n(-94, -44): (-94 + -44) / 2 = -138 / 2 = -69\n(-44, 58): (-44 + 58) / 2 = 14 / 2 = 7\n(58, -94): (58 + -94) / 2 = -36 / 2 = -18\n(-94, 0): (-94 + 0) / 2 = -94 / 2 = -47\n(0, 91): (0 + 91) / 2 = 91 / 2 = 45.5\n(91, -22): (91 + -22) / 2 = 69 / 2 = 34.5\n(-22, -64): (-22 + -64) / 2 = -86 / 2 = -43\n(-64, 19): (-64 + 19) / 2 = -45 / 2 = -22.5\n\nFinally, I gather all the computed average values in a list as the output:\n\n[-23.5, -92.5, -69, 7, -18, -47, 45.5, 34.5, -43, -22.5]"
}
]
| 0.936802 |
open_orca | open_orca_flan.135865 | [
{
"role": "system",
"content": "You are a helpful assistant, who always provide explanation. Think like you are answering to a five year old."
},
{
"role": "user",
"content": "What is the solution to this math problem?\nSolve 56*o + 49*o + 589 + 395 = -801 for o."
},
{
"role": "assistant",
"content": "Alright, let's solve this equation step by step, but first, let me rewrite it so it's easier to understand:\n\n56 * o + 49 * o + 589 + 395 = -801\n\nNow, to make it simple, let's solve this equation in a few steps.\n\nStep 1: Combine the terms with \"o\" in them.\n(56 * o) + (49 * o) = (56 + 49) * o = 105 * o\n\nNow our equation looks like:\n105 * o + 589 + 395 = -801\n\nStep 2: Combine the numbers without \"o\".\n589 + 395 = 984\n\nNow our equation looks like:\n105 * o + 984 = -801\n\nStep 3: Move the 984 to the other side of the equation by subtracting it from both sides.\n105 * o = -801 - 984\n105 * o = -1785\n\nStep 4: Finally, we'll find the value of \"o\" by dividing both sides by 105.\no = -1785 / 105\no = -17\n\nSo, the answer is o = -17."
}
]
| 0.936794 |
open_orca | open_orca_flan.1723603 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "Solve this math problem\n\nSolve 0 = 8532*o - 8557*o - 400 for o."
},
{
"role": "assistant",
"content": "To solve for o, follow these steps:\n\n1. Start with the given equation: 0 = 8532*o - 8557*o - 400\n\n2. Combine the o terms: (8532-8557)*o = 8557*o - 8532*o = -25*o. So, the equation becomes: 0 = -25*o - 400\n\n3. To isolate o, add 400 to both sides of the equation: 400 = -25*o\n\n4. Divide both sides by -25: o = 400 / -25\n\n5. Simplify: o = -16\n\nThe solution for o is -16."
}
]
| 0.936778 |
open_orca | open_orca_flan.1920816 | [
{
"role": "system",
"content": "You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps."
},
{
"role": "user",
"content": "What is the solution?\n\nSolve -30*i + 26*i - 16 = 0 for i."
},
{
"role": "assistant",
"content": "To solve the equation -30*i + 26*i - 16 = 0 for i, follow these steps:\n\nStep 1: Combine like terms.\n We have two terms involving 'i', -30*i and 26*i.\n Add these terms together: (-30*i) + (26*i) = -4*i.\n Now, our equation becomes -4*i - 16 = 0.\n\nStep 2: Isolate 'i' in the equation.\n To do this, add 16 both sides of the equation.\n -4*i - 16 + 16 = 0 + 16\n -4*i = 16\n\nStep 3: Solve for 'i'.\n To find the value of 'i', divide both sides of the equation by -4.\n (-4*i) / (-4) = 16 / (-4)\n i = -4\n\nTherefore, the solution to the equation -30*i + 26*i - 16 = 0 is i = -4."
}
]
| 0.936765 |
open_orca | open_orca_cot.8142 | [
{
"role": "system",
"content": "You are an AI assistant that helps people find information."
},
{
"role": "user",
"content": "Question: If x is an even integer, which of the following is an even integer?\nOptions:\n(A) 3x-3\n(B) x+x^2\n(C) 5x-3\n(D) 2x+1\n(E) 9x-5 Random thoughts:"
},
{
"role": "assistant",
"content": "To find out which of the options results in an even integer, we can test them with an even value of x. Let x = 2 (an even integer).\n\n(A) 3x - 3 = 3(2) - 3 = 6 - 3 = 3 (odd)\n(B) x + x^2 = 2 + 2^2 = 2 + 4 = 6 (even)\n(C) 5x - 3 = 5(2) - 3 = 10 - 3 = 7 (odd)\n(D) 2x + 1 = 2(2) + 1 = 4 + 1 = 5 (odd)\n(E) 9x - 5 = 9(2) - 5 = 18 - 5 = 13 (odd)\n\nOnly option (B) x + x^2 results in an even integer when x is an even integer."
}
]
| 0.93676 |
open_orca | open_orca_flan.2020098 | [
{
"role": "system",
"content": "You are an AI assistant. You will be given a task. You must generate a detailed and long answer."
},
{
"role": "user",
"content": "Solve -90*m = -83*m for m.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve this equation for m, follow these steps:\n\nStep 1: Write down the given equation.\n-90 * m = -83 * m\n\nStep 2: Add 83 * m to both sides of the equation to isolate \"m\" terms on one side.\n-90 * m + 83 * m = -83 * m + 83 * m\n\nStep 3: Combine the \"m\" terms on the left side.\n(-90 + 83) * m = 0\n-7 * m = 0\n\nStep 4: Divide both sides of the equation by -7 to solve for m.\n(-7 * m) / -7 = 0 / -7\nm = 0\n\nSo, the solution is m = 0."
}
]
| 0.936723 |
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