Large-Scale Data Selection for Instruction Tuning
Collection
Datasets and models associated with the paper "Large-Scale Data Selection for Instruction Tuning" (https://arxiv.org/abs/2503.01807)
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39 items
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Updated
dataset
stringclasses 11
values | id
stringlengths 8
22
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listlengths 2
74
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float64 0.87
0.96
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open_orca | open_orca_niv.109898 | [
{
"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 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: 610 @ 4239 # 7688 # 1986 # 328 @ 9434 # 9876 # 423 # 2271\nA:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to follow the order of operations (PEMDAS) which stands for 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 the given equation, we can start by performing the operations from left to right.\n\nFirst, we need to replace the '@' symbol with '+', and the '#' symbol with '-'. So the given equation becomes:\n\n610 + 4239 - 7688 - 1986 - 328 + 9434 - 9876 - 423 - 2271\n\nNext, we can simplify the equation by adding and subtracting the numbers in the order they appear:\n\n= (610 + 4239) - 7688 - 1986 - 328 + 9434 - 9876 - 423 - 2271\n= 4849 - 7688 - 1986 - 328 + 9434 - 9876 - 423 - 2271\n= - 2399 - 328 + 9434 - 9876 - 423 - 2271\n= - 2403\n\nTherefore, the answer to the given arithmetic operation is -2403."
}
] | 0.956624 |
open_orca | open_orca_niv.77093 | [
{
"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": "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:3935 - 7500 - 205 - 7262 - 5754 + 116 - 8451 - 9591\nSolution:"
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 3935 - 7500 + 205 + 7262 + 5754 - 116 + 8451 + 9591\n\nAs per the guidelines, we need to perform addition when we see a '-' symbol and subtraction when we see a '+' symbol.\n\nSo, we can rewrite the given operation as: 3935 + (-7500) - 205 + (-7262) + (-5754) + 116 + (-8451) + (-9591)\n\nNow, we can simply add all the numbers together to get the answer:\n\n3935 + (-7500) - 205 + (-7262) + (-5754) + 116 + (-8451) + (-9591) = -30512\n\nTherefore, the answer to the given arithmetic operation is -30512."
}
] | 0.954863 |
open_orca | open_orca_niv.31593 | [
{
"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": "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:3529 + 2441 + 1274 - 3916 + 9691 + 1272 - 1286\nSolution:"
},
{
"role": "assistant",
"content": "In this task, we need to perform arithmetic operations based on the given instructions. The symbols for addition (+) and subtraction (-) have been swapped, so:\n\n1. When we see '+', we should perform subtraction.\n2. When we see '-', we should perform addition.\n\nProblem: 3529 + 2441 + 1274 - 3916 + 9691 + 1272 - 1286\n\nLet's follow the instructions step by step:\n\nStep 1: Replace '+' with '-' and '-' with '+'.\nProblem: 3529 - 2441 - 1274 + 3916 - 9691 - 1272 + 1286\n\nStep 2: Perform the arithmetic operations.\nSolution: (3529 - 2441 - 1274 + 3916) - (9691 - 1272 + 1286)\n = (1088 - 1274 + 3916) - (8419)\n = (3730) - (8419)\n = -4689\n\nThe solution to the problem is -4689, following the provided instructions."
}
] | 0.95058 |
open_orca | open_orca_niv.432155 | [
{
"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 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\nInput: 7907 # 9113 # 5109 # 5989 @ 540 # 7062 @ 2438\nOutput:"
},
{
"role": "assistant",
"content": "To solve the given equation, we will first replace the new symbols '@' and '#' with their original symbols '+' and '-' respectively.\n\nGiven equation: 7907 # 9113 # 5109 # 5989 @ 540 # 7062 @ 2438\n\nReplacing new symbols with original symbols:\n\n7907 - 9113 - 5109 - 5989 + 540 - 7062 + 2438\n\nNow, we will follow the order of operations and solve the equation:\n\nFirst, solve the additions and subtractions from left to right:\n\n= -1206 (7907 - 9113)\n= -6315 (-1206 - 5109)\n= -12304 (-6315 - 5989)\n= -11764 (-12304 + 540)\n= -18826 (-11764 - 7062)\n= -13388 (-18826 + 2438)\n\nSo, the output is -13388."
}
] | 0.950043 |
open_orca | open_orca_niv.245542 | [
{
"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": "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: 2341 + 8929 + 4308 - 4344 - 7942 + 4320\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. To solve this instance, I will follow the instructions given by the teacher and swap the symbols of '+' and '-' operators. \n\nSo, the given arithmetic operation becomes: 2341 - 8929 - 4308 + 4344 + 7942 - 4320\n\nNow, I will perform the addition and subtraction operations as per the swapped symbols:\n\n= (2341 - 8929) - 4308 + 4344 + 7942 - 4320\n= (-6588) - 4308 + 4344 + 7942 - 4320\n= -6588 - (4308 - 4344) + 7942 - 4320\n= -6588 + 36 + 7942 - 4320\n= -6588 + 358 + 7942\n= 1392\n\nTherefore, the answer to the given arithmetic operation with swapped symbols is 1392."
}
] | 0.949819 |
open_orca | open_orca_niv.121246 | [
{
"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 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.\nProblem:[47, -43, -92, 99, 11, 40, -24, -79, 57]\nSolution:"
},
{
"role": "assistant",
"content": "Alright, let's apply the given logic for each element in the list:\nInput list: [47, -43, -92, 99, 11, 40, -24, -79, 57]\n\n1. 47 (odd): (47 * 4) + 2 = 188 + 2 = 190\n2. -43 (odd): (-43 * 4) + 2 = -172 + 2 = -170\n3. -92 (even): -92 / 4 = -23\n4. 99 (odd): (99 * 4) + 2 = 396 + 2 = 398\n5. 11 (odd): (11 * 4) + 2 = 44 + 2 = 46\n6. 40 (even): 40 / 4 = 10\n7. -24 (even): -24 / 4 = -6\n8. -79 (odd): (-79 * 4) + 2 = -316 + 2 = -314\n9. 57 (odd): (57 * 4) + 2 = 228 + 2 = 230\n\nAfter applying the logic to the input list, we get the output list:\nSolution: [190, -170, -23, 398, 46, 10, -6, -314, 230]"
}
] | 0.949123 |
open_orca | open_orca_niv.435917 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.\n\nProblem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ?\nOptions: a. - 0.71, b. - 2.13, c. 1.07, d. 1.71, e. 2.71"
},
{
"role": "assistant",
"content": "To solve the problem, we need to use the order of operations (PEMDAS) and perform the multiplication first, then the subtraction, and finally the division. \n\nSo, we have:\n\n( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ( -1.14 - 3.12 ) / 2.0 = -4.26 / 2.0 = -2.13\n\nTherefore, the correct answer is b. -2.13."
}
] | 0.948238 |
open_orca | open_orca_niv.138677 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with 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: 1468 + 5308 + 4637 - 2791 - 8233 + 7765 + 1085\nA:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to swap the symbols of '+' and '-' as per the given instructions. So, the new expression becomes:\n\n1468 - 5308 - 4637 + 2791 + 8233 - 7765 - 1085\n\nNow, we can simplify this expression by adding and subtracting the numbers as follows:\n\n= (1468 - 5308 - 4637) + (2791 + 8233 - 7765 - 1085)\n= (-8477) + (9174)\n= 698\n\nTherefore, the answer to the given arithmetic operation is 698."
}
] | 0.948041 |
open_orca | open_orca_niv.92156 | [
{
"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": "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: 1420 - 1910 - 3500 + 9535 + 3807 - 5009 - 1271 - 3426\nA: "
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to follow the given rule of swapping the symbols of operators. So, we will perform addition when we see a '-' symbol and subtraction in case of '+' symbol. \n\n1420 - 1910 - 3500 + 9535 + 3807 - 5009 - 1271 - 3426 \n\n= 1420 + (-1910) + (-3500) - 9535 + 3807 + (-5009) + (-1271) + (-3426) \n\n= -14624 \n\nTherefore, the answer to the given arithmetic operation is -14624."
}
] | 0.948006 |
open_orca | open_orca_cot.131773 | [
{
"role": "system",
"content": "You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-bystep and justify your answer."
},
{
"role": "user",
"content": "Given the rationale, provide a reasonable question and answer. Step-by-step reasoning process: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)\n The question and answer:"
},
{
"role": "assistant",
"content": "Question: What is the value of (a2 - ab + b2) if a = 3 and b = 5?\n\nAnswer: \n\nStep 1: Given expression is (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)\n\nStep 2: We are given the values of a and b, which are a = 3 and b = 5.\n\nStep 3: We can substitute the values of a and b in the expression to get:\n\n(33 + 53) = (3 + 5) = 8 = 888(a2 - ab + b2)\n\nStep 4: Simplifying the expression, we get:\n\n8 = 888(a2 - 3 x 5 + 52)\n\n8 = 888(a2 - 15 + 25)\n\n8 = 888(a2 + 10)\n\nStep 5: We can solve for a2 by dividing both sides by 888:\n\na2 + 10 = 8/888\n\na2 + 10 = 0.009\n\na2 = 0.009 - 10\n\na2 = -9.991\n\nStep 6: Therefore, the value of (a2 - ab + b2) when a = 3 and b = 5 is:\n\na2 - ab + b2 = (-9.991) - (3 x 5) + 52\n\na2 - ab + b2 = (-9.991) - 15 + 25\n\na2 - ab + b2 = 0.009\n\nHence, the value of (a2 - ab + b2) when a = 3 and b = 5 is 0.009."
}
] | 0.947793 |
open_orca | open_orca_cot.56951 | [
{
"role": "system",
"content": "You are an AI assistant that helps people find information. User will you give you a question. Your task is to answer as faithfully as you can. While answering think step-bystep and justify your answer."
},
{
"role": "user",
"content": "If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\nOptions:\n(A) 0\n(B) 20\n(C) 50\n(D) 75\n(E) 100 OK. Let's think. Some random thoughts first:"
},
{
"role": "assistant",
"content": "Let's start by finding the general formulas for the sum of the first 'n' positive even integers and the sum of the first 'n' positive odd integers.\n\nFor even integers, we can notice a pattern:\n2, 4, 6, 8, ... (until 20th even integer)\n\nThe even number at position 'n' can be represented as 2n, where n is the position of the even integer. So, the sum of the first 20 even integers (X) can be represented as:\n\nX = 2(1) + 2(2) + 2(3) + ... + 2(20)\nX = 2 (1 + 2 + 3 + ... + 20)\n\nNow, let's move on to the odd integers. We can notice a similar pattern:\n1, 3, 5, 7, ... (until 20th odd integer)\n\nThe odd number at position 'n' can be represented as (2n-1), where n is the position of the odd integer. So, the sum of the first 20 odd integers (Y) can be represented as:\n\nY = (2(1)-1) + (2(2)-1) + (2(3)-1) + ... + (2(20)-1)\nY = 1 + 3 + 5 + ... + 39\n\nNow, we want to find the value of X - Y. To find this, we can rewrite Y as:\n\nY = (1 + 2(0)) + (1 + 2(1)) + (1 + 2(2)) + ... + (1 + 2(19))\nY = 1(20) + 2 (0 + 1 + 2 + ... + 19)\n\nThus, X - Y becomes:\n\nX - Y = [2 (1 + 2 + 3 + ... + 20)] - [1(20) + 2 (0 + 1 + 2 + ... + 19)]\n\nNotice that we can factor the sum of the first 20 natural numbers (1 + 2 + 3 + ... + 20) from both terms:\n\nX - Y = (2 - 1)(1 + 2 + 3 + ... + 20) - 20 + 2(0 + 1 + 2 + ... + 19)\n\nNow we can simplify:\n\nX - Y = (1)(1 + 2 + 3 + ... + 20) - 20 + 2(1 + 2 + 3 + ... + 19)\n\nTo find the sum of the first 20 natural numbers, we can use the formula:\n\nSum = (n * (n + 1)) / 2\nSum = (20 * (20 + 1)) / 2\nSum = (20 * 21) / 2\nSum = 210\n\nSo, we have:\n\nX - Y = (1)(210) - 20 + 2(190)\nX - Y = 210 - 20 + 380\nX - Y = 570\n\nHowever, this result is not among the given options. Let's think about it again. \n\nWe have X = 2(1 + 2 + 3 ... + 20) and Y = 1(20) + 2(0 + 1 + 2 ... + 19). First, simplify by taking out the constants.\n\nX = 2(1 + 2 + 3 + ... + 20),\nY = 20 + 2(1 + 2 + 3 + ... + 19).\n\nNow try to find X - Y.\nX - Y = 2(1 + 2 + 3 + ... + 20) - [20 + 2(1 + 2 + 3 + ... + 19)].\n\nFrom the above expression, you can recognize that we can factor out the expression for the sum of the first 19 natural numbers:\n\nX - Y = 2(1 + 2 + 3 + ... + 20) - [20 + 2(1 + 2 + 3 + ... + 19)]\nX - Y = 2(1 + 2 + 3 + ... + 20) - 20 - 2(1 + 2 + 3 + ... + 19)\n\nNow, factor out the constant '2':\n\nX - Y = 2 [(1 + 2 + 3 + ... + 20) - (1 + 2 + 3 + ... + 19)] - 20\n\nTo find the sum of the first 19 natural numbers, we can use the formula:\n\nSum_19 = (19 * (19 + 1)) / 2\nSum_19 = (19 * 20) / 2\nSum_19 = 190\n\nNow substitute the values back into the equation:\n\nX - Y = 2(210 - 190) - 20\nX - Y = 2(20) - 20\nX - Y = 40 - 20\nX - Y = 20\n\nSo the answer is (B) 20."
}
] | 0.947135 |
wizardlm | wizardlm_cc1rn8A | [
{
"role": "user",
"content": "What would be the result if we increase each number in the formula (2 * (5 + 7) / 3) ^ 2 * 9 - 10 + (8 % 3) by 3 and then divide the final result by 5?\n\n(2 * (5 + 7) / 3) ^ 2 * 9 - 10 + (8 % 3)"
},
{
"role": "assistant",
"content": "First, we simplify the given formula: \n\n(2 * (5 + 7) / 3) ^ 2 * 9 - 10 + (8 % 3) \n\n= (2 * 12 / 3) ^ 2 * 9 - 10 + 2 \n\n= (8) ^ 2 * 9 - 8 \n\n= 512 - 8 \n\n= 504 \n\nNow we increase each number in the formula by 3: \n\n(2 * (5 + 7 + 3) / 3) ^ 2 * 9 - 10 + (8 % 3 + 3) \n\n= (2 * 15 / 3) ^ 2 * 9 - 10 + 2 \n\n= (10) ^ 2 * 9 - 5 \n\n= 900 - 5 \n\n= 895 \n\nFinally, we divide the final result by 5: \n\n895 / 5 = 179 \n\nTherefore, the result of increasing each number in the formula by 3 and dividing the final result by 5 is 179."
}
] | 0.947063 |
open_orca | open_orca_flan.1000631 | [
{
"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 -122*b = -466*b - 187*b + 2124 for b."
},
{
"role": "assistant",
"content": "To solve this equation, we need to isolate the variable 'b'. Here's the equation:\n\n-122 * b = -466 * b - 187 * b + 2124\n\nStep 1: Combine like terms on one side of the equation.\nLet's combine the 'b' terms on the right side of the equation:\n\n-122 * b = (-466 - 187) * b + 2124\n\n-122 * b = -653 * b + 2124\n\nStep 2: Add 653 * b to both sides of the equation to move all 'b' terms to the left side:\n\n(-122 * b) + (653 * b) = (-653 * b + 653 * b) + 2124\n\n(531 * b) = 2124\n\nStep 3: Divide both sides of the equation by 531 to isolate 'b':\n\nb = 2124 / 531\n\nb = 4\n\nSo, the solution for the variable 'b' is 4."
}
] | 0.946899 |
open_orca | open_orca_niv.241128 | [
{
"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": "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: 3570 + 6430 + 5548 + 815 - 7096 - 6035\nA: "
},
{
"role": "assistant",
"content": "Sure, I can help you with that task. \n\nFirst, let's swap the symbols of the operators as instructed. The expression now becomes:\n\n3570 - 6430 - 5548 - 815 + 7096 + 6035\n\nNext, we can perform the operations from left to right, following the order of operations (parentheses, exponents, multiplication and division, and then addition and subtraction). \n\n3570 - 6430 = -2860\n\n-2860 - 5548 = -8408\n\n-8408 - 815 = -9223\n\n-9223 + 7096 = -2127\n\n-2127 + 6035 = 3908\n\nTherefore, the answer to the given arithmetic operation is 3908."
}
] | 0.946735 |
open_orca | open_orca_niv.426114 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"role": "user",
"content": "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: 1751 # 4680 @ 1935 @ 3257 @ 8339 # 8927 # 4123 # 9535 @ 3714\nA: "
},
{
"role": "assistant",
"content": "To solve this equation, we need to follow the order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). However, there are no parentheses or exponents in this equation, so we can start with the multiplication and division.\n\nThere are no multiplication or division operators in this equation, so we can move on to the addition and subtraction. We need to replace the '@' symbol with '+' and the '#' symbol with '-' to get the original equation:\n\n1751 - 4680 + 1935 + 3257 + 8339 - 8927 - 4123 - 9535 + 3714\n\nNow we can perform the addition and subtraction from left to right:\n\n= -1579 + 1935 + 3257 + 8339 - 8927 - 4123 - 9535 + 3714\n= -1579 - 1084 - 5886 - 4123 + 3714\n= -15558\n\nTherefore, the answer to the given equation is -15558."
}
] | 0.946181 |
open_orca | open_orca_niv.217341 | [
{
"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 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\nTeacher: Now, understand the problem? Solve this instance: 6166 @ 5811 @ 535 # 8490 # 9505 @ 4459 # 4252 @ 7939 # 3747\nStudent:"
},
{
"role": "assistant",
"content": "To solve this problem, I will use the given symbols '@' and '#' to replace the '+' and '-' operators respectively. Then, I will perform the arithmetic operations in the given equation from left to right following the order of operations (parentheses, exponents, multiplication and division, and finally addition and subtraction). \n\nSo, the given equation becomes: \n\n6166 + 5811 - 535 - 8490 - 9505 + 4459 - 4252 + 7939 - 3747 \n\nNext, I will simplify the equation by performing the addition and subtraction operations in order from left to right: \n\n= (6166 + 5811) - 535 - 8490 - 9505 + 4459 - 4252 + 7939 - 3747 \n\n= 11977 - 535 - 8490 - 9505 + 4459 - 4252 + 7939 - 3747 \n\n= -10234 \n\nTherefore, the answer to the given equation is -10234."
}
] | 0.945575 |
open_orca | open_orca_niv.431585 | [
{
"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: 6160 - 7399 + 8276 + 6666 + 1744 + 4009 - 5723 + 6126 - 4414\nA:"
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 6160 - 7399 + 8276 + 6666 + 1744 + 4009 - 5723 + 6126 - 4414\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\n6160 + (-7399) - 8276 - 6666 + 1744 + 4009 + (-5723) + 6126 + (-4414)\n\nNow, we can perform the arithmetic operations in the given order:\n\n= -1239 - 14922 + 11870\n\n= -1239 - 3052\n\n= -4291\n\nTherefore, the answer to the given arithmetic operation is -4291."
}
] | 0.945376 |
open_orca | open_orca_niv.434988 | [
{
"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": "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: 1740 - 3623 - 6235 + 54 + 9528 - 2319 + 8128 - 8063\nOutput:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to swap the symbols of addition and subtraction. So, we will perform addition when we see a '-' symbol and subtraction when we see a '+' symbol. \n\nNow, let's solve the given arithmetic operation: \n\n1740 - 3623 - 6235 + 54 + 9528 - 2319 + 8128 - 8063 \n\n= 1740 + (-3623) + (-6235) - 54 + 9528 + (-2319) + 8128 + (-8063) \n\n= -2218 \n\nTherefore, the output of the given arithmetic operation is -2218."
}
] | 0.945118 |
open_orca | open_orca_flan.194990 | [
{
"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 23693 + 1535404 = 7081*y - 10052*y - 11600*y for y.\nSolve this problem."
},
{
"role": "assistant",
"content": "First, let us simplify the problem by performing the addition on the left side and combining like terms on the right side of the equation.\n\nLeft side: 23693 + 1535404 = 1559097\n\nRight side: (7081 - 10052 - 11600) * y = (-10052 - 11600 + 7081) * y = (-519 - 11600) * y = -12119 * y\n\nNow, the equation becomes: 1559097 = -12119 * y\n\nTo solve for y, we need to isolate it by dividing both sides of the equation by -12119. \n\ny = 1559097 / (-12119)\n\ny ≈ -128.57\n\nSo, y is approximately equal to -128.57."
}
] | 0.945093 |
open_orca | open_orca_niv.335609 | [
{
"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 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.\n\n[-5, 21, -1, 45, -59, -3, 64, 5]\n"
},
{
"role": "assistant",
"content": "To come up with the answer, I will follow the given definition and apply the logic to each element in the input list: \n\nFor every element in the list, \n- If the element is even, divide it by 4.\n- If the element is odd, multiply it by 4 then add 2.\n\nHere's how the result is calculated step by step:\n\n1. -5 is odd, so (-5 * 4) + 2 = -18\n2. 21 is odd, so (21 * 4) + 2 = 86\n3. -1 is odd, so (-1 * 4) + 2 = -2\n4. 45 is odd, so (45 * 4) + 2 = 182\n5. -59 is odd, so (-59 * 4) + 2 = -234\n6. -3 is odd, so (-3 * 4) + 2 = -10\n7. 64 is even, so 64 / 4 = 16\n8. 5 is odd, so (5 * 4) + 2 = 22\n\nThe resultant list is:\n\n[-18, 86, -2, 182, -234, -10, 16, 22]"
}
] | 0.944577 |
open_orca | open_orca_niv.69109 | [
{
"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 numbers and you need to subtract every value in the list with the index it is at. The index of an elements shows its numerical order in the list(for example, in the list [7,10,4,5], the index of 7 is 1 and the index of 4 is 3) You should start the index at 1, so the first element in the list will be subtracted by one. For every element in the list you need to find \"element - index\" where the index of the beginning element is 1 and increments by 1 for each element. Put your result list in brackets.\nTeacher: Now, understand the problem? Solve this instance: [1, 20, -10, -16, -2, -2, 2, 12, -3, 12]\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. To solve this instance, I will subtract the first element by 1, the second element by 2, the third element by 3, and so on until the last element is subtracted by its index in the list. \n\nSo, the calculation will be:\n- 1 - 1 = 0\n- 20 - 2 = 18\n- (-10) - 3 = -13\n- (-16) - 4 = -20\n- (-2) - 5 = -7\n- (-2) - 6 = -8\n- 2 - 7 = -5\n- 12 - 8 = 4\n- (-3) - 9 = -12\n- 12 - 10 = 2\n\nTherefore, the result list in brackets will be [0, 18, -13, -20, -7, -8, -5, 4, -12, 2]."
}
] | 0.944539 |
open_orca | open_orca_niv.261687 | [
{
"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.\nQ: 972 - 3506 + 872 + 6070 + 6964 - 8581 - 3642 - 252 + 9373\nA:"
},
{
"role": "assistant",
"content": "Sure, I can help you with that. \n\nFirst, let's swap the symbols of operators as per the instructions given. So the new expression becomes:\n\n972 + 3506 - 872 - 6070 - 6964 + 8581 + 3642 + 252 - 9373\n\nNow, we can solve this expression step-by-step using the order of operations (PEMDAS). \n\n1. First, we need to perform addition and subtraction from left to right. \n\n972 + 3506 = 4478\n\n4478 - 872 = 3606\n\n3606 - 6070 = -2464\n\n-2464 - 6964 = -9428\n\n-9428 + 8581 = -846\n\n-846 + 3642 = 2796\n\n2796 + 252 = 3048\n\n3048 - 9373 = -6325\n\nTherefore, the answer to the given arithmetic operation is -6325."
}
] | 0.944263 |
open_orca | open_orca_niv.34927 | [
{
"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": "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: 5856 - 5004 - 168 - 6024 + 8878 + 8090 - 3389 - 1866\nStudent:"
},
{
"role": "assistant",
"content": "Yes, I understand the problem. To solve this instance, we need to follow the guidelines provided in the task. We have to perform subtraction when we see a '+' symbol and addition when we see a '-' symbol. \n\nSo, let's start solving this instance step by step:\n\nFirst, we have to perform subtraction when we see a '+' symbol. So, we can rewrite the given expression as:\n\n5856 + (-5004) + (-168) + (-6024) + 8878 + 8090 + (-3389) + (-1866)\n\nNow, we have to perform addition when we see a '-' symbol. So, we can simplify the expression as:\n\n5856 - 5004 - 168 + 6024 + 8878 + 8090 - 3389 - 1866\n\nNext, we can perform the subtraction and addition operations in the given expression from left to right:\n\n= 852 - 168 + 6024 + 8878 + 8090 - 3389 - 1866\n= 23921\n\nTherefore, the answer to this instance is 23921."
}
] | 0.944072 |
open_orca | open_orca_niv.437661 | [
{
"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": "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].\nQ: [19, -43, -28, -29, 78, 14]\nA: "
},
{
"role": "assistant",
"content": "To find the average of each two consecutive values in the list [19, -43, -28, -29, 78, 14], I will go through each pair of consecutive values and calculate the average as mentioned (a + b) / 2.\n\n1. First pair - 19 and -43:\n(19 + (-43)) / 2 = (-24) / 2 = -12\n\n2. Second pair - -43 and -28:\n((-43) + (-28)) / 2 = (-71) / 2 = -35.5\n\n3. Third pair - -28 and -29:\n((-28) + (-29)) / 2 = (-57) / 2 = -28.5\n\n4. Fourth pair - -29 and 78:\n((-29) + 78) / 2 = 49 / 2 = 24.5\n\n5. Fifth pair - 78 and 14:\n(78 + 14) / 2 = 92 / 2 = 46\n\nNow, I will convert these averages into a list format:\n\nA: [-12, -35.5, -28.5, 24.5, 46]"
}
] | 0.944042 |
open_orca | open_orca_niv.397269 | [
{
"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": "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: 9380 - 5155 - 480 - 6791 - 9548 + 2674 - 821 + 657\nOutput:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to swap the symbols of addition and subtraction. So, wherever we see a '+' symbol, we will perform subtraction and wherever we see a '-' symbol, we will perform addition.\n\nNow, let's solve the given arithmetic operation step by step:\n\n9380 - 5155 - 480 - 6791 - 9548 + 2674 - 821 + 657\n\n= 9380 + (-5155) + (-480) + (-6791) + (-9548) - 2674 + 821 - 657 (swapping the symbols)\n\n= -2956\n\nTherefore, the answer to the given arithmetic operation is -2956."
}
] | 0.94389 |
open_orca | open_orca_niv.287659 | [
{
"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.\nProblem:[57, 23, -70, -22, -63, 85, -36]\nSolution:"
},
{
"role": "assistant",
"content": "To complete this task, follow these simple steps:\n\n1. Understand the task: You will be given a list of integers, and your job is to transform each element in the list based on whether it is an even or odd number. If the number is even, divide it by 4, and if it's odd, multiply it by 4 and add 2.\n\n2. Identify any guidelines: The guidelines are that you should not round any decimals in the output, and zero (0) should be considered as an even integer.\n\n3. Use the guidelines to find the answer: Now, using these guidelines, apply the transformation rules to each element in the provided list, one by one.\n\nList: [57, 23, -70, -22, -63, 85, -36]\n\na) For 57 (odd): (57 * 4) + 2 = 230\nb) For 23 (odd): (23 * 4) + 2 = 94\nc) For -70 (even): -70 / 4 = -17.5\nd) For -22 (even): -22 / 4 = -5.5\ne) For -63 (odd): (-63 * 4) + 2 = -250\nf) For 85 (odd): (85 * 4) + 2 = 342\ng) For -36 (even): -36 / 4 = -9\n\nSolution: The transformed list of numbers will be [230, 94, -17.5, -5.5, -250, 342, -9]."
}
] | 0.943761 |
open_orca | open_orca_niv.210627 | [
{
"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": "Detailed Instructions: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25).\nQ: Let r(n) = -n**2 - 6*n + 2. Let w be r(-7). Calculate the least common multiple of 12 and ((-6)/w)/(6/20).\nA:"
},
{
"role": "assistant",
"content": "First, let's break down the task into simple steps.\n\n1. Calculate r(-7) using the given equation r(n) = -n**2 - 6*n + 2.\n2. Substitute r(-7) in place of w in the expression ((-6) / w) / (6/20).\n3. Simplify the expression obtained in step 2.\n4. Calculate the Least Common Multiple (LCM) of 12 and the number obtained in step 3.\n\nNow, let's solve the question step-by-step.\n\nStep 1: Calculate r(-7):\nr(n) = -n**2 - 6*n + 2\nr(-7) = -(-7)**2 - 6*(-7) + 2\nr(-7) = -49 + 42 + 2\nr(-7) = -5\n\nStep 2: Substitute r(-7) in place of w in the expression ((-6) / w) / (6/20):\n((-6) / (-5)) / (6 / 20)\n\nStep 3: Simplify the expression:\n(6 / 5) / (3 / 10) [We divide the numerator and denominator of the second fraction by 2]\n(6 / 5) * (10 / 3) [Invert and multiply]\n6 * 10 / 5 * 3\n60 / 15\n\nStep 4: Calculate the LCM of 12 and the simplified expression (60 / 15):\n60 / 15 = 4\n\nLCM(12, 4) = 12 [Since 12 is a multiple of 4]\n\nSo, the least common multiple of 12 and ((-6) / w) / (6 / 20) is 12."
}
] | 0.943628 |
open_orca | open_orca_niv.239147 | [
{
"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": "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\n7716 + 3673 + 8315 + 1664 + 6825 - 9115 + 4063\nOutput:"
},
{
"role": "assistant",
"content": "To solve this task, we need to perform the arithmetic operation given in the input. However, we need to swap the symbols of addition and subtraction. This means that whenever we see a '+' symbol, we need to perform subtraction and whenever we see a '-' symbol, we need to perform addition.\n\nNow, let's solve the given arithmetic operation step by step:\n\n7716 - 3673 - 8315 + 1664 - 6825 + 9115 - 4063\n\n= (7716 - 3673) - 8315 + 1664 - 6825 + 9115 - 4063\n\n= 4043 - 8315 + 1664 - 6825 + 9115 - 4063\n\n= -2683 + 1664 - 6825 + 9115 - 4063\n\n= 1118\n\nTherefore, the output of the given arithmetic operation is 1118."
}
] | 0.943619 |
open_orca | open_orca_flan.664294 | [
{
"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\nSolve -116*c - 312*c - 4936 = 189*c for c."
},
{
"role": "assistant",
"content": "In order to solve the equation -116*c - 312*c - 4936 = 189*c for c, we would first combine like terms (the terms involving c) on both sides of the equation. \n\nThe equation given is:\n\n-116*c - 312*c - 4936 = 189*c\n\nStep 1: Combine like terms on the left-hand side of the equation.\n\n(-116 - 312) * c - 4936 = 189*c\n=> -428*c - 4936 = 189*c\n\nStep 2: Add 428*c to both sides of the equation to isolate all the c terms on one side.\n\n(-428*c + 428*c) - 4936 = 189*c + 428*c\n=> -4936 = 617*c\n\nStep 3: Divide by 617 on both sides of the equation to solve for c.\n\n-4936 / 617 = 617*c / 617\n=> -8 = c\n\nSo, the solution is c = -8."
}
] | 0.943593 |
open_orca | open_orca_niv.79846 | [
{
"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": "Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25).\nQ: Let h be (-3)/(-5) - 28/(-20). What is the remainder when 0/(-4) - (h + -17) is divided by 6?\nA: "
},
{
"role": "assistant",
"content": "Let's break down the problem step by step.\n\nStep 1: Calculate h\nh = (-3)/(-5) - 28/(-20)\n\nFirst, simplify fractions:\nh = (3/5) + (7/5)\n\nNow, add the fractions (make sure they have the same denominator):\nh = (3/5) + (7/5) = (3+7)/5 = 10/5\n\nSimplify the fraction:\nh = 10/5 = 2\n\nStep 2: Calculate 0/(-4) - (h + -17)\nSince any number divided by itself is 0 (except division by 0), we have:\n0/(-4) = 0\nSo, the expression becomes:\n0 - (h + -17) = 0 - (2 + -17)\n\nStep 3: Simplify the expression\n0 - (2 + -17) = 0 - (-15) = 15\n\nStep 4: Find the remainder when 15 is divided by 6\nTo find the remainder, simply divide 15 by 6 and consider the remainder:\n15 ÷ 6 = 2 with a remainder of 3\n\nThe remainder when 0/(-4) - (h + -17) is divided by 6 is 3. So, the answer is 3."
}
] | 0.943583 |
open_orca | open_orca_flan.1038332 | [
{
"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 -26250 - 86681 = -419*o - 189*o - 34499 for o.. What is the answer??"
},
{
"role": "assistant",
"content": "Alright, we'll first simplify the equation and then solve for o. Here's the equation:\n\n-26250 - 86681 = -419 * o - 189 * o - 34499\n\nStep 1: Combine the numbers on the left side:\n\n-112931 = -419 * o - 189 * o - 34499\n\nStep 2: Combine the terms with 'o' on the right side:\n\n-112931 = (-419 - 189) * o - 34499\n\n-112931 = -608 * o - 34499\n\nStep 3: Add 34499 to both sides of the equation:\n\n-78432 = -608 * o\n\nStep 4: Divide both sides by -608 to solve for o:\n\no = -78432 / -608\n\no = 129\n\nThe value of 'o' is 129."
}
] | 0.943566 |
open_orca | open_orca_flan.1339850 | [
{
"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 -5445*x + 583*x = 606*x + 278868 for x.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the given equation -5445*x + 583*x = 606*x + 278868 for x, we'll perform the following steps:\n\nStep 1: Combine the terms containing x on the left-hand side of the equation.\n(-5445 + 583) * x = -4862 * x\n\nThe new equation will be:\n-4862 * x = 606 * x + 278868\n\nStep 2: Move the term containing x from the right-hand side to the left-hand side.\nBy subtracting 606 * x from both sides, we'll have:\n-4862 * x - 606 * x = 278868\n(-4862 - 606) * x = -5468 * x\n\nSo the equation is now:\n-5468 * x = 278868\n\nStep 3: Divide both sides by -5468 to solve for x.\nx = 278868 / -5468\n\nx ≈ -50.974\n\nSo the solution for the given equation is x ≈ -50.974."
}
] | 0.943555 |
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, let's solve the equation step by step:\n\n1. Combine like terms on each side of the equation:\n (-212 - 309) * b = 336 * b - 48849\n -521 * b = 336 * b - 48849\n\n2. Get all the b terms on one side by subtracting 336 * b from both sides:\n -521 * b - 336 * b = -48849\n -857 * b = -48849\n\n3. Now, let's isolate the variable b by dividing both sides by -857:\n b = -48849 / -857\n\n4. Calculate the value of b:\n b ≈ 57.00465\n\nSo, the value of b is approximately 57.00465."
}
] | 0.943408 |
open_orca | open_orca_flan.159144 | [
{
"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 -295279 = -6762*c - 68432 + 232969 for c.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "Step 1: Combine the constant terms on the left side of the equation:\n-295279 + 68432 + 232969 = -6762 * c\n\nStep 2: Calculate the combined value on the left side:\n(-295279) + 68432 + 232969 = -293878 + 232969 = -60909\n\nNow, the equation will look like this:\n-60909 = -6762 * c\n\nStep 3: Isolate variable 'c' by dividing both sides of the equation by -6762:\nc = -60909 / -6762\n\nStep 4: Calculate the value of 'c':\nc ≈ 9.01028971261601\n\nThe answer is:\nc ≈ 9.01"
}
] | 0.943314 |
open_orca | open_orca_niv.400357 | [
{
"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": "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.\nInput: 6226 + 5426 + 253 + 3411 + 6592 - 5556 + 1296 - 691 - 9762\nOutput:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to swap the symbols of '+' and '-' as per the given instructions. So, the operation becomes:\n\n6226 - 5426 - 253 - 3411 - 6592 + 5556 - 1296 + 691 + 9762\n\nNow, we can simply perform the arithmetic operations from left to right, following the order of operations (parentheses, exponents, multiplication/division, addition/subtraction):\n\n6226 - 5426 = 800\n800 - 253 = 547\n547 - 3411 = -2864\n-2864 - 6592 = -9456\n-9456 + 5556 = -3900\n-3900 - 1296 = -5196\n-5196 + 691 = -4505\n-4505 + 9762 = 5257\n\nTherefore, the answer to the given arithmetic operation is 5257."
}
] | 0.943283 |
open_orca | open_orca_niv.145395 | [
{
"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": "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 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\n4385 @ 9689 # 4746 # 4284 @ 6573 # 6475 # 8719 @ 8734\n"
},
{
"role": "assistant",
"content": "To solve this task, we need to replace the symbols '@' and '#' with '+' and '-' respectively and then perform the arithmetic operations in the given equation. \n\nSo, the equation becomes:\n\n4385 + 9689 - 4746 - 4284 + 6573 - 6475 - 8719 + 8734\n\nNow, we can perform the operations in the equation from left to right, following the order of operations (parentheses, exponents, multiplication/division, addition/subtraction). \n\nFirst, we can combine the terms with '+' and '-' symbols:\n\n(4385 + 9689) - 4746 - 4284 + 6573 - 6475 - 8719 + 8734\n\n= 14074 - 4746 - 4284 + 6573 - 6475 - 8719 + 8734\n\nNext, we can perform the subtraction operations:\n\n= 14074 - 29217 + 8734\n\n= -6439\n\nTherefore, the answer to the given equation is -6439."
}
] | 0.943237 |
open_orca | open_orca_niv.241824 | [
{
"role": "system",
"content": ""
},
{
"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: 8485 - 5210 + 5782 + 9255 + 3766 + 178 - 2015\nA: "
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 8485 - 5210 + 5782 + 9255 + 3766 + 178 - 2015\n\nAs per the given condition, we need to perform addition for '-' symbol and subtraction for '+' symbol.\n\nSo, the above operation can be rewritten as: 8485 + (-5210) - 5782 - 9255 + 3766 + 178 + 2015\n\nNow, we can perform the arithmetic operations in the following way:\n\n= 8485 + (-5210) - 5782 - 9255 + 3766 + 178 + 2015\n= 3276 - 15037 + 3944\n= -7821 + 3944\n= -3877\n\nTherefore, the answer is -3877."
}
] | 0.943017 |
open_orca | open_orca_flan.1535700 | [
{
"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 -1768*m + 884*m - 60 = -882*m for m."
},
{
"role": "assistant",
"content": "To solve this equation for m, we follow these steps:\n\n-1768*m + 884*m - 60 = -882*m\n\nStep 1: Combine like terms on each side of the equation:\n\n(-1768*m + 884*m) - 60 = -882*m\n\n(-1768 + 884) * m - 60 = -882*m\n(-884)*m - 60 = -882*m\n\nStep 2: Add the term containing m on the right side to both sides to move it to one side of the equation:\n\n-884*m - 60 + 882*m = -882*m + 882*m\n\n(-884*m + 882*m) - 60 = 0\n(-884 + 882) * m - 60 = 0\n(-2)*m - 60 = 0\n\nStep 3: Add 60 to both sides of the equation:\n\n(-2)*m - 60 + 60 = 0 + 60\n(-2)*m = 60\n\nStep 4: Now, to find the value of m, divide both sides of the equation by -2:\n\n(-2)*m / (-2) = 60 / (-2)\nm = -30\n\nTherefore, the solution to the given equation -1768*m + 884*m - 60 = -882*m is m = -30."
}
] | 0.942894 |
open_orca | open_orca_flan.1625676 | [
{
"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 -78*o - 4152 = -185*o - 16*o + 4704 for o."
},
{
"role": "assistant",
"content": "To solve the given equation:\n\n-78 * o - 4152 = -185 * o - 16 * o + 4704\n\n1. First, simplify the equation by combining like terms.\n\n-78 * o - 4152 = (-185 - 16) * o + 4704\n\n2. The equation now looks like this:\n\n-78 * o - 4152 = -201 * o + 4704\n\n3. To isolate o, first add 201 * o to both sides of the equation:\n\n(-78 + 201) * o - 4152 = 4704\n\n4. Simplify the equation:\n\n123 * o - 4152 = 4704\n\n5. To further isolate o, add 4152 to both sides of the equation:\n\n123 * o = 8856\n\n6. Finally, divide both sides by 123 to find the value of o:\n\no = 8856 / 123\n\n7. Divide to get the value of o:\n\no ≈ 72\n\nSo, the solution to the equation is o ≈ 72."
}
] | 0.942835 |
open_orca | open_orca_flan.2224094 | [
{
"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 -3708*n = -3702*n for n.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve -3708 * n = -3702 * n for n, follow these steps:\n\n1. Write down the equation: -3708 * n = -3702 * n\n2. In order to isolate the variable n, we will subtract -3702 * n from both sides of the equation.\n\n-3708 * n - (-3702 * n) = -3702 * n - (-3702 * n)\n\n3. Simplify:\n\n-3708 * n + 3702 * n = 0\n\n4. Combine the terms with n:\n\n(-3708 + 3702) * n = 0\n\n-6 * n = 0\n\n5. To solve for n, divide both sides by -6:\n\n(-6 * n) / -6 = 0 / -6\n\nn = 0\n\nSo, the answer is n = 0."
}
] | 0.942784 |
open_orca | open_orca_niv.109578 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"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\n1707 @ 9655 # 5079 # 6841 @ 8493 # 5506 # 6318 @ 8089 # 5820\nA:"
},
{
"role": "assistant",
"content": "To solve the given equation, we need to follow the order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). However, there are no parentheses or exponents in the given equation, so we can simply perform the operations from left to right.\n\nStarting from the left, we have:\n\n1707 @ 9655 = 11362\n11362 # 5079 = 6283\n6283 # 6841 = -5578\n-5578 @ 8493 = 2915\n2915 # 5506 = -2591\n-2591 # 6318 = -8909\n-8909 @ 8089 = -820\n-820 # 5820 = -6640\n\nTherefore, the answer to the given equation is -6640."
}
] | 0.9427 |
open_orca | open_orca_flan.1941802 | [
{
"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 -1570*m = -775*m - 752*m + 817 for m.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the given equation, -1570 * m = -775 * m - 752 * m + 817, for the variable m, follow these steps:\n\nStep 1: Combine the terms with m on the right side of the equation.\n-1570 * m = (-775 * m) + (-752 * m) + 817\n\nStep 2: Perform the addition operation on the right side.\n-1570 * m = -1527 * m + 817\n\nStep 3: Isolate the m terms by adding 1527*m to both sides of the equation.\n(-1570 * m) + (1527 * m) = -1527 * m + 1527 * m + 817\n\nStep 4: Simplify both sides of the equation.\n-43 * m = 817\n\nStep 5: Divide by -43 to find the value of m.\nm = 817 / -43\n\nThe answer is:\nm = -19"
}
] | 0.942461 |
open_orca | open_orca_niv.345972 | [
{
"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": "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.\nInput: 1041 + 9733 - 7899 - 964 + 3205 - 6059 + 674 - 1825 - 3802\nOutput:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to swap the symbols of '+' and '-' and then perform the respective operations. So, the given operation becomes:\n\n1041 - 9733 + 7899 + 964 - 3205 + 6059 - 674 + 1825 + 3802\n\nNow, we can perform the operations from left to right:\n\n1041 - 9733 = -8692\n-8692 + 7899 = -793\n-793 + 964 = 171\n171 - 3205 = -3034\n-3034 + 6059 = 3025\n3025 - 674 = 2351\n2351 + 1825 = 4176\n4176 - 3802 = 374\n\nTherefore, the answer to the given arithmetic operation is 374."
}
] | 0.942456 |
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": "The correct way to solve this operation is to swap the symbols of '+' and '-' and then perform the arithmetic operations in the correct order of precedence (i.e. first perform addition and then subtraction). \n\nSo, the operation becomes: \n\n3794 + 1029 - 2452 + 8797 + 9851 - 2015 - 6723 + 9202 \n\nNow, we can perform the addition and subtraction operations in the correct order: \n\n= (3794 + 1029 - 2452) + (8797 + 9851 - 2015) - (6723 + 9202) \n\n= 1371 + 16633 - 15925 \n\n= 1079 \n\nTherefore, the answer to the given arithmetic operation is 1079."
}
] | 0.942303 |
open_orca | open_orca_niv.44408 | [
{
"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: 6971 + 5901 - 7334 + 3502 - 1014 + 8393 + 1285 + 8436 + 9998\nA: "
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 6971 + 5901 - 7334 + 3502 - 1014 + 8393 + 1285 + 8436 + 9998\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\n6971 - 5901 + 7334 - 3502 + 1014 - 8393 - 1285 - 8436 - 9998\n\nNow, we can perform the arithmetic operations from left to right:\n\n= 1070 + 3832 - 8393 - 1285 - 8436 - 9998\n= -2210\n\nTherefore, the answer is -2210."
}
] | 0.942025 |
open_orca | open_orca_flan.806331 | [
{
"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 0 = -81*f + 8068 + 7683 - 14536 for f."
},
{
"role": "assistant",
"content": "To solve this equation, let's write it down and go step by step.\n\n0 = -81*f + 8068 + 7683 - 14536\n\nStep 1: Combine the constant terms on the right side of the equation:\n\n0 = -81*f + (8068 + 7683 - 14536)\n\n0 = -81*f + (-785)\n\nStep 2: Move the constant term (-785) to the left side of the equation by adding it:\n\n785 = -81*f\n\nStep 3: Solve for f by dividing both sides of the equation by -81:\n\nf = 785 / -81\n\nf ≈ -9.69\n\nSo the solution to the equation is f ≈ -9.69."
}
] | 0.941934 |
open_orca | open_orca_niv.225552 | [
{
"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:810 + 7251 - 6096 - 326 + 7273 - 3192 + 5085 - 5505\nSolution:"
},
{
"role": "assistant",
"content": "To solve the arithmetic problem, we'll be swapping the '+' and '-' symbols and then performing the correct operation based on the new symbols.\n\nOriginal problem: 810 + 7251 - 6096 - 326 + 7273 - 3192 + 5085 - 5505\n\nSwapping symbols: 810 - 7251 + 6096 + 326 - 7273 + 3192 - 5085 + 5505\n\nNow, perform the correct operations using the new symbols:\n\nStep 1: 810 - 7251 = -6441\nStep 2: -6441 + 6096 = -345\nStep 3: -345 + 326 = -19\nStep 4: -19 - 7273 = -7292\nStep 5: -7292 + 3192 = -4100\nStep 6: -4100 - 5085 = -9185\nStep 7: -9185 + 5505 = -3680\n\nSo, the solution to the given problem is -3680."
}
] | 0.941921 |
open_orca | open_orca_flan.708317 | [
{
"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 -832*f - 786*f = -378*f + 86*f - 21216 for f."
},
{
"role": "assistant",
"content": "To solve the equation, we need to get \"f\" on one side and the constants on the other side. Follow the steps below to isolate \"f\":\n\nStep 1: Combine the \"f\" terms on the left side of the equation:\n-832*f + 786*f = -832f + 786f = (-832 + 786) * f\nSo, the equation becomes:\n(-46) * f = -378*f + 86*f - 21216\n\nStep 2: Combine the \"f\" terms on the right side of the equation:\n-378*f + 86*f = -378f + 86f = (-378 + 86) * f\nSo, the equation becomes:\n(-46) * f = (-292) * f - 21216\n\nStep 3: Add 292*f to both sides of the equation to move the \"f\" terms to the left side:\n(-46)*f + 292*f = (-292)*f - 21216 + 292*f\nThis simplifies to:\n246*f = -21216\n\nStep 4: To isolate \"f\", divide both sides of the equation by 246:\nf = -21216 / 246\n\nStep 5: Simplify the fraction:\nf ≈ -86.26\n\nSo, f ≈ -86.26."
}
] | 0.941905 |
open_orca | open_orca_niv.154484 | [
{
"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: [[-13, 28, 46, -20, -21], [28, -6, 26], [-38, -49, 17, 12], [21, 19], [10, -40, -14, 7], [0, -22], [-50, -22], [38, 22, 21, 48]]\nOutput:"
},
{
"role": "assistant",
"content": "Using the definition, we follow these steps:\n1. Iterate through each inner list.\n2. Within each inner list, multiply all the numbers together. \n3. Store the result of the multiplication in a new list.\n\nHere's how we calculate the product for each inner list:\n\nFirst list: (-13 * 28 * 46 * -20 * -21) = 33548960\nSecond list: (28 * -6 * 26) = -4368\nThird list: (-38 * -49 * 17 * 12) = 384696\nFourth list: (21 * 19) = 399\nFifth list: (10 * -40 * -14 * 7) = 39200\nSixth list: (0 * -22) = 0\nSeventh list: (-50 * -22) = 1100\nEighth list: (38 * 22 * 21 * 48) = 931392\n\nFinally, the output would be a list of these products: [33548960, -4368, 384696, 399, 39200, 0, 1100, 931392]"
}
] | 0.941797 |
open_orca | open_orca_flan.1201334 | [
{
"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 -151*p = -2086 + 996 - 1779 for p."
},
{
"role": "assistant",
"content": "To solve the equation -151*p = -2086 + 996 - 1779 for p, we will follow the order of operations (PEMDAS) to simplify the equation step by step.\n\nStep 1: Simplify the right side of the equation.\n-2086 + 996 - 1779 = -2086 + (996 - 1779) = -2086 - 783 = -2869\n\nStep 2: Rewrite the equation with the simplified right side.\n-151*p = -2869\n\nStep 3: Divide both sides of the equation by -151 to isolate p.\n(-151*p) / -151 = (-2869) / -151\n\nStep 4: Simplify the equation.\np = 19\n\nTherefore, the solution to the equation -151*p = -2086 + 996 - 1779 is p = 19."
}
] | 0.941654 |
open_orca | open_orca_niv.19202 | [
{
"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 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: 6107 + 7814 + 7408 + 8062 - 568 + 4317\nA:"
},
{
"role": "assistant",
"content": "First, we need to swap the symbols of '+' and '-' as per the instructions. So, the given arithmetic operation becomes:\n\n6107 - 7814 - 7408 - 8062 + 568 - 4317\n\nNow, we can solve this arithmetic operation step-by-step using the rules of addition and subtraction:\n\n6107 - 7814 = -1707\n-1707 - 7408 = -9115\n-9115 - 8062 = -17177\n-17177 + 568 = -16609\n-16609 - 4317 = -20926\n\nTherefore, the answer to the given arithmetic operation is -20926."
}
] | 0.941548 |
open_orca | open_orca_flan.1716714 | [
{
"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 -4405 - 2292 = -124*s - 884 - 729 for s."
},
{
"role": "assistant",
"content": "Step 1: Simplify the left side of the equation.\n\n-4405 - 2292 = -6697\n\nSo now we have -6697 = -124*s - 884 - 729.\n\nStep 2: Simplify the right side of the equation.\n\n-124*s - 884 - 729 = -124*s - 1613\n\nSo now we have -6697 = -124*s - 1613.\n\nStep 3: Isolate the term containing the variable (in this case, -124*s) by moving the constant term from the right side of the equation to the left side.\n\nTo do this, add 1613 to both sides of the equation:\n\n-6697 + 1613 = -124*s - 1613 + 1613\n\n-5084 = -124*s\n\nStep 4: Solve for the variable 's' by dividing both sides of the equation by the coefficient of the variable, which is -124 in this case.\n\n-5084 / -124 = (-124*s) / -124\n\n40.83870967741935 ≈ s\n\ns ≈ 40.84 (rounded to two decimal places)\n\nSo, the solution for the given equation is s ≈ 40.84."
}
] | 0.941543 |
open_orca | open_orca_niv.245284 | [
{
"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 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.\n\n[[-31, 24, 0, -42], [11, 28, 0], [21, 43, -19, -26], [12, 49], [-26, 5, 46, -8, 27]]"
},
{
"role": "assistant",
"content": "In the given problem, we have been provided with a list of lists of numbers. To find the final answer, we have to multiply every number inside each inner list and store the result in a separate list. \n\nFollowing the directions, let's break down the problem step-by-step.\n\n1. Start by creating an empty list named \"result\".\n\n2. Iterate through the main list and for each inner list, compute the product of numbers.\n\n3. Append the product of each inner list into the \"result\" list.\n\nNow, let's perform calculations for each inner list:\n\nList 1: [-31, 24, 0, -42]\nProduct: -31 * 24 * 0 * (-42) = 0 (As any number multiplied by 0 is 0)\n\nList 2: [11, 28, 0]\nProduct: 11 * 28 * 0 = 0 (As any number multiplied by 0 is 0)\n\nList 3: [21, 43, -19, -26]\nProduct: 21 * 43 * (-19) * (-26) = 678378 (We used the arithmetic operations to find the product)\n\nList 4: [12, 49]\nProduct: 12 * 49 = 588 (We used the arithmetic operations to find the product)\n\nList 5: [-26, 5, 46, -8, 27]\nProduct: (-26) * 5 * 46 * (-8) * 27 = -2870640 (We used the arithmetic operations to find the product)\n\nSo, upon following the definition of the problem, the result list is:\n\nresult: [0, 0, 678378, 588, -2870640]"
}
] | 0.941432 |
open_orca | open_orca_niv.397674 | [
{
"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": "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\n9184 + 8449 - 2741 + 5392 + 8724 - 3693 + 2819 + 1183"
},
{
"role": "assistant",
"content": "Sure, I can help you with that. \n\nFirst, I will replace the '+' symbols with '-' and vice versa as per the given instructions. \n\nSo, the new expression becomes: \n\n9184 - 8449 + 2741 - 5392 - 8724 + 3693 - 2819 - 1183\n\nNow, I will perform the arithmetic operations in the order of precedence, which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction from left to right. \n\nAs there are no parentheses or exponents in the expression, I will start with multiplication and division. But there are no multiplication or division operations in the expression. \n\nSo, I will move on to addition and subtraction from left to right. \n\n9184 - 8449 = 735 \n\n735 + 2741 = 3476 \n\n3476 - 5392 = -1916 \n\n-1916 - 8724 = -10640 \n\n-10640 + 3693 = -6947 \n\n-6947 - 2819 = -9766 \n\n-9766 - 1183 = -10949 \n\nTherefore, the answer to the given arithmetic operation is -10949."
}
] | 0.941391 |
open_orca | open_orca_niv.385748 | [
{
"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": "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 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\n54 # 7164 # 2870 @ 6881 # 6740 @ 6935 # 5461\n"
},
{
"role": "assistant",
"content": "To solve the given equation, we need to replace the symbols '@' and '#' with their respective operators '+' and '-'. Then we can perform the arithmetic operations in the given order of precedence (i.e. first perform the operations with '@' symbol, then with '#' symbol) to get the final answer.\n\nSo, replacing the symbols with their respective operators, the given equation becomes:\n\n54 - 7164 - 2870 + 6881 - 6740 + 6935 - 5461\n\nNow, performing the operations in the given order of precedence, we get:\n\n= (54 - 7164 - 2870) + (6881 - 6740) - 5461\n= (-10080) + (141) - 5461\n= -10080 - 5320\n= -15400\n\nTherefore, the answer to the given equation is -15400."
}
] | 0.94138 |
open_orca | open_orca_niv.77043 | [
{
"role": "system",
"content": "You are an AI assistant that follows instruction extremely well. Help as much as you can."
},
{
"role": "user",
"content": "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: 6587 @ 1017 @ 4739 # 4674 @ 190 @ 2050 # 2383\nA: "
},
{
"role": "assistant",
"content": "To solve the given equation, we need to follow the order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).\n\nHowever, there are no parentheses or exponents in the given equation, so we can start with multiplication and division. But there are no multiplication or division operators in the equation.\n\nSo, we move on to addition and subtraction. We can replace the '@' symbol with '+' and the '#' symbol with '-' to get:\n\n6587 + 1017 + 4739 - 4674 - 190 - 2050 - 2383\n\nNow, we can perform the addition and subtraction operations from left to right:\n\n= 6587 + 1017 = 7604\n= 7604 + 4739 = 12343\n= 12343 - 4674 = 7669\n= 7669 - 190 = 7479\n= 7479 - 2050 = 5429\n= 5429 - 2383 = 3046\n\nTherefore, the answer to the given equation is 3046."
}
] | 0.941365 |
open_orca | open_orca_flan.61032 | [
{
"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 635*n + 595*n - 2133*n = -743*n - 8000 for n."
},
{
"role": "assistant",
"content": "Alright, let's solve the equation step-by-step.\n\n1. First, simplify the equation by combining like terms:\n\n 635*n + 595*n - 2133*n = -743*n - 8000\n\n2. Combine the n terms on the left side:\n\n (635 + 595 - 2133)*n = -743*n - 8000\n\n3. Calculate the sum in the parenthesis:\n\n -903*n = -743*n - 8000\n\n4. Add 743*n to both sides of the equation to isolate the remaining n term:\n\n -903*n + 743*n = -8000\n\n5. Simplify the left side:\n\n -160*n = -8000\n\n6. Divide both sides by -160 to solve for n:\n\n n = (-8000) / (-160)\n\n7. Calculate the result:\n\n n = 50\n\nSo the solution to the equation is n = 50."
}
] | 0.941203 |
open_orca | open_orca_niv.312192 | [
{
"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": "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: 5027 @ 4058 # 8225 @ 9216 # 3101 @ 8259 # 2376 # 6826 # 8997\nA: "
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, 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 simply follow the order of operations from left to right.\n\nStarting from the left, we see the symbol '@', which means we need to add the two numbers on either side of it. Therefore, we can simplify the equation as follows:\n\n5027 + 4058 # 8225 @ 9216 # 3101 @ 8259 # 2376 # 6826 # 8997\n\nNext, we see the symbol '#', which means we need to subtract the number on the right from the number on the left. Therefore, we can simplify the equation further as follows:\n\n5027 + (4058 - 8225) @ (9216 - 3101) @ (8259 - 2376) # 6826 # 8997\n\nContinuing from left to right, we see the symbol '@' again, which means we need to add the two numbers on either side of it. Therefore, we can simplify the equation further as follows:\n\n5027 + (4058 - 8225) + (9216 - 3101) @ (8259 - 2376) # 6826 # 8997\n\nNext, we see the symbol '@' again, which means we need to add the two numbers on either side of it. Therefore, we can simplify the equation further as follows:\n\n5027 + (4058 - 8225) + (9216 - 3101) + (8259 - 2376) # 6826 # 8997\n\nFinally, we see the symbol '#', which means we need to subtract the number on the right from the number on the left. Therefore, we can simplify the equation further as follows:\n\n5027 + (4058 - 8225) + (9216 - 3101) + (8259 - 2376) - 6826 # 8997\n\nNow, we can perform the final operation, which is to subtract 6826 from the result of the previous operations, and then subtract the result from 8997. Therefore, we can simplify the equation further as follows:\n\n5027 + (4058 - 8225) + (9216 - 3101) + (8259 - 2376) - 6826 - 2171\n\nSimplifying this equation further, we get:\n\n= -3282\n\nTherefore, the answer to the given arithmetic operation is -3282."
}
] | 0.941145 |
open_orca | open_orca_flan.293154 | [
{
"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": "Write down the solution for this math problem: Solve -16*o = -23*o + 35 for o."
},
{
"role": "assistant",
"content": "To solve this linear equation for the variable 'o', we will follow the systematic process of isolating 'o' on one side of the equation using algebraic manipulation.\n\nGiven equation: -16 * o = -23 * o + 35\n\nStep 1: Add 23 * o to both sides to combine the 'o' terms:\n(-16 * o) + (23 * o) = (-23 * o) + (23 * o) + 35\n(7 * o) = 35\n\nStep 2: Isolate 'o' by dividing both sides by 7:\n(7 * o) / 7 = 35 / 7\no = 5\n\nThe solution for the given equation -16 * o = -23 * o + 35 is o = 5."
}
] | 0.941091 |
open_orca | open_orca_niv.173456 | [
{
"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.\nQ: [19, -83, 45, -78, -71, -85, -10, -76, 83, -13]\nA: "
},
{
"role": "assistant",
"content": "To come up with the answer, I would follow the given definition and apply the logic to each element in the list.\n\nInput list: [19, -83, 45, -78, -71, -85, -10, -76, 83, -13]\n\n1. For the first element (19), it is positive, so I would multiply it by 2.\n 19 * 2 = 38\n\n2. For the second element (-83), it is negative, so I would multiply it by -3.\n -83 * -3 = 249\n\n3. For the third element (45), it is positive, so I would multiply it by 2.\n 45 * 2 = 90\n\nI would continue this process for the remaining elements in the list:\n\n4. -78 * -3 = 234\n5. -71 * -3 = 213\n6. -85 * -3 = 255\n7. -10 * -3 = 30\n8. -76 * -3 = 228\n9. 83 * 2 = 166\n10. -13 * -3 = 39\n\nFinally, I would combine these results into a new list:\n\nOutput list: [38, 249, 90, 234, 213, 255, 30, 228, 166, 39]"
}
] | 0.94109 |
wizardlm | wizardlm_alpaca_51821 | [
{
"role": "user",
"content": "5! / (2^3) + 6^2 - 7^2="
},
{
"role": "assistant",
"content": "First, let's solve the factorial expression: \n5! = 5 x 4 x 3 x 2 x 1 = 120 \nNext, let's solve the exponent expressions: \n2^3 = 2 x 2 x 2 = 8 \n6^2 = 6 x 6 = 36 \n7^2 = 7 x 7 = 49 \nNow, we can substitute these values into the original equation: \n120/8 + 36 - 49 = 15 + 36 - 49 = 2 \nTherefore, 5! / (2^3) + 6^2 - 7^2 = 2."
}
] | 0.941076 |
open_orca | open_orca_niv.399761 | [
{
"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: 3897 + 5945 - 5042 + 8972 + 1441 + 1348 - 6671 + 9921\nA: "
},
{
"role": "assistant",
"content": "First, we need to swap the symbols of '+' and '-' as per the instructions. So, the given arithmetic operation becomes:\n\n3897 - 5945 + 5042 - 8972 - 1441 - 1348 + 6671 - 9921\n\nNow, we can solve this operation step by step using the rules of addition and subtraction from left to right:\n\n= -2047 + 5042 - 8972 - 1441 - 1348 + 6671 - 9921\n= -9975\n\nTherefore, the answer to the given arithmetic operation is -9975."
}
] | 0.940946 |
open_orca | open_orca_flan.707008 | [
{
"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 -88*o - 2468 - 2822 = -186 for o.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "To solve the equation -88*o - 2468 - 2822 = -186 for o, follow these steps:\n\nStep 1: Combine like terms\n-88*o - (2468 + 2822) = -186\n\n-88*o - 5290 = -186\n\nStep 2: Add 5290 to both sides of the equation\n-88*o - 5290 + 5290 = -186 + 5290\n\n-88*o = 5104\n\nStep 3: Divide both sides of the equation by -88\n(-88*o) / -88 = 5104 / -88\n\no = -58\n\nTherefore, the answer is o = -58."
}
] | 0.940926 |
open_orca | open_orca_flan.822868 | [
{
"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 -35*z = -12*z + 481 - 136 for z."
},
{
"role": "assistant",
"content": "To solve -35*z = -12*z + 481 - 136 for z, follow these steps:\n\nStep 1: Simplify the equation on the right side of the equal sign.\n-12*z + 481 - 136 can be simplified to -12*z + 345 because 481 - 136 is equal to 345.\n\nNow our equation looks like this:\n-35*z = -12*z + 345\n\nStep 2: Bring the term with 'z' on the right side of the equation to the left side by adding 12*z to both sides of the equation.\n(-35*z) + (12*z) = (-12*z + 345) + (12*z)\n\nOn simplifying, the equation becomes:\n(-35 + 12)*z = 345\n-23*z = 345\n\nStep 3: Divide both sides of the equation by -23 to solve for 'z'.\n(-23*z) / (-23) = 345 / (-23)\n\nOn calculating, z equals:\nz = -15\n\nSo the solution to the given equation is z = -15."
}
] | 0.940907 |
open_orca | open_orca_flan.407252 | [
{
"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 0 = -536*o + 12*o - 1813 - 3427 for o, follow these steps:\n\n1. Combine the o terms together:\n0 = (-536 + 12)*o - 1813 - 3427;\n0 = -524*o - 1813 - 3427;\n\n2. Now, combine the constant terms together:\n0 = -524*o - (1813 + 3427);\n0 = -524*o - 5240;\n\n3. To isolate o, divide both sides of the equation by -524 (observe that -524 is not equal to 0, so we can safely divide by it):\n0/-524 = (-524*o - 5240)/-524;\n\n0 = o + 10;\n\n4. Finally, subtract 10 from both sides of the equation to find the value of o:\n0 - 10 = o + 10 - 10;\n\n-10 = o.\n\nThe solution of the equation is o = -10."
}
] | 0.94079 |
open_orca | open_orca_flan.1987125 | [
{
"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 -406*q + 194*q + 200*q = -101*q + 1691 for q."
},
{
"role": "assistant",
"content": "To solve this equation, we will follow these steps:\n\n1. Combine all the q terms on the left side of the equation.\n2. Simplify the equation.\n3. Isolate q by dividing both sides of the equation by the coefficient of q.\n\nStep 1: Combine all the q terms on the left side\n-406*q + 194*q + 200*q = -101*q + 1691\n\nStep 2: Simplify the equation\n(-406 + 194 + 200 - (-101)) * q = 1691\n(-212 + 301) * q = 1691\n89*q = 1691\n\nStep 3: Isolate q by dividing both sides by 89\nq = 1691 / 89\nq = 19\n\nThe solution to the equation is q = 19."
}
] | 0.940711 |
open_orca | open_orca_flan.2024034 | [
{
"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 -54*x = -297*x + 639 - 7118 - 5185 for x.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "Step 1: Combine the constant terms on the right side of the equation.\n\n-7118 - 5185 = -12303\n\nSo, the equation becomes:\n\n-54*x = -297*x + 639 - 12303\n\nStep 2: Add 297*x to both sides of the equation to get all x terms on one side:\n\n(-54*x) + 297*x = (-297*x) + 297*x + 639 - 12303\n\nThis simplifies to:\n\n243*x = 639 - 12303\n\nStep 3: Combine the constant terms on the right side of the equation.\n\n639 - 12303 = -11664\n\nSo the equation becomes:\n\n243*x = -11664\n\nStep 4: Divide both sides of the equation by 243 to solve for x:\n\n(243*x)/243 = (-11664)/243\n\nThis simplifies to:\n\nx = -48\n\nSo, the answer is x = -48."
}
] | 0.940711 |
open_orca | open_orca_flan.2277041 | [
{
"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 -8842*b - 8807*b + 2160 = -17729*b for b."
},
{
"role": "assistant",
"content": "Step 1: Combine the terms with the variable b. \n\nWe have two terms with the variable b: -8842*b and -8807*b.\n\n-8842*b - 8807*b = (-8842 + 8807) * b = 35 * b\n\nNow, we have the equation as:\n\n35*b + 2160 = -17729*b\n\nStep 2: Move the term with the variable b to one side of the equation.\n\nTo do this, we'll add 17729*b to both sides:\n\n35*b + 17729*b + 2160 = -17729*b + 17729*b\n\n(35 + 17729) * b + 2160 = 0\n\n17764*b + 2160 = 0\n\nStep 3: Solve for b.\n\nTo isolate b, we will subtract 2160 from both sides:\n\n17764*b = -2160\n\nNow, we'll divide both sides by 17764:\n\nb = -2160 / 17764\n\nStep 4: Simplifying the fraction.\n\nWe can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of 2160 and 17764 is 4.\n\nb = (-2160 / 4) / (17764 / 4)\nb = -540 / 4441\n\nSo, the solution for the equation is:\n\nb = -540/4441"
}
] | 0.94065 |
open_orca | open_orca_niv.392613 | [
{
"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 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\n2300 # 5024 # 9314 @ 3635 # 5767 @ 7678 @ 9968 @ 6731\nA:"
},
{
"role": "assistant",
"content": "Sure, I can complete this task. \n\nFirst, I will replace the symbols '@' and '#' with their respective operators '+' and '-'. \n\nThe equation will now look like this: \n\n2300 - 5024 - 9314 + 3635 - 5767 + 7678 + 9968 + 6731\n\nNext, I will perform the arithmetic operations in the equation, following the order of operations (PEMDAS). \n\nStarting with the parentheses, there are none in this equation. \n\nNext, I will perform any multiplication or division. There are none in this equation. \n\nMoving on to addition and subtraction, I will perform them from left to right. \n\n2300 - 5024 = -2724 \n\n-2724 - 9314 = -12038 \n\n-12038 + 3635 = -8403 \n\n-8403 - 5767 = -14170 \n\n-14170 + 7678 = -6492 \n\n-6492 + 9968 = 3476 \n\n3476 + 6731 = 10207 \n\nTherefore, the answer to the given equation is 10207."
}
] | 0.940525 |
open_orca | open_orca_niv.249557 | [
{
"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": "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\nInput: 2502 @ 2601 # 70 # 401 @ 5943 # 7899 # 5179\nOutput:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, I will follow the standard order of operations (PEMDAS) which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).\n\nHowever, since there are no parentheses or exponents in the given equation, I will start with the multiplication and division operations (if any) from left to right.\n\nBut since there are no multiplication or division operations in the given equation, I will move on to the addition and subtraction operations (if any) from left to right.\n\nNow, I will replace the '@' symbol with the '+' symbol and the '#' symbol with the '-' symbol to get the original equation:\n\n2502 + 2601 - 70 - 401 + 5943 - 7899 - 5179\n\nNext, I will perform the addition and subtraction operations from left to right:\n\n= 2502 + 2601 = 5103\n= 5103 - 70 = 5033\n= 5033 - 401 = 4632\n= 4632 + 5943 = 10575\n= 10575 - 7899 = 2676\n= 2676 - 5179 = -2503\n\nTherefore, the answer to the given arithmetic operation is -2503."
}
] | 0.940422 |
open_orca | open_orca_flan.1422474 | [
{
"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 -97183 + 44575 - 375634 = -8300*n - 4942 for n.\nAnd the answer is..."
},
{
"role": "assistant",
"content": "Step 1: Combine the constants given in the problem\n\n-97183 + 44575 - 375634 = -415242 (sum of the constants on the left-hand side)\n\nStep 2: Rewrite the equation with the combined constants:\n\n-415242 = -8300*n - 4942\n\nStep 3: Add 4942 to both sides of the equation:\n\n-415242 + 4942 = -8300*n - 4942 + 4942\n\n-410300 = -8300*n\n\nStep 4: Divide both sides of the equation by -8300:\n\n(-410300) / (-8300) = (-8300*n) / (-8300)\n\n49.55421686746988 ≈ n\n\nStep 5: Round the result to an integer value:\n\nn ≈ 50 (rounding up, because it is closer to 50 than 49)\n\nSo the answer is n ≈ 50."
}
] | 0.940234 |
open_orca | open_orca_flan.2090025 | [
{
"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 -330 - 42 = -31*i for i."
},
{
"role": "assistant",
"content": "To solve this equation for i, follow these steps:\n\n1. Rewrite the equation: -330 - 42 = -31*i\n2. Combine the numbers on the left side of the equation:\n (-330 - 42) = -372 = -31*i\n3. To isolate i, divide both sides of the equation by -31:\n (-372) / (-31) = i\n\n4. Calculate the result:\n i = 12\n\nSo, i = 12."
}
] | 0.940115 |
open_orca | open_orca_niv.434988 | [
{
"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": "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: 1740 - 3623 - 6235 + 54 + 9528 - 2319 + 8128 - 8063\nOutput:"
},
{
"role": "assistant",
"content": "To solve this problem, we need to swap the '+' and '-' symbols in the given arithmetic expression:\n\n1740 - 3623 - 6235 + 54 + 9528 - 2319 + 8128 - 8063\n\nAfter swapping, the expression becomes:\n\n1740 + 3623 + 6235 - 54 - 9528 + 2319 - 8128 + 8063\n\nNow, let's perform the arithmetic operations:\n\n= 1740 + 3623 + 6235 - 54 - 9528 + 2319 - 8128 + 8063\n= (1740 + 3623 + 6235) - (54 + 9528) + (2319 - 8128 + 8063)\n= 11598 - 9582 + 2254\n= 2020\n\nSo, the output is 2020."
}
] | 0.940048 |
open_orca | open_orca_niv.239011 | [
{
"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 numbers and you need to subtract every value in the list with the index it is at. The index of an elements shows its numerical order in the list(for example, in the list [7,10,4,5], the index of 7 is 1 and the index of 4 is 3) You should start the index at 1, so the first element in the list will be subtracted by one. For every element in the list you need to find \"element - index\" where the index of the beginning element is 1 and increments by 1 for each element. Put your result list in brackets.\n\n[-7, -16, 1, -6, -19, -8, 19, 8]"
},
{
"role": "assistant",
"content": "To find the answer, I followed the instructions provided in the definition:\n\n1. Subtract each element in the given list by its index (starting the index at 1).\n\nGiven list: [-7, -16, 1, -6, -19, -8, 19, 8]\n\n- Element at index 1 (-7): -7 - 1 = -8\n- Element at index 2 (-16): -16 - 2 = -18\n- Element at index 3 (1): 1 - 3 = -2\n- Element at index 4 (-6): -6 - 4 = -10\n- Element at index 5 (-19): -19 - 5 = -24\n- Element at index 6 (-8): -8 - 6 = -14\n- Element at index 7 (19): 19 - 7 = 12\n- Element at index 8 (8): 8 - 8 = 0\n\n2. Place the resulting values in a new list as instructed.\n\nResulting list: [-8, -18, -2, -10, -24, -14, 12, 0]"
}
] | 0.940037 |
open_orca | open_orca_flan.2314258 | [
{
"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\nSolve -8842*b - 8807*b + 2160 = -17729*b for b."
},
{
"role": "assistant",
"content": "To solve the equation -8842*b - 8807*b + 2160 = -17729*b for b, we can follow these steps:\n\n1. Combine like terms on the left side of the equation:\n (-8842 - 8807)*b + 2160 = -17729*b\n (-17649)*b + 2160 = -17729*b\n\n2. Add 17649*b to both sides of the equation to get all the b terms on one side:\n 2160 = -17729*b + 17649*b\n\n3. Combine like terms on the right side of the equation:\n 2160 = (-17729 + 17649)*b\n 2160 = -80*b\n\n4. Finally, divide both sides by -80 to solve for b:\n 2160 / (-80) = -80*b / (-80)\n -27 = b\n\nSo the solution is b = -27."
}
] | 0.939979 |
open_orca | open_orca_flan.350975 | [
{
"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 -42*p + 745 + 650 = 345 for p.. What is the answer??"
},
{
"role": "assistant",
"content": "To solve the equation -42*p + 745 + 650 = 345 for p, follow these steps:\n\n1. Combine like terms on the left side of the equation:\n -42*p + 745 + 650 = -42*p + 1395\n\n2. The equation now looks like this:\n -42*p + 1395 = 345\n\n3. To isolate the variable p, subtract 1395 from both sides of the equation:\n (-42*p + 1395) - 1395 = 345 - 1395\n -42*p = -1050\n\n4. Now, divide both sides of the equation by -42 to solve for p:\n (-42*p) / -42 = -1050 / -42\n p = 25\n\nThe solution is p = 25."
}
] | 0.939963 |
open_orca | open_orca_niv.119234 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with the answer."
},
{
"role": "user",
"content": "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.\nInput: 9097 - 3108 - 3731 - 7852 + 3082 - 3474 + 6897\nOutput:"
},
{
"role": "assistant",
"content": "To solve this problem, we will follow the instructions given and swap the '+' and '-' symbols in the operation. So, our operation will now look like this:\n\n9097 + 3108 + 3731 + 7852 - 3082 + 3474 - 6897\n\nNow, let's perform the addition and subtraction operations from left to right:\n\n(9097 + 3108) = 12205\n(12205 + 3731) = 15936\n(15936 + 7852) = 23788\n(23788 - 3082) = 20706\n(20706 + 3474) = 24180\n(24180 - 6897) = 17283\n\nSo, the output is 17283.\n\nI used the definition provided in the instructions, which stated to swap the '+' and '-' symbols, and then simply performed the modified arithmetic operation to come up with the answer of 17283."
}
] | 0.939884 |
open_orca | open_orca_flan.35470 | [
{
"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 -280*y - 2744 = 138*y - 40*y - 98 for y."
},
{
"role": "assistant",
"content": "To solve for y in the equation -280*y - 2744 = 138*y - 40*y - 98, we need to simplify the equation by combining like terms on both sides of the equation. \n\nStarting with the left side of the equation, we have -280*y - 2744. We can simplify this by combining the two terms to get -280*y - 2744 = -280*y - (7*2*2*7*2) = -280*y - (2^2 * 7^2) * 7. \n\nNext, we can simplify the right side of the equation, which is 138*y - 40*y - 98. We can combine the two y terms to get 98*y, so the equation becomes:\n\n-280*y - (2^2 * 7^2) * 7 = 98*y - 98\n\nNow we can isolate the y term on one side of the equation by adding 280*y to both sides:\n\n- (2^2 * 7^2) * 7 = 378*y - 98\n\nNext, we can add 98 to both sides of the equation:\n\n- (2^2 * 7^2) * 7 + 98 = 378*y\n\nSimplifying the left side of the equation, we get:\n\n- (2^2 * 7^2) * 7 + 98 = -2744\n\nSo the equation becomes:\n\n-2744 = 378*y\n\nFinally, we can solve for y by dividing both sides of the equation by 378:\n\ny = -2744/378\n\nSimplifying this fraction, we get:\n\ny = -728/99\n\nTherefore, the solution to the equation -280*y - 2744 = 138*y - 40*y - 98 is y = -728/99."
}
] | 0.939868 |
open_orca | open_orca_niv.156446 | [
{
"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": "Definition: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25).\nInput: Let u = -773/2 + 358. Let h be (-526)/66 + (-4)/(-12). Let w = h - -773/22. Find the common denominator of u and w.\nOutput:"
},
{
"role": "assistant",
"content": "First, we need to simplify the expression for h. \n\n(-526)/66 + (-4)/(-12) = (-263)/33 + (1/3) \n\nNext, we need to find a common denominator for u and w. \n\nu = -773/2 + 358 = -773/2 + 716/2 = -57/2 \n\nw = (-263)/33 + (1/3) - (-773/22) \n\nTo find a common denominator, we need to find the least common multiple (LCM) of 2, 3, and 33. \n\nLCM(2, 3, 33) = 2 * 3 * 11 = 66 \n\nNow we can convert u and w to have a denominator of 66. \n\nu = (-57/2) * (33/33) = -1881/66 \n\nw = [(-263 * 2)/66] + [(1 * 22)/66] + [(773 * 3)/66] \n\nw = (-526/66) + (22/66) + (2319/66) \n\nw = 1815/66 \n\nFinally, we can confirm that the common denominator of u and w is indeed 66. \n\nTherefore, the output is 66."
}
] | 0.939692 |
open_orca | open_orca_niv.239147 | [
{
"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": "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\n7716 + 3673 + 8315 + 1664 + 6825 - 9115 + 4063\nOutput:"
},
{
"role": "assistant",
"content": "First, let's understand the task, and then we'll solve the given input.\n\nTask explanation:\n1. We are given an arithmetic operation containing '+' and '-' symbols.\n2. We need to swap the meaning of '+' and '-' symbols before performing the calculation.\n3. '+' should be read as subtraction, and '-' should be read as addition.\n4. Calculate the result after swapping the meaning of the symbols.\n\nNow, we'll solve the input.\n\nInput: 7716 + 3673 + 8315 + 1664 + 6825 - 9115 + 4063\n\nStep 1: Swap symbols\n7716 - 3673 - 8315 - 1664 - 6825 + 9115 - 4063\n\nStep 2: Perform the arithmetic operation\n(7716 - 3673) - 8315 - 1664 - 6825 + 9115 - 4063\n= 4043 - 8315 - 1664 - 6825 + 9115 - 4063\n= (4043 - 8315) - 1664 - 6825 + 9115 - 4063\n= -4272 - 1664 - 6825 + 9115 - 4063\n= (-4272 - 1664) - 6825 + 9115 - 4063\n= -5936 - 6825 + 9115 - 4063\n= (-5936 - 6825) + 9115 - 4063\n= -12761 + 9115 - 4063\n= (-12761 + 9115) - 4063\n= -2646 - 4063\n= -6709\n\nOutput: -6709"
}
] | 0.939687 |
open_orca | open_orca_niv.148236 | [
{
"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.\nProblem:[36, -24, -6, -43, 7, -92, -46]\nSolution:"
},
{
"role": "assistant",
"content": "Task explanation:\n\n1. You are given a list of integers.\n2. For each element in the list, you'll follow these conditions:\n a. If the element is even (including zero), divide by 4.\n b. If the element is odd, multiply by 4 and then add 2.\n3. The output should be a new list containing the results of applying this logic to each element from the original list.\n4. Do not round any decimals in the output.\n\nGuidelines:\n\n1. Start with the given list of integers: [36, -24, -6, -43, 7, -92, -46]\n2. Process each element according to the conditions mentioned:\n a. 36 (even) - divide by 4 : 36 / 4 = 9\n b. -24 (even) - divide by 4 : -24 / 4 = -6\n c. -6 (even) - divide by 4 : -6 / 4 = -1.5\n d. -43 (odd) - multiply by 4 and add 2 : (-43 * 4) + 2 = -170\n e. 7 (odd) - multiply by 4 and add 2 : (7 * 4) + 2 = 30\n f. -92 (even) - divide by 4 : -92 / 4 = -23\n g. -46 (even) - divide by 4 : -46 / 4 = -11.5\n3. Combine the results in a list without rounding any decimals: [9, -6, -1.5, -170, 30, -23, -11.5]\n\nSolution: [9, -6, -1.5, -170, 30, -23, -11.5]"
}
] | 0.939639 |
open_orca | open_orca_flan.59452 | [
{
"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 334*o = 128*o - 601*o - 14526 for o."
},
{
"role": "assistant",
"content": "To find the value of 'o', we will follow these steps:\n\nStep 1: Write down the equation.\n334 * o = 128 * o - 601 * o - 14526\n\nStep 2: Combine the terms containing 'o' on the right side of the equation.\n334 * o = (128 - 601) * o - 14526\n\nStep 3: Calculate the resulting value inside the parenthesis.\n334 * o = (-473) * o - 14526\n\nStep 4: Subtract the term containing 'o' from both sides of the equation to isolate 'o'.\n334 * o + 473 * o = (-473) * o + 473 * o - 14526\n\nStep 5: Simplify both sides of the equation.\n(334 + 473) * o = -14526\n\nStep 6: Calculate the resulting value inside the parenthesis.\n807 * o = -14526\n\nStep 7: Divide both sides of the equation by 807 to find the value of 'o'.\no = -14526 / 807\n\nStep 8: Calculate the value of 'o'.\no ≈ -18\n\nThe solution is o ≈ -18."
}
] | 0.939441 |
open_orca | open_orca_flan.1517591 | [
{
"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 -37*l = -23*l + 56 for l.\nSolve this problem."
},
{
"role": "assistant",
"content": "To solve this equation, I will follow these steps:\n\nStep 1: Write down the equation: -37 * l = -23 * l + 56\n\nStep 2: Add 23 * l on both sides to isolate the term with l on the left side: \n-37 * l + 23 * l = -23 * l + 56 + 23 * l\n\nStep 3: Simplify the equation:\n(-37 + 23) * l = 56\n-14 * l = 56\n\nStep 4: Divide both sides by -14 to get l:\nl = 56 / (-14)\n\nStep 5: Calculate the value of l:\nl = -4\n\nSo, the solution to the equation -37 * l = -23 * l + 56 is l = -4."
}
] | 0.939437 |
open_orca | open_orca_flan.1404155 | [
{
"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 -9945*x = -2557*x - 764313 - 22582 + 11155 for x.\nWhat is the solution?"
},
{
"role": "assistant",
"content": "Let's solve the equation step by step:\n\nGiven: -9945*x = -2557*x - 764313 - 22582 + 11155\n\nStep 1: Simplify the right side of the equation\n-2557*x - 764313 - 22582 + 11155 = -2557*x - (764313 + 22582 - 11155)\n\n-2557*x - (741860)\n\nStep 2: Move the -2557*x term from the right side of the equation to the left side\n-9945*x + 2557*x = -741860\n\nStep 3: Now, combine the x terms on the left side\n(-9945 + 2557) * x = -741860\n\n-7388*x = -741860\n\nStep 4: Isolate x by dividing both sides by -7388\nx = -741860 / -7388\n\nStep 5: Calculate the value of x\nx ≈ 100.4\n\nSo, the solution is x ≈ 100.4."
}
] | 0.939411 |
open_orca | open_orca_flan.644561 | [
{
"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 -491*p = -242*p - 188*p - 1012 + 4977 for p."
},
{
"role": "assistant",
"content": "Let's solve the equation step-by-step.\n\n1. Identify the equation:\n-491*p = -242*p - 188*p - 1012 + 4977\n\n2. Combine like terms on the right side of the equation:\n-491*p = (-242 - 188) * p - 1012 + 4977\n\n-491*p = -430*p - 1012 + 4977\n\n3. Add 430*p to both sides of the equation to isolate the p term:\n-491*p + 430*p = -430*p -1012 + 4977 + 430*p\n\n(-491 + 430) * p = -1012 + 4977\n\n-61*p = 3965\n\n4. Divide both sides of the equation by -61 to solve for p:\np = 3965 / -61\n\np ≈ -65\n\nSo, the solution is p ≈ -65."
}
] | 0.939388 |
open_orca | open_orca_niv.62761 | [
{
"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 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: 9567 + 7141 - 1978 - 1766 - 237 + 5494 + 1654 - 8368\nStudent:"
},
{
"role": "assistant",
"content": "Sure, I understand the problem. Here are the steps to solve the given instance:\n\n1. Swap the symbols of '+' and '-' operators as per the problem statement.\n2. Rewrite the given instance with the swapped operators: 9567 - 7141 + 1978 + 1766 + 237 - 5494 - 1654 + 8368\n3. Now, we can perform the arithmetic operations in the given order from left to right:\n - 9567 - 7141 = 2426\n - 2426 + 1978 = 4404\n - 4404 + 1766 = 6170\n - 6170 + 237 = 6407\n - 6407 - 5494 = 914\n - 914 - 1654 = -740\n - (-740) + 8368 = 7628\n4. Therefore, the answer to the given instance is 7628.\n\nI hope this helps. Let me know if you have any further questions or if there's anything else I can assist you with."
}
] | 0.939366 |
open_orca | open_orca_flan.406015 | [
{
"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 549*l + 84270 = -774*l + 55*l - 322*l for l."
},
{
"role": "assistant",
"content": "Step 1: Combine like terms on both sides of the equation:\nTo start, we can combine the terms containing 'l' on the right side of the equation. That would be -774*l + 55*l - 322*l.\n\n-774 * l + 55 * l - 322 * l = -774 * l + (-1) * (55 * l - 322 * l) [Factoring out -1]\n = -774 * l - 1 * (55 * l - 322 * l) [Multiplying -1]\n = -774 * l - (55 * l - 322 * l) [Distributing the negative sign (multiplying by -1)]\n = (-774 + 55 - 322) * l [Combining the like terms]\n = -1041 * l [Adding the constants]\n\nNow, our equation looks like:\n549*l + 84270 = -1041*l\n\nStep 2: Move the variable to one side of the equation\nWe need to move the variable terms to one side of the equation. To do this, we will add 1041*l to both sides.\n\n549 * l + 1041 * l + 84270 = -1041 * l + 1041 * l\n(549 + 1041) * l + 84270 = 0 [Combining like terms on the left side]\n\nNow the equation will look like:\n1590 * l + 84270 = 0\n\nStep 3: Move the constant to the other side of the equation\nNext, we need to move the constant to the other side of the equation. To do this, we will subtract 84270 from both sides.\n\n1590 * l + 84270 - 84270 = 0 - 84270\n1590 * l = -84270 [Subtracting the constants]\n\nStep 4: Solve for the variable l\nFinally, in order to find the value for l, we will divide both sides of the equation by 1590.\n\nl = -84270 / 1590\n\nOn calculating, we get:\n\nl ≈ -53\n\nSo, the solution for the given equation is l ≈ -53."
}
] | 0.939365 |
open_orca | open_orca_flan.433547 | [
{
"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 -1980 = -117*b + 330*b - 108*b - 141*b for b."
},
{
"role": "assistant",
"content": "To solve the equation -1980 = -117*b + 330*b - 108*b - 141*b for b, we should first combine the terms involving b on the right-hand side.\n\nStep 1: Combine the terms involving b\n-117*b + 330*b - 108*b - 141*b\n\nStep 2: Do the math\n(-117 + 330 - 108 - 141) * b\n(213 - 249) * b\n-36 * b\n\nSo, the simplified equation is:\n-1980 = -36 * b\n\nStep 3: Solve for b\nTo isolate b, we divide both sides of the equation by -36.\n\n-1980 / -36 = (-36 * b) / -36\n\n55 = b\n\nSo, b = 55."
}
] | 0.939364 |
open_orca | open_orca_flan.2237288 | [
{
"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 -173489*f = -172125*f + 33237 + 4955 for f.\nSolve this problem."
},
{
"role": "assistant",
"content": "Let's solve the equation step by step:\n\n1. First, we need to simplify and rewrite the equation:\n-173489 * f = -172125 * f + 33237 + 4955\n\n2. Add the constant on the right side of the equation:\n-173489 * f = -172125 * f + (33237 + 4955)\n\n3. Calculate the sum of the constants:\n-173489 * f = -172125 * f + 38192\n\n4. Move the variable from the right side of the equation to the left side to isolate f:\n(-173489 * f) - (-172125 * f) = 38192\n\n5. Add the f terms on the left side of the equation:\n(-173489 + 172125) * f = 38192\n\n6. Calculate the sum of the f terms:\n-1364 * f = 38192\n\n7. To isolate f, divide both sides of the equation by the coefficient of f:\nf = 38192 / -1364\n\n8. Calculate the value of f:\nf ≈ -27.98\n\nSo, f ≈ -27.98."
}
] | 0.939347 |
open_orca | open_orca_flan.901954 | [
{
"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 -39*z + 254*z = 48*z - 355*z + 47502 for z."
},
{
"role": "assistant",
"content": "To solve the equation, the first step is to consolidate all the terms containing 'z' on one side of the equation. \n\nThe given equation is:\n-39 * z + 254 * z = 48 * z - 355 * z + 47502\n\nCombine the 'z' terms on both sides of the equation:\n\n(254 * z - 39 * z) - (48 * z - 355 * z) = 47502\n\n215 * z + 307 * z = 47502 (since 254 - 39 = 215 and 355 - 48 = 307)\n\nNow, add both 'z' terms:\n\n522 * z = 47502 (since 215 + 307 = 522)\n\nNow, to find the value of 'z', divide both sides of the equation by 522:\n\nz = 47502 / 522\n\nz ≈ 91\n\nSo, the value of 'z' is approximately 91."
}
] | 0.9393 |
open_orca | open_orca_niv.314593 | [
{
"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 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.\nProblem:[14, -11, -83, 37, -39, 5]\nSolution:"
},
{
"role": "assistant",
"content": "To solve this problem, we will apply the given logic to each element in the input list.\n\nHere's the input list: [14, -11, -83, 37, -39, 5]\n\n1. 14 is even, so we divide by 4: 14 / 4 = 3.5\n2. -11 is odd, so we multiply by 4 and add 2: (-11 * 4) + 2 = -42\n3. -83 is odd, so we multiply by 4 and add 2: (-83 * 4) + 2 = -330\n4. 37 is odd, so we multiply by 4 and add 2: (37 * 4) + 2 = 150\n5. -39 is odd, so we multiply by 4 and add 2: (-39 * 4) + 2 = -154\n6. 5 is odd, so we multiply by 4 and add 2: (5 * 4) + 2 = 22\n\nNow let's put the resulting numbers in a list: [3.5, -42, -330, 150, -154, 22]\n\nThe solution is: [3.5, -42, -330, 150, -154, 22]"
}
] | 0.939273 |
wizardlm | wizardlm_alpaca_53968 | [
{
"role": "user",
"content": "8.5 / 3.5 + 5.2 * 2.8 - 4.6 ^ 3.1="
},
{
"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: 4.6 ^ 3.1 = 91.947\n2. Next, we can perform the division: 8.5 / 3.5 = 2.429\n3. Then, we can multiply: 5.2 * 2.8 = 14.56\n4. Finally, we can subtract: 2.429 + 14.56 - 91.947 = -75.958\nTherefore, the solution to the equation 8.5 / 3.5 + 5.2 * 2.8 - 4.6 ^ 3.1 is approximately -75.958."
}
] | 0.93927 |
open_orca | open_orca_niv.192348 | [
{
"role": "system",
"content": "Explain how you used the definition to come up with 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[71, 12, -77, -46, 85, -82, -77]\nOutput:"
},
{
"role": "assistant",
"content": "To solve this task, we must follow the definition given. We have a list of numbers: [71, 12, -77, -46, 85, -82, -77]\n\nNow, we need to find the average of each two consecutive values. We'll do this by applying the given formula for average: (a + b) / 2, where a and b are the two consecutive numbers.\n\n1. First pair: (71 + 12) / 2 = 83 / 2 = 41.5\n2. Second pair: (12 + -77) / 2 = -65 / 2 = -32.5\n3. Third pair: (-77 + -46) / 2 = -123 / 2 = -61.5\n4. Fourth pair: (-46 + 85) / 2 = 39 / 2 = 19.5\n5. Fifth pair: (85 + -82) /2 = 3 / 2 = 1.5\n6. Sixth pair: (-82 + -77) / 2 = -159 / 2 = -79.5\n\nNow, we have the list of all the averages of each two consecutive values.\nOutput: [41.5, -32.5, -61.5, 19.5, 1.5, -79.5]"
}
] | 0.939161 |
open_orca | open_orca_flan.1948759 | [
{
"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\nSolve -6*n - 7*n + 370 = -3*n for n."
},
{
"role": "assistant",
"content": "To solve the equation -6*n - 7*n + 370 = -3*n, we need to simplify the equation and then isolate the variable, n.\n\n1. Combine the terms with 'n' on the left side of the equation:\n\n(-6 - 7) * n + 370 = -3 * n\n(-13) * n + 370 = -3 * n\n\n2. Add 3n to both sides of the equation to eliminate 'n' on the right side:\n\n(-13 + 3) * n + 370 = 0\n(-10) * n + 370 = 0\n\n3. Now, we can isolate variable n. Subtract 370 from both sides of the equation:\n\n-10 * n = -370\n\n4. Next, divide both sides by -10 to find the value of n:\n\nn = -370 / -10 = 37\n\nSo the solution to the equation is n = 37."
}
] | 0.939117 |
open_orca | open_orca_flan.1179487 | [
{
"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 0 = -212*o - 12167 - 5330 + 537 for o."
},
{
"role": "assistant",
"content": "Let's solve this step by step.\n\n1. Simplify the equation:\n\n0 = -212 * o - 12167 - 5330 + 537\n\nFirst, we need to combine like terms, that is, the constants (-12167, -5330 and 537).\n\n-12167 - 5330 + 537\n= -12167 - 5330 + 537\n= -17497 + 537\n= -16960\n\nSo now, our equation becomes:\n\n0 = -212 * o - 16960\n\n2. Isolate 'o' term:\n\nTo solve for 'o', we need to add 16960 to both sides of the equation:\n\n0 + 16960 = -212 * o - 16960 + 16960\n16960 = -212 * o\n\n3. Divide by the coefficient of 'o':\n\nNow, we need to divide both sides of the equation by the coefficient of 'o', which is -212:\n\n16960 / -212 = (-212 * o) / -212\n-80 = o\n\nTherefore, the solution for the equation is:\n\no = -80"
}
] | 0.939106 |
open_orca | open_orca_flan.2216161 | [
{
"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 = 84*p - 20*p + 139 - 1099 for p."
},
{
"role": "assistant",
"content": "To solve the equation 0 = 84*p - 20*p + 139 - 1099 for p, follow these steps:\n\n1. Combine like terms:\n 0 = (84*p - 20*p) + (139 - 1099)\n \n2. Subtract 20*p from 84*p:\n 0 = 64*p + (139 - 1099)\n \n3. Subtract 1099 from 139:\n 0 = 64*p - 960\n\n4. To isolate p, divide both sides of the equation by 64:\n (0 = 64*p - 960) / 64\n 0 = p - 15\n\n5. Add 15 to both sides of the equation to solve for p:\n 0 + 15 = p - 15 + 15\n 15 = p\n\nThe solution to the equation is p = 15."
}
] | 0.939106 |
open_orca | open_orca_niv.210188 | [
{
"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": "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.\n9605 - 3090 + 8125 + 5081 + 1705 + 6096 + 6431 - 232 + 4031\nA:"
},
{
"role": "assistant",
"content": "To solve this arithmetic operation, we need to swap the symbols of '+' and '-' as per the given instructions. So, the operation becomes:\n\n9605 + 3090 - 8125 - 5081 - 1705 - 6096 - 6431 + 232 - 4031\n\nNow, we can perform the addition and subtraction operations in the given order from left to right:\n\n= 9605 + 3090 = 12695\n= 12695 - 8125 = 4570\n= 4570 - 5081 = -510\n= -510 - 1705 = -2215\n= -2215 - 6096 = -8311\n= -8311 - 6431 = -14742\n= -14742 + 232 = -14510\n= -14510 - 4031 = -18541\n\nTherefore, the answer to the given arithmetic operation is -18541."
}
] | 0.939087 |
open_orca | open_orca_niv.237209 | [
{
"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: 799 + 9104 - 2060 - 779 + 5546 - 9608 + 4006 + 8557 - 3643\nA:"
},
{
"role": "assistant",
"content": "The given arithmetic operation is: 799 - 9104 + 2060 + 779 - 5546 + 9608 - 4006 - 8557 + 3643\n\nNow, we need to perform the addition operation when we see a '-' symbol and subtraction when we see a '+' symbol.\n\nSo, the simplified expression is:\n\n= 799 - 9104 + 2060 + 779 + 5546 - 9608 + 4006 + 8557 - 3643\n\n= - 3648\n\nTherefore, the answer is -3648."
}
] | 0.939062 |
open_orca | open_orca_niv.308961 | [
{
"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:311 + 8809 - 9456 + 5455 - 7763 - 2360 + 2335 - 3967\nSolution:"
},
{
"role": "assistant",
"content": "To solve the given arithmetic operation, we need to follow the instructions and perform subtraction when we see a '+' symbol and addition when we see a '-' symbol. Let's break down the problem step by step.\n\nProblem: 311 + 8809 - 9456 + 5455 - 7763 - 2360 + 2335 - 3967\n\nAccording to the instructions:\n\nStep 1: 311 - 8809 = -8498\nStep 2: -8498 + 9456 = 958\nStep 3: 958 - 5455 = -4497\nStep 4: -4497 + 7763 = 3266\nStep 5: 3266 + 2360 = 5626\nStep 6: 5626 - 2335 = 3291\nStep 7: 3291 + 3967 = 7258\n\nSolution: The answer to the given arithmetic operation is 7258."
}
] | 0.939047 |
open_orca | open_orca_niv.124052 | [
{
"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.\n\n5992 + 7637 - 7427 + 1102 + 677 + 9685 + 6972"
},
{
"role": "assistant",
"content": "In this problem, I've been asked to swap the symbols of operators '+' and '-' before performing the arithmetic operations. So the given arithmetic operation becomes:\n\n5992 - 7637 + 7427 - 1102 - 677 - 9685 + 6972\n\nNow, let's perform the operations step by step:\n\nStep 1: 5992 - 7637 = -1645\n\nStep 2: -1645 + 7427 = 5782\n\nStep 3: 5782 - 1102 = 4680\n\nStep 4: 4680 - 677 = 4003\n\nStep 5: 4003 - 9685 = -5682\n\nStep 6: -5682 + 6972 = 1290\n\nSo the answer to the modified arithmetic operation is 1290."
}
] | 0.939014 |
End of preview. Expand
in Data Studio
RDS+ Selected BBH shots 326k
This is the dataset (and associated scores) selected by RDS+ when selecting 326k samples using BBH few-shot samples. For more details, please see the paper Practical Large-Scale Data Selection for Instruction Tuning.
This dataset is selected from Tulu 2 unfiltered, and please see that page for more information on sources.
When finetuning a Llama 2 7b model on this data using the associated codebase and evaluating with the same codebase, the expected results are:
| MMLU | GSM8k | BBH | TydiQA | Codex | Squad | AlpacaEval | Average | |
|---|---|---|---|---|---|---|---|---|
| MMLU shots 326k | 51.69 | 34.04 | 45.30 | 56.07 | 32.43 | 88.75 | 33.09 | 48.77 |
| GSM8K shots 326k | 50.66 | 35.94 | 45.02 | 55.67 | 31.08 | 85.02 | 37.03 | 48.63 |
| BBH shots 326k (this data) | 49.36 | 34.34 | 44.44 | 51.99 | 28.38 | 81.44 | 35.51 | 46.49 |
| TydiQA shots 326k | 50.89 | 14.78 | 45.78 | 57.68 | 27.03 | 88.94 | 29.61 | 44.96 |
| Codex 326k | 47.17 | 35.25 | 45.10 | 52.09 | 33.78 | 83.35 | 45.01 | 48.82 |
| Squad 326k | 51.18 | 12.21 | 42.84 | 57.17 | 26.35 | 87.87 | 31.58 | 44.17 |
| AlpacaFarm 326k | 51.45 | 21.76 | 44.76 | 52.24 | 26.35 | 81.43 | 51.13 | 47.02 |
This is using the following hyperparameters:
- learning_rate: 2e-05
- total_train_batch_size: 128
- lr_scheduler_type: linear
- lr_scheduler_warmup_ratio: 0.03
- num_epochs: 2.0
License
We are releasing this dataset under the terms of ODC-BY. By using this, you are also bound by the Common Crawl terms of use in respect of the content contained in the dataset. Note that that different licenses apply to subsets of the data. See Tulu 2 unfiltered for details.
Citation
If you find this model or data is useful in your work, please cite it with:
@misc{ivison2025data,
title={{Practical Large-Scale Data Selection for Instruction Tuning}},
author={{Hamish Ivison and Muru Zhang and Faeze Brahman and Pang Wei Koh and Pradeep Dasigi}}
year={2025},
url={https://arxiv.org/abs/2503.01807},
eprint={2503.01807},
archivePrefix={arXiv},
primaryClass={cs.CL}
}
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