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Detailed Instructions: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. See one example below: Problem: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: Solve -77*h + 1000 = -177*h for h. Solution:
algebra
4
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example solution: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: Convert 343372.3cm to meters.
Solution: measurement
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: What is prob of sequence ggl when three letters picked without replacement from glllllllgllllllllg? Answer:
probability
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. -------- Question: What is 725.3173 weeks in microseconds? Answer: measurement Question: What is prob of sequence zdz when three letters picked without replacement from qvooxvxzozdzxxv? Answer: probability Question: Solve -3*m + 2*i = 1, -4*m - 44 + 39 = i for m. Answer:
algebra
7
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example Input: Solve 0 = 2*g - o - 2 + 5, -4*g = 4*o for g. Example Output: algebra Example Input: What is 42/11 + 0 + -4? Example Output: arithmetic Example Input: Suppose -2*m - 2*h + 36 = 12, -2*m + 42 = -4*h. Suppose -2*u = 5*x - 40 - 2, -u = x - m. Solve 14 = 4*d + 2*s, -s = 2*d - 6*d + u for d. Example Output:
algebra
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: Let h(j) = -j**3 + j**2 + j + 80. Let n be h(0). Let f = -4 - -14. Calculate the highest common divisor of f and n. Ex Output: numbers Ex Input: Solve 0 = -34*s + 26*s for s. Ex Output: algebra Ex Input: In base 15, what is 5 + -363? Ex Output:
arithmetic
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: In base 3, what is 10022 + -11? Answer:
arithmetic
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: What is next in -180, -373, -592, -849, -1156, -1525? Ex Output: algebra Ex Input: Solve -2*i = -4*x + 1 - 17, 5*i = 5*x + 20 for i. Ex Output: algebra Ex Input: Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k? Ex Output:
probability
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Solve -30 = -14*r + 8*r for r. Answer:
algebra
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: How many decades are there in nine tenths of a century? Solution:
measurement
6
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: In base 3, what is 10010 + -201? Solution:
arithmetic
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Q: Suppose 3*x + 197 = 4*x. Calculate the remainder when x is divided by 33. A: numbers **** Q: Let p be -2*(-4 - (-5)/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3/(-2))/(6/(-32)). Solve 0*v + n = -b*v for v. A: algebra **** Q: How many decades are there in nine tenths of a century? A:
measurement ****
4
NIv2
task834_mathdataset_classification
fs_opt
Teacher: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Teacher: Now, understand the problem? If you are still confused, see the following example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Reason: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this instance: Suppose -w = 0, -1 = -m + w + 17. Calculate the highest common factor of m and 45. Student:
numbers
2
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Input: Consider Input: How many hours are there in 3365872.2 microseconds? Output: measurement Input: Consider Input: Four letters picked without replacement from oikkxxooxkoxkxk. What is prob of picking 4 x? Output: probability Input: Consider Input: Suppose -w = 0, -1 = -m + w + 17. Calculate the highest common factor of m and 45.
Output: numbers
2
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: What is prob of sequence aavh when four letters picked without replacement from avavvhavaa? Ex Output: probability Ex Input: What is 97394.31 days in milliseconds? Ex Output: measurement Ex Input: Suppose 5*x - 7 = -22. Let p = 11 + x. Let b be p/2 - 1/1. Solve 0 = -m + b*m - 6 for m. Ex Output:
algebra
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: What is 10 + 4 + (8 - 15)? Solution:
arithmetic
6
NIv2
task834_mathdataset_classification
fs_opt
Part 1. Definition You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Part 2. Example Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Answer: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Part 3. Exercise What is the next term in 1097, 2189, 3283, 4379, 5477, 6577? Answer:
algebra
7
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example Input: Let d be (0 - 1)/((-1)/7). Let t = 2 + -1. Let b be -4 + 2 + d/t. Solve 2*m = b*z + 4, -m + 2*z - 5 = 3*z for m. Example Output: algebra Example Input: Suppose 4*d - 30 = -2*d. Solve 4*o + 4*h = h + 4, 3*h - 2 = -d*o for o. Example Output: algebra Example Input: Let i(m) = m**3 + 26*m**2 + 42*m - 25. Let j be i(-24). Calculate the highest common divisor of 17 and j. Example Output:
numbers
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: Calculate -39 - 1459. Solution:
arithmetic
6
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Let i(m) = m**3 + 26*m**2 + 42*m - 25. Let j be i(-24). Calculate the highest common divisor of 17 and j. Solution:
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Let d = -5 + -21. Let o = d - -44. Calculate the lowest common multiple of o and 20. Solution:
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: Convert 0.0552082 litres to millilitres. Output:
measurement
1
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: What is the product of 4907 and 0.3? Solution:
arithmetic
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. -------- Question: Suppose -5*j + 318 + 17 = 0. Let p be j*3/(-6)*-2. Suppose -p = 2*c - 227. What is the highest common factor of 16 and c? Answer: numbers Question: Four letters picked without replacement from {q: 1, h: 1, u: 1, e: 1, r: 1}. Give prob of picking 2 q, 1 h, and 1 r. Answer: probability Question: What is 80189.51mg in micrograms? Answer:
measurement
7
NIv2
task834_mathdataset_classification
fs_opt
Detailed Instructions: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. See one example below: Problem: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: Evaluate 0 - 3 - -6 - -2. Solution:
arithmetic
4
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Let p(s) = -s**2 - 5*s - 1. Let y be p(-5). What is the tens digit of y - (-2 + -11*2)? Solution:
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example solution: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: Solve 2*h + 1 = d, -2*d - 4*h + 15 = 5 for d.
Solution: algebra
5
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Let x(k) = 11*k - 7. Let s = 8 - 5. What is the tens digit of x(s)? Solution:
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: In base 3, what is -12020 + 10? Output:
arithmetic
1
NIv2
task834_mathdataset_classification
fs_opt
instruction: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. question: (60 - 54) + -5 + -2 answer: arithmetic question: Let c = -52 - -79. What is the remainder when 53 is divided by c? answer: numbers question: What is the value of 2 + (-3 - (0 + -5)) - 2? answer:
arithmetic
9
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. In base 5, what is 23000 - 1? arithmetic What is the cube root of 14948 to the nearest integer? arithmetic Let a(s) = -s**3 - 15*s**2 - 15*s - 14. Let d be a(-14). Solve 5*i + 5*f - f + 17 = d, 3*i = -5*f - 18 for i.
algebra
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: What is the next term in 911, 1817, 2711, 3587, 4439, 5261, 6047? Solution:
algebra
6
NIv2
task834_mathdataset_classification
fs_opt
Detailed Instructions: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. See one example below: Problem: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: Let d = 5 - 3. Let z be (1 + 0)*(5 - 2). Suppose -z*l = d*l. Solve -x + 0 + 1 = l for x. Solution:
algebra
4
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: What is 5631 to the power of 1/2, to the nearest integer? Solution:
arithmetic
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Let u = -11 + 14. Solve -u*d - 25 = 2*d for d. Answer:
algebra
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. -------- Question: Let i(f) = -4*f**2 - 2*f - 1. Let n = 5 + -6. Let x be i(n). Let s(v) = v**2 + 4*v + 4. Let j be s(x). Solve j = -4*u - 3 for u. Answer: algebra Question: Evaluate 6/(-28)*1*(-16)/12. Answer: arithmetic Question: What is 5631 to the power of 1/2, to the nearest integer? Answer:
arithmetic
7
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: 100/56 + 4/(-14) Ex Output: arithmetic Ex Input: What is 2900 to the power of 1/7, to the nearest integer? Ex Output: arithmetic Ex Input: Let u(n) = 5 + 3*n**3 - 4*n**3 + n + n - 3*n**2 + 7*n**2. Suppose 0 = -4*i - 2*t + 20, 3*i - 18 + 0 = -3*t. What is the units digit of u(i)? Ex Output:
numbers
1
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Four letters picked without replacement from yyayyyyxyyxyaxxaa. What is prob of picking 1 x and 3 y? Solution:
probability
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Input: Consider Input: Let v = 4 + -2. Suppose v*n + 10 = -0*n, 20 = -5*o - n. Find the common denominator of 18 and 22/8 - o/(-12). Output: numbers Input: Consider Input: Two letters picked without replacement from vssvvnddvvnlnan. What is prob of picking 1 l and 1 n? Output: probability Input: Consider Input: Four letters picked without replacement from yyayyyyxyyxyaxxaa. What is prob of picking 1 x and 3 y?
Output: probability
2
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: Let z(s) be the third derivative of 0*s**3 + 0*s**4 + 2/15*s**5 + s**2 + 0*s + 0. What is the units digit of z(-1)? Output:
numbers
1
NIv2
task834_mathdataset_classification
fs_opt
Part 1. Definition You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Part 2. Example Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Answer: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Part 3. Exercise What is seven halves of a meter in centimeters? Answer:
measurement
7
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. (60 - 54) + -5 + -2 arithmetic Total of 5 and 0.10827. arithmetic Multiply 26.6 and 2.
arithmetic
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: Let a = -149/28 + -8/35. What is the common denominator of a and 81/4? A:
numbers
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Input: Consider Input: -387 divided by 29 Output: arithmetic Input: Consider Input: In base 5, what is 23000 - 1? Output: arithmetic Input: Consider Input: Let d = 1 - -2. Let w be ((-10)/8)/(d/(-36)). Solve -w = 3*z + 2*z for z.
Output: algebra
2
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: What comes next: -27, -49, -73, -99? Output:
algebra
1
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: Let w be 18/27*(-18)/(-4). Suppose s - w*s + 80 = 0. What is the units digit of s? Output:
numbers
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. What is the square root of 33263 to the nearest integer? arithmetic What is the third root of 102 to the nearest integer? arithmetic Let w be 18/27*(-18)/(-4). Suppose s - w*s + 80 = 0. What is the units digit of s?
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: How many decades are there in 356318.7 months? A:
measurement
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example solution: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Problem: How many micrograms are there in one tenth of a milligram?
Solution: measurement
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Q: How many microseconds are there in 3/40 of a millisecond? A: measurement **** Q: What is prob of sequence ltr when three letters picked without replacement from lijjjotjjorjjl? A: probability **** Q: Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, k: 1}. A:
probability ****
4
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: What is the value of 2 - (-1 - -7) - -8? Ex Output: arithmetic Ex Input: In base 4, what is -20 - -31232? Ex Output: arithmetic Ex Input: What is -104752 - 0.19? Ex Output:
arithmetic
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [Q]: Let g = 47 - -9. Suppose 0 = -7*t + 3*t + g. Calculate the smallest common multiple of t and 16. [A]: numbers [Q]: Let i = 18 + -12. What is the greatest common factor of 2 and i? [A]: numbers [Q]: What is -19.2 times 0.4? [A]:
arithmetic
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Let z be ((-6)/4)/(3/(-6)). Let j(g) = -g**3 + 3*g**2 + g - 3. Let x be j(3). Let m be (-5 + x)*3/(-5). Solve 6*c - c = 5, -3*c + m = z*r for r. Answer:
algebra
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. -------- Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 4, u: 5, b: 2, e: 2}? Answer: probability Question: Three letters picked without replacement from {z: 4, p: 2, a: 3, c: 1, y: 6}. What is prob of sequence ppy? Answer: probability Question: Let v = -2/1793 + 19749/23309. Calculate the common denominator of v and 21/8. Answer:
numbers
7
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: Let v = -2/1793 + 19749/23309. Calculate the common denominator of v and 21/8. Solution:
numbers
6
NIv2
task834_mathdataset_classification
fs_opt
Teacher: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Teacher: Now, understand the problem? If you are still confused, see the following example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Reason: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this instance: What comes next: 19, 16, 25, 58, 127? Student:
algebra
2
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [EX Q]: What is (((-36)/(-15))/4)/(15/(-75))? [EX A]: arithmetic [EX Q]: Suppose -3 = -j - 4. Let h be j + 0 + (4 - 3). What is the units digit of h - -1 - 6*-1? [EX A]: numbers [EX Q]: Let f be -1*3*(-4)/12. Find the common denominator of ((-5)/22)/((-6)/60) and f/((-5)/(-56)) + -1. [EX A]:
numbers
6
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: How many kilometers are there in 90.73232 micrometers? A:
measurement
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Ex Input: How many hours are there in 3365872.2 microseconds? Ex Output: measurement Ex Input: What is 6 + -1 - (7 + -2)? Ex Output: arithmetic Ex Input: What is the next term in -53, -51, -49, -47, -45, -43? Ex Output:
algebra
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: What is prob of sequence zyz when three letters picked without replacement from {z: 5, y: 7}? Solution:
probability
6
NIv2
task834_mathdataset_classification
fs_opt
instruction: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. question: Calculate prob of sequence xad when three letters picked without replacement from {x: 3, a: 3, d: 4, g: 1}. answer: probability question: What is prob of sequence sgl when three letters picked without replacement from {e: 4, d: 1, s: 2, b: 1, l: 2, g: 4}? answer: probability question: What is prob of sequence mlmg when four letters picked without replacement from gdlummtlu? answer:
probability
9
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution is here: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this: Suppose 2*n + 2*n = 4. Suppose -n = f - 2. What is the highest common divisor of f and 5? Solution:
numbers
6
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. What is prob of picking 1 u and 3 f when four letters picked without replacement from wfffsmfwu? probability In base 8, what is -40 - 32? arithmetic What is 1056 to the power of 1/2, to the nearest integer?
arithmetic
0
NIv2
task834_mathdataset_classification
fs_opt
TASK DEFINITION: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. PROBLEM: What is prob of sequence xpx when three letters picked without replacement from {x: 14, p: 4}? SOLUTION: probability PROBLEM: What is the third root of 102 to the nearest integer? SOLUTION: arithmetic PROBLEM: Suppose 2*n + 2*n = 4. Suppose -n = f - 2. What is the highest common divisor of f and 5? SOLUTION:
numbers
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Suppose -7 - 3 = -k - 3*x, k - 2*x - 10 = 0. Let w be 8/20 - (-46)/k. Let r(m) = 5*m - 5. Let l be r(w). Calculate the greatest common divisor of 50 and l. Answer:
numbers
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: What is 13/4 of a microgram in nanograms? A:
measurement
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Three letters picked without replacement from mwwswwmswmuummwwmwww. What is prob of sequence usm? probability Let w = 0 - -1. Suppose 90 = 5*q + 5*n, -2*q - 4*n + 0*n = -30. Suppose 4*c = 3*h - 2*h + 9, 5*h + 2*c - q = 0. Solve -w - h = -4*g - z, 4*g - 4 = -4*z for g. algebra Suppose 5*r - c = 16, 3*r - 2*c = 3 + 8. Solve 3*i - 8 - 1 = 0, -4*f - r*i = 3 for f.
algebra
0
NIv2
task834_mathdataset_classification
fs_opt
TASK DEFINITION: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. PROBLEM: Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {e: 8, g: 3, v: 2, w: 3}. SOLUTION: probability PROBLEM: Suppose -3*w + 30 = 2*i, 4*i - 7*i = 0. Solve 2*o + 7*a + w = 4*a, -5*o - 14 = 2*a for o. SOLUTION: algebra PROBLEM: Let d = -24 - -38. What is the tens digit of d? SOLUTION:
numbers
8
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Two letters picked without replacement from hjqqqqmqmm. What is prob of picking 2 q? Solution:
probability
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. One example is below. Q: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. A: algebra Rationale: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: Calculate prob of sequence og when two letters picked without replacement from xowwwwoowokgogw. A:
probability
9
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Calculate prob of sequence az when two letters picked without replacement from {a: 2, z: 10}. Answer:
probability
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: Suppose -3*u + n = -2*n - 432, 5*u + 4*n - 720 = 0. What is the greatest common divisor of u and 12? A:
numbers
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Input: Consider Input: How many millilitres are there in 49.51404l? Output: measurement Input: Consider Input: Let o be -12*-2*(-3)/(-24). What is the highest common factor of o and 33? Output: numbers Input: Consider Input: Calculate prob of sequence az when two letters picked without replacement from {a: 2, z: 10}.
Output: probability
2
NIv2
task834_mathdataset_classification
fs_opt
TASK DEFINITION: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. PROBLEM: What is prob of picking 3 m when three letters picked without replacement from ymyymtmyyymvymmvyymm? SOLUTION: probability PROBLEM: Total of 0.0149 and 0.8. SOLUTION: arithmetic PROBLEM: Calculate the common denominator of -2 + (-249)/(-6) - -4 and 15/7. SOLUTION:
numbers
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [Q]: Solve 2*m + h - 15 = 0, 35 = 2*m + 2*h + 3*h for m. [A]: algebra [Q]: Two letters picked without replacement from {z: 7, a: 6, r: 1, y: 4, j: 2}. What is prob of sequence az? [A]: probability [Q]: Suppose 0 = -2*v - r + 3, 2 - 11 = -5*v - r. Solve s - v = 3*g, s = -2 + 1 for g. [A]:
algebra
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Calculate -0.2865*-2. arithmetic How many decades are there in 17/4 of a millennium? measurement Let h = -3 - -5. Suppose -3*t + 3*p + 3 = -p, -p = -2*t + h. Let i be 1*(2 - 0) - t. Solve -2*l - i = -l for l.
algebra
0
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Solve 3*x - 3 = -0*f - 2*f, -4*f + 4*x = 4 for f. algebra What is the product of -0.4 and -6.6? arithmetic What is next in 4, 8, 14, 22, 32, 44, 58?
algebra
0
NIv2
task834_mathdataset_classification
fs_opt
Part 1. Definition You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Part 2. Example Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Answer: algebra Explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Part 3. Exercise Let h = -3 - -5. Suppose -3*t + 3*p + 3 = -p, -p = -2*t + h. Let i be 1*(2 - 0) - t. Solve -2*l - i = -l for l. Answer:
algebra
7
NIv2
task834_mathdataset_classification
fs_opt
Teacher: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Teacher: Now, understand the problem? If you are still confused, see the following example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Reason: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this instance: Solve 5*a = -2*h + 15, 0 = -2*h + 6*a - 2*a - 12 for h. Student:
algebra
2
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example Input: What is next in -632, -629, -626, -623? Example Output: algebra Example Input: Three letters picked without replacement from {y: 5, u: 5, e: 1, x: 2, l: 3}. Give prob of picking 1 y and 2 u. Example Output: probability Example Input: What is 124 times 1.9? Example Output:
arithmetic
3
NIv2
task834_mathdataset_classification
fs_opt
Teacher: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Teacher: Now, understand the problem? If you are still confused, see the following example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Reason: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this instance: What is the third root of 8872 to the nearest integer? Student:
arithmetic
2
NIv2
task834_mathdataset_classification
fs_opt
instruction: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. question: What is 12/(-96)*2*1? answer: arithmetic question: In base 16, what is -ad + 3? answer: arithmetic question: Solve 5*a = -2*h + 15, 0 = -2*h + 6*a - 2*a - 12 for h. answer:
algebra
9
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: Let l(z) be the third derivative of z**5/60 - z**4/24 - z**3/2 - 2*z**2. Let h be l(3). Suppose 16 = h*w + 1. What is the units digit of w? A:
numbers
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example input: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Example output: algebra Example explanation: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Q: How many millilitres are there in fifty-five halves of a litre? A:
measurement
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Input: Consider Input: Calculate prob of sequence xad when three letters picked without replacement from {x: 3, a: 3, d: 4, g: 1}. Output: probability Input: Consider Input: Let w be -2 + (0 - -1*2). Let d be (80/(-5))/(2/(-2)). Suppose -2*q - q + 31 = -5*r, w = -2*q - 4*r - d. What is the units digit of q? Output: numbers Input: Consider Input: Four letters picked without replacement from {w: 2, r: 11}. What is prob of picking 1 w and 3 r?
Output: probability
2
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: How many nanometers are there in nine tenths of a micrometer? Output:
measurement
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. -------- Question: What is (-5)/2*(-136)/170? Answer: arithmetic Question: What is eleven halves of a litre in millilitres? Answer: measurement Question: What is 2 + -10 + 1 - (-11 + 8)? Answer:
arithmetic
7
NIv2
task834_mathdataset_classification
fs_opt
instruction: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. question: What is 3638 to the power of 1/2, to the nearest integer? answer: arithmetic question: Solve -4*u + 63 = 71 for u. answer: algebra question: 1067*0.5 answer:
arithmetic
9
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example Input: How many nanograms are there in 2155.172 kilograms? Example Output: measurement Example Input: Let h = 16 - 3. Suppose -x - 11 = 3*x + 3*g, x - 6 = g. Let m = x + h. What is the units digit of m? Example Output: numbers Example Input: What is prob of sequence rrr when three letters picked without replacement from bbbrbbbbbwrrwrrrrr? Example Output:
probability
3
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [Q]: What is the units digit of ((-7)/14)/((-2)/228)? [A]: numbers [Q]: Let h = 16 - 3. Suppose -x - 11 = 3*x + 3*g, x - 6 = g. Let m = x + h. What is the units digit of m? [A]: numbers [Q]: Two letters picked without replacement from {n: 2, p: 1, s: 1, c: 2, d: 1, u: 1}. Give prob of sequence sc. [A]:
probability
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [EX Q]: Let g = 3 - -7. Let f(h) = 9*h**2 + 14*h + 2. Let s be f(-4). Calculate the highest common factor of s and g. [EX A]: numbers [EX Q]: What is the value of ((-50)/(-30))/(2/6)? [EX A]: arithmetic [EX Q]: What is prob of sequence bwb when three letters picked without replacement from bsswbsbbbbsbbbwwbd? [EX A]:
probability
6
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: -774 divided by -3 Output:
arithmetic
1
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: Four letters picked without replacement from oikkxxooxkoxkxk. What is prob of picking 4 x? Answer:
probability
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [Q]: Let i = 18 + -12. What is the greatest common factor of 2 and i? [A]: numbers [Q]: Solve -4*u + 63 = 71 for u. [A]: algebra [Q]: Two letters picked without replacement from zmczmzizvavc. What is prob of picking 1 i and 1 z? [A]:
probability
5
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Let me give you an example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. The answer to this example can be: algebra Here is why: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. OK. solve this: What is the product of 34 and -0.44? Answer:
arithmetic
8
NIv2
task834_mathdataset_classification
fs_opt
Teacher: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Teacher: Now, understand the problem? If you are still confused, see the following example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Reason: This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. Now, solve this instance: Two letters picked without replacement from qkqkxqkqq. What is prob of sequence kx? Student:
probability
2
NIv2
task834_mathdataset_classification
fs_opt
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Solution: algebra Why? This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input: Suppose 0 = -3*i - i - 4. Let n(q) = -9*q**2 - q - 1. Let u be n(i). What is the lowest common multiple of 8 and (-6)/u*(33 + 0)? Solution:
numbers
0
NIv2
task834_mathdataset_classification
fs_opt
Given the task definition, example input & output, solve the new input case. You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. Example: Suppose -d - 13 = -n - 0, 0 = 2*d + 2. Solve 2*x = -10 + n for x. Output: algebra This is a system of three linear equations, clearly an 'algebra' question. Standard methods of solving linear equations can be used to obtain the solution. New input case for you: Let s(o) = -9*o + 2. What is the remainder when s(-3) is divided by 17? Output:
numbers
1
NIv2
task834_mathdataset_classification
fs_opt
TASK DEFINITION: You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. PROBLEM: Suppose -3*w + 30 = 2*i, 4*i - 7*i = 0. Solve 2*o + 7*a + w = 4*a, -5*o - 14 = 2*a for o. SOLUTION: algebra PROBLEM: What is 5611 to the power of 1/3, to the nearest integer? SOLUTION: arithmetic PROBLEM: -774 divided by -3 SOLUTION:
arithmetic
8
NIv2
task834_mathdataset_classification
fs_opt
You are supposed to identify the category of a high-school level math question. There are five possible categories (1) algebra (2) arithmetic (3) measurement (4) numbers, and (5) probability. Use the following guidelines: (1) 'algebra' questions will typically contain letter variables and will ask you to find the value of a variable (2) 'arithmetic' questions will ask the sum, difference, multiplication, division, power, square root or value of expressions involving brackets (3) 'measurement' questions are questions that ask to convert a quantity from some unit to some other unit (4) 'numbers' questions will be about bases, remainders, divisors, GCD, LCM etc. (5) 'probability' questions will ask about the probability of the occurrence of something. A question must belong to only one category. [Q]: Let p be -2*(-4 - (-5)/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3/(-2))/(6/(-32)). Solve 0*v + n = -b*v for v. [A]: algebra [Q]: What is fifty-five halves of a litre in millilitres? [A]: measurement [Q]: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 6, m: 7, c: 2}. [A]:
probability
5
NIv2
task834_mathdataset_classification
fs_opt
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