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... | 16.07 m/s^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... | 2.45 atm |
[
{
"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... | 10.90% |
[
{
"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... | $17,208.28 |
[
{
"content": "Find the derivative of the function \\( f(v) = \\frac{v+4}{|v+4|} \\) using the definition of a derivative.",
"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... | 1; lower |
[
{
"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... | Several factors contribute to some firms becoming more international than others, including internet use, components of operation, knowledge of international trade, and optimism and growth expectations. |
[
{
"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... | 4964.4 N |
[
{
"content": "Prove that for a finite measure \\( \\mu \\) on \\([0,1]\\), the norm of the bounded linear functional \\( T(f) = \\int f \\, d\\mu \\) on \\( C[0,1] \\) is given by \\( \\|T\\| = \\mu([0,1]) \\).",
"role": "user"
}
] | \mu([0,1]) |
[
{
"content": "Find the expected value of the random variable \\(X = \\frac{S_{PQM}}{S_{ABC}}\\) given that \\(\\xi = \\frac{CM}{CB}\\) is uniformly distributed over the interval \\([0, 1]\\) and \\(\\frac{S_{PQM}}{S_{ABC}} = \\frac{6-5x}{12}\\). Calculate \\(M_{X} = \\int_{0}^{1} \\frac{6-5x}{12} \\, dx\\).",
... | \dfrac{7}{24} |
[
{
"content": "Evaluate the limit: $$\\lim_{x\\to 0} x\\int_x^1\\frac{\\cos t}{t^2}\\mathrm{d}t $$",
"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... | 17475 |
[
{
"content": "Evaluate the double integral \\( \\int_{y=0}^{y=1} \\int_{x=y}^{x=1} \\sin(\\pi x^2) \\,dx \\,dy. \\)",
"role": "user"
}
] | \dfrac{1}{\pi} |
[
{
"content": "Find the Taylor series expansion of \\( \\frac{z}{z^4+9} \\) around the point \\( z_0 = \\sqrt{\\frac{3}{2}}(1+i) \\), and determine its radius of convergence.",
"role": "user"
}
] | 0 |
[
{
"content": "Use the divergence theorem to evaluate the surface integral \\( \\iint_S \\mathbf{F} \\cdot d\\mathbf{S} \\) for the vector field \\( \\mathbf{F} = (xy^2, yz^2, x^2z) \\), where \\( S \\) is the sphere of radius 1 centered at the origin.",
"role": "user"
}
] | \dfrac{4\pi}{5} |
[
{
"content": "Two sectors of a circle of radius $12$ overlap as shown, with $P$ and $R$ as the centers of the respective circles. Determine the area of the shaded region.\n\n[asy]\ndraw((0,0)--(10.3923,-6)--(20.7846,0)--(10.3923,6)--cycle,black+linewidth(1));\nfilldraw((10.3923,6)..(12,0)..(10.3923,-6)--cycle,g... | 48\pi-72\sqrt{3} |
[
{
"content": "Calculate the volume of the solid $B$ in the first octant, bounded by the surfaces $y = x^2$, $x = y^2$, and the plane $x + y - z = -5$. Assume $x, y, z \\geq 0$. Provide your answer as a single numerical value.",
"role": "user"
}
] | \dfrac{59}{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... | 8.27% |
[
{
"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... | $130,000 |
[
{
"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... | -7.9e+04 N/C |
[
{
"content": "Evaluate the integral \\( \\oint_C \\left( \\frac{2}{z-2} - \\frac{1}{z-1} \\right) \\, dz \\) around a closed contour \\( C \\) that includes the pole \\( z=2 \\) but not the pole \\( z=1 \\), using Cauchy's integral formula.",
"role": "user"
}
] | 4\pi i |
[
{
"content": "Evaluate the integral \\( \\int \\int_R (x+y)^2 \\sin(x-y) \\, dA \\), where \\( R \\) is the region in the plane bounded by the square with vertices \\((1,0), (0,1), (1,2), (2,1)\\).",
"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... | 185.6 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... | 1.835 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... | 34.269 N |
[
{
"content": "Given a sequence of bounded operators $\\{T(t)\\}_{t\\ge0}$ on the Banach space $C_0(\\mathbb R^d)$, equipped with the supremum norm $|f|_0 := \\sup_{x\\in\\mathbb R^d}|f(x)|$, where the condition $\\int_0^\\infty \\|T(t)\\| dt < \\infty$ holds, define the following operators:\n\n1. $A := \\int_0^... | A = B = C |
[
{
"content": "If $D$ is an open, connected set in $\\mathbb{C}$, is it true that any uncountable subset of $D$ has a limit point in $D$? Provide a justification for your answer.",
"role": "user"
}
] | Yes |
[
{
"content": "Determine the values of $t$ for which the integral \\( \\int_{0}^{\\pi} |\\cos x|^{-t} \\, dx \\) converges. Specifically, analyze the behavior of the integral for \\( t \\in (-\\infty,1) \\) and \\( t \\in [1,\\infty) \\).",
"role": "user"
}
] | (-\infty, 1) |
[
{
"content": "Determine whether the product of two transcendental numbers can be a rational number.",
"role": "user"
}
] | Yes |
[
{
"content": "Evaluate the limit: \\[ \\lim_{x\\to 3^-} \\frac{(e^{(x+3)\\ln 27})^{\\frac{x}{27}} -9}{3^x-27} \\] Simplify the expression to find the limit.",
"role": "user"
}
] | \dfrac{1}{3} |
[
{
"content": "Evaluate the integral \\( \\int_{-1}^{1} \\frac{x^{2}}{x^{2}+2x+2} \\, dx \\) to an accuracy of 0.1 units.",
"role": "user"
}
] | 0.4 |
[
{
"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... | $675,000.00 |
[
{
"content": "Find all pairs of positive integers $(a, b)$ such that $a^2 + a + 3 = b^2$.",
"role": "user"
}
] | (2, 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... | 480.50 kg/m^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... | 98000 N/m^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... | 1.89 x 10^4 mL |
[
{
"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... | 16.50% |
[
{
"content": "Evaluate the integral \\( \\int_{1}^{e} \\frac{dx}{x(\\ln x + 1)} \\) using the substitution \\( u = \\sqrt[3]{\\ln x} \\).",
"role": "user"
}
] | \ln 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... | 1.80 |
[
{
"content": "Solve the two-variable differential equation: $$(\\frac{d}{dt}x)y - (\\frac{d}{dt}y)x = 0.$$",
"role": "user"
}
] | x = Cy |
[
{
"content": "Is the set \\( K' = \\{f \\in l^1 : |f(k)| \\leq \\frac{1}{k^2} \\ \\ \\forall k\\} \\) compact in \\( l^1 \\)?",
"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... | 726.79 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... | 9.44 radian/sec |
[
{
"content": "Evaluate the limit: $$\\lim_{(x, y) \\to (1, 1)} e^{\\frac{1}{(x-1)^2 + (y-1)^2}}$$",
"role": "user"
}
] | \infty |
[
{
"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... | 1.46e21 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... | $170,753 |
[
{
"content": "Determine whether every monomorphism in the category of groups is an equalizer. Answer true or false.",
"role": "user"
}
] | A |
[
{
"content": "The line $y = \\frac{5}{3} x - \\frac{17}{3}$ is to be parameterized using vectors. Which of the following options are valid parameterizations?\n\n(A) $\\begin{pmatrix} x \\\\ y \\end{pmatrix} = \\begin{pmatrix} 4 \\\\ 1 \\end{pmatrix} + t \\begin{pmatrix} -3 \\\\ -5 \\end{pmatrix}$\n\n(B) $\\beg... | \text{A,C} |
[
{
"content": "Find the product of all solutions of the equation \\(\\left(\\frac{x^2-5x}{6}\\right)^{x^2-2}=1\\) and multiply it by the number of solutions.",
"role": "user"
}
] | 120 |
[
{
"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... | 4833 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... | $1,417,000 |
[
{
"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... | 10.55 rad/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... | 8.00% |
[
{
"content": "Given the function \\(F(x) = \\int_0^x (x-t)^n u(t) \\, dt\\), find \\(F^{(n+1)}(x)\\).",
"role": "user"
}
] | n! \, u(x) |
[
{
"content": "Define the sequence \\(\\{a_n\\}\\) where \\(a_n = n^3 + 4\\) for \\(n \\in \\mathbf{N}_+\\). Let \\(d_n = \\gcd(a_n, a_{n+1})\\), which is the greatest common divisor of \\(a_n\\) and \\(a_{n+1}\\). Find the maximum value of \\(d_n\\).",
"role": "user"
}
] | 433 |
[
{
"content": "Evaluate the integral \\( \\int_0^{\\frac{\\pi}{2}} \\frac{1}{1+\\tan^{2017}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... | {\lambda}=\frac{2\pi}{k} |
[
{
"content": "Given four points on a plane and their displacement vectors after a rotation, determine the center of rotation.",
"role": "user"
}
] | (h, k) |
[
{
"content": "Let \\( G = \\mathbb{Z} \\times \\mathbb{Z} \\) and \\( H = 35 \\mathbb{Z} \\times 97 \\mathbb{Z} \\). Determine the order of the quotient group \\( |G/H| \\).",
"role": "user"
}
] | 3395 |
[
{
"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... | 2.569 mm |
[
{
"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... | e=-(V_A-V_B)/( U_A-U_B ) |
[
{
"content": "Consider a convex polynomial $p(x_1, x_2, \\dots, x_n)$ such that $p(x_1, x_2, \\dots, x_n) \\ge 0$ for all $x_1, x_2, \\dots, x_n \\in \\mathbb{R}^n$. Does the polynomial reach its minimum value?",
"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... | 3 x 10^8 |
[
{
"content": "Evaluate the limit: $$\\lim_{(x,y)\\to(0,0)} (x^2+y^2)^{x^2y^2}.$$ Determine the correct value of the limit.",
"role": "user"
}
] | 1 |
[
{
"content": "Determine the minimum value of $n$ such that the number of iterations of the function $p(n)$, which reduces $n$ to 1, equals $k$. For example, $m(1)=2$, $m(2)=4$, and $m(3)=16$. Find $m(4)$. Is $m(k)$ always a power of 2?",
"role": "user"
}
] | 256 |
[
{
"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... | 265 rad |
[
{
"content": "Given the equations \\( x = \\min(\\max(y,z+w), k-w) \\) and \\( z = \\min(c, k-2w) \\), where \\( x, y, z, w, k \\) are real numbers and \\( w > 0 \\), determine if the inequality \\( z+w \\le x \\) is always true.",
"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... | 906.28 |
[
{
"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... | 52920 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... | 422 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... | x = (u^2 * sin(2f))/g + (e*u^2 * sin(2f))/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... | pH = -log[H+] |
[
{
"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... | 10.7 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... | 10.2 meters |
[
{
"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... | 9.81 m/s^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... | $58.70 |
[
{
"content": "Determine whether there exists a non-linear transformation $T: V \\rightarrow V$ on a vector space $V$ over the complex numbers $\\mathbb{C}$ such that $T(x+y) = T(x) + T(y)$ for all vectors $x, y \\in V$. 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... | 6.00e+2 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... | SiO_2(s) + 6HF(aq) rarr SiF_6^(2-) + 2H_3O^(+) |
[
{
"content": "Evaluate the double summation \\( \\sum_{j=0}^{n}\\sum_{i=j}^{n} {n \\choose i}{i \\choose j} \\).",
"role": "user"
}
] | 3^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... | $137,762.17 |
[
{
"content": "Calculate the limit: $$\\lim_{n\\to \\infty} \\frac{1}{n}\\sqrt[n]{(n+1)(n+2)(n+3)\\ldots(n+n)}$$",
"role": "user"
}
] | \dfrac{4}{e} |
[
{
"content": "For a given base $b$, determine the probability that a normal number contains a sequence of digits that repeats infinitely often.",
"role": "user"
}
] | 1 |
[
{
"content": "The graphs of the equations\n$y=k, \\qquad y=\\sqrt{3}x+2k, \\qquad y=-\\sqrt{3}x+2k,$\nare drawn in the coordinate plane for $k=-10,-9,-8,\\ldots,9,10.\\,$ These 63 lines cut part of the plane into equilateral triangles of side $2/\\sqrt{3}.\\,$ How many such triangles are formed?",
"role": "... | 660 |
[
{
"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... | 0.6116 |
[
{
"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... | 0.94 |
[
{
"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... | Decrease profits by $11,000 |
[
{
"content": "Determine the radius of convergence for the series \\( S=\\sum_{n=1}^{\\infty}\\frac{(-2)^{n}+3^{n}}{n}x^{n} \\) using the root test.",
"role": "user"
}
] | \dfrac{1}{3} |
[
{
"content": "Determine whether the following statement is true or false: If $M$ is an even-dimensional smooth manifold, then there exists a nondegenerate 2-form on $M$. Provide a justification for your answer.",
"role": "user"
}
] | False |
[
{
"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... | 36.45 grams |
[
{
"content": "Find the distance between the points $(2,2)$ and $(-1,-1)$.",
"role": "user"
}
] | 3\sqrt{2} |
[
{
"content": "Find the limit \\( \\lim_{n\\to\\infty} \\int_0^n\\left(1-\\frac{x}{n}\\right)^n\\log(2+\\cos(x/n)) \\, dx \\).",
"role": "user"
}
] | \log 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... | 2489.8 kg |
[
{
"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... | 4.22 m |
[
{
"content": "Evaluate the line integral \\( \\int_{\\mathbf{C}} (1+2z+3z^2+4z^3) \\, \\text{d}z \\), where \\( C = \\{ e^{i\\theta} : 0 \\leq \\theta \\leq \\pi \\} \\).",
"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... | 120.54 nm |
[
{
"content": "Let $p$ and $q$ be the two distinct solutions to the equation $$(x-5)(2x+9) = x^2-13x+40.$$What is $(p + 3)(q + 3)$?",
"role": "user"
}
] | -112 |
[
{
"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... | $23.94 |
[
{
"content": "Given that the complex numbers \\( z_{1}, z_{2} \\) correspond to the points \\( A, B \\) respectively in the complex plane, and \\( \\left|z_{2}\\right| = 4 \\) and \\( 4z_{1}^2 - 2z_{1}z_{2} + z_{2}^2 = 0 \\), find the area of the triangle \\( AOB \\). Choose the correct answer from the followin... | D |
[
{
"content": "A point is randomly selected from the interval [6, 11]. Let $k$ be the selected value. Determine the probability that the roots of the quadratic equation $(k^2 - 2k - 24)x^2 + (3k - 8)x + 2 = 0$ satisfy the condition $x_1 \\leq 2x_2$. Express your answer as a probability.",
"role": "user"
}
... | \dfrac{2}{3} |
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