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{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': \"Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted.... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn triangle $ABC$, $\\\\sin \\\\angle A = \\\\frac{4}{5}$ and $\\\\angle A < 90^\\\\circ$. Let $D$ be ... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nLet $ABCD$ be a unit square in the plane. Points $X$ and $Y$ are chosen independently and uniformly at... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nLet $a, b, c$ be distinct numbers such that the equations $x^2 + ax + 1 = 0$ and $x^2 + bx + c = 0$ ha... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nThere are $7$ boxes arranged in a row and numbered $1$ through $7$. You have a stack of $2015$ cards, ... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nLet $S$ be the set of triples $(a,b,c)$ of non-negative integers such that $a+b+c$ is even. The value ... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nFor which $n$ is $n^4 + 6n^3 + 11n^2 + 3n + 31$ a perfect square?\\n\\nRemember to put your answer on ... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nFour positive integers $a, b, c, d$ satisfy the condition $a < b < c < d$. Determine the smallest poss... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\n$n$ coins are arranged in a circle. If two neighboring coins both show heads or both show tails, you c... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nDetermine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$.\... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "[{'content': 'Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nSuppose you have a sphere tangent to the $xy$-plane with its center having a positive $z$-coordinate. ... | BytedTsinghua-SIA/DAPO-Math-17k | default | train |
[
{
"content": "In triangle $ABC$, $\\sin \\angle A = \\frac{4}{5}$ and $\\angle A < 90^\\circ$. Let $D$ be a point outside triangle $ABC$ such that $\\angle BAD = \\angle DAC$ and $\\angle BDC = 90^\\circ$. Suppose that $AD = 1$ and that $\\frac{BD}{CD} = \\frac{3}{2}$. If $AB + AC$ can be expressed in the form ... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Let $ABCD$ be a unit square in the plane. Points $X$ and $Y$ are chosen independently and uniformly at random on the perimeter of $ABCD$. If the expected value of the area of triangle $\\triangle AXY$ can be expressed as $\\frac{m}{n}$ for relatively prime positive integers $m$ and $n$, compute $m... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Let $a, b, c$ be distinct numbers such that the equations $x^2 + ax + 1 = 0$ and $x^2 + bx + c = 0$ have a common real root, and the equations $x^2 + x + a = 0$ and $x^2 + cx + b = 0$ also have a common real root. Compute the sum $a + b + c$.",
"role": "user"
},
{
"content": "{'ground_... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "There are $7$ boxes arranged in a row and numbered $1$ through $7$. You have a stack of $2015$ cards, which you place one by one in the boxes. The first card is placed in box $1$, the second in box $2$, and so forth up to the seventh card which is placed in box $7$. You then start working back in ... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Let $S$ be the set of triples $(a,b,c)$ of non-negative integers such that $a+b+c$ is even. The value of the sum\n\\[ \\sum_{(a,b,c) \\in S} \\frac{1}{2^a 3^b 5^c} \\]\ncan be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Compute $m+n$.",
"role": "user"... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "For which $n$ is $n^4 + 6n^3 + 11n^2 + 3n + 31$ a perfect square?",
"role": "user"
},
{
"content": "{'ground_truth': '10', 'style': 'rule-lighteval/MATH_v2'}",
"role": "assistant"
}
] | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Four positive integers $a, b, c, d$ satisfy the condition $a < b < c < d$. Determine the smallest possible value of $d$ such that the arithmetic mean of the numbers $a, b, c$ is half of the arithmetic mean of the numbers $a, b, c, d$.",
"role": "user"
},
{
"content": "{'ground_truth': ... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "$n$ coins are arranged in a circle. If two neighboring coins both show heads or both show tails, you can flip both coins. How many distinct arrangements of the coins are there such that no arrangement can be transformed into another by performing these operations?",
"role": "user"
},
{
... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Determine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$.",
"role": "user"
},
{
"content": "{'ground_truth': '509', 'style': 'rule-lighteval/MATH_v2'}",
"role": "assistant"
}
] | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Suppose you have a sphere tangent to the $xy$-plane with its center having a positive $z$-coordinate. If it is projected from a point $P=(0,b,a)$ to the $xy$-plane, it gives the conic section $y=x^2$. If we write $a=\\frac{p}{q}$ where $p$ and $q$ are integers, find $p+q$.",
"role": "user"
}... | open-r1/DAPO-Math-17k-Processed | default | train |
[
{
"content": "Given a group of \\( N \\) balls consisting of \\( C \\) colors, where the number of balls in each color is represented as \\( n_1, n_2, \\ldots, n_C \\) (with \\( n_1 + n_2 + \\ldots + n_C = N \\)), what is the probability that when \\( A \\) balls are randomly picked (where \\( A \\leq N \\)), t... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "How many lines can be drawn that are equidistant from \\( n \\) given points in the plane?",
"role": "user"
},
{
"content": "<think>\nOkay, so the problem is asking how many lines can be drawn that are equidistant from n given points in the plane. Hmm, let me try to wrap my head around... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Find all functions \\( f: \\mathbb{R} \\to \\mathbb{R} \\) such that\n\\[\n(f(x^2) + f(xy) + f(y^2))(x - y) = f(x^3) - f(y^3)\n\\]\nfor all \\( x, y \\in \\mathbb{R} \\).",
"role": "user"
},
{
"content": "<think>\nOkay, let's try to solve this functional equation problem. The equation ... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Find the sum of the roots of the equation \\((x+6)^{1/3} + (x-2)^{1/2} = 2\\).",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to find the sum of the roots of the equation \\((x+6)^{1/3} + (x-2)^{1/2} = 2\\). Hmm, roots are the solutions for x that satisfy this equat... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Determine how many 1000 digit numbers \\( A \\) have the property that when any digit of \\( A \\), aside from the first, is deleted to form a 999 digit number \\( B \\), then \\( B \\) divides \\( A \\).",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out how many... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Calculate the integral\n\n\\[\n\\int^{\\frac{3\\pi}{2}}_{\\frac{\\pi}{2}} \\left|\\left(\\frac{2}{x^3}+\\frac{1}{x}\\right)\\sin x\\right|dx\n\\]",
"role": "user"
},
{
"content": "<think>\nOkay, let me try to solve this integral. So the problem is to compute the integral from π/2 to 3π... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "In $\\triangle ABC$ with incenter $I$, points $P$ and $Q$ are on side $BC$ such that $AP$ and $AQ$ are isogonal conjugates with respect to $\\angle BAC$. The tangent line at $B$ of $\\odot (ABP)$ and the tangent line at $C$ of $\\odot (ACQ)$ intersect at $D$. Let $E = AP \\cap IB$ and $F = AQ \\ca... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Let \\( x_0 = 1 \\), and \\( x_{n+1} = 2x_n + \\sqrt{3x_n^2 - 2} \\). Determine \\( x_{2016} \\).",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. The problem is about a recursive sequence where x₀ is 1, and each subsequent term is defined by x_{n+1} = 2x_n + sqrt(3x_n² - 2)... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Which is greater, $\\sqrt[2012]{2013!}$ or $\\sqrt[2013]{2012!}$?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out whether the 2012th root of 2013 factorial is greater than the 2013th root of 2012 factorial, or vice versa. Let's see, this seems like a problem wh... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "On average, how long will you have to flip a coin to get the sequence $HTHT$?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out the expected number of coin flips needed to get the sequence HTHT. Hmm, Markov chains maybe? Or recursion? Let me think.\n\nFirst, I re... | nvidia/OpenMathReasoning | default | cot |
[
{
"content": "Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?",
"role": "user"
},
{
"content": "128",
"role": "assistant"... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Let $ \\mathcal{H}$ be an infinite-dimensional Hilbert space, let $ d>0$ , and suppose that $ S$ is a set of points (not necessarily countable) in $ \\mathcal{H}$ such that the distance between any two distinct points in $ S$ is equal to $ d$ . Show that there is a point $ y\\in\\mathca... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Find the remainder when $9 \\times 99 \\times 999 \\times \\cdots \\times \\underbrace{99\\cdots9}_{\\text{999 9's}}$ is divided by $1000$ .",
"role": "user"
},
{
"content": "109",
"role": "assistant"
}
] | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Compute the mean molecular speed v in the heavy gas radon (Rn) in m/s",
"role": "user"
},
{
"content": "167.0",
"role": "assistant"
}
] | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Two capacitors with capacitance values $C_{1}=2000 \\pm 10 \\mathrm{pF}$ and $C_{2}=3000 \\pm 15 \\mathrm{pF}$ are connected in series. The voltage applied across this combination is $V=5.00 \\pm 0.02 \\mathrm{~V}$. What is the percentage error in the calculation of the energy stored in this combi... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "One base of a trapezoid is $100$ units longer than the other base. The segment that joins the midpoints of the legs divides the trapezoid into two regions whose areas are in the ratio $2: 3$ . Let $x$ be the length of the segment joining the legs of the trapezoid that is parallel to the bases and ... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Let's say a language $L \\subseteq \\{0,1\\}^*$ is in $\\textbf{P}_{angel}$ if there exists a polynomial $p : \\mathbb{N} \\mapsto \\mathbb{N}$ , a sequence of strings $\\{\\alpha_n\\}_{n \\in \\mathbb{N}}$ with $\\alpha_n \\in \\{0,1\\}^{p(n)}$ , and a deterministic polynomial time Turing... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "In a mathematics test number of participants is $N < 40$ . The passmark is fixed at $65$ . The test results are\nthe following: \nThe average of all participants is $66$ , that of the promoted $71$ and that of the repeaters $56$ . \nHowever, due to an error in the wording of a question, all ... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Kathy has $5$ red cards and $5$ green cards. She shuffles the $10$ cards and lays out $5$ of the cards in a row in a random order. She will be happy if and only if all the red cards laid out are adjacent and all the green cards laid out are adjacent. For example, card orders RRGGG, GGGGR, or RRRRR... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "Square $AIME$ has sides of length $10$ units. Isosceles triangle $GEM$ has base $EM$ , and the area common to triangle $GEM$ and square $AIME$ is $80$ square units. Find the length of the altitude to $EM$ in $\\triangle GEM$ .",
"role": "user"
},
{
"content": "25",
"role": "assis... | simplescaling/s1K-1.1 | default | train |
[
{
"content": "You are given a list of `n` tasks, each represented as a tuple `(start, end)`, indicating the start and end times of the task. The tasks are sorted by their start times. Your goal is to determine the maximum number of non-overlapping tasks that can be selected. Two tasks are considered non-overlap... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given a string `expression` consisting of characters including parentheses `()`, square brackets `[]`, and curly braces `{}`. Your task is to determine if the brackets in the expression are balanced. A string with balanced brackets means that each opening bracket has a corresponding closin... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given a string `text` consisting of lowercase letters and spaces. Your task is to implement a function `count_words` that returns a dictionary with the frequency of each word in the string, excluding common stop words: 'the', 'and', 'a', 'an', 'in', 'on', 'at', 'by', 'for', and 'with'. Ass... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given a nested list structure containing integers and other nested lists. Your task is to write a recursive function named `flatten_list` that takes this nested list as input and returns a new list with all the integers in a flat structure. The order of elements in the output list should b... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given a list of integers `numbers`. Your task is to implement a function `find_mode` that determines the mode of the list, which is the element that appears most frequently. In the event of a tie, where multiple elements share the highest frequency, return the smallest of these elements. I... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are tasked with implementing a function named `factorial` that calculates the factorial of a non-negative integer `n`. The factorial of a non-negative integer `n` is the product of all positive integers less than or equal to `n`. By definition, the factorial of 0 is 1. Your function should rai... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are tasked with implementing a `BankAccount` class in Python that simulates basic bank account operations. The class should support the following functionalities:\n\n- **Initialization**: The account balance should start at zero.\n- **Deposit**: Add a specified amount to the account balance. O... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given a string `text` and a list of integers `positions`. Your task is to implement a function `remove_chars_at_positions` that removes characters from `text` at the indices specified in `positions`. The function should return the modified string. Assume that all positions in the list are ... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are tasked with implementing a function `generate_report` that processes a list of sales data. Each sale is represented as a dictionary with keys `product`, `quantity`, and `price`. Your function should compute and return a string summarizing the total quantity sold and the total revenue gener... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "You are given two sorted lists of integers, `list1` and `list2`. Your task is to merge these two lists into a single sorted list. You must not use any built-in sorting functions or similar utilities. \n\n**Input:**\n- Two sorted lists of integers, `list1` and `list2`.\n\n**Output:**\n- A single so... | nvidia/OpenCodeInstruct | default | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | tokyotech-llm/swallow-math-v2 | swallow-math-v2-qa | train |
[
{
"content": "Find all the roots (both real and imaginary) of the equation \\( f(x) = 2x^4 - 6x^3 - 70x^2 - 30x - 400 \\).",
"role": "user"
},
{
"content": "<think>Okay, so I need to find all the roots, both real and imaginary, of the quartic equation f(x) = 2x⁴ - 6x³ - 70x² - 30x - 400. Hmm, quarti... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Find $\\lim_{x \\rightarrow 0} \\left( \\frac{\\arcsin x}{x} \\right)^{\\frac{1}{x^2}}$.",
"role": "user"
},
{
"content": "<think>Okay, so I need to find the limit as x approaches 0 of (arcsin(x)/x) raised to the power of 1/x². Hmm, that seems a bit complicated. Let me break it down. \... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Let the function \\( f \\) be defined by the expression \\( f(x) = e^{ \\ln x + \\ln(x-1) + \\ldots + \\ln 1} \\). There are 200 people at a party. Express the number of handshakes at the party in terms of a relation of several values of \\( f(x) \\).",
"role": "user"
},
{
"content": "... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Find all triples \\((x, y, z)\\) of integers such that \\(x^3 + y^3 + z^3 = x + y + z = 3\\).",
"role": "user"
},
{
"content": "<think>Okay, so I need to find all triples of integers (x, y, z) such that both x + y + z = 3 and x³ + y³ + z³ = 3. Hmm, let's think about how to approach thi... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Ron will take a trip by train and make connections at stations 1, 2, 3, and 4. Each time he makes a good connection at 1, 2, or 3, the probability of making a good connection at the next station is ¾ (thus the probability of not making a good connection is ¼); each time he makes a bad connection a... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "If \\( M = \\begin{bmatrix} \\frac{5}{2} & \\frac{3}{2} \\\\ -\\frac{3}{2} & -\\frac{1}{2} \\end{bmatrix} \\), find the value of \\( M^{2022} \\).",
"role": "user"
},
{
"content": "<think>Okay, so I need to find M raised to the power of 2022. That seems like a huge exponent! Direct com... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Find all values of $m$ such that $x-2$ is a factor of $x^3 + 3m^2x^2 + mx + 4$.",
"role": "user"
},
{
"content": "<think>Okay, so I need to find all values of m such that (x - 2) is a factor of the polynomial x³ + 3m²x² + mx + 4. Hmm, let's start by recalling the Factor Theorem. The Fa... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Triangle $ABC$ has a right angle at $B$. Points $D$ and $E$ are chosen on $\\overline{AC}$ and $\\overline{BC}$, respectively, such that $AB = BE = ED = DC = 2$. Find the area of $\\triangle CDE$.",
"role": "user"
},
{
"content": "<think>Okay, let's try to solve this geometry problem. ... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Find all powers of $2$ such that after deleting the first digit of its decimal representation, the remaining number is also a power of $2$.",
"role": "user"
},
{
"content": "<think>Okay, so I need to find all powers of 2 such that when I delete the first digit of the number, the remain... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "Find all positive integers $n$ such that $\\lfloor \\sqrt{n} \\rfloor - 1$ divides $n + 1$ and $\\lfloor \\sqrt{n} \\rfloor + 2$ divides $n + 4$.",
"role": "user"
},
{
"content": "<think>Okay, let's tackle this problem step by step. The question is asking for all positive integers n su... | nvidia/OpenMathReasoning | default | tir |
[
{
"content": "You will be given a challenging math problem followed by 3 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 4 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 2 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 4 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 4 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 2 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 2 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 3 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 6 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
[
{
"content": "You will be given a challenging math problem followed by 2 solutions. Your task is to systematically analyze these solutions to identify the most mathematically sound approach.\n\nInput Format:\nProblem: A complex mathematical word problem at advanced high school or college level\nSolutions: Detai... | nvidia/OpenMathReasoning | default | genselect |
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