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... | 0.950 g |
[
{
"content": "Evaluate the limit of the series: \\(\\sum_{n=1}^{\\infty}\\frac{n^2}{n!}\\)",
"role": "user"
}
] | 2e |
[
{
"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... | 14.8 km/hr |
[
{
"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... | 52720N |
[
{
"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 equilibrium price is $450, and the equilibrium quantity is 300 units. |
[
{
"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... | $88.56 |
[
{
"content": "How many paths are there from $C$ to $B$, if every step must be up or to the right?[asy]size(4cm,4cm);int w=6;int h=5;int i;pen p=fontsize(9);for (i=0; i<h; ++i){draw((0,i) -- (w-1,i));}for (i=0; i<w; ++i){draw((i, 0)--(i,h-1));}dot(\"$A$\", (0,0), SW, p);dot(\"$C$\", (1,2), NE, p);dot(\"$B$\", (w... | 15 |
[
{
"content": "Determine the value of the constant $a$ such that the equation \\( \\log_2(a) + \\log_2(a)^2 + \\log_2(a)^3 + \\cdots + \\log_2(a)^n = 3n(n+1) \\) holds for all positive integers $n$. \\( \\boxed{} \\)",
"role": "user"
}
] | 64 |
[
{
"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... | 35 g |
[
{
"content": "Does the group $SO(3)$ have an open nontrivial subgroup? Here, $SO(3)$ is the group of all $3 \\times 3$ orthogonal matrices with determinant 1, equipped with the operator norm topology.",
"role": "user"
}
] | No |
[
{
"content": "Determine the maximum value of the function \\(N=\\sqrt{u^2+v^2-2uv}+\\sqrt{v^2+w^2-2vw}+\\sqrt{w^2+u^2-2wu}\\) given the constraints \\(0 \\le u, v, w \\le 4\\).",
"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... | 43.53 |
[
{
"content": "Let $(\\Omega, \\mathcal{F}, P)$ be a probability space and $X: \\Omega \\rightarrow \\mathbb{R}$ be a random variable with $P(X = 0) =1.$ Let $\\mathcal{N}$ be the class of sets $A \\subset \\Omega$ such that there exists a set $N \\in \\mathcal{F}$ with $P(N)=0$ and $A \\subset N.$ Let $\\mathca... | 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... | 0.0022857 W/m^2 |
[
{
"content": "Determine whether the sequence \\( \\cos(\\pi \\sqrt{n^2 + n}) \\) converges as \\( n \\to \\infty \\).",
"role": "user"
}
] | 0 |
[
{
"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... | 18027 |
[
{
"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... | 561 Hz |
[
{
"content": "Determine the number of roots of the equation \\(x^3 + x^2 + x + 1 = 0\\) modulo 340.",
"role": "user"
}
] | 18 |
[
{
"content": "If $A$ is an infinite set, does the set of finite subsets of $A$, denoted as $\\mathcal{F}(A)$, have the same cardinality as $A$?",
"role": "user"
}
] | Yes |
[
{
"content": "Determine whether the sequence \\( a_n = \\sqrt[n]{|\\cos n|} \\) converges or diverges.",
"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... | 906 m/s |
[
{
"content": "At the corners of an equilateral triangle, three mice are positioned. At time $t = 0$, each mouse begins crawling directly towards the next mouse: Mouse 1 towards Mouse 2, Mouse 2 towards Mouse 3, and Mouse 3 towards Mouse 1. The speed of each mouse is proportional to the distance to the mouse it ... | 0 |
[
{
"content": "In any month with five Mondays, a school declares the fifth Monday a Marvelous Monday. School begins on Monday, September 4. What is the date of the first Marvelous Monday after school starts? (If you abbreviate, do not use a dot in the abbreviation.)",
"role": "user"
}
] | \text{October 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... | extended |
[
{
"content": "A math textbook with a double-digit number of pages is split into sections. Each section is exactly $12$ pages long, with the exception of the epilogue, which is $11$ pages long. Every page belongs to a section. Furthermore, on the bottom of each $5$th page, a trivia fact is presented on the botto... | 71 |
[
{
"content": "Determine the order of the group \\( G = \\langle a, b : a^3 = b^2 = (ab)^3 = e \\rangle \\).",
"role": "user"
}
] | 12 |
[
{
"content": "Calculate the value of the integral \\( \\int_{0}^{0.5} \\frac{\\ln(1+x)}{x} \\, dx \\) with at least two decimal places of precision.",
"role": "user"
}
] | 0.45 |
[
{
"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... | P(x,t)dx |
[
{
"content": "A crystal moves along an xy-plane according to the displacement law \\(r(t) = (12t\\hat{i} + ct^2\\hat{j})\\,m\\), where \\(t\\) is in seconds and \\(c\\) is a positive constant with acceleration units. At \\(t = 0\\), the radius of curvature is \\(4\\,m\\). Determine the tangential acceleration o... | 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... | Cr_2O_7^{2-}(aq) +14H^+(aq) +3C_2O_4^{2-}(aq) \to 2Cr^{3+}(aq) +7H_2O (l)+ 6CO_2(g) |
[
{
"content": "Determine the number of elements in the symmetric group $S_8$ that have a cycle structure of $4^2$, meaning permutations composed of two 4-cycles.",
"role": "user"
}
] | 1260 |
[
{
"content": "Determine whether the following statement is true or false: If $A$ is relatively closed in $X \\subset \\mathbb{R}^{n}$, then $\\overline{A} \\cap X = A$, where $\\overline{\\cdot}$ denotes the closure operator in $\\mathbb{R}^{n}$, and $X$ is equipped with the subspace topology inherited from $\\... | True |
[
{
"content": "Inside the cube $A B C D A_{1} B_{1} C_{1} D_{1}$, there is a sphere centered at $O$ with a radius of 10. The sphere intersects the face $A A_{1} D_{1} D$ by a circle with a radius of 1, the face $A_{1} B_{1} C_{1} D_{1}$ by a circle with a radius of 1, and the face $C D D_{1} C_{1}$ by a circle w... | 17 |
[
{
"content": "Determine whether the following proposition about cyclic groups is true or false: A group $G$ is a cyclic group if and only if for every subgroup $H$ of $G$, there exists an integer $k$ such that $H = \\{a^k : a \\in G\\}$.",
"role": "user"
}
] | True |
[
{
"content": "Evaluate the limit: $$\\lim_{x \\to \\infty}\\frac{\\int_1^x(e^{2t}+t)^{1/t}dt}{x^2}$$",
"role": "user"
}
] | 0 |
[
{
"content": "Given that $E[X]=\\theta(n^{1.5})$ and $Var[X]=\\theta(n^{2.5})$ for a non-negative random variable $X$, use Chebyshev's inequality to determine the order of $P(X=0)$. Choose the correct option:\n\nA: $P(X=0)=O(1/n^2)$ \nB: $P(X=0)=O(1/n^{1.5})$ \nC: $P(X=0)=O(1/n)$ \nD: $P(X=0)=O(1/n^{0.5})$",... | D |
[
{
"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... | 1.03e-8 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... | 62.65 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... | 1.95e13 J/hr |
[
{
"content": "Evaluate the limit \\( \\lim _{n\\to \\infty }\\left(\\frac{\\sqrt[n]{n!}}{n}\\right) \\) using the Cauchy-d'Alembert Ratio Test or another appropriate method.",
"role": "user"
}
] | \dfrac{1}{e} |
[
{
"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... | 11.6 km/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... | Sourdough |
[
{
"content": "Let $T = \\{v_1, \\dots, v_{2n}\\} \\subseteq \\mathbb{C}^n$ be a $\\mathbb{R}$-linearly independent set of vectors. Consider the $2^n$ subsets $S \\subseteq T$ of size $n$ which contain exactly one of $v_1$ and $v_{n+1}$, exactly one of $v_2$ and $v_{n+2}$, and so on. Is one of these subsets nece... | Yes |
[
{
"content": "Losses on an insurance policy are uniformly distributed on the interval [0, 10000]. A policy covering these losses has a deductible of 1000. Calculate the average payment made by this policy for each loss.",
"role": "user"
}
] | 4050 |
[
{
"content": "Find the minimum value of \\[ P = \\frac{1}{(1+x)^2} + \\frac{1}{(1+y)^2} + \\frac{1}{(1+z)^2} + \\frac{4}{(1+x)(1+y)(1+z)} \\] given that \\( x, y, z > 0 \\) and \\( y + z = x(y^2 + z^2) \\).",
"role": "user"
}
] | \dfrac{91}{108} |
[
{
"content": "Let $A, B, C$ be finite subsets of the natural numbers. Define $d(A, B) = \\sum_{x \\in A \\mathbin{\\Delta} B} 2^{-x}$, where $A \\mathbin{\\Delta} B = (A \\cup B) \\setminus (A \\cap B)$ is the symmetric difference between $A$ and $B$. Does the function $d$ satisfy the triangle inequality, i.e.,... | 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... | 1.0001 |
[
{
"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... | 1330 |
[
{
"content": "Find the remainder when $35!$ is divided by $1457$ using Wilson's theorem.",
"role": "user"
}
] | 248 |
[
{
"content": "Given the function \\( F(x) = \\int_0^x e^{t^2} dt + 1 \\), determine which of the following statements is true:\n\n(a) \\( F(x) \\) is convex on \\((-\\infty, \\infty)\\).\n\n(b) The equation \\( F(x) = 0 \\) has two solutions.\n\n(c) \\( F(x) \\) is invertible and its inverse function \\((F^{-1}... | C |
[
{
"content": "Determine the values of \\( p \\in \\mathbb{R} \\) for which the integral \\( \\int_0^\\infty \\frac{\\sin x}{x^p} \\, dx \\) converges.",
"role": "user"
}
] | (0, 2) |
[
{
"content": "Evaluate the definite integral \\( \\int_0^3 x \\, d[x] \\), where \\([x]\\) is the greatest integer less than or equal to \\(x\\).",
"role": "user"
}
] | 6 |
[
{
"content": "Evaluate the integral \\[ I = \\int_0^{\\frac{\\pi}{2}} \\frac{\\cos^{2008} (x)}{\\sin^{2008} (x)+\\cos^{2008} (x)} \\, dx. \\]",
"role": "user"
}
] | \dfrac{\pi}{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... | $1,084,800 |
[
{
"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... | 1.1e-25 kg m/s |
[
{
"content": "Evaluate the limit: \\[ \\lim_{n \\rightarrow \\infty}\\sqrt{\\left(1+\\frac{1}{n}+\\frac{1}{n^3}\\right)^{5n+1}} \\]",
"role": "user"
}
] | e^{\frac{5}{2}} |
[
{
"content": "Consider the sequence $\\{a_n\\}$ defined by $a_1 = 1$ and $S_{n+1} = 2S_n - \\frac{n(n+1)}{2} + 1$, where $S_n = a_1 + a_2 + \\cdots + a_n$ for $n = 1, 2, \\ldots$. Let $\\Delta a_n = a_{n+1} - a_n$. Determine the number of elements in the set $S = \\{n \\in \\mathbb{N}^* \\mid \\Delta(\\Delta a_... | 11 |
[
{
"content": "Determine the dimension of the quotient space of the vector space of all finite closed connected intervals of \\( \\mathbb{R} \\) under the equivalence relation defined by the evaluation map \\( E([b,c]) = \\int_b^c 1 \\, dx \\).",
"role": "user"
}
] | 1 |
[
{
"content": "Let $f(x)$ be an irreducible quartic polynomial over $\\mathbb{Q}$. Let $L$ be the splitting field of $f(x)$. Suppose $\\mathbb{Q}(\\alpha) \\cap \\mathbb{Q}(\\beta)=\\mathbb{Q}$ for any two distinct roots $\\alpha$ and $\\beta$ of $f(x)$. Calculate the Galois group of $f(x)$ over $\\mathbb{Q}$. \... | S_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... | 2.47E-13 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... | -4316 N |
[
{
"content": "Evaluate the line integral \\(\\int \\limits_{C} F \\cdot dr\\) where \\(F(x,y) = (x, y)\\) and \\(C\\) is the Archimedes's spiral defined by \\(r = 1 + \\theta\\) for \\(\\theta \\in [0, 2\\pi]\\). Parameterize the curve \\(C\\) and determine the appropriate limits for the integral.",
"role":... | 2\pi(1 + \pi) |
[
{
"content": "Determine the highest dimension for which the classification of nilpotent Lie algebras is currently unknown.",
"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... | Weedban:
Sales: $90,000
Variable Costs: $36,000
Contribution Margin: $54,000
Traceable Fixed Costs: $45,000
Segment Income: $9,000
Greengrow:
Sales: $210,000
Variable Costs: $147,000
Contribution Margin: $63,000
Traceable Fixed Costs: $21,000
Segment Income: $42,000
Total:
Sales: $300,000
Variable Costs: $183,000
Con... |
[
{
"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... | 3.92e+21 O atoms |
[
{
"content": "Evaluate the integral: $$\\int_{0}^{2\\pi} e^{R \\cos t} \\cos(R \\sin t + 3t) \\, dt$$",
"role": "user"
}
] | 0 |
[
{
"content": "Let $d$ and $e$ denote the solutions of $3x^2+10x-25=0$. Find $(d-e)^2$.",
"role": "user"
}
] | \frac{400}{9} |
[
{
"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... | 1.23*10^3 kg/m^3 |
[
{
"content": "Determine whether there exists an infinite, residually finite abelian group.",
"role": "user"
}
] | Yes |
[
{
"content": "Determine whether every uncountable subset $S$ of $\\mathbb{R}$ contains a strictly decreasing sequence that converges to a real number.",
"role": "user"
}
] | Yes |
[
{
"content": "Determine the cardinality of the set $S$ of all functions $f: \\mathbb{R} \\to \\mathbb{R}$ such that $f(x) \\neq 0$ for only finitely many $x \\in \\mathbb{R}$.",
"role": "user"
}
] | \mathfrak{c} |
[
{
"content": "Simplify the expression \\( \\sqrt[3]{19\\sqrt{5} + 56} + \\frac{11}{\\sqrt[3]{19\\sqrt{5} + 56}} \\) to demonstrate that it equals 7.",
"role": "user"
}
] | 7 |
[
{
"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... | 44.8 g |
[
{
"content": "Consider a vector space over an infinite field that cannot be spanned by a single element. Does this imply that the vector space has an infinite number of subspaces? Answer yes or no.",
"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... | 2.80e-11 |
[
{
"content": "Find all real values of $t$ which satisfy \\[\\frac{t(2t-3)}{4t-2} \\le 0.\\]",
"role": "user"
}
] | (-\infty, 0] \cup (\tfrac12, \tfrac32] |
[
{
"content": "Evaluate the integral: \\[ \\int_{0}^{\\pi/2} \\frac{\\sin x \\cos^5 x}{(1-2\\sin^2x\\cos^2x)^2} \\, dx \\]",
"role": "user"
}
] | \dfrac{\pi}{8} |
[
{
"content": "Given the binomial coefficients defined as:\n\\begin{align*}\na &= \\binom{2015}{0} + \\binom{2015}{3} + \\binom{2015}{6} + \\dots \\\\\nb &= \\binom{2015}{1} + \\binom{2015}{4} + \\binom{2015}{7} + \\dots \\\\\nc &= \\binom{2015}{2} + \\binom{2015}{5} + \\binom{2015}{8} + \\dots\n\\end{align*}\nw... | 1 |
[
{
"content": "For a given integer \\(k\\), find a positive integer \\(d > 0\\) such that the arithmetic progression \\(A_{k,d} = \\{ k + nd \\mid n \\in \\mathbb{Z} \\} \\) contains no perfect squares.",
"role": "user"
}
] | k^2 + 1 |
[
{
"content": "The plane \\(P_1 : 4x + 7y + 4z + 81 = 0\\) is rotated through a right angle about its line of intersection with the plane \\(P_2 : 5x + 3y + 10z = 25\\). If the plane in its new position is denoted by \\(P\\), and the distance of this plane from the origin is \\(\\sqrt{d}\\), find \\(d\\).",
... | 212 |
[
{
"content": "Consider a hash function \\( H(x) \\rightarrow \\{ 0,1 \\}^{160} \\) that maps inputs to 160-bit strings. What is the minimum number of attempts required to find a collision, i.e., two different inputs \\( x_1 \\) and \\( x_2 \\) such that \\( H(x_1) = H(x_2) \\)?",
"role": "user"
}
] | 2^{80} |
[
{
"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... | 3,369,800 J |
[
{
"content": "Determine if the limit \\( \\lim_{n\\rightarrow \\infty }\\int_{-\\infty}^{\\infty}\\frac{(\\sin(x))^{n}}{x^2+1}d\\lambda(x) \\) exists, where \\( \\lambda \\) is the Lebesgue measure on \\( \\mathbb{R} \\). If it exists, calculate its value.",
"role": "user"
}
] | 0 |
[
{
"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... | 614865.82 |
[
{
"content": "Given the matrix \\( A = \\begin{bmatrix} 3 & -3 \\\\ 3 & 3 \\end{bmatrix} \\), which has eigenvalues \\(3 \\pm 3i\\) and eigenvectors \\(\\begin{bmatrix} 1 \\\\ \\pm i \\end{bmatrix}\\), find a formula for the distance from the origin of the iterates \\( x_k \\) in the discrete dynamical system \... | (3\sqrt{2})^k |
[
{
"content": "Find the inverse of the function \\( f(x) = x^3 + 4x - 1 \\) and evaluate \\( f^{-1}(4) \\).",
"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... | 1.25 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... | 1.36 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... | Telecommunication, publishers, and software enterprises |
[
{
"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... | 2.87 |
[
{
"content": "Evaluate the integral: \\[ \\int_{\\pi/2}^{5\\pi/2} \\frac{e^{\\tan^{-1}(\\sin x)}}{e^{\\tan^{-1}(\\sin x)} + e^{\\tan^{-1}(\\cos x)}} \\, dx \\]",
"role": "user"
}
] | \pi |
[
{
"content": "Find the sum of the even-indexed coefficients in the expansion of \\((1-x+x^2)^{10}\\).",
"role": "user"
}
] | 29525 |
[
{
"content": "Evaluate the line integral \\( \\int_C \\frac{\\mathrm{Re}(z)}{z} \\, \\mathrm{d}z \\), where \\( C \\) is the shortest path from \\( 1 + i \\) to \\( 5 + 5i \\).",
"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... | Investment X |
[
{
"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... | 0.344 |
[
{
"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... | 0.15 M |
[
{
"content": "The function \\( y = f(x) \\) is defined on the set \\( (0, +\\infty) \\) and takes positive values on it. It is known that for any points \\( A \\) and \\( B \\) on the graph of the function, the areas of the triangle \\( AOB \\) and the trapezoid \\( ABH_BH_A \\) are equal (where \\( H_A \\) and... | 1 |
[
{
"content": "Determine the maximum possible shortest distance between any two points among 8 points placed either on the boundary or inside an equilateral triangle with a side length of 1.",
"role": "user"
}
] | \dfrac{1}{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... | -7869 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... | Product F: $137,849
Product G: $231,014 |
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