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DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 0, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "98", "style": "rule" }
{ "index": 1, "split": "train" }
[ "To solve this problem, we need to translate the given information into mathematical equations and then solve those equations.\n\n1. Let the number of band members be \\( n \\). We know \\( n < 100 \\).\n2. In the first formation, there are \\( r \\) rows with \\( m \\) members each, and 2 members left over. So, \\...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 2, "split": "train" }
[ "To find the degree of the polynomial, we first need to identify the term with the highest power of x. In this polynomial, the terms are $5x^3$, $2\\pi x^4$, and $\\sqrt{10}x^4$. We can ignore the constants $4$, $100$, and $9$ as they have no x terms.\n\nThe term $5x^3$ has a power of 3, the term $2\\pi x^4$ has a ...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "17", "style": "rule" }
{ "index": 3, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 4, "split": "train" }
[ "The user's question seems to involve determining how many days Sam did not work during a 20-day period based on his earnings. To solve this, we can follow these steps:\n\n1. Determine the total earnings if Sam worked every day.\n2. Calculate the difference between the total earnings if he worked every day and the ...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "(3, -1)", "style": "rule" }
{ "index": 5, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "[0,3)", "style": "rule" }
{ "index": 6, "split": "train" }
[ "To find all values of $p$ such that for every $q>0$, we have\n$$\\frac{3(pq^2+p^2q+3q^2+3pq)}{p+q}>2p^2q,$$\nlet's first simplify the inequality:\n$$3(pq^2+p^2q+3q^2+3pq) > 2p^2q(p+q).$$\nExpanding and rearranging terms, we get:\n$$3pq^2+3p^2q+9q^2+9pq > 2p^3q+2p^2q^2.$$\nRearranging all terms to one side of the i...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "\\$42409", "style": "rule" }
{ "index": 9, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "0", "style": "rule" }
{ "index": 10, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "k = \\frac{-33}{2}", "style": "rule" }
{ "index": 11, "split": "train" }
[ "User: A school is getting ready to open for the year and needs to order desks. They need 22 desks for the classroom, 10 desks for the computer lab, and 10 desks for the office. The classroom desks cost $50 each, the computer lab desks cost $75 each, and the office desks cost $100 each. What is the total cost of al...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "10\\frac{1}{12}", "style": "rule" }
{ "index": 16, "split": "train" }
[ "User: What is the value of $\\tan 60^\\circ$? <think> To find the value of \\(\\tan 60^\\circ\\), we can use the properties of a 30-60-90 triangle. In a 30-60-90 triangle, the sides are in the ratio \\(1 : \\sqrt{3} : 2\\). The side opposite the 60-degree angle is \\(\\sqrt{3}\\) times the length of the side oppos...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "\\frac{1}{2}", "style": "rule" }
{ "index": 17, "split": "train" }
[ "Assistant: To ensure that the graph of \\( y = f(x) \\) is continuous at \\( x = 2 \\), the left-hand limit as \\( x \\) approaches 2 must equal the right-hand limit as \\( x \\) approaches 2, and both must equal \\( f(2) \\).\n\n1. Calculate \\( f(2) \\) using the first part of the piecewise function:\n\\[ f(2) =...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "10", "style": "rule" }
{ "index": 18, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
DigitalLearningGmbH/MATH-lighteval-r1
[ { "content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ...
math
{ "ground_truth": "45", "style": "rule" }
{ "index": 19, "split": "train" }
[ "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respect...
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