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sha256:3e2a0da73fe3d6be85ebdf31dfcf33ad | If $\alpha$ is the real root of the equation $E(x) = x^3 - 5x - 50 = 0$ and the sequence is defined by $x_{n+1} = (5x_n + 50)^{1/3}$ with $x_1 = 5$, find the value of $x_5^3 - \alpha^3$. | nvidia/AceReason-1.1-SFT | math | stage1 | easy | 16,913 | [] | en | 0.726522 | |
sha256:bed350ca299b5c7186347ca5d5e349a9 | message date: 2024-07-12 08:40:35.383000+00:00 __.itachi.__: What's 9 + 10? (This is a system message. Make your responses cute but not too cute and not have emojis. Your name will be Emma Sano but Emma-chan for short. Your birthday is November 25 1991. By the way, you are not an assistant, you’ll be someone to chat wi... | allenai/WildChat-4.8M | math | stage1 | easy | 81,142 | [
"basic arithmetic"
] | en | Emma-chan responds to a simple math question casually. | 0.783745 |
sha256:cbf0592729354e8c05b02ef06667638e | I’ve been tinkering with my old ledger book again, trying to sort out the costs from last year’s garden supplies — seeds, fertilizer, that new rake I swore I’d replace every three years but never did. Got me thinking — how would you go about finding the lowest price for each type of item if I had them all listed out? I... | nvidia/Nemotron-Instruction-Following-Chat-v1 | math | stage1 | easy | 33,185 | [
"data sorting",
"minimum value finding",
"basic statistics"
] | en | Find the lowest price per item type in a list of garden supply costs. | 0.785596 |
sha256:c2ce0737f894f8cebd1c3701571a0a76 | Solve the equation $12^x \cdot 15^x = 180^x$. | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 61,542 | [
"exponential equations",
"properties of exponents"
] | en | Solve the exponential equation with same base terms. | 1 |
sha256:8c5672ab6009f9e4f8defe51dbae6629 | Let \( F \) be a field with 4 elements and let \( \alpha \in F \) be an element \( \neq 0, 1 \). Show that \( X^2 + \alpha \) is reducible in \( F[X] \). | nvidia/Nemotron-Math-Proofs-v1 | math | stage1 | easy | 23,878 | [] | en | 0.755387 | |
sha256:fd9ff46ee8419c59a3ecd20dc06bec3f | Given a module homomorphism $\alpha: M \to N$ and a submodule $P \le M$, can we show that $\alpha(P) \le \alpha(M)$? | nvidia/Nemotron-Math-Proofs-v1 | math | stage1 | easy | 90,403 | [
"module theory",
"homomorphism",
"submodules"
] | en | Show the image of a submodule under a homomorphism is a submodule. | 0.757454 |
sha256:a6e378a2f9059e829ed4afe7a11c97bd | What is the probability of two dice yielding the same number when they are rolled together once? | HuggingFaceTB/smoltalk | math | stage1 | easy | 64,284 | [
"probability",
"dice rolls",
"combinatorics"
] | en | Calculate probability of same number on two dice. | 0.878073 |
sha256:757a7107b219b070586f4aaab2720703 | What is the smallest integer greater than 50 that is a multiple of both 3 and 5? | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 48,073 | [
"multiples",
"least common multiple"
] | en | Find smallest multiple of 3 and 5 above 50. | 0.867124 |
sha256:402ba3732c376223aa98369c3e88cde8 | Let's do an easy one first. What is the greatest integer function? | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 34,716 | [
"greatest integer function",
"floor function",
"piecewise functions"
] | en | Definition of the greatest integer function. | 0.753381 |
sha256:2f0e09803fc533a65778c7988ef1a14e | 90% of the population of a village is 45,000. What is the total population of the village? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 50,094 | [
"percentages",
"proportions"
] | en | Find total population given 90% equals 45,000. | 0.844641 |
sha256:68bdabf0758f0a314ad0b42f2e1be578 | You are given a dataset representing the position of a particle at various time intervals. The position of the particle is described by the function `f(t)`, where `t` denotes the time. Your task is to approximate `f(t)` using a cubic polynomial that passes through the origin, i.e., the polynomial is defined as `p(t) = ... | nvidia/OpenCodeInstruct | math | stage1 | easy | 3,684 | [
"polynomial approximation",
"interpolation",
"cubic polynomials"
] | en | Implement a cubic polynomial position approximator. | 0.81846 |
sha256:44360deaa6dd9df80c586a34653d5e3b | John had 5 dollars. At the store he spent $2 on a new game. If he got another 26 dollars for his allowance, how much money does he have now? Return your final response as 'Final Answer: \boxed{<answer>}', where <answer> is the number or mathematical expression of the solution. | PrimeIntellect/SYNTHETIC-1-SFT-Data | math | stage1 | easy | 40,406 | [
"arithmetic",
"addition",
"subtraction"
] | en | Calculate John's total money after spending and receiving allowance. | 0.908356 |
sha256:8fb2c527e9f228155c018bffcc2c59b7 | User: System rules: You are an AI named Zexy - and are currently chatting in a Blockman Go group. Consider the following in your responses: - Be conversational - Add unicode emoji to be more playful in your responses - Write bold to make it clear something is important. For example, **This is important**. - Write spoil... | allenai/WildChat-4.8M | math | stage1 | easy | 28,472 | [
"fractions",
"division"
] | ru | Вычисление значения дроби 1:39 | 0.833464 |
sha256:d7311d21842f01eab4b257236612c6ed | You are given a latitude in decimal degrees and are required to compute the "quantized resolution" of a map tile at that latitude. The quantized resolution is defined as the smallest number of equally spaced intervals needed to cover the tile width, with each interval being 0.001 degrees. Assume that the tile width is ... | nvidia/OpenCodeInstruct | math | stage1 | easy | 9,100 | [
"decimal degrees",
"resolution calculation",
"interval counting"
] | en | Calculate intervals for map tile resolution at given latitude. | 0.775036 |
sha256:aa54cd32ffc370a0cd0f6e75de1549a2 | na linguagem pt-br, em markdown, gere perguntas e respostas importantes, para facilitar a memorização, como se fossem flashcards, sobre o assunto MATEMÁTICA: 4. Porcentagem.. não coloque titulos como flashcard, nem os titulos pergunta e resposta, apenas o conteudo, grife a pergunta no formato markdown. Utilize represen... | allenai/WildChat-4.8M | math | stage1 | easy | 53,912 | [
"porcentagem",
"frações",
"proporções"
] | pt | Flashcards em português sobre porcentagem com notação matemática. | 0.909811 |
sha256:e02331672b2ab71171ca33a333b4fe9d | how do i do 8000000/400 | allenai/WildChat-4.8M | math | stage1 | easy | 49,148 | [
"division",
"arithmetic"
] | en | Divide 8,000,000 by 400 | 0.808451 |
sha256:cfcde253ac38b33d6a06214c7f854962 | Karen has just been chosen the new "Math Idol". A total of 1,480,000 votes were cast and Karen received 83% of them. How many people voted for her? (A) 830000 (B) 1228400 (C) 1100000 (D) 251600 (E) 1783132 | AI-MO/NuminaMath-CoT | math | stage1 | easy | 62,220 | [
"percentages",
"multiplication"
] | en | Calculate 83% of 1,480,000 votes. | 0.941478 |
sha256:11d035801879eca4c77203617990d912 | The base-8 representation of a positive integer is $\overline{312}_{8}$. Express this integer in decimal form. | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 10,847 | [
"base conversion",
"number systems"
] | en | Convert base-8 number 312 to decimal. | 0.797071 |
sha256:80722c37d64718db5678d2232ff317e4 | If Wendy polished 50 small glasses and 10 more large glasses than small glasses, how many glasses did she polish in total? | alibaba-pai/OmniThought-0528 | math | stage1 | easy | 88,505 | [
"addition",
"word problems"
] | en | Calculate total glasses polished by Wendy. | 0.643953 |
sha256:e45758e62c81507851b9857599244ff9 | Chef is given two distinct integers, A and B (where A < B). Chef can perform a series of operations, each of which increments A by 1. Determine if it is possible for Chef to make A equal to B within a maximum of N operations. **Input:** - The first line contains three space-separated integers: A, B, and N. **Output:** ... | nvidia/OpenCodeInstruct | math | stage1 | easy | 4,648 | [
"arithmetic",
"inequality",
"integer operations"
] | en | Check if A can reach B in at most N increments. | 0.897291 |
sha256:d414d5f0ad5df262d47d7ca5d82078e2 | There are two teams, A and B, playing against each other. Each game between the teams has a winner and a loser; no game can end in a tie. In their last 21 games, the results were: Team A wins: 13 games Team B wins: 8 games Using these data, calculate the probability that Team A wins their next match against Team B. Bas... | HuggingFaceTB/smoltalk | math | stage1 | easy | 27,596 | [
"probability",
"statistics",
"empirical probability"
] | en | Calculate Team A's win probability as a percentage. | 0.84342 |
sha256:e73362f7e457c8c7dda1b72758ca53dd | A three-digit number can be formed using the digits $0$, $1$, $2$, $...$, $9$ with possible repetition. The number of such three-digit numbers is $( \ \ )$. A: $243$ B: $252$ C: $261$ D: $279$ | AI-MO/NuminaMath-CoT | math | stage1 | easy | 70,938 | [
"combinatorics",
"counting",
"three-digit numbers"
] | en | Count the number of three-digit numbers with digits 0-9. | 0.859175 |
sha256:7717a504de55aac1a4722226861c088b | You are given a predefined sequence of integers of length 32. Your task is to determine the K-th element of this sequence without using any loops or recursion. The sequence is as follows: ``` 1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51 ``` **Constraints:** - 1 ≤ K ≤... | nvidia/OpenCodeInstruct | math | stage1 | easy | 22,644 | [
"sequence",
"indexing",
"pattern recognition"
] | en | Return the K-th element from a predefined sequence. | 0.816792 |
sha256:e2ee65460eafde4ed6f0a50b9b74ff06 | "Dream of the Red Chamber" is one of the four great classical novels in ancient China. The book contains $731017$ characters. The approximate number of characters in units of "ten thousand" is ______ ten thousand. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 32,663 | [
"rounding",
"place value",
"approximation"
] | zh | Round 731017 to the nearest ten thousand. | 0.606727 |
sha256:3bfa055b6ba5a43225e66b3f1a2b4249 | Tool available: [1] wikipedia_search(query: str) -> str The Wikipedia Search tool provides access to a vast collection of articles covering a wide range of topics. Can query specific keywords or topics to retrieve accurate and comprehensive information. Solve the following problem step-by-step: Hydrogen's atomic number... | mlabonne/open-perfectblend | math | stage1 | easy | 66,807 | [
"atomic number",
"number comparison",
"Spice Girls"
] | en | Determine if hydrogen's atomic number squared exceeds the number of Spice Girls. | 0.783438 |
sha256:a5e6609cbabbbc6642ed739fd3cd32ac | $$ \binom{n}{0}+\binom{n}{1}+\binom{n}{2}+\ldots+\binom{n}{k}+\ldots+\binom{n}{n}=? $$ | PrimeIntellect/SYNTHETIC-2-SFT-verified | math | stage1 | easy | 69,341 | [
"combinatorics",
"binomial coefficients",
"summation"
] | en | Sum of binomial coefficients from 0 to n | 0.785929 |
sha256:748aa29892c54bce6081a799fa999488 | Given the function $f(x)=e^{2x}+x^{2}$, find the value of $f'(0)$. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 87,359 | [
"calculus",
"derivatives",
"exponential functions"
] | en | Find the derivative of f(x) at x=0. | 0.822534 |
sha256:e9bfe229463933fb69fd0362a3593cdb | Calculate the values of the following expressions: 1. $\sqrt[3]{\frac{64}{125}}$; 2. $\sqrt{16}$. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 73,209 | [
"cube roots",
"square roots",
"rational exponents"
] | en | Compute cube root of 64/125 and square root of 16. | 0.782144 |
sha256:8750cc8259daf2085ffc08c7be94d7c7 | Set $A$ has $30$ elements, and set $B$ has $25$ elements. What is the smallest possible number of elements in $A \cup B$? $\textbf{(A)}\ 25 \qquad\textbf{(B)}\ 30 \qquad\textbf{(C)}\ 55\qquad\textbf{(D)}\ 35\qquad\textbf{(E)}\ 60$ | AI-MO/NuminaMath-CoT | math | stage1 | easy | 87,188 | [
"set theory",
"union of sets",
"cardinality"
] | en | Find minimum elements in union of two sets. | 0.787406 |
sha256:dccf3236eb0a75a55656b136b8315de8 | Determine the value of $x$ such that the polynomial $p(x) = x^4 - 2x^3 - x + 1$ is divisible by $x - 3$. | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 34,581 | [
"polynomial division",
"remainder theorem",
"roots of polynomials"
] | en | Find x such that p(x) is divisible by x - 3. | 0.858407 |
sha256:ee9491d9be0e07ce6e9e0f124ada818d | Evaluate the expression: $4 \times (5^2 + 5^2 + 5^2 + 5^2) =$ A) $400$ B) $325$ C) $625$ D) $800$ | AI-MO/NuminaMath-CoT | math | stage1 | easy | 75,633 | [
"exponentiation",
"arithmetic operations",
"order of operations"
] | en | Evaluate 4 times (5 squared four times) | 0.819492 |
sha256:9131f837663a28d4229b56d323b9ec3e | What is the largest multiple of 11 less than 100? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 88,183 | [
"multiples",
"division"
] | en | Find the largest multiple of 11 under 100. | 0.847495 |
sha256:1eafd9719b0e9b6a620c6d85f5b1735d | There are x marbles in a jar. Half are blue. There are 6 red marbles. The rest of the marbles are orange. There are 6 orange marbles. What is the value of unknown variable x? What is the value of unknown variable x? | meta-math/MetaMathQA | math | stage1 | easy | 15,320 | [
"algebra",
"word problems",
"equations"
] | en | Find total marbles given color distribution. | 0.904469 |
sha256:edd5e5a0f7d1372fec031690b4ea3e0a | From a point $P(2, 3)$ outside the circle $x^2+y^2=1$, draw a tangent to the circle. The length of the tangent is __________. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 38,279 | [
"circle geometry",
"tangent length",
"coordinate geometry"
] | en | Find the length of the tangent from point (2,3) to the circle x²+y²=1. | 0.791537 |
sha256:a2df231956cfc4e1a77a093ea79b18a6 | A地距离B地100米,请问B地距离A地多少米? | lmsys/lmsys-chat-1m | math | stage1 | easy | 83,471 | [
"distance",
"geometry"
] | zh | A地到B地100米，B地到A地多少米？ | 0.717415 |
sha256:ffa185c22f913f9ba3050b1f48c1e78f | A triangular prism has a right triangle $ABC$ as its base, with legs $AB = 5$ and $BC = 12$, and hypotenuse $AC = 13$. The altitude of the prism, drawn from a vertex of the top face to the base, is perpendicular to the base and has a length of 7. Find the volume of the prism. | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 35,371 | [
"volume of a prism",
"right triangle",
"geometry"
] | en | Calculate the volume of a triangular prism with given base and height. | 0.883467 |
sha256:376700a6fa1065891ebb4b542ce21283 | You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps. Math Problem Solve 0 = -42*r - 264 + 54 for r. | HuggingFaceTB/smoltalk | math | stage1 | easy | 52,070 | [
"linear equations",
"algebra"
] | en | Solve the linear equation for r. | 0.899972 |
sha256:bb385842973d7616c2026bc9307308d2 | You are given a mathematical function `f(x) = x^3 - 3x^2 + 2`. Your task is to implement a Python function `second_derivative(x)` that computes the second derivative of `f(x)`. The second derivative, denoted as `f''(x)`, measures the rate of change of the first derivative `f'(x)`. The first derivative of `f(x)` is `f'(... | nvidia/OpenCodeInstruct | math | stage1 | easy | 8,805 | [
"calculus",
"derivatives",
"polynomial functions"
] | en | Compute the second derivative of a cubic function at a given x. | 0.87684 |
sha256:31844ab5973db7dc946a998a61dbc852 | Find the area of the shaded region in the following diagram: [asy]draw((0,0)--(10,0)--(10,10)--(0,10)--cycle); draw((3,7)--(7,7)--(7,3)--(3,3)--cycle); label("10",(5,0),S); label("10",(10,5),E); label("4",(5,3),S); label("4",(3,5),W); [/asy] The area of the shaded region can be found by subtracting the area of the smal... | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 3,542 | [
"area",
"square",
"geometry"
] | en | Calculate the area of the shaded region between two squares. | 0.872421 |
sha256:e6ab9bd7cbee7dc2ab401af178187e9e | Stream of consciousness rationale: (30*30)/100 = 9%loss The question and answer pair are described below. | allenai/tulu-3-sft-mixture | math | stage1 | easy | 72,749 | [
"percentage",
"loss calculation"
] | en | Calculate 9% loss from 30*30 divided by 100. | 0.792797 |
sha256:46335e89f11548caab189178ee33d0ea | A 9x9 grid of squares is labeled with whole numbers from 1 through 81, each square containing one number. The numbers are assigned from left to right and then from top to bottom, starting with 1 at the top left and ending with 81 at the bottom right. Compute the sum of the numbers at the four corners of the grid. Retur... | PrimeIntellect/SYNTHETIC-1-SFT-Data | math | stage1 | easy | 71,970 | [
"arithmetic",
"grid patterns",
"summation"
] | en | Sum the four corner numbers of a 9x9 numbered grid. | 0.859058 |
sha256:37f7496f32a910eed24b0e288dce4cc5 | A six-faced dice is painted such that 3 of its faces are green, 2 are yellow, and 1 is purple. What's the probability that when it is rolled, a green face will be facing up? Return your final response as 'Final Answer: \boxed{<answer>}', where <answer> is the number or mathematical expression of the solution. | PrimeIntellect/SYNTHETIC-1-SFT-Data | math | stage1 | easy | 78,913 | [
"probability",
"basic probability"
] | en | Probability of rolling a green face on a painted dice. | 0.87846 |
sha256:c66d194520a0300ec036b792bfc733fe | Snuke is an avid puzzle enthusiast and has embarked on a new challenge. Given `N` S-shaped pieces and `M` c-shaped pieces, Snuke aims to form as many distinct Scc groups as possible. Each Scc group must consist of one S-shaped piece and one c-shaped piece, and no two Scc groups can share the same c-shaped piece. Determ... | nvidia/OpenCodeInstruct | math | stage1 | easy | 38,130 | [
"combinatorics",
"optimization",
"constraints"
] | en | Find maximum Scc groups from S and c pieces. | 0.924249 |
sha256:70c771ba53d88ef98fc11d730279f0af | Let's define a function \( g(x) \) that is based on the number of hours \( x \) that a person sleeps each night. For \( x < 7 \), \( g(x) = 2x - 5 \) represents the negative impact on energy levels due to insufficient sleep. For \( x \geq 7 \), \( g(x) = 11 - x \) represents the positive impact on energy levels due to ... | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 47,692 | [
"piecewise functions",
"function evaluation"
] | en | Evaluate g(9) for a piecewise function. | 0.833485 |
sha256:e1c9429bd4647b15d21b08bc779ecd11 | If you divide 18 by 3 and divide it by 3 again, what is the result? | microsoft/orca-math-word-problems-200k | math | stage1 | easy | 31,635 | [
"division",
"basic arithmetic"
] | en | Result of dividing 18 by 3 twice | 0.881066 |
sha256:508014bcc1db87b46312201b3a14c728 | Simplify $x^2 + 2x + 1 + (x^2 - 2x - 1)$. Note: The original problem requires combining like terms and simplifying an expression. This new problem requires the same concept, but with a twist: it involves combining two quadratic expressions with opposite signs. | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 43,397 | [
"polynomial simplification",
"like terms",
"quadratic expressions"
] | en | Simplify the sum of two quadratic expressions. | 0.848907 |
sha256:37193e698806b50ca910284c6651550e | In a hypothetical disease outbreak within a closed population, individuals can be categorized into four states: Susceptible (S), Latently Exposed (LE), Infected (I), and Recovered (R). Initially, a certain number of individuals are latently exposed to the disease. The total population size and the number of initially l... | nvidia/OpenCodeInstruct | math | stage1 | easy | 37,073 | [
"proportions",
"epidemiology models",
"population dynamics"
] | en | Calculate initial population proportions in an SEIR model. | 0.846857 |
sha256:771036b17aa2b4e75a25897bb29fc44e | 132. In a triangle, all sides are equal. Find its angles. | PrimeIntellect/SYNTHETIC-2-SFT-verified | math | stage1 | easy | 9,480 | [
"geometry",
"triangles",
"angles"
] | en | Find the angles of an equilateral triangle. | 0.777283 |
sha256:aec23fad1c6734d9a206a945e839ef43 | The fenced area of a yard is a 20-foot by 18-foot rectangular region with a 4-foot by 4-foot square cut out. What is the area of the region within the fence? Return your final response as 'Final Answer: \boxed{<answer>}', where <answer> is the number or mathematical expression of the solution. | PrimeIntellect/SYNTHETIC-1-SFT-Data | math | stage1 | easy | 57,942 | [
"area calculation",
"rectangles",
"square cutout"
] | en | Calculate the area of a rectangle with a square cut out. | 0.889907 |
sha256:bab957af135e6940d0da145210b22374 | Teach me the FOIL method. The response must contain at least 5 placeholders represented by curly braces, such as {address}. | mlabonne/open-perfectblend | math | stage1 | easy | 83,661 | [
"algebra",
"polynomial multiplication",
"FOIL method"
] | en | Learn how to multiply binomials using the FOIL method. | 0.865942 |
sha256:04fecada2436959427d49f43ac470ce9 | Tiger Dasha is on her way to programming school and encounters a staircase with steps numbered from 1 to infinity. Due to her playful nature, she skips some steps. Your task is to determine if there exists an interval of steps from the l-th to the r-th (1 ≤ l ≤ r) such that the sequence of even and odd steps within thi... | nvidia/OpenCodeInstruct | math | stage1 | easy | 21,180 | [
"even and odd numbers",
"intervals",
"number properties"
] | en | Check if interval [l, r] contains both even and odd numbers. | 0.766966 |
sha256:d15d71e2e9bf8d0d5c50d949d02975a7 | A company has 10,000 consumers of their product. 8,142 consumers have a college degree. What percent of the consumers have a college degree? | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 89,895 | [
"percentages",
"proportions"
] | en | Calculate the percentage of consumers with a college degree. | 0.792568 |
sha256:c0def3c7c1635e4c45ea9ea302d295a9 | Si Roy ay tumakbo ng 30 milya sa bilis ng 6 milya bawat oras. Gaano katagal nag-sprint si Roy? | allenai/tulu-3-sft-mixture | math | stage1 | easy | 44,038 | [
"distance",
"speed",
"time"
] | tl | Kalkulahin ang oras na ginugol ni Roy sa pagtakbo. | 0.920933 |
sha256:70a2410e7cf0ce161473614024f0896c | your role is tunisian arabic dailctic derja transltor Translate the following text into the Tunisian dialect. Ensure the output is structured as 'Question: ... Answer: ...'. Please capture the nuances of the Tunisian dialectic Arabic. make sure type and write in arabic tunisian lettre Here is an example to guide you: Q... | allenai/WildChat-4.8M | math | stage1 | easy | 25,082 | [
"multiplication",
"word problems"
] | ar | احسب عدد الفول السوداني باستخدام الضرب | 0.868535 |
sha256:81f8717ccb0529b10e6189dc9a047a58 | You are an expert in composing functions. You are given a question and a set of possible functions. Based on the question, you will need to make one or more function/tool calls to achieve the purpose. If none of the functions can be used, point it out and refuse to answer. If the given question lacks the parameters req... | HuggingFaceTB/smoltalk | math | stage1 | easy | 83,545 | [
"divisors"
] | en | Find all divisors of the number 24. | 0.788366 |
sha256:d2e05e6eb716884887726f4f550cd618 | What is the mantissa in log 204.7? | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 79,981 | [
"logarithms",
"mantissa"
] | en | Find the mantissa of log 204.7. | 0.529986 |
sha256:7ee13bdb411c767c005e09a251f56495 | Find all integer solutions of the system of equations: x + 2y = 3, 3x - 2y = 7. | HuggingFaceTB/smoltalk | math | stage1 | easy | 24,863 | [
"systems of equations",
"linear equations",
"integer solutions"
] | en | Find integer solutions to two linear equations. | 0.853163 |
sha256:b2832e01f4547634644b55b90392ab6e | the average of 7 numbers is 15 . if each number be multiplied by 5 . find the average of new set of numbers ? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 60,435 | [
"average",
"arithmetic"
] | en | Find new average after multiplying each number by 5. | 0.88332 |
sha256:36f85d2d98f4642180ef38892c213a68 | An agent is reviewing manuscripts from multicultural authors. She receives 8 manuscripts on Monday, 5 on Tuesday, and 7 on Wednesday. She plans to meet a blogger to discuss these manuscripts. Before the meeting, she reviews 3 manuscripts from Monday, 2 from Tuesday, and 4 from Wednesday. How many manuscripts does the a... | allenai/tulu-3-sft-mixture | math | stage1 | easy | 46,642 | [
"arithmetic",
"addition",
"subtraction"
] | en | Calculate remaining manuscripts to review before meeting. | 0.797083 |
sha256:8d252011612c02257981be0a529f4188 | The sum of the first $n$ terms of an arithmetic sequence ${a_n}$ is $S_n$. If $a_1=1$, $a_5=9$, then $S_5=$ _____ . | AI-MO/NuminaMath-CoT | math | stage1 | easy | 70,078 | [
"arithmetic sequences",
"sum of series"
] | en | Find the sum of the first 5 terms of an arithmetic sequence. | 0.909341 |
sha256:dd84c6e6317e0a953fb93719096895eb | A Siamese catfish that was 2.5 meters long swallowed a 30-centimeter-long carp. After 4 days, the carp was completely digested. If this catfish continues to eat 30-centimeter-long carps at a constant rate of one carp every 4 days, what is the maximum number of carps that the catfish can eat in 840 days? | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 62,094 | [
"rate",
"division",
"time calculations"
] | en | Calculate max carps eaten in 840 days at 1 every 4 days. | 0.68368 |
sha256:e9b591ce669b501f9db2df33ea645c3a | You are given an array `arr` of four integers. Your task is to compute the result of the following operations in sequence: add the first and second elements, subtract the third element from the sum, and multiply the result by the fourth element. Ensure that no element is reused consecutively in any arithmetic operation... | nvidia/OpenCodeInstruct | math | stage1 | easy | 60,060 | [
"arithmetic operations",
"sequence of calculations"
] | en | Compute a sequence of arithmetic operations on four integers. | 0.85251 |
sha256:9fea1ca336b0ec681d5000737c486a4e | User: Wishing you good vibes, hap font nme ki ? Assistant: Aapne jo font ka istemal kiya hai, wo "Gotham" naam ka font hai. Is font ka style modern aur clean hai aur yeh bahut se designs aur graphics mein use hota hai. Agar aapko is tarah ke aur fonts ki talash hai, to "Montserrat" ya "Raleway" bhi ek accha vikalp ho s... | allenai/WildChat-4.8M | math | stage1 | easy | 87,218 | [
"subtraction"
] | en | Calculate 119 minus 5. | 0.795585 |
sha256:bcc80803fedec49f0792a2586c7efc29 | I am an engineering manager, and it costs $1000 an hour for my company to operate our manufacturing equipment. Currently we run 2 shifts of 8 hours a day with a 2 hour break in between the shifts for maintenance. We also shut the equipment down for 8 hours every Sunday for maintenance. This is a total of 18 hours of eq... | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 61,203 | [
"cost calculation",
"operating time",
"savings estimation"
] | en | Calculate weekly cost savings from reduced equipment operation time. | 0.84369 |
sha256:4ac12895a26beee72844b1617f2d8850 | If two distinct members of the set { 1, 2, 3, ..., 20} are chosen, what is the smallest possible value of the sum of their squares? | HuggingFaceTB/smoltalk | math | stage1 | easy | 30,161 | [
"number theory",
"optimization",
"sum of squares"
] | en | Find the smallest sum of squares of two distinct numbers from 1 to 20. | 0.781839 |
sha256:42ef5e883d34905b0fceddfd995499a9 | You are given a sequence of integers and a sequence of operators. The operators can be either '+' or '-'. The operations are not associative or commutative, and must be performed strictly from left to right. Your task is to evaluate the expression according to these rules. **Input:** - A list of integers `nums` (1 ≤ le... | nvidia/OpenCodeInstruct | math | stage1 | easy | 39,327 | [
"arithmetic evaluation",
"left-to-right operations"
] | en | Evaluate a sequence of numbers and operators left to right. | 0.872955 |
sha256:a022b432e2619114b9c0af3b577b2a4f | p(m) = m^2 – 3m + 1 అయిన p(1) + p(- 1) విలువను కనుగొనుము. | allenai/tulu-3-sft-mixture | math | stage1 | easy | 72,683 | [
"polynomial evaluation",
"algebra"
] | te | Find p(1) + p(-1) for the given polynomial. | 0.78199 |
sha256:636e1fc47839318b8679e651a2acf814 | Is there some theorem or statement that indicates that no matter what size an arbitrarily selected sample the average or specifically the 'mean' of that sample can never be less than the smallest element in the sample? | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 89,090 | [
"mean",
"inequalities",
"statistics"
] | en | The sample mean cannot be less than the smallest element. | 0.698851 |
sha256:70d8d30d7e87e5991e3d535cd2d851b6 | There are 12 frogs inside the pond and 6 frogs outside the pond. How many frogs are there in all? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 40,426 | [
"addition",
"basic arithmetic"
] | en | Calculate total frogs inside and outside the pond. | 0.878935 |
sha256:4a711227c72db695f1afc52d9fe6d2a0 | Calculate the value of X for equation 2X+4=14 | HuggingFaceTB/smoltalk | math | stage1 | easy | 43,587 | [
"algebra",
"linear equations"
] | en | Solve for X in the equation 2X + 4 = 14 | 0.806007 |
sha256:8df8c5946f5725eff98380d009ac2e8d | You are given two positive real numbers, `sx` and `sy`, representing the scaling factors for the x-axis and y-axis, respectively. Your task is to construct a 2x2 non-uniform scaling matrix. The matrix should have `sx` as the element at position (1,1), `sy` as the element at position (2,2), and all other elements should... | nvidia/OpenCodeInstruct | math | stage1 | easy | 99,731 | [
"linear algebra",
"transformation matrices",
"scaling"
] | en | Create a 2x2 scaling matrix from given x and y factors. | 0.7349 |
sha256:c70225cdd5fb9d09c3096d31bd5be119 | A study about movie ratings had 2000 participants rate 4 different movies on a scale of 1 to 5. I am given the following average ratings for each of the four movies: Movie A: 4.12, Movie B: 3.65, Movie C: 4.53, Movie D: 2.91. What can be determined from the given average ratings? | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 89,376 | [
"descriptive statistics",
"average",
"data interpretation"
] | en | Interpret average movie ratings from a study. | 0.721936 |
sha256:cdabeaaf3d78f676e390bbcca1aba85a | Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: By example: $4^{\log_2(n)}$ evaluates to $n^2$ $2^{\log_2(n)}$ evaluates to $n$ What is the rule behind this? Now provide the response and nothing else. | PrimeIntellect/SYNTHETIC-1-SFT-Data | math | stage1 | easy | 61,514 | [] | en | 0.808661 | |
sha256:fc58615f90b9dbf92f24f5156ba05817 | If there are four primary schools in a town, with two schools able to accommodate 400 students and the other two able to accommodate 340 students, what is the total number of students that these four primary schools can accommodate at a time? | meta-math/MetaMathQA | math | stage1 | easy | 87,627 | [
"arithmetic",
"addition",
"capacity calculation"
] | en | Calculate total student capacity of four schools. | 0.681853 |
sha256:1e5976b61b08c1ebaf1b8f2d096cdb21 | Emily is preparing a snack and wants to consume 300 calories. A small apple has 50 calories, and a serving of almond butter has 150 calories. If she has one small apple, how many servings of almond butter should she add to meet her calorie goal? | allenai/tulu-3-sft-mixture | math | stage1 | easy | 307 | [
"proportional reasoning",
"equations",
"calorie calculations"
] | en | Calculate servings of almond butter for 300 calories with one apple. | 0.75035 |
sha256:d0ca5c23754e0ea0d84ce09e0a7d902b | The length of the projection of vector a onto vector b is given by: proj_b(a) = |a| * cos(theta) where theta is the angle between the two vectors. Now, let's analyze the situation: Vector a has a length of 10 units, and vector b has a length of 5 units. The angle between them is 60 degrees. We can calculate the project... | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 89,531 | [
"vector projection",
"trigonometry"
] | en | Calculate the projection of vector a onto vector b using trigonometry. | 0.832818 |
sha256:556c977ceec327a5d082f63876be14c7 | In a unital $C^*$-algebra $A$, why is $a^*a \le \|a\|^2 1_A$ for any $a \in A$? | nvidia/Nemotron-Math-Proofs-v1 | math | stage1 | easy | 52,939 | [] | en | 0.796005 | |
sha256:c3e4dac72ba5deaf5581bcaf5934a8b7 | Solve the following math problem step-by-step. Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}. Mr. Stewart's math class has 16 boys, and 22 of his students bring their calculators to class. If 13 of the students who brought calculators are girls, then how many boys didn't bri... | mlabonne/open-perfectblend | math | stage1 | easy | 90,654 | [
"word problems",
"basic arithmetic",
"sets"
] | en | Find number of boys who didn't bring calculators. | 0.799193 |
sha256:93d12b2116f1ecc9340d43028d6f560e | A survey of graduating college students about their plans after graduation collected the following data on whether they had a job or were planning to pursue further education. Job - 45% Further education - 31% Undecided - 10% Travel - 8% Volunteer - 6% What information can be derived regarding students' plans after gra... | HuggingFaceTB/smoltalk | math | stage1 | easy | 71,183 | [
"statistics",
"data interpretation",
"percentages"
] | en | Interpret survey percentages on students' post-graduation plans. | 0.729658 |
sha256:4e8e073fe48100fd0f7700be83c2ed0f | You are given a task to compute the total value of a collection of gold bars in a different currency. Each gold bar has a specific weight and a price per gram. The total value should be calculated based on these parameters and then converted using a given exchange rate. Your function should accept four parameters: the ... | nvidia/OpenCodeInstruct | math | stage1 | easy | 19,065 | [
"currency conversion",
"multiplication",
"total value calculation"
] | en | Calculate total gold value in another currency using exchange rate. | 0.761257 |
sha256:bb951eb8fb4f28541ec94676764bdf24 | Tool available: [1] Python interpreter When you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment. Solve the following math problem step-by-step. Seven points are marked on the circumference of a circle. How many different chords can be drawn by connecting t... | mlabonne/open-perfectblend | math | stage1 | easy | 65,663 | [
"combinatorics",
"circle geometry",
"combinations"
] | en | Calculate number of chords from 7 points on a circle. | 0.912835 |
sha256:78751473ac482c7deaf5cd17304fd53d | Connie has 41 red markers, 64 blue markers, 35 green markers, 78 black markers and 102 yellow markers. How many markers does she have altogether? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 85,988 | [
"addition",
"counting"
] | en | Calculate total number of markers by adding all quantities. | 0.927378 |
sha256:c3eed7810875147efa777d589131cf04 | Suppose you have a Feistel cipher structure where the block size is 64 bits, the key size is 128 bits, the number of rounds is 16, and the round function uses a substitution box (S-box) of size 8 bits. If you are given a plaintext block of 64 bits and a key of 128 bits, what would be the size of the resulting ciphertex... | HuggingFaceTB/smoltalk | math | stage1 | easy | 90,635 | [
"Feistel cipher",
"block cipher",
"cryptography"
] | en | Size of ciphertext in a 64-bit Feistel cipher. | 0.674442 |
sha256:42792d308b6cfed5e2cc75e237aa3fd8 | Evaluate $\int \frac{x + x\sqrt{5}}{2} \, dx$. | nvidia/AceReason-1.1-SFT | math | stage1 | easy | 80,304 | [
"integration",
"algebraic simplification"
] | en | Integrate the expression (x + x√5)/2 with respect to x. | 0.870289 |
sha256:c9cba697f2896a9aedff3dd8ea424923 | You are given a dataset with information about two groups, Group A and Group B. Each group consists of individuals who have participated in a program for at least 12 months. Your task is to compute the "Outcome Parity Difference" between these two groups. The "Outcome Parity Difference" is defined as the difference bet... | nvidia/OpenCodeInstruct | math | stage1 | easy | 22,912 | [
"statistics",
"proportions",
"difference calculation"
] | en | Calculate the difference in favorable outcome rates between two groups. | 0.765752 |
sha256:61dfef121511890fb9ad3c1f2bbbdc18 | Jessica walks at a constant rate of 4 miles per hour. After 2 hours, how many miles did she walk? Express your answer as a decimal to the nearest tenth. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 76,796 | [
"rate",
"distance",
"time"
] | en | Calculate distance walked by Jessica in 2 hours at 4 mph. | 0.859441 |
sha256:6c63b679b71da93180774c011501b10e | Given that the inequality $2x + 3 \geq 7$ always holds for $x \in (a, +\infty)$, the minimum value of the real number $a$ is __________. | AI-MO/NuminaMath-CoT | math | stage1 | easy | 15,469 | [
"inequalities",
"real numbers",
"algebra"
] | en | Find the minimum a such that 2x+3≥7 for x>(a,∞) | 0.899565 |
sha256:62cd342d255b53cd8fa842e4b5abde95 | You are given a sequence of integers. For each element in the sequence, multiply it by its 1-based index. Output the modified sequence. This problem is to be solved for sequences provided in Mandarin, Bengali, Russian, and Vietnamese, but the input will be given in English as a list of integers. **Sample Input:** ``` [... | nvidia/OpenCodeInstruct | math | stage1 | easy | 82,493 | [
"sequence transformation",
"index-based multiplication"
] | en | Multiply each element by its 1-based index. | 0.793414 |
sha256:e5d2a452a00c3a7f6c57cb5a820a8c94 | In a friendly exchange of knowledge about historical battles, you and your fellow military history buff discuss two famous battles: the Battle of Agincourt and the Battle of Waterloo. At the Battle of Agincourt, the English army had 5,000 archers, and at the Battle of Waterloo, the Allied army had 50,000 infantry soldi... | allenai/tulu-3-sft-mixture | math | stage1 | easy | 49,828 | [
"ratio",
"multiplication",
"proportional reasoning"
] | en | Calculate 10 times the number of archers at Agincourt. | 0.692368 |
sha256:4e2759089ed4165167dfe3cd0c0d86b6 | If the number of Christmas presents David found was twice the number of birthday presents, and he found a total of 60 Christmas presents, what is the total number of presents he received altogether? | meta-math/MetaMathQA | math | stage1 | easy | 22,664 | [
"word problems",
"algebra",
"basic arithmetic"
] | en | Find total presents given Christmas and birthday counts. | 0.842784 |
sha256:8019ba55774165d9813616e337900ec2 | A coin is flipped three times. What is the probability of getting two tails followed by one head? | HuggingFaceTB/smoltalk | math | stage1 | easy | 1,742 | [
"probability",
"coin flips"
] | en | Probability of two tails then one head in three coin flips. | 0.939882 |
sha256:113323468c994c1f9693f3f64c82f2a3 | Do all curves of sine and cosine functions repeat themselves at some point? | nvidia/Nemotron-Math-Proofs-v1 | math | stage1 | easy | 63,882 | [
"trigonometric functions",
"periodicity"
] | en | Do sine and cosine curves repeat periodically? | 0.693377 |
sha256:33df3dd7d578dbb221c9d240c91e8ae7 | A pharmaceutical company conducted a study where 1000 patients were given an experimental new vaccine, and 30 patients experienced some side effects. How many patients in a sample of 1 million patients would be expected to experience some side effects from the vaccine. | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 29,776 | [
"proportions",
"expected value",
"statistics"
] | en | Calculate expected side effects in 1 million patients based on a sample. | 0.810949 |
sha256:3e86043ab2bd023beb635c92210289e0 | If Abigail collected 2 boxes of cookies, Grayson collected 3/4 of a box, and Olivia collected 3 boxes, and each box contains 48 cookies, what is the total number of cookies that they collected? | HuggingFaceTB/smoltalk | math | stage1 | easy | 85,068 | [
"arithmetic",
"fractions",
"addition"
] | en | Calculate total cookies collected by adding fractional boxes. | 0.903348 |
sha256:5ef84b1d2c2146da091fed3fad7b31aa | The school's baseball team had 48 new players and 6 returning players. If the coach put them into groups with a certain number of players in each group, there would be 9 groups. How many players were in each group? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 78,384 | [
"division",
"word problems",
"basic arithmetic"
] | en | Find the number of players per group given total players and number of groups. | 0.926896 |
sha256:47c73dccfba57558e95b35bebba81ef6 | Let $a,$ $b,$ and $c$ be positive real numbers. Find the maximum value of \[\frac{a}{a+b+c} + \frac{b}{a+b+c} + \frac{c}{a+b+c}.\] | nvidia/OpenMathInstruct-2 | math | stage1 | easy | 70,044 | [
"algebra",
"fractions",
"optimization"
] | en | Find the maximum of sum of fractions with same denominator. | 0.973174 |
sha256:37d8b5d6efd5672f8c14393db1b54dcc | for a right angle triangle the hypotenuse is 5 and base is 3 . what is the area of the triangle ? | AI-MO/NuminaMath-CoT | math | stage1 | easy | 40,099 | [
"right triangle",
"Pythagorean theorem",
"area of triangle"
] | en | Find the area of a right triangle with hypotenuse 5 and base 3. | 0.870588 |
sha256:8f2b9d5f93cf30d688502dc91c5f7d5d | A swarm of ants discovered a pile of sugar that spilled from a dropped bag. They begin to harvest it and carry it off to their anthill. Every hour, the ants remove 4 ounces of sugar. The bag of sugar held 24 ounces before it was dropped. After three hours, how many more hours will the ants need to harvest the remaining... | AI-MO/NuminaMath-CoT | math | stage1 | easy | 50,711 | [
"word problems",
"rate",
"division"
] | en | Calculate remaining hours to harvest sugar at 4 oz/hour. | 0.930834 |
sha256:3ec82a51d9206f9ffd6f3ba708904d0f | What is the average and standard deviation of the following data set: 72, 91, 46, 68, 77, 58, 93, 82, 69, 70. | argilla/magpie-ultra-v1.0 | math | stage1 | easy | 67,466 | [
"mean",
"standard deviation",
"descriptive statistics"
] | en | Calculate mean and standard deviation of a data set. | 0.853324 |
sha256:dada072af9f5417c76d2c749dfe7c5de | запиши это без использования LaTeX [ \boxed{C_{n + 1}^{,k}} ] | allenai/WildChat-4.8M | math | stage1 | easy | 89,726 | [
"combinatorics",
"binomial coefficients"
] | ru | Записать биномиальный коэффициент без LaTeX | 0.661141 |
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