prompt list | ground_truth string |
|---|---|
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | x(t)=(5/3)sin(t)-(1/3)sin(2t) |
[
{
"content": "Given a matrix \\( A \\) where \\( \\det(A) \\neq 0 \\) and \\( A \\in M_{n,n}(\\mathbb{C}) \\), determine if the equation \\( X^2 = A \\) always has a solution.",
"role": "user"
}
] | Yes |
[
{
"content": "Determine whether the limit \\( \\lim_{x \\to 0} \\frac{f(x)}{|x|} \\) exists, where \\( f(x) = \\langle A(x), x \\rangle - \\lambda \\langle x, x \\rangle \\) and \\( A \\) is a linear operator on \\( \\mathbb{R}^3 \\).",
"role": "user"
}
] | 0 |
[
{
"content": "Let \\(f\\) and \\(g\\) be two continuous functions on the interval \\([a,b]\\). Suppose that \\(g\\) has a constant sign on \\([a,b]\\). Determine whether there exists a number \\(c\\) in \\((a,b)\\) such that\n\\[\\int_{a}^{b} f(x)g(x)dx=f(c)\\int_{a}^{b} g(x)dx.\\]",
"role": "user"
}
] | Yes |
[
{
"content": "Consider the initial value problem \\( y'(t)=f(t)y(t) \\) with \\( y(0)=1 \\), where \\( f: \\mathbb{R} \\rightarrow \\mathbb{R} \\) is a continuous function. Determine which of the following statements is true:\n\n1. There exist infinitely many solutions for some \\( f \\).\n2. There exists a uni... | 2 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 0.1086 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 1.29e+3 cm^3 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | Closing Entries:
Date Account Title Debit ($) Credit ($)
xxx Sales Revenue A/c 372,570
Income Summary A/c 372,570
xxx Income Summary A/c 346,320
Cost of Goods Sold A/c 219,370
Delivery Expenses A/c 7,360
Insurance Expenses A/c 12,780
Rent Expenses A/c 20,870
Salaries and Wages Expenses A/c 63,130
Sales Discount A/c 8,080
Sales returns and allowances A/c 14,730
Xxx Income Summary A/c 26,250
Retained Earning A/c 26,250 |
[
{
"content": "For how many integers $a$ satisfying $1 \\le a \\le 23$ is it true that $a^{-1} \\equiv a \\pmod{24}$?",
"role": "user"
}
] | 8 |
[
{
"content": "Simplify the hypergeometric function of type \\((4,8)\\) when \\(a_1 = 0\\) and \\(a_3 = 0\\).",
"role": "user"
}
] | 1 |
[
{
"content": "Determine whether the following statement is true or false: A function \\( f: X \\times X \\to A \\) is continuous if and only if the functions \\( f_{1,x}(y) = f(x,y) \\) and \\( f_{2,x}(y) = f(y,x) \\) are continuous for all \\( x \\in X \\).",
"role": "user"
}
] | B |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | The man might have polycythemia vera (PV), a medical condition characterized by increased production of platelets and red and white blood cells, making the blood thick. Alternatively, elevated concentrations of coagulating factors can also thicken the blood. |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 363.12 Hz |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 16.293 m |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 47.87 m |
[
{
"content": "Evaluate the integral \\( \\frac{1}{2\\pi}\\int_{-\\infty}^{\\infty}{\\frac{e^{itx}}{1-it}dt} \\) and verify that the result is \\( e^{-x} \\).",
"role": "user"
}
] | e^{-x} |
[
{
"content": "In a convex quadrilateral $ABCD$, angles $\\angle DAB$ and $\\angle BDC$ are both $90^\\circ$. The incircles of triangles $\\Delta ABD$ and $\\Delta BCD$ touch $BD$ at points $P$ and $Q$, respectively, with $P$ located between $Q$ and $B$. Given that $AD = 999$ and $PQ = 200$, determine the sum of... | 799 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 7.50% |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 12 degrees |
[
{
"content": "Given that $X_1, \\dots, X_7$ and $Y_1, \\dots, Y_8$ are independently and identically distributed (i.i.d.) according to a $N(\\mu, \\sigma^2)$ distribution, calculate the probability $P(X_1<Y_{(8)})$, where $Y_{(8)}$ denotes the maximum of $Y_1, \\dots, Y_8$. Provide your answer as a probability ... | \dfrac{8}{9} |
[
{
"content": "Find all values of $a_0$ such that the sequence defined by $a_{k+1} = 2^k - 3a_k$ for $k \\geq 0$ is strictly increasing, i.e., $a_0 < a_1 < a_2 < a_3 < \\cdots$. ",
"role": "user"
}
] | \dfrac{1}{5} |
[
{
"content": "Find the value of \\(x > 0\\) such that the matrix \\(\\begin{pmatrix} 100\\sqrt{2} & x & 0 \\\\ -x & 0 & -x \\\\ 0 & x & 100\\sqrt{2} \\end{pmatrix}\\) has two equal eigenvalues.",
"role": "user"
}
] | 50 |
[
{
"content": "Find the radius of convergence of the series \\( \\sum_{n=0}^{\\infty} \\left(\\frac{z}{1+z}\\right)^n. \\)",
"role": "user"
}
] | \dfrac{1}{2} |
[
{
"content": "Find the coefficient of \\(x^{10}\\) in the power series expansion of the function \\(\\frac{1+x^3}{1-2x+x^3-x^4}\\).",
"role": "user"
}
] | 631 |
[
{
"content": "Let $X$ and $Y$ be two independent and identically distributed random variables, each following a uniform distribution on the interval $(0,1)$. Define $T = XY$. Calculate the probability distribution function of $T$. Provide your answer in terms of a function of $t$, where $0 \\leq t \\leq 1$. ",
... | -\ln t |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 13.54% |
[
{
"content": "Find the minimum value of \\( \\frac{a}{b + 1} + \\frac{b}{a + 1} + \\frac{1}{a + b} \\) given that \\( a \\) and \\( b \\) are positive numbers such that \\( a + b \\le 1 \\).",
"role": "user"
}
] | \dfrac{5}{3} |
[
{
"content": "Consider a tetrahedron with points \\( P_1, P_2, \\cdots, P_{10} \\) being either the vertices or the midpoints of its edges. Determine the number of sets of four points \\(\\left(P_{1}, P_{i}, P_{j}, P_{k}\\right)\\) (with \\(1<i<j<k \\leq 10\\)) that lie on the same plane.",
"role": "user"
... | 30 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 0.609e-3 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | $r = \rho \hat{e}_{\rho} + z\hat{e}_{z}+\rho\theta \hat{e}_{\theta}$ |
[
{
"content": "Let $P$ and $Q$ be points on the plane $ABC$ such that $m(\\widehat{BAC})=90^\\circ$, $|AB|=1$, $|AC|=\\sqrt 2$, $|PB|=1=|QB|$, $|PC|=2=|QC|$, and $|PA|>|QA|$. What is $\\frac{|PA|}{|QA|}$? \n\n$ \\textbf{(A)}\\ \\sqrt 2 +\\sqrt 3 \\\\\n\\textbf{(B)}\\ 5-\\sqrt 6 \\\\\n\\textbf{(C)}\\ \\sqrt 6 -\\... | A |
[
{
"content": "Determine the maximum number of points that can be placed inside a semicircle of radius $r$ such that no two points are closer than $r$ apart. The points can be placed anywhere within the semicircle, including on the straight line, inside the area, or on the circumference.",
"role": "user"
}... | 5 |
[
{
"content": "Consider a Markov chain with a finite state space of size $k$ and a transition matrix where all non-diagonal entries are equal to $1/k$. Determine the steady-state probability distribution for this Markov chain.",
"role": "user"
}
] | \dfrac{1}{k} |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 56.0 g |
[
{
"content": "Determine whether every prime of the form $4k+1$ divides a number of the form $4^n+1$. Provide a proof or counterexample.",
"role": "user"
}
] | 73 |
[
{
"content": "Evaluate the limit: \\[ \\lim_{x \\to \\infty} {\\left(\\frac{x^2 + 1}{1 - x^2}\\right)}^{x^2} = e^2. \\]",
"role": "user"
}
] | e^2 |
[
{
"content": "Evaluate $\\sqrt{2 -\\!\\sqrt{2 - \\!\\sqrt{2 - \\!\\sqrt{2 - \\cdots}}}}$.",
"role": "user"
}
] | 1 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 0.0081 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 0.01093 |
[
{
"content": "What is the largest order of a permutation of size 11?",
"role": "user"
}
] | 30 |
[
{
"content": "Find the volume of the tetrahedron whose vertices are $A = (0,1,2),$ $B = (3,0,1),$ $C = (4,3,6),$ and $D = (2,3,2).$",
"role": "user"
}
] | 6 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | Demand for domestic goods (Z) = C + I + G + (X - M)
Domestic demand for goods (Z) = C + I + G |
[
{
"content": "Determine the number of relatively compact connected components of the set \\( X \\setminus K \\), where \\( X = \\{(x,y) : x^2 + y^2 < 5\\} \\) and \\( K = \\{(x,y) : 1 \\leq x^2 + y^2 \\leq 2 \\text{ or } 3 \\leq x^2 + y^2 \\leq 4\\} \\).",
"role": "user"
}
] | 2 |
[
{
"content": "Calculate the flux of the vector field \\( F(x,y,z) = \\left(\\frac{1}{6}x^2yz, \\frac{1}{4}xy^2z, \\frac{1}{12}xyz^2\\right) \\) through the surface \\( \\Omega \\), which is a cube with vertices at \\((0,0,0)\\) and \\((2,2,2)\\).",
"role": "user"
}
] | 8 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 19 ft/second |
[
{
"content": "Let $R$ be an integral domain, and $p \\in R$ be a prime element. Determine whether $p$ is also a prime element in the polynomial ring $R[x]$. Provide a justification for your answer.",
"role": "user"
}
] | Yes |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 4.78 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | H2 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 2.7 ppb |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 627.49 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 6.958 m/s |
[
{
"content": "Find the limit of the sequence \\( \\frac{1}{n}\\sum_{k=1}^n k^{\\frac{1}{k}} \\) as \\( n \\to \\infty \\).",
"role": "user"
}
] | 1 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 2.2 m/s^2 at 74 degrees north of west |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 254.48 g |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 586.2 J |
[
{
"content": "Does there exist a surface defined by a continuous function $R^2 \\rightarrow R$ such that any two different triangles on it, formed by three non-collinear points connected by geodesics, are not congruent?",
"role": "user"
}
] | Yes |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 7.7e+2 g nicotine |
[
{
"content": "Given prime numbers \\(a\\) and \\(b\\), and a natural number \\(c\\), such that \\(2\\sqrt{a} + 7\\sqrt{b} = c\\sqrt{3}\\), find the value of \\(a^2 + b^2 + c^2\\).",
"role": "user"
}
] | 99 |
[
{
"content": "Given the probability density function \\( f_X(x) = 2\\beta x(1-x^2)^{\\beta - 1} \\) for \\( x \\in (0, 1) \\), where \\( \\beta \\) is unknown, and a sample \\((x_1, x_2, ..., x_6)\\) from \\( X \\) such that \\( \\sum_{i=1}^6 \\ln(1-x_i^2) = -3.698 \\), find the maximum likelihood estimate of \... | 0.627 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 2.46 V |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | -2.49 JK^-1 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 7.68e4 J |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | $33 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | $17,000 |
[
{
"content": "What is the smallest possible perimeter, in units, of a triangle whose side-length measures are consecutive integer values?",
"role": "user"
}
] | 9 |
[
{
"content": "Evaluate the limit: $$\\lim_{x \\to \\infty} \\frac{ex^{x+1}-x(x+1)^x}{(x+1)^x} $$",
"role": "user"
}
] | \dfrac{1}{2} |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 8.29 m/s |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 30.2N |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 28940.73 J |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | Glucose |
[
{
"content": "Find the fifth last digit of the number \\(5^{5^{5^{5^5}}}\\).",
"role": "user"
}
] | 0 |
[
{
"content": "In a game played on the complete graph $K_{2014}$, Alice directs one edge and Bob directs between 1 and 1000 edges. Determine if Alice can win if Bob's maximum number of directed edges is $n-3$ or less on $K_n$. Provide a justification for your answer.",
"role": "user"
}
] | Yes |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | -[Fcos(phi) - m(gsin(theta) - a)]d |
[
{
"content": "Determine the values of $p$ and $q$ for which the series \\( \\sum_{n=2}^{\\infty}\\frac{1}{ n^p-n^q} \\) converges, given that \\(0<q<p\\).",
"role": "user"
}
] | p > 1 |
[
{
"content": "Determine whether the interval $[0,1]$ can be partitioned into uncountably many sets, each containing a rational number. Answer with 'yes' or 'no'.",
"role": "user"
}
] | no |
[
{
"content": "Determine the natural number \\( n \\) such that the limit \\( \\lim_{x \\to 0} \\frac{(\\tan(x))^n - x^n}{x^6} \\) is neither zero nor infinity.",
"role": "user"
}
] | 4 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 4.03*10^-2 Nm |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 782 N |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 123 m/s |
[
{
"content": "Calculate the value of \\( 111^{4733} \\mod 9467 \\). Given that 9467 is a prime number and 111 is coprime to 9467, use Euler's theorem to find the result.",
"role": "user"
}
] | 9466 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 1.6e-12 N in z direction |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 36.46 kJ/mol |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | Cu^(2+)(aq) + 4NH_3(aq) -> [Cu(NH_3)_4]^(2+)(aq) |
[
{
"content": "Determine the largest integer $k$ such that $k$ divides $n^{55} - n$ for any integer $n$. Given that $n(n - 1)(n^{53} + n^{52} + n^{51} + \\ldots + n + 1) \\equiv 0 \\pmod{k}$, find the value of $k$.",
"role": "user"
}
] | 798 |
[
{
"content": "Find the interval of convergence for the Maclaurin series of the function \\( \\ln(\\sin x / x) \\).",
"role": "user"
}
] | (-\pi, \pi) |
[
{
"content": "In a convex quadrilateral \\(ABCD\\), segments \\(BB_1, CC_1, DD_1,\\) and \\(AA_1\\) are extended beyond points \\(B, C, D,\\) and \\(A\\) respectively, with each segment equal in length to the side it extends. If the area of quadrilateral \\(ABCD\\) is \\(s\\), determine the area of quadrilatera... | 5s |
[
{
"content": "Evaluate the nested summation to find the value of $x$ in the equation: $$ \\sum_{m_1=0}^{9}\\sum_{m_2=0}^{m_1-1}\\sum_{m_3=0}^{m_2-1}\\sum_{m_4=0}^{m_3-1}m_4=x $$",
"role": "user"
}
] | 252 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | Current Year
Current Assets $268,160 (32%)
Property, Plant and Equipment 486,040 (58%)
Intangible Assets 83,800 (10%)
Total Assets $838,000 (100%)
Previous Year
Current Assets $150,960 (24%)
Property, Plant and Equipment 440,300 (70%)
Intangible Assets 37,740 (6%)
Total Assets $629,000 (100%)
Current Year
Current Liabilities $167,600 (20%)
Long- Term Liabilities 326,820 (39%)
Common Stock 100,560 (12%)
Retained Earnings 243,020 (29%)
Total Liabilities and Owner's Equity $838,000 (100%)
Previous Year
Current Liabilities $88,060 (14%)
Long- Term Liabilities 270,470 (43%)
Common Stock 100,640 (16%)
Retained Earnings 169,830 (27%)
Total Liabilities and Owner's Equity $629,000 (100%) |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | $55,150 |
[
{
"content": "Given the joint probability density function \\( f(x,y) = \\begin{cases} x y & \\text{if } 0 \\leq x \\leq 2 \\text{ and } 0 \\leq y \\leq 1, \\\\ 0 & \\text{elsewhere.} \\end{cases} \\), find the probability \\( P(X/2 < Y < X) \\).",
"role": "user"
}
] | \dfrac{3}{8} |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 17.2831 m/sec |
[
{
"content": "A right rectangular prism has a base area one-quarter the base area of a larger right rectangular prism. The height of the smaller prism is half the height of the larger one. What is the ratio of the volume of the smaller prism to the volume of the larger prism? Express your answer as a common fra... | \frac{1}{8} |
[
{
"content": "In convex quadrilateral $KLMN$ side $\\overline{MN}$ is perpendicular to diagonal $\\overline{KM}$, side $\\overline{KL}$ is perpendicular to diagonal $\\overline{LN}$, $MN = 65$, and $KL = 28$. The line through $L$ perpendicular to side $\\overline{KN}$ intersects diagonal $\\overline{KM}$ at $O$... | 90 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 1.6002e-11 Hz |
[
{
"content": "Solve the linear partial differential equation \\(x \\cdot \\nabla u + u = 0\\) on a unit open ball, given that \\(u\\) is \\(C^1\\) on the ball and \\(C^0\\) on the boundary, and that \\(u(0) = 0\\).",
"role": "user"
}
] | 0 |
[
{
"content": "How many spread-out partitions of 21 are there into 4 parts, where a partition is defined as 'spread-out' if all the parts are distinct and no two parts are consecutive numbers?",
"role": "user"
}
] | 6 |
[
{
"content": "Evaluate the limit: $$\\lim_{x\\to\\infty} \\left(1-x^{\\frac{1}{2x}}\\right)\\cdot\\frac{x}{2\\ln{x}}$$",
"role": "user"
}
] | -\dfrac{1}{4} |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 4.62e+22 |
[
{
"content": "A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer are enclosed within <think> </think> and <answer> </answ... | 1.934 J |
[
{
"content": "Determine the constant $c$ such that the equation \\( \\sum_{k=2}^{N}c^{\\frac{1}{k\\log k}}=N \\) holds true for any positive integer \\( N \\).",
"role": "user"
}
] | 4 |
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