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Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Two letters picked without replacement from {x: 8, p: 5, a: 7}. Give prob of sequence xa. A:
14/95
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: What is 5.711975 hours in minutes? A: 342.7185 **** Q: What is prob of picking 3 m when three letters picked without replacement from ymyymtmyyymvymmvyymm? A: 14/285 **** Q: Two letters picked without replacement from {x: 8, p: 5, a: 7}. Give prob of sequence xa. A:
14/95 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: 560/(-320) - (2*-2 + 2) [A]: 1/4 [Q]: Convert 0.0050227 centuries to months. [A]: 6.02724 [Q]: What is 0.416 take away 0.13? [A]:
0.286
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Detailed Instructions: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). See one example below: Problem: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Problem: Three letters picked without replacement from bbrtbrububtbjutbu. Give prob of sequence tbr. Solution:
7/680
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 2, f: 4, a: 1, x: 1, d: 3, p: 4}? Solution:
2/35
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: How many millennia are there in 555.8429 years? A:
0.5558429
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Solve -27*c + 116 = -46 for c. A: 6 **** Q: What comes next: -27, -49, -73, -99? A: -127 **** Q: Suppose 26 = -b + 4*j, -2*b + 3*j - 42 = b. Let q(h) = -h**2 - 11*h + 4. What is the units digit of q(b)? A:
4 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: What is the square root of 2448 to the nearest integer? [A]: 49 [Q]: Let f(c) = 53*c + 6. Let p be f(3). What is the highest common divisor of p and 15? [A]: 15 [Q]: Evaluate (-1)/(13/(-84 + 6)). [A]:
6
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Evaluate (-1)/(13/(-84 + 6)). A:
6
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: How many meters are there in 13/4 of a kilometer? Solution:
3250
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [EX Q]: Four letters picked without replacement from vvvvvv. Give prob of picking 4 v. [EX A]: 1 [EX Q]: How many grams are there in sixty-one halves of a kilogram? [EX A]: 30500 [EX Q]: What is 8966 to the power of 1/7, to the nearest integer? [EX A]:
4
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Suppose 0 = -6*r + 5*r + 47. Let c(q) = -q + 4. Let j be c(0). Suppose 5*w = -5*u - 0*u + 105, -5*w = j*u - 89. Calculate the remainder when r is divided by u. A:
15
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Detailed Instructions: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). See one example below: Problem: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Problem: What is 0.3799377 weeks in minutes? Solution:
3829.772016
4
NIv2
task835_mathdataset_answer_generation
fs_opt
TASK DEFINITION: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). PROBLEM: How many centimeters are there in three tenths of a meter? SOLUTION: 30 PROBLEM: Let q = 11 + -7. Let o(n) = -n**3 + 11*n**2 + 12*n + 3. Let v be o(12). Let w(f) = -f**2 + 6*f - 4. Let i be w(4). Solve -v*l = -i*l + q for l. SOLUTION: 4 PROBLEM: Suppose -5*q + 110 = -0*q. What is the remainder when 63 is divided by q? SOLUTION:
19
8
NIv2
task835_mathdataset_answer_generation
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. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Why? Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input: Suppose -5*q + 110 = -0*q. What is the remainder when 63 is divided by q? Solution:
19
0
NIv2
task835_mathdataset_answer_generation
fs_opt
Part 1. Definition Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Part 2. Example Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Answer: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Part 3. Exercise Solve 10 = 972*z - 970*z for z. Answer:
5
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. 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:
10
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: How many micrograms are there in one tenth of a milligram? A: 100 **** Q: Suppose 2*g = 7*g - 16110. Let p = g - 70911/22. Calculate the common denominator of p and 55/6. A: 66 **** Q: Two letters picked without replacement from hjhwxjjhwhzuux. Give prob of sequence uh. A:
4/91 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. OK. solve this: Three letters picked without replacement from {m: 4, l: 3, w: 2, s: 3, j: 6, f: 1}. Give prob of sequence fjl. Answer:
1/323
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). -------- Question: What is prob of sequence ip when two letters picked without replacement from ipkkkppkiiiiiikkpk? Answer: 14/153 Question: Let u(f) = 2*f**2 - 5*f + 7. What is the remainder when u(7) is divided by 12? Answer: 10 Question: What is the next term in 8, 38, 82, 134, 188, 238, 278, 302? Answer:
304
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Part 1. Definition Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Part 2. Example Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Answer: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Part 3. Exercise What is 15/4 of a millisecond in microseconds? Answer:
3750
7
NIv2
task835_mathdataset_answer_generation
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. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Why? Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input: What is the third root of 27434 to the nearest integer? Solution:
30
0
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Ex Input: Suppose 2*w - 3*h + 5 = 2*h, -h = 4*w - 1. Suppose w = 3*j - 9, -z + 17 = 5*j + 2. Suppose -3*n + 62 - 23 = z. What is the greatest common divisor of n and 117? Ex Output: 13 Ex Input: What is thirteen quarters of a litre in millilitres? Ex Output: 3250 Ex Input: Let i(x) = -x + 43. Suppose -4*g - 4*q = -64, 4*g - 7*q = -3*q + 24. What is the remainder when i(0) is divided by g? Ex Output:
10
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). -------- Question: What is ((-104)/(-182))/((-12)/14)? Answer: -2/3 Question: Let a be 2/(3 + (-26)/10). Let x be ((-6)/a)/(6/(-320)). What is the units digit of x/6 - 3/(-9)? Answer: 1 Question: What is the third root of 27434 to the nearest integer? Answer:
30
7
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: Solve -12*b = -35*b + 92 for b. answer: 4 question: 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: 0 question: What is thirty-one halves of a microsecond in nanoseconds? answer:
15500
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Input: Consider Input: Solve -k = -4*a + 15, 0 = 6*k - 10*k + a + 15 for k. Output: 5 Input: Consider Input: Let c be (5 + -4)/((-1)/3). What is the tens digit of c - (-6)/3 - -13? Output: 1 Input: Consider Input: What is prob of picking 1 c and 3 u when four letters picked without replacement from acauaacuucucuu?
Output: 80/1001
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). -------- Question: Let v = -7 - -11. Suppose 0 = 5*n + n - 78. Suppose v*a + n = p, -p + 15 = 5*a + 2. What is the tens digit of p? Answer: 1 Question: ((-510)/72)/(-17)*22/11 Answer: 5/6 Question: What is the next term in 298, 595, 892, 1189? Answer:
1486
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Calculate prob of picking 2 l when two letters picked without replacement from hhxxxxlllhxhhxxb. A:
1/40
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Teacher: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Teacher: Now, understand the problem? If you are still confused, see the following example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Reason: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this instance: Let z(f) = -7*f**2 - 7*f + 9. Let c(k) = -6*k**2 - 7*k + 9. Let p(w) = 6*c(w) - 5*z(w). Let j be p(-8). Calculate the greatest common divisor of 8 and j. Student:
1
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [EX Q]: What is 12/(-96)*2*1? [EX A]: -1/4 [EX Q]: What is the units digit of ((-7)/14)/((-2)/228)? [EX A]: 7 [EX Q]: Calculate prob of picking 2 l when two letters picked without replacement from hhxxxxlllhxhhxxb. [EX A]:
1/40
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Let h be (-3)/(-5) - 28/(-20). What is the remainder when 0/(-4) - (h + -17) is divided by 6? Solution:
3
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Let g = 53 - 18. What is the tens digit of g? A:
3
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [EX Q]: Suppose -u = -7 + 1. What is the remainder when 17 is divided by u? [EX A]: 5 [EX Q]: Let x be (36/(-20))/((-3)/15). Let r(z) = z**2 - 8*z - 5. Let h be r(x). Solve -k + w + 0 - 2 = 0, -h*k - 2*w + 22 = 0 for k. [EX A]: 3 [EX Q]: How many nanograms are there in 1/64 of a milligram? [EX A]:
15625
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Input: Consider Input: Three letters picked without replacement from {f: 4, u: 6, g: 7, d: 1}. Give prob of picking 1 f and 2 g. Output: 7/68 Input: Consider Input: Calculate prob of sequence ggrr when four letters picked without replacement from {r: 2, b: 6, t: 6, g: 4}. Output: 1/3060 Input: Consider Input: Convert 606830.4 years to centuries.
Output: 6068.304
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: What is the next term in -147, -149, -151, -153? A: -155 **** Q: Work out 162 * 0.26. A: 42.12 **** Q: Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17. A:
15 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: What is thirteen eighths of a litre in millilitres? A:
1625
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Three letters picked without replacement from csmqmzctcmqzct. What is prob of picking 1 c, 1 m, and 1 q? A: 6/91 **** Q: Suppose -27 = g - 70. What is the units digit of g? A: 3 **** Q: Calculate (((-558)/72)/(-31))/((-2)/(-4)). A:
1/2 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Part 1. Definition Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Part 2. Example Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Answer: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Part 3. Exercise Suppose v + 5 = 10. Suppose -4*b = 4*d - 3*d - 23, -3*b = -v*d. Let h(q) = -q - 1. Let j be h(-4). Solve j = -2*t - d for t. Answer:
-3
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Input: Consider Input: What is 32.79 take away 7? Output: 25.79 Input: Consider Input: How many days are there in 2984923.5 hours? Output: 124371.8125 Input: Consider Input: Suppose 0 = -2*v - r + 3, 2 - 11 = -5*v - r. Solve s - v = 3*g, s = -2 + 1 for g.
Output: -1
2
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: Four letters picked without replacement from {k: 2, m: 16}. Give prob of picking 4 m. answer: 91/153 question: Solve -2*i = -4*x + 1 - 17, 5*i = 5*x + 20 for i. answer: 0 question: Suppose v + 5 = 10. Suppose -4*b = 4*d - 3*d - 23, -3*b = -v*d. Let h(q) = -q - 1. Let j be h(-4). Solve j = -2*t - d for t. answer:
-3
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Let n = -34 + 77. Calculate the remainder when n is divided by 9. A:
7
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Let u = -3 - -5. Suppose 3*p - 8 = -s, 6 = -2*p + 3*s + u*s. Solve p*v + 2 = -0 for v. Solution:
-1
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given the task definition, example input & output, solve the new input case. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Output: -2 Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input case for you: In base 2, what is -100 + -1001100? Output:
-1010000
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Calculate -19 divided by -1. Solution:
19
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Two letters picked without replacement from {d: 1, s: 1, g: 2, y: 1, w: 2}. Give prob of sequence sd. Solution:
1/42
6
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: Suppose 0 = 5*a + 3*q - 104, 0 = 5*a - 0*q - 3*q - 116. Suppose 0 = -b - 3*b + 5*n + 88, b - 3*n - a = 0. Suppose b = -0*f + 2*f. What is the tens digit of f? answer: 1 question: Four letters picked without replacement from arkkallleaakkkra. What is prob of sequence lkak? answer: 5/728 question: What is prob of sequence nrre when four letters picked without replacement from {q: 5, e: 1, r: 2, n: 1, f: 9}? answer:
1/36720
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: Convert 0.5158104 decades to millennia. [A]: 0.005158104 [Q]: Four letters picked without replacement from {t: 6, e: 2}. What is prob of picking 4 t? [A]: 3/14 [Q]: What is the third root of 624 to the nearest integer? [A]:
9
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example Input: Let o(v) = -v**3 - 3*v**2 - 4*v - 6. Let u be o(-4). Suppose 3*q + 11 - u = 0. Solve -5*p = f - 4*p - 6, -3*f + 26 = q*p for f. Example Output: 2 Example Input: Two letters picked without replacement from kip. Give prob of picking 1 i and 1 k. Example Output: 1/3 Example Input: Solve -d + 2*s + 14 = d, 4*d + 8 = -5*s for d. Example Output:
3
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given the task definition, example input & output, solve the new input case. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Output: -2 Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input case for you: Let a(u) = u**2 - 10*u + 10. Suppose 2*d - 7*d + 50 = 0. Calculate the smallest common multiple of a(d) and 16. Output:
80
1
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: Suppose -w = 0, -1 = -m + w + 17. Calculate the highest common factor of m and 45. answer: 9 question: What is 85.89907t in micrograms? answer: 85899070000000 question: Calculate -19 divided by -1. answer:
19
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example Input: Solve -2*i = -4*x + 1 - 17, 5*i = 5*x + 20 for i. Example Output: 0 Example Input: Convert 5396.8g to nanograms. Example Output: 5396800000000 Example Input: Suppose p + 5*c = 491, -3*c + 4*c = p - 521. Suppose 169 = 5*t - p. What is the remainder when t is divided by 35? Example Output:
32
3
NIv2
task835_mathdataset_answer_generation
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. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Why? Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input: What is the cube root of 1055 to the nearest integer? Solution:
10
0
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. OK. solve this: Four letters picked without replacement from cuuectztuwwc. Give prob of picking 1 c, 2 w, and 1 u. Answer:
1/55
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example solution: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Problem: 0.772226 + -0.5
Solution: 0.272226
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: What is 2847 take away 1? [A]: 2846 [Q]: Solve -2*i = -4*x + 1 - 17, 5*i = 5*x + 20 for i. [A]: 0 [Q]: Let n = 57/29 + 159/406. What is the common denominator of 7/16 and n? [A]:
112
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example Input: Multiply 26.6 and 2. Example Output: 53.2 Example Input: Suppose -5*b = -4*l - 14, 3*b + 4 = 6*b + 2*l. Let c(a) be the second derivative of a**3/6 - 2*a**2 + a. What is the remainder when c(7) is divided by b? Example Output: 1 Example Input: Calculate 1 + 364. Example Output:
365
3
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: What is 2896 to the power of 1/8, to the nearest integer? answer: 3 question: What is 2847 take away 1? answer: 2846 question: Solve 3*z + w + 7 = 15, w - 3 = 2*z for z. answer:
1
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Four letters picked without replacement from aaaa. Give prob of sequence aaaa. A:
1
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example Input: What is twenty-nine halves of a hour in seconds? Example Output: 52200 Example Input: Calculate -0.4 - 4148. Example Output: -4148.4 Example Input: How many minutes are there in eleven halves of a day? Example Output:
7920
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. OK. solve this: Let n = 74 - 56. Calculate the highest common divisor of 90 and n. Answer:
18
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: Suppose -4*s - 3 = -47. What is the least common multiple of 21 and s? [A]: 231 [Q]: What is 1.794913 years in millennia? [A]: 0.001794913 [Q]: Let b = 1858057/15 - 123976. Let u = b + 677/6. Find the common denominator of ((-2)/(-3))/(6/14) and u. [A]:
90
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Input: Consider Input: What is four sevenths of a week in days? Output: 4 Input: Consider Input: What comes next: 354, 1412, 3176, 5646, 8822, 12704? Output: 17292 Input: Consider Input: Let i = -28 - -30. Suppose 4*z + 5*k = 200, -i*z + 81 = -k - 33. What is the tens digit of z?
Output: 5
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given the task definition, example input & output, solve the new input case. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Output: -2 Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input case for you: Solve 6*m = 7*m - 4*o - 8, -m + 4 = -2*o for m. Output:
0
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [EX Q]: Let q = 11 + -7. Let o(n) = -n**3 + 11*n**2 + 12*n + 3. Let v be o(12). Let w(f) = -f**2 + 6*f - 4. Let i be w(4). Solve -v*l = -i*l + q for l. [EX A]: 4 [EX Q]: Solve -12*b = -35*b + 92 for b. [EX A]: 4 [EX Q]: Let m = 3 - 2. Let v(x) = x**2 + x - 1. Let b(c) = c**2 + 7*c + 2. Let u(t) = m*b(t) - 2*v(t). Let r be u(5). Solve -s - 6 = -w, 0*s = 3*s + r*w + 4 for s. [EX A]:
-4
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Teacher: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Teacher: Now, understand the problem? If you are still confused, see the following example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Reason: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this instance: Let l = 54 - 41. What is the highest common divisor of 1 and l? Student:
1
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Let b be ((-4)/(-6))/(4/(-6)). Let l be ((b - -1) + 0)*-1. Solve -3*d = 4*x + 2*d + 45, 5*x - 3*d + 10 = l for x. A: -5 **** Q: Convert 66251.83 days to hours. A: 1590043.92 **** Q: Solve 6*m = 7*m - 4*o - 8, -m + 4 = -2*o for m. A:
0 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Calculate 0.1*12.1. 1.21 Let f(c) = 53*c + 6. Let p be f(3). What is the highest common divisor of p and 15? 15 Let y(m) = -m - 3. Let v be y(-6). Suppose v*c = 10 + 8. What is the units digit of c?
6
0
NIv2
task835_mathdataset_answer_generation
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. Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution: -2 Why? Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. New input: Let p be (-1 + -3)*2/(-4). Let j(o) = -o**3 + 3*o**2 - 3*o. Let x be j(p). Let a(t) = -2*t**3 - 2*t**2 + t. Let z be a(x). Solve -18 + z = -3*c for c. Solution:
4
0
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: What is ((8/6)/(-4))/1? [A]: -1/3 [Q]: Suppose -3 = -j - 4. Let h be j + 0 + (4 - 3). What is the units digit of h - -1 - 6*-1? [A]: 7 [Q]: What is 2745 to the power of 1/7, to the nearest integer? [A]:
3
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Calculate the remainder when (465/9)/5*3 is divided by 16. A:
15
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Part 1. Definition Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Part 2. Example Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Answer: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Part 3. Exercise Evaluate 3 + (0 - 4 - (-3 - 2)). Answer:
4
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). -------- Question: Let u be (285/38)/(1/4). Suppose d = 5*x - 3, 0*d = -4*d - 5*x + 13. Solve 0 = 4*n - 3*f - 13 - 18, -5*n + d*f + u = 0 for n. Answer: 4 Question: What comes next: 354, 1412, 3176, 5646, 8822, 12704? Answer: 17292 Question: Let p be (-1 + -3)*2/(-4). Let j(o) = -o**3 + 3*o**2 - 3*o. Let x be j(p). Let a(t) = -2*t**3 - 2*t**2 + t. Let z be a(x). Solve -18 + z = -3*c for c. Answer:
4
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example solution: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Problem: Two letters picked without replacement from {m: 4, y: 2}. Give prob of sequence yy.
Solution: 1/15
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let n(s) = s**2 + 3*s + 2. Let z be n(-2). Suppose z = j + j - 70. Suppose -j - 56 = -t. What is the highest common factor of 13 and t? 13 Let z = 27 - 9. Suppose 2*t = -3*t - 4*l + 38, 4*l = 5*t - 22. What is the highest common divisor of z and t? 6 Calculate the remainder when (465/9)/5*3 is divided by 16.
15
0
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Ex Input: Evaluate (-16)/(-5) - 4/1. Ex Output: -4/5 Ex Input: How many nanometers are there in 21/2 of a micrometer? Ex Output: 10500 Ex Input: Suppose 4*z - 39 = 5. Calculate the remainder when z is divided by 6. Ex Output:
5
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Ex Input: ((-57)/(-456))/((-3)/(-8)) Ex Output: 1/3 Ex Input: What is the next term in 52, 101, 150, 199? Ex Output: 248 Ex Input: What is 3/40 of a milligram in micrograms? Ex Output:
75
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Three letters picked without replacement from {a: 8, u: 11, g: 1}. What is prob of picking 1 a and 2 u? A: 22/57 **** Q: Let k = 5811/122 - 8/61. Let l = 2143/345 + -34/23. Let r = l + -13/45. Calculate the common denominator of k and r. A: 18 **** Q: What is 7/3 of a week in hours? A:
392 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: Suppose 6*l - 22 = 56. Calculate the remainder when 100 is divided by l. [A]: 9 [Q]: How many grams are there in sixty-one halves of a kilogram? [A]: 30500 [Q]: Calculate the common denominator of -2 + (-249)/(-6) - -4 and 15/7. [A]:
14
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: How many nanometers are there in 21/2 of a micrometer? A: 10500 **** Q: What is 12/(-96)*2*1? A: -1/4 **** Q: Solve 5*n + 4 = -16 for n. A:
-4 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Part 1. Definition Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Part 2. Example Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Answer: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Part 3. Exercise Convert 0.9559904cm to kilometers. Answer:
0.000009559904
7
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example Input: 15 + (7 + -17)/1 Example Output: 5 Example Input: Four letters picked without replacement from {m: 5, z: 1, b: 8, h: 4}. Give prob of picking 1 b, 1 z, 1 h, and 1 m. Example Output: 8/153 Example Input: Let d(b) = -b**3 - 4*b**2 + 2. Let t be d(-5). Calculate the highest common factor of t and 27. Example Output:
27
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: What is prob of picking 3 o and 1 z when four letters picked without replacement from zozzzozo? A: 1/14 **** Q: Let g = -89 - -94. Solve 2*i + 1 = -g for i. A: -3 **** Q: Calculate -15690 divided by -5. A:
3138 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
instruction: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). question: Solve 4*s = -t + 10, 7*t + 3*s + 1 = 2*t for t. answer: -2 question: Suppose 0*r = 5*r - 35. What is the units digit of r? answer: 7 question: Four letters picked without replacement from tttytyt. Give prob of sequence tttt. answer:
1/7
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example input: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example output: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Suppose -3 = -j - 4. Let h be j + 0 + (4 - 3). What is the units digit of h - -1 - 6*-1? A:
7
3
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Input: Consider Input: What is thirteen quarters of a litre in millilitres? Output: 3250 Input: Consider Input: How many seconds are there in fifteen quarters of a minute? Output: 225 Input: Consider Input: Evaluate 3 + -5 + (-24)/(-6).
Output: 2
2
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Example solution: -2 Example explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Problem: Let u = -773/2 + 358. Let h be (-526)/66 + (-4)/(-12). Let w = h - -773/22. Find the common denominator of u and w.
Solution: 2
5
NIv2
task835_mathdataset_answer_generation
fs_opt
TASK DEFINITION: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). PROBLEM: Calculate prob of sequence zl when two letters picked without replacement from llllllzl. SOLUTION: 1/8 PROBLEM: What is prob of sequence rrr when three letters picked without replacement from bbbrbbbbbwrrwrrrrr? SOLUTION: 7/102 PROBLEM: How many years are there in 7324.85 centuries? SOLUTION:
732485
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: Calculate 6217*-1. A:
-6217
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Suppose 2*c = 4*c - 24. Calculate the remainder when c is divided by 7. A: 5 **** Q: 560/(-320) - (2*-2 + 2) A: 1/4 **** Q: How many micrometers are there in twenty-one quarters of a millimeter? A:
5250 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. OK. solve this: Solve 0 = 3*v - 3*m - 8 + 5, -5*v - 2*m = -19 for v. Answer:
3
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Ex Input: 329/(-210) - 75/(-45) Ex Output: 1/10 Ex Input: Convert 0.056769 decades to millennia. Ex Output: 0.00056769 Ex Input: Let w(o) = o + 12. Calculate the lowest common multiple of w(10) and 22. Ex Output:
22
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Let w(o) = o + 12. Calculate the lowest common multiple of w(10) and 22. Solution:
22
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example is below. Q: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. A: -2 Rationale: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Q: In base 3, what is 12 - -11020? A:
11102
9
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Q: Let z = 27 - 9. Suppose 2*t = -3*t - 4*l + 38, 4*l = 5*t - 22. What is the highest common divisor of z and t? A: 6 **** Q: What is 32.79 take away 7? A: 25.79 **** Q: In base 3, what is 12 - -11020? A:
11102 ****
4
NIv2
task835_mathdataset_answer_generation
fs_opt
TASK DEFINITION: Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). PROBLEM: Suppose 0*r = 5*r - 35. What is the units digit of r? SOLUTION: 7 PROBLEM: Solve 4*q - 5*s + 0*s + 19 = 0, -2 = -4*q - 2*s for q. SOLUTION: -1 PROBLEM: Solve 0 = 3*v - 3*m - 8 + 5, -5*v - 2*m = -19 for v. SOLUTION:
3
8
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). One example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. Solution is here: -2 Explanation: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. Now, solve this: Suppose -3*b + 0 = -33. What is the smallest common multiple of 4 and b? Solution:
44
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Ex Input: Two letters picked without replacement from uuzzuuuuuuuuuzuu. Give prob of picking 1 u and 1 z. Ex Output: 13/40 Ex Input: Calculate prob of sequence ffff when four letters picked without replacement from {f: 6}. Ex Output: 1 Ex Input: How many grams are there in 71/4 of a kilogram? Ex Output:
17750
1
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [Q]: What is prob of sequence yyy when three letters picked without replacement from eyeeeyyyeeeyyy? [A]: 5/52 [Q]: 0.3539 - 5 [A]: -4.6461 [Q]: Solve -3*d - 14*d - 17 = 0 for d. [A]:
-1
5
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). [EX Q]: 560/(-320) - (2*-2 + 2) [EX A]: 1/4 [EX Q]: 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 A]: 3 [EX Q]: -0.1105*-3 [EX A]:
0.3315
6
NIv2
task835_mathdataset_answer_generation
fs_opt
Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25). Let me give you an example: Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q. The answer to this example can be: -2 Here is why: Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution. OK. solve this: Suppose -12*h + 2496 = -0*h. What is the hundreds digit of h? Answer:
2
8
NIv2
task835_mathdataset_answer_generation
fs_opt
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