response_id stringlengths 15 19 | problem_id stringlengths 6 10 | task_type stringclasses 4
values | score float64 0.9 1 | messages listlengths 2 2 |
|---|---|---|---|---|
vfm_705231_EUZn2ODJ | vfm_705231 | verifiable_math | 1 | [
{
"content": "Given an arithmetic-geometric sequence {a_n} with the first term of 2 and a common ratio of -1/3. The sum of its first n terms is denoted as S_n. If for any nβN*, there's always Aβ€3S_n - 1/S_nβ€B, find the minimum value of B-A.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', whe... |
jdg_32789_BAmbyDuS | jdg_32789 | llm_judgeable_groundtruth_similarity | 0.98 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nRefactor the RemoveNCMNodes function in the ncm.go file by removing the const RemoveNodeEndpoint and the getRemoveNCMNodesRequest function. Integrate the... |
vfm_170435_MbczHIGT | vfm_170435 | verifiable_math | 1 | [
{
"content": "Calculate $(\\sqrt[4]{16})^{12}$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Okay, so I need to calculate (fourth root of 16) raised to the 12th po... |
vfm_474806_RlgpUGCT | vfm_474806 | verifiable_math | 1 | [
{
"content": "Two congruent cones with radius 12 cm and height 12 cm are enclosed within a cylinder. The base of each cone is a base of the cylinder, and the height of the cylinder is 24 cm. What is the number of cubic centimeters in the volume of the cylinder not occupied by the cones? Express your answer in t... |
vfm_616359_I4qtMpKK | vfm_616359 | verifiable_math | 1 | [
{
"content": "There are 2020 quadratic equations written on the board:\n\n$$\n\\begin{gathered}\n2020 x^{2}+b x+2021=0 \\\\\n2019 x^{2}+b x+2020=0 \\\\\n2018 x^{2}+b x+2019=0 \\\\\n\\ldots \\\\\nx^{2}+b x+2=0\n\\end{gathered}\n$$\n\n(each subsequent equation is obtained from the previous one by decreasing the l... |
vfm_424742_gH2oKA7H | vfm_424742 | verifiable_math | 1 | [
{
"content": "Let \\\\(f(n)=2+{2}^{4}+{2}^{7}+{2}^{10}+\\ldots+{2}^{3n+10} (n\\in\\mathbb{N})\\\\), then \\\\(f(n)\\\\) equals to (γγ)\nA: \\\\(\\dfrac{2}{7}\\left({8}^{n}-1\\right) \\\\)\nB: \\\\(\\dfrac{2}{7}\\left({8}^{n+1}-1\\right) \\\\)\nC: \\\\(\\dfrac{2}{7}\\left({8}^{n+3}-1\\right) \\\\)\nD: \\\\(\\dfr... |
vfm_259144_UdpPCzhf | vfm_259144 | verifiable_math | 1 | [
{
"content": "Austin is putting stickers in a sticker book. He put 8 stickers on the first page, some stickers on the second page, 24 stickers on the third page, and 32 stickers on the fourth page. If this pattern continues, Austin will put 40 stickers on the fifth page. How many stickers did Austin put on the ... |
jdg_50882_E8YK6LYb | jdg_50882 | llm_judgeable_groundtruth_similarity | 1 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nModify the `FilterInterceptor` class in `FilterInterceptor.cs` to add a null check for `DbContext` before executing the filter. Ensure that the code hand... |
jdg_264603_9WylQmPp | jdg_264603 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI'm doing a project called \"2D Shape editor\" in f#. I have done this project in c# before so I've got all the logics for how to connect two shapes... |
vfm_540054_oUQSRj4r | vfm_540054 | verifiable_math | 1 | [
{
"content": "If the least common multiple of $X$ and $Y$ is $180$, and the ratio of $X$ to $Y$ is $4:5$, find their greatest common divisor.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{... |
vfm_146313_WQie0UrA | vfm_146313 | verifiable_math | 1 | [
{
"content": "Given that the total surface area of a rectangular prism is 11, and the sum of the lengths of its twelve edges is 24, find the length of one of its space diagonals.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the so... |
jdg_277245_eeFKSND7 | jdg_277245 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI am obtaining the path of template using paymenthtml = os.path.join(os.path.dirname(__file__), 'template\\\\payment.html') and calling it in anothe... |
vfm_412061_3x1GE5N3 | vfm_412061 | verifiable_math | 1 | [
{
"content": "Alice and Bob each think of a polynomial. Each of their polynomials is monic, has degree 5, and has the same positive constant term and the same coefficient of $x$. The product of their polynomials is \\[x^{10} + 4x^9 + 6x^8 + 4x^7 + 5x^6 + 10x^5 + 5x^4 + 6x^3 + 4x^2 + 4x + 9.\\] What is the const... |
vfm_566471_WuJ5HjEA | vfm_566471 | verifiable_math | 1 | [
{
"content": "Mike picked 7 apples , Nancy picked 3 apples , and Keith picked 6 apples and 4 pears , at the farm. In total , _____ apples were picked .\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user... |
vfm_139352_xlgSFSWc | vfm_139352 | verifiable_math | 1 | [
{
"content": "The price of electricity went up by 25%. John's old computer used 800 watts and his new computer uses 50% more. If the old price of electricity was a certain amount per kilowatt-hour, his computer costs $9 to run for 50 hours. What was the old price of electricity per kilowatt-hour?\n\nReturn your... |
vfm_508726_SkHEgtgg | vfm_508726 | verifiable_math | 1 | [
{
"content": "Given the function $f\\left( x \\right)=\\sin \\left( \\omega x+\\dfrac{\\pi }{6} \\right)$ ($\\omega > 0$), the equation of one symmetric axis of the graph is $x=\\dfrac{\\pi }{12}$. What is the minimum value of $\\omega$?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where ... |
vfc_45621_SKVmqHbY | vfc_45621 | verifiable_code | 1 | [
{
"content": "Solve the following coding problem using the programming language python:\n\nThere are n games in a football tournament. Three teams are participating in it. Currently k games had already been played. \n\nYou are an avid football fan, but recently you missed the whole k games. Fortunately, you rem... |
vcu_3050_7nS9IrT2 | vcu_3050 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in python that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```python\ndef stuff(a: str) -> str:\n from functools im... |
jdg_130321_sd0vKKyf | jdg_130321 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nFind the remainder of $2^n+n^2$ modulus 6 given that $2^n+n^2$ is a prime and $n\\geq2$($n$ positive integer) I tried to solve this but failed!... |
vfm_282782_X3r55Rkr | vfm_282782 | verifiable_math | 1 | [
{
"content": "Compute $\\gcd(83^9+1,83^9+83^2+1)$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the greatest common divisor (gcd) of two ... |
vfm_591903_LhDsIB3p | vfm_591903 | verifiable_math | 1 | [
{
"content": "Caleb invested Rs. 2500 at 79 to obtain a certain income from his stock. The dividend is 6.32. What is the income Caleb obtained from his stock?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role"... |
vfm_573707_Ed6vAtvF | vfm_573707 | verifiable_math | 1 | [
{
"content": "Let x be the original price per kilo of rice. If this price falls by 25%, and previously you could buy 30 kg with a certain amount of money, how much rice in kilograms can you buy now with the same amount?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the nu... |
vfm_767126_dBXAihBk | vfm_767126 | verifiable_math | 1 | [
{
"content": "Ned was trying to expand his game collection. He bought 50 games from a friend and bought 27 more at a garage sale. If 74 of the games didn't work, how many good games did he end up with?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematic... |
vfm_675637_5AJm9NdX | vfm_675637 | verifiable_math | 1 | [
{
"content": "A cinema has 21 rows of seats, with 26 seats in each row. How many seats are there in total in this cinema?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<th... |
vfm_575587_LyBF1L1e | vfm_575587 | verifiable_math | 1 | [
{
"content": "An ellipse with a focus on the $y$-axis has the equation $x^{2}+ky^{2}=1$. If the length of the major axis is twice that of the minor axis, find the value of $k$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solu... |
vfm_388344_VvZWBoyP | vfm_388344 | verifiable_math | 1 | [
{
"content": "If \\\\((1+x)^{5}=a_{0}+a_{1}x+a_{2}x^{2}+\\ldots+a_{5}x^{5}\\\\), then \\\\(a_{1}+a_{2}+\\ldots+a_{5}=\\\\) \\_\\_\\_\\_\\_\\_.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
... |
vfm_400862_QR9dIgK2 | vfm_400862 | verifiable_math | 1 | [
{
"content": "Which of the following statements is correct?\n\nA: \"$a\\geqslant b$\" is a necessary and sufficient condition for \"$am^{2}\\geqslant bm^{2}$\"\n\nB: \"$x=\\frac{{kΟ}}{4}, kβ{Z}$\" is a necessary but not sufficient condition for \"$\\tan x=1$\"\n\nC: The negation of the proposition \"$β{x_0}β{R}... |
vfm_163606_qlWpDNMn | vfm_163606 | verifiable_math | 1 | [
{
"content": "Given that the function $f(x)$ is differentiable on $\\mathbb{R}$, the statement \"$f'(x\\_0)=0$\" is a \"($\\ \\ \\ \\ $)\" for \"$f(x\\_0)$ is an extreme value of the function $f(x)$\".\nA: Necessary and sufficient condition\nB: Sufficient but not necessary condition\nC: Necessary but not suffic... |
vfm_100259_XX4KUXFU | vfm_100259 | verifiable_math | 1 | [
{
"content": "The faces of a cube are painted in six different colors: orange $(O)$, blue $(B)$, yellow $(Y)$, silver $(S)$, violet $(V)$, and indigo $(I)$. Three views of the cube are shown below. What is the color of the face opposite the orange face?\n[ModifiedCubeViews.png]\n$\\textbf{(A)}\\ \\text{blue}\\q... |
vfm_587099_jQPf2RiV | vfm_587099 | verifiable_math | 1 | [
{
"content": "Brenda volunteered to make some trays of banana pudding for the family reunion. Each tray of banana pudding would need 80 wafer cookies. A box of wafer cookies only had 60 cookies per box. Each box costs $3.50. It will cost her $14 to buy just enough boxes for the trays of banana pudding. How many... |
vfm_689519_GGhX7INa | vfm_689519 | verifiable_math | 1 | [
{
"content": "A triangle has vertices at $(0,0)$, $(4,4)$, and $(10m,0)$, and the line $y = mx$ divides the triangle into two triangles of equal area. Calculate the sum of all possible values of $m$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical... |
vfm_114805_UYnVoSiQ | vfm_114805 | verifiable_math | 1 | [
{
"content": "When a square tile is attached to a wall measuring 120 centimeters (cm) wide and 96 centimeters (cm) long, how many centimeters (cm) should one side of the tile be in length to attach the largest tile to the wall without any extra space?\n\nReturn your final response as 'Final Answer: \\boxed{<ans... |
vfm_110645_C6jeA5UY | vfm_110645 | verifiable_math | 1 | [
{
"content": "Suppose $f(x)$ is a differentiable function and satisfies $\\lim_{n \\to \\infty} \\frac{f(1+2\\Delta x)-f(1)}{\\Delta x} =-2$, then the derivative of the function $y=f(x)$ at $x=1$ is\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical ... |
vfm_219531_cUHAAnzA | vfm_219531 | verifiable_math | 1 | [
{
"content": "Given the equation $x^{2}+\\left(2k-1\\right)x+k^{2}-1=0$ has two real roots $x_{1}$ and $x_{2}$. \n$(1)$ Find the range of real number $k$. \n$(2)$ If $x_{1}$ and $x_{2}$ satisfy $x_{1}^{2}+x_{2}^{2}=16+x_{1}x_{2}$, find the value of real number $k$.\n\nReturn your final response as 'Final Answ... |
jdg_130678_iRGJeu7x | jdg_130678 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI was looking for exercises on improper integrals and saw this problem Evaluate the following integral $$I=\\int_0^2 \\frac{dx}{\\sqrt{\\left| ... |
vfm_705418_EV2JznBK | vfm_705418 | verifiable_math | 1 | [
{
"content": "In a 5x6 grid, three of the unit squares at positions (1,5), (2,3), and (4,2) are shaded. What is the least number of additional unit squares that must be shaded so that the resulting figure has two lines of symmetry?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answe... |
vfm_31693_zlYBuBF6 | vfm_31693 | verifiable_math | 1 | [
{
"content": "If the cost price of 55 articles is equal to the selling price of some articles, then the percent profit is 10.000000000000004%. How many articles are there in the selling price?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expres... |
vfm_350898_aviOcfkr | vfm_350898 | verifiable_math | 1 | [
{
"content": "Expand the product $(7x^2 + 5x - 3)(3x^3 + 2x^2 + 1)$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Okay, let's see. I need to expand the product (7x... |
vfm_328415_heICd8d0 | vfm_328415 | verifiable_math | 1 | [
{
"content": "The complex number $\\dfrac{3}{{(1-i)}^{2}}=$Β Β Β ()\nA: $\\dfrac{3}{2}i$\nB: $-\\dfrac{3}{2}i$\nC: $i$\nD: $-i$\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "... |
jdg_278831_nCuFtxIr | jdg_278831 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nHow can I evaluate $\\displaystyle\\sum_{k=1}^{\\infty}\\frac{B(k,k)}{k}$ Here B is the beta function\n\nNow provide the response and nothing e... |
vcu_14608_bXZY32yH | vcu_14608 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in python that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```python\ndef stuff(a: str):\n from functools import lr... |
vfm_573167_lI8uqeYD | vfm_573167 | verifiable_math | 1 | [
{
"content": "Evaluate the following expression: \\( (-1)^{2008} + (-1)^{2009} + 2^{2006} \\times (-1)^{2007} + 1^{2010} \\).\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": ... |
jdg_63761_bRDCIkqn | jdg_63761 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nEnhance the FactoryBoy JavaScript library by modifying the _getFactory function to throw an error when a factory with the specified name is not found in ... |
vfm_266664_4WJxBLAk | vfm_266664 | verifiable_math | 1 | [
{
"content": "If real numbers $a$ and $b$ satisfy $\\frac{1}{a} + \\frac{2}{b} = \\sqrt{ab}$, then the minimum value of $ab$ is ( ).\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"con... |
vcu_42652_I1ziaBdP | vcu_42652 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in rust that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```rust\npub fn stuff(a: &str) -> String {\n use std::coll... |
vfm_307182_zPBBirZw | vfm_307182 | verifiable_math | 1 | [
{
"content": "Given the real numbers \\( x \\) and \\( y \\) that satisfy\n\n\\[ x + y = 3 \\]\n\\[ \\frac{1}{x + y^2} + \\frac{1}{x^2 + y} = \\frac{1}{2} \\]\n\nfind the value of \\( x^5 + y^5 \\).\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical ... |
vfm_44369_V0wnFSHD | vfm_44369 | verifiable_math | 1 | [
{
"content": "Determine the value of the expression $\\frac{\\log_{8}9}{\\log_{2}3}$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. I need to fin... |
vfm_436446_s4IS47HU | vfm_436446 | verifiable_math | 1 | [
{
"content": "Let $\\{a_n\\}$ be any geometric sequence, and let the sum of the first $n$ terms, the first $2n$ terms, and the first $3n$ terms be $x$, $y$, and $z$, respectively. Among the following equations, the one that always holds is ( )\nA: $x+z=2y$\nB: $y(y-x)=z(z-x)$\nC: $y^2=xz$\nD: $y(y-x)=x(z-x)$\n\... |
vfm_181813_2roakHL2 | vfm_181813 | verifiable_math | 1 | [
{
"content": "How many integers 1-9 are divisors of the five-digit number 36,432?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Okay, so I need to figure out how ma... |
vfm_224076_nqjETnEX | vfm_224076 | verifiable_math | 1 | [
{
"content": "A cylinder is inscribed in a sphere of radius $R$. When the lateral surface area of the cylinder is maximum, the difference between the surface area of the sphere and that of the cylinder's lateral surface is\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the... |
vfm_44421_iJz1hFvy | vfm_44421 | verifiable_math | 1 | [
{
"content": "Mr. Wise bought some worth of stock, some at $3.00 per share and some at $4.50 per share. He bought a total of 450 shares of stock. He bought 400 of one type of share. How much was the total worth of the stock he bought?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <an... |
vfm_53565_DMnUSxSC | vfm_53565 | verifiable_math | 1 | [
{
"content": "How many sequences of 0s and 1s of length 21 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and contain no three consecutive 1s?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.... |
vfm_699245_RogqoiGf | vfm_699245 | verifiable_math | 1 | [
{
"content": "The relationship in size among the three numbers $0.7^6$, $6^{0.7}$, and $\\log_{0.7}6$ is (γγ)\n\nA: $0.7^6 < \\log_{0.7}6 < 6^{0.7}$\n\nB: $\\log_{0.7}6 < 0.7^6 < 6^{0.7}$\n\nC: $\\log_{0.7}6 < 6^{0.7} < 0.7^6$\n\nD: $0.7^6 < 6^{0.7} < \\log_{0.7}6$\n\nReturn your final response as 'Final Answer... |
vfm_618248_QnoqReNN | vfm_618248 | verifiable_math | 1 | [
{
"content": "The lines $x = \\frac{1}{3}y + a$ and $y = \\frac{1}{3}x + b$ intersect at the point $(3,1)$. What is $a + b$?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "... |
vfm_472103_Xi6yRKWS | vfm_472103 | verifiable_math | 1 | [
{
"content": "If the function $f(x) = \\sqrt{2}\\sin(2x+\\varphi)$ (where $|\\varphi| < \\frac{\\pi}{2}$) has its graph symmetric about the line $x = \\frac{\\pi}{12}$, and when $x_1, x_2 \\in \\left(-\\frac{17\\pi}{12}, -\\frac{2\\pi}{3}\\right)$ with $x_1 \\neq x_2$, we have $f(x_1) = f(x_2)$, then $f(x_1 + x... |
vfm_240972_0bgn1Aop | vfm_240972 | verifiable_math | 1 | [
{
"content": "What is the value of the expression $x^2 + 5x - 10$, when $x = 0$?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Alright, so I need to find the value ... |
jdg_27486_reEjZMVr | jdg_27486 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nRefactor the given selection sort algorithm by renaming variables for clarity, adding comments to explain each step of the algorithm, and updating the do... |
vfm_484918_tyJL5hBm | vfm_484918 | verifiable_math | 1 | [
{
"content": "Given that the cosine value of the angle between vectors $\\overrightarrow{a}$ and $\\overrightarrow{b}$ is $\\frac{1}{4}$, $|\\overrightarrow{a}|=2$, and $|\\overrightarrow{b}|=4$, find $\\overrightarrow{a} \\cdot (\\overrightarrow{b}-\\overrightarrow{a})$.\n\nReturn your final response as 'Final... |
vcu_5244_EglfStWo | vcu_5244 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in python that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```python\ndef stuff(a: str) -> str:\n from abc import A... |
jdg_20424_FoDqCAVu | jdg_20424 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nModify the test skipping logic in the Python file to use the 'requests' library for handling connection errors. Remove the imports and exception handling... |
jdg_144088_5vVeAC5G | jdg_144088 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI was wondering how one would go about evaluating$$\\int_C \\frac{1}{z^2}dz$$ when $C$ is a circle of positive radius centered at zero. I susp... |
vfm_504145_UipeONzh | vfm_504145 | verifiable_math | 1 | [
{
"content": "According to the chart shown, what was the average daily low temperature in Addington from September 15th, 2008 through September 19th, 2008, inclusive? The low temperatures for each day were as follows:\n- September 15, 2008: 40Β°F\n- September 16, 2008: 47Β°F\n- September 17, 2008: 45Β°F\n- Septemb... |
jdg_242693_snnADrsf | jdg_242693 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI'm trying to follow this example on how to validate credentials. However, it uses asp: controls for the login form. If I were to use html controls ... |
vfm_419340_fdZdq87e | vfm_419340 | verifiable_math | 1 | [
{
"content": "Given $(a-2i)i=b-i$, where $a$, $b \\in \\mathbb{R}$ and $i$ is the imaginary unit, find the complex number $a+bi$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"conten... |
vfm_279227_OybIxHl7 | vfm_279227 | verifiable_math | 1 | [
{
"content": "Two cyclists start from the same place in opposite directions. One is going towards north at 10 kmph and the other is going towards south at a certain speed. They take 1 hour to be 50 km apart. What is the speed of the cyclist going towards south?\n\nReturn your final response as 'Final Answer: \\... |
vfm_764968_AxRHUrQb | vfm_764968 | verifiable_math | 1 | [
{
"content": "What is the constant term in the expansion of $(x^4 + x^2 + 7)(2x^5 + 3x^3 + 10)$?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Alright, so I need to... |
vfm_726183_hM1yR5Mw | vfm_726183 | verifiable_math | 1 | [
{
"content": "Petya is playing a computer game called \"Pile of Stones.\" Initially, there are 16 stones in the pile. Players take turns to take 1, 2, 3, or 4 stones from the pile. The player who takes the last stone wins. Petya is playing for the first time and therefore takes a random number of stones each ti... |
vfm_488796_4ffeMSXp | vfm_488796 | verifiable_math | 1 | [
{
"content": "A swimmer swims downstream a certain distance and upstream 10 km taking 5 hours each time. The speed of the current is 4.5 km/h. How far did the swimmer swim downstream?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of t... |
jdg_225646_d4icI4oV | jdg_225646 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI am loading a file into a array in binary form this seems to take a whileis there a better faster more efficent way to do this.i am using a similar... |
vfm_767368_pj9sfGIe | vfm_767368 | verifiable_math | 1 | [
{
"content": "What is the minimum number of marbles that must be drawn from a bucket containing 35 red marbles, 25 green marbles, 24 blue marbles, 18 yellow marbles, 15 orange marbles, and 12 purple marbles without replacement to guarantee that at least 20 marbles of a single color will be drawn?\n\nReturn your... |
vfm_102802_sitPXEq1 | vfm_102802 | verifiable_math | 1 | [
{
"content": "In space, there are four points. If any three of them are not collinear, then the number of planes that can be formed by any three of these points is (Β Β )\nA: Possibly three, or possibly two;\nB: Possibly four, or possibly one;\nC: Possibly three, or possibly one;\nD: Possibly four, or possibly t... |
vcu_32206_u5xTf4Uh | vcu_32206 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in rust that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```rust\npub fn stuff(a: &str) -> String {\n struct Proces... |
vfm_191356_rZD3Mf8Q | vfm_191356 | verifiable_math | 1 | [
{
"content": "John has some umbrellas in his house and 1 in the car. If they cost $8 each, he paid $24 in total. How many umbrellas does John have in his house?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"rol... |
vfm_683963_Xt91ZMzm | vfm_683963 | verifiable_math | 1 | [
{
"content": "Calculate:<br/>$(1)(-2x^{5}+3x^{3}-\\frac{1}{2}x^{2})Γ·(-\\frac{1}{2}x)^{2}$,<br/>$(2)\\left(3a-b\\right)^{2}(3a+b)^{2}$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"c... |
vfc_43902_MkQA7wpv | vfc_43902 | verifiable_code | 1 | [
{
"content": "Solve the following coding problem using the programming language javascript:\n\nEshag has an array a consisting of n integers.\n\nEshag can perform the following operation any number of times: choose some subsequence of a and delete every element from it which is strictly larger than AVG, where A... |
vfm_777324_rNzzvIqF | vfm_777324 | verifiable_math | 1 | [
{
"content": "Consider a hyperbola given by the equation $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1\\,(a > 0, b > 0)$ with two asymptotes $l_1$ and $l_2$, and its right focus $F$. If the point $M$, which is the symmetric point of $F$ with respect to the line $l_1$, lies on $l_2$, then the eccentricity of ... |
vfc_31214_Q3BN9rsU | vfc_31214 | verifiable_code | 1 | [
{
"content": "Solve the following coding problem using the programming language javascript:\n\nThe educational program (AHK Education) of the Aiz Broadcasting Association broadcasts a handicraft program for children, \"Play with Tsukuro\". Today is the time to make a rectangle with sticks, but I would like to s... |
vfm_511415_GAxTfKyh | vfm_511415 | verifiable_math | 1 | [
{
"content": "Given $\\mathbf{v} \\times \\mathbf{w} = \\begin{pmatrix} 3 \\\\ -1 \\\\ 2 \\end{pmatrix}$, find $3(\\mathbf{v} + \\mathbf{w}) \\times 2(\\mathbf{v} - \\mathbf{w})$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the s... |
vfm_93849_02v6HHcA | vfm_93849 | verifiable_math | 1 | [
{
"content": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. The radius of its circumcircle is $1$, and it satisfies $2(\\sin^2A-\\sin^2C)=(\\sqrt{2}a-b)\\sin B$. \n(I) Find the size of angle $C$; \n(II) Find the maximum area of $\\triangle ABC$.\n\nRet... |
vfm_298520_yJkFZmyY | vfm_298520 | verifiable_math | 1 | [
{
"content": "Given two parallel lines $l_1: 4x - 3y + 2 = 0$ and $l_2: 4x - 3y - 1 = 0$, determine the distance between them.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content":... |
vfm_610275_ApQmccXF | vfm_610275 | verifiable_math | 1 | [
{
"content": "Given in the Cartesian coordinate system $xOy$, the parametric equation of circle $O$ is $\\begin{cases}x=2\\cos \\alpha \\\\ y=2\\sin \\alpha\\end{cases}$ (where $\\alpha$ is the parameter). In the polar coordinate system with the origin $O$ as the pole and the non-negative half-axis of $x$ as th... |
jdg_263345_0sGqdYUA | jdg_263345 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI was wondering if it was possible to use regex or preg_match() in array_seach() or array_keys_exist ? ie. array_keys_exist($array,\"^\\d+$\") to ma... |
jdg_4578_WVu57heP | jdg_4578 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is an instruction to modify a code file along with the code file. Apply these instructions and return the adapted code:\n\nInstruction:\nRefactor the local test functions in the Go file to return a boolean status indicating success or failure. Implement a new helper function 'parse' that u... |
vfm_210994_FJ1ou4AE | vfm_210994 | verifiable_math | 1 | [
{
"content": "Given that {a_n} is an arithmetic sequence, and a_4 + a_7 = 2, a_5 * a_6 = -3, then a_1 * a_{10} =\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Okay,... |
vfm_700724_hvW9FWdv | vfm_700724 | verifiable_math | 1 | [
{
"content": "Calculate the limit of the function:\n\n$\\lim _{x \\rightarrow 0}\\left(\\frac{\\operatorname{tg} 4 x}{x}\\right)^{2+x}$\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"... |
vfm_56491_G4jmadNM | vfm_56491 | verifiable_math | 1 | [
{
"content": "The average of some numbers including 201, 202, 205, 206, 209, 209, 210, 212, and x is 207. The value of x is 212. What is the third number in the list?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
... |
jdg_100170_gs1vbaQ4 | jdg_100170 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nI was reading the assignment statements in the Python docs ( http://docs.python.org/reference/simple_stmts.html#assignment-statements ). In that it ... |
jdg_366903_MDHzJ9hO | jdg_366903 | llm_judgeable_groundtruth_similarity | 0.95 | [
{
"content": "\nBelow is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would.\n\nQuestion:\nFrom two columns in my table I want to get a unified count for the values in these columns.As an example, two columns are: Table: reports | type ... |
vfm_764321_Qid7nGDo | vfm_764321 | verifiable_math | 1 | [
{
"content": "Evaluate $x^2y^3z^2$ if $x = \\frac{1}{4}$, $y = \\frac{1}{3}$, and $z = -3$.\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>Okay, let me try to solve ... |
vfm_306743_Mk0emn7O | vfm_306743 | verifiable_math | 1 | [
{
"content": "In a class of 38 students, we need to randomly select 5 people to participate in a survey. The number of possible selections where student A is chosen but student B is not is ______. (Express the answer numerically)\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer>... |
vfm_408876_ChO7esCX | vfm_408876 | verifiable_math | 1 | [
{
"content": "The straight line drawn by the Yoojeong is 3 millimeters (mm) shorter than 31 centimeters (cm). Write the length of the straight line drawn by Yoojeong in millimeters (mm).\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression o... |
vfm_547937_pF7CaVBX | vfm_547937 | verifiable_math | 1 | [
{
"content": "The total cost of a vacation was divided among 6 people. If the total cost of the vacation had been divided equally among 8 people, the cost per person would have been $120 less. What was the total cost of the vacation?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <ans... |
vfc_132074_4pCrxODM | vfc_132074 | verifiable_code | 1 | [
{
"content": "Solve the following coding problem using the programming language javascript:\n\nOne day, Tanya was studying graph theory. She is very inquisitive, so the following problem soon came to her mind.\nFind the number of undirected unweighted connected simple graphs with $N$ vertices (numbered $1$ thro... |
vfm_51963_MYKKjeqU | vfm_51963 | verifiable_math | 1 | [
{
"content": "The least common multiple of $x$, $15$, and $21$ is $105$. What is the greatest possible value of $x$?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": "<think>O... |
vcu_8376_4pDGaFBs | vcu_8376 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in python that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```python\ndef stuff(a: str) -> str:\n from functools im... |
vcu_32575_sivFlH2b | vcu_32575 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in rust that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```rust\npub fn stuff(a: &str) -> String {\n struct Shifte... |
vcu_23263_u92Mcr84 | vcu_23263 | code_output_prediction | 1 | [
{
"content": "\nBelow you are given code written in cpp that contains the function 'stuff', which manipulates a string, as well as an input to the function. Your job is to predict the output of 'stuff' given the provided input.\n\nHere is the code:\n```cpp\n#include <string>\n#include <algorithm>\n#include <fun... |
vfm_657417_8JRkhW0d | vfm_657417 | verifiable_math | 1 | [
{
"content": "Find the number of moles of NaNO3 formed on combining 3 moles of NH4NO3 and some moles of NaOH. The number of moles of NaNO3 formed is 3. How many moles of NaOH were combined?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expressio... |
vfm_468395_6In5yyav | vfm_468395 | verifiable_math | 1 | [
{
"content": "You used wire to make one square shape with a side of 20 centimeters (cm). You are going to re-stretch this wire and use it all to make one rectangular shape. If the width of the rectangle is 14 centimeters (cm), how many centimeters (cm) is the length?\n\nReturn your final response as 'Final Answ... |
vfm_395210_UO4NNvHC | vfm_395210 | verifiable_math | 1 | [
{
"content": "If the least common addition of two prime numbers x and y is 36, where x < y, then what is the value of 4x + y?\n\nReturn your final response as 'Final Answer: \\boxed{<answer>}', where <answer> is the number or mathematical expression of the solution.",
"role": "user"
},
{
"content": ... |
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