messages listlengths 2 2 | conversation_id int64 0 3k |
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{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nlagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 74,000 through the lagaan from the village of mu... | 884 |
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"content": "A certain number of women can color 400 m long cloth in 5 days. If 10 women can color 500 m long cloth in 5 days, how many women were in the first group?",
"role": "user"
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"content": "<think>\nOkay, let's see. I need to figure out how many women were in the first group that can col... | 2,354 |
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"content": "If the sum of the coefficients in the expansion of $(x+ \\frac {2}{x})^{n}$ is 81, and the constant term is $a$, then the area of the closed region enclosed by the line $y= \\frac {a}{6}x$ and the curve $y=x^{2}$ is ______.",
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"content": "<think>\nOkay, so I have thi... | 2,783 |
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"content": "For any number $x$, we are told that $x\\&=7-x$ and $\\&x = x -7$. What is the value of $\\&(12\\&)$?",
"role": "user"
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"content": "<think>\nOkay, let's try to figure out this problem. So, we have these two operations defined: x& = 7 - x and &x = x - 7. And we need to find the valu... | 1,654 |
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"content": "3. Find all integer solutions to the equation $\\sqrt{n+1}-\\sqrt{n}=(\\sqrt{2}-1)^{2024}$.",
"role": "user"
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"content": "<think>\nOkay, so I need to find all integer solutions to the equation √(n + 1) - √n = (√2 - 1)^2024. Hmm, that looks a bit intimidating at first, but maybe if ... | 2,506 |
[
{
"content": "How many different integers can be expressed as the sum of three distinct members of the set $\\{1,4,7,10,13,16,19\\}$?\n$\\text{(A)}\\ 13 \\qquad \\text{(B)}\\ 16 \\qquad \\text{(C)}\\ 24 \\qquad \\text{(D)}\\ 30 \\qquad \\text{(E)}\\ 35$",
"role": "user"
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"content": "<think>\nAlr... | 2,646 |
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"content": "9. Let $x=0.82^{0.5}, y=\\sin 1, z=\\log _{3} \\sqrt{7}$. Then the size relationship of $x, y, z$ is ( ).\n(A) $x<y<z$\n(B) $y<z<x$\n(C) $z<x<y$\n(D) $z<y<x$",
"role": "user"
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"content": "<think>\nOkay, so I need to figure out the relationship between x, y, and z. The problem says ... | 2,690 |
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{
"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nCompute $\\tan 60^\\circ$.",
"role": "user"
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"content": "<think>\nOkay... | 913 |
[
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"content": "Write Python code to solve the task.\nGiven the following table (only the first 5 rows are shown):\n Date Name Moving from Moving to Fee\n0 3 March 2009 Silvestre Varela Estrela da Amadora Porto Free\n1 14 Ap... | 783 |
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{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nin a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of ... | 660 |
[
{
"content": "Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation $V = IZ$, $V$ is voltage, $I$ is current, and $Z$ is a value known as impedance. If $V = 1-i$ and $Z=1+3i$, find $I$. Express your answer as a complex number in the form $a+bi$, where $a$ and $b$ a... | 1,375 |
[
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $d$ and $e$ denote the solutions of $3x^2+10x-25=0$. Find $(d-e)^2$.",
"role": "user"
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"content": "<think>\nOkay, so I need to find (d -... | 872 |
[
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"content": "What will be the difference between simple and compound interest at 25% per annum on a certain sum after 2 years if the difference is $225?",
"role": "user"
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"content": "<think>\nFirst, I need to understand the problem. I have a principal amount, and I need to find the difference b... | 2,837 |
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"content": "Tool available:\n[1] Python interpreter\nWhen you send a message containing Python code to python, it will be executed in a stateful Jupyter notebook environment.\nSolve the following math problem step-by-step.\nSquares of side length 1 are arranged to form the figure shown. What is the perimeter ... | 551 |
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