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... | {eq}Cv=(\frac{\partial S}{\partial\ln T})v{/eq} |
[
{
"content": "A square has two diagonals, and a convex pentagon has five diagonals. How many diagonals does a convex decagon have?",
"role": "user"
}
] | 35 |
[
{
"content": "Find the minimum value of the expression \\(\\frac{25 x^{2} \\sin ^{2} x + 16}{x \\sin x}\\) for \\(0 < x < \\pi\\).",
"role": "user"
}
] | 40 |
[
{
"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... | 93 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... | f=30+m(-26.45) |
[
{
"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... | 31.2 g Pb |
[
{
"content": "Let \\(f: \\mathbb{R} \\to \\mathbb{C}\\) be a function and define \\(g(x) = \\sup_{|y| > |x|} |f(y)|\\) for \\(x, y \\in \\mathbb{R}\\). Determine whether the inequality \\(|f(x)| \\leq |g(x)|\\) holds for all \\(x \\in \\mathbb{R}\\).",
"role": "user"
}
] | No |
[
{
"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 million |
[
{
"content": "Determine the range of values for \\(a\\) such that the function \\(f(x) \\propto x^{-a}\\) is a valid probability density function for a continuous random variable \\(X\\) with range \\([x_l, \\infty)\\), where \\(x_l > 0\\).",
"role": "user"
}
] | a > 1 |
[
{
"content": "In an additive category $\\mathcal{A}$, if $A \\oplus C \\cong A$ for objects $A$ and $C$, must it be true that $C \\cong 0$?",
"role": "user"
}
] | No |
[
{
"content": "Evaluate the limit: $$\\lim_{x\\rightarrow 0}\\frac{x \\ln x+2x\\ln \\sin \\left(\\frac{1}{\\sqrt{x}} \\right)}{\\sin^2 x}$$",
"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... | -13.98 cm/s |
[
{
"content": "Let $a, b, c, d$ be four distinct non-zero integers such that $a + b + c + d = 0$. It is known that the number \\( M = (bc - ad)(ac - bd)(ab - cd) \\) lies strictly between 96100 and 98000. Determine the value of \\( M \\).",
"role": "user"
}
] | 97344 |
[
{
"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... | $9,450 |
[
{
"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... | 5.0e+3 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... | 1.57e+22 atoms |
[
{
"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... | 8.33 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... | 563.13 W |
[
{
"content": "Evaluate the expression \\( \\frac{\\int_0^{\\pi}x^3\\log(\\sin x)\\,dx}{\\int_0^{\\pi} x^2 \\log(\\sqrt{2} \\sin x)\\,dx} \\).",
"role": "user"
}
] | \dfrac{3\pi}{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... | 6.93 * 10^-7 m |
[
{
"content": "Identify the closed sets in the real numbers \\(\\mathbb{R}\\) that have at least one limit point and form a subgroup under the operation of addition \\((\\mathbb{R}, +)\\).",
"role": "user"
}
] | \mathbb{R} |
[
{
"content": "Let \\( f: S^1 \\to S^1 \\) be defined by \\( f(z) = z^n \\), where \\( n \\in \\mathbb{N} \\). Determine the image of the generator \\( g \\) of \\( H_1(S^1) \\) under the induced map \\( f_*: H_1(S^1) \\to H_1(S^1) \\).",
"role": "user"
}
] | n \cdot 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... | 2NH_4ClO_4(s) \rightarrow N_2(g) + Cl_2(g) + 4H_2O(g) + 2O_2(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... | 1.52e+03 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... | 1.75 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... | 1.419 moles of sodium acetate and 6.005 g of acid |
[
{
"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... | y = (Z - X2) / (X1 - X2) |
[
{
"content": "Consider the norm $\\|f\\|^2=\\int_0^1 f(y)^2 dy$, and let $X$ be a random variable taking values in $L^2[0,1]$. Is bounding $P(X(y)\\leq c) \\geq 1-\\delta$ for every $y\\in[0,1]$ sufficient to establish the inequality $P(\\|X\\|\\leq c) \\geq 1-\\delta$? Answer yes or no.",
"role": "user"
... | No |
[
{
"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... | 7.32% |
[
{
"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... | (90.9%*19.99+0.3%*20.99+8.8%*21.99)g/mol |
[
{
"content": "Consider the recursive sequence defined by \\(a_{n+1} = \\sqrt{a_n - 1} + a_n\\) with the initial term \\(a_1 = 4\\). Determine whether the sequence \\(\\{a_n\\}\\) converges or diverges. If it converges, find the limit \\(\\lim_{{n \\to \\infty}} a_n\\).",
"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... | 4.8 * 10^7 revolutions |
[
{
"content": "Evaluate the limit: $$\\lim_{n\\to\\infty}\\left(3^n-2^n\\cdot n\\cdot\\cos^2{\\frac{n}{3}}\\right)^{\\left(\\frac{1}{3n-n\\sin{\\frac{1}{n}}}\\right)}$$",
"role": "user"
}
] | \sqrt[3]{3} |
[
{
"content": "Given an invertible function $f(x)$ and a strictly monotonic and strictly positive function $m(x)$ defined on the real numbers, determine whether the composite function $g(x) = m(f(x))$ is invertible. Justify 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... | -4.08 ft/s |
[
{
"content": "Evaluate the triple integral: $$\\int_{0}^{2}\\int_{6}^{1}\\int_{0}^{1} xyz\\sqrt{2-y^2-x^2}\\,dx\\,dy\\,dz$$",
"role": "user"
}
] | \dfrac{8\sqrt{2} - 4}{15} |
[
{
"content": "What is the expected value of a random variable $X$ that follows the negative binomial distribution with parameters $r$ and $p$?",
"role": "user"
}
] | \dfrac{r}{p} |
[
{
"content": "Find the value of $t$ that satisfies $\\frac{1}{t+2} + \\frac{2t}{t+2} - \\frac{3}{t+2} = 3$.",
"role": "user"
}
] | -8 |
[
{
"content": "Given the joint probability density function of the bivariate random variable $(X,Y)$:\n\n$$f_{XY}(x,y) = \\frac{1}{\\sqrt{3 \\pi } } e^{ -\\frac{2}{3} ( x^2 - xy + y^2 ) }$$\n\nCalculate the variance of the random variable $Y$.",
"role": "user"
}
] | 1 |
[
{
"content": "Evaluate the limit: \\( \\lim_{x \\to 0} \\frac{\\sqrt{1-\\cos(x^2)}}{1-\\cos x} \\)",
"role": "user"
}
] | \sqrt{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... | 3.25% |
[
{
"content": "Evaluate the improper integral \\( \\int_{0}^{\\infty} e^{-x}\\sin(x) \\, dx \\) using integration by parts.",
"role": "user"
}
] | \dfrac{1}{2} |
[
{
"content": "Evaluate the double integral \\(\\int^{1}_{0}\\int^{\\sqrt{1-x^2}}_{0}xy(x^2+y^2) \\, dy \\, dx\\) using a suitable substitution.",
"role": "user"
}
] | \dfrac{1}{12} |
[
{
"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... | 4.6% |
[
{
"content": "Evaluate the limit: \\[ \\lim_{n \\to \\infty} \\frac{2^{n/\\log_2 n} (\\log_2 n)^4}{n^3} \\]",
"role": "user"
}
] | \infty |
[
{
"content": "Evaluate the double integral \\( \\iint_R (x^2 - y^2) \\, dA \\), where \\( R \\) is the region defined by the inequality \\( x^2 - y^2 \\geq a^2 \\).",
"role": "user"
}
] | \infty |
[
{
"content": "The graph of $x^2 - 2xy + 3y^2 = 5$ is an ellipse, although its axes are not parallel to the coordinate axes. Two horizontal lines and two vertical lines lie tangent to the ellipse, forming a rectangle, as shown:\n[asy]\nsize(7cm);\ndraw(rotate(20)*xscale(2.4)*unitcircle);\ndraw((-3.5,0)--(3.5,0),... | 10\sqrt3 |
[
{
"content": "Let \\( f: X \\to S \\) be a holomorphic morphism of Hausdorff complex manifolds, and let \\( s \\in S \\) such that \\( f^{-1}(s) \\) is compact. Is there an open neighborhood \\( U \\) of \\( s \\) in \\( S \\) such that \\( f \\) is proper over \\( U \\)?",
"role": "user"
}
] | Yes |
[
{
"content": "Determine the dimension of the quotient ring \\( \\mathbb{C}[x,y]/I \\) over \\( \\mathbb{C} \\), where \\( I=\\langle(x+2)^2,(x+2)(y+1),(y+1)^3\\rangle \\) and \\( \\mathbb{C}[x,y] \\) is the polynomial ring over \\( \\mathbb{C} \\).",
"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... | 0.0596 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... | Year 1: Earnings before depreciation and taxes: $390,000, Depreciation: $266,400, Earnings before taxes: $123,600, Taxes: $44,496, Earnings after taxes: $79,104, Depreciation Cash flow: $345,504 ; Year 2: Earnings before depreciation and taxes: $390,000, Depreciation: $356,000, Earnings before taxes: $34,000, Taxes: $1... |
[
{
"content": "Find the 4th element of the 1,000,000th permutation of the sequence [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] without generating all permutations.",
"role": "user"
}
] | 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... | 0.592 M^{-2}s^{-1} |
[
{
"content": "Suppose $f_n \\to f$ in measure and $|f_n| \\leq g$ for some $g \\in L^p$. If $g_n \\to g$ in $L^p$, does it follow that $f_n g_n \\to fg$ in $L^p$? Answer yes or no and justify your answer.",
"role": "user"
}
] | No |
[
{
"content": "Determine the number of ways to distribute $k$ different items among $n$ different people such that each item is shared among exactly $r$ people.",
"role": "user"
}
] | \dbinom{n}{r}^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... | $432.44 |
[
{
"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 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... | 5.445e22 N.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... | October 1, 2017:
Debit Note Receivable $193,200
Credit Revenues $193,200
December 31, 2017:
Debit Interest Receivable $4,830
Credit Interest Income $4,830
October 31, 2018:
Debit Cash $19,320
Credit Interest Receivable $4,830
Credit Interest Income $14,490
December 31, 2018:
Debit Interest Receivable $4,830
Credit I... |
[
{
"content": "Evaluate the integral \\(\\int_{0}^{2\\pi} e^{\\sin t} \\ dt\\).",
"role": "user"
}
] | 2\pi I_0(1) |
[
{
"content": "Determine which is greater: $600!$ or $300^{600}$.",
"role": "user"
}
] | 300^{600} |
[
{
"content": "Find the coefficient of \\(x^{62}\\) in the expansion of \\((x^3 - \\frac{1}{x^5})^{50}\\).",
"role": "user"
}
] | -37353738800 |
[
{
"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... | 9.72e-8 m |
[
{
"content": "Calculate the value of \\( f'(\\sqrt{\\pi}) + g'(\\sqrt{\\pi}) \\) for the functions \\( f(x) = \\left(\\int_{0}^{x} e^{-t^2}dt\\right)^2 \\) and \\( g(x) = \\int_{0}^{1} \\frac{e^{-x^2(1+t^2)}}{1+t^2} dt \\).",
"role": "user"
}
] | 0 |
[
{
"content": "Given $\\alpha$ and $\\beta$ are roots of the polynomials $X^3-2$ and $X^3-5$ respectively, find the degree of the field extension $[\\mathbb{Q}(\\alpha,\\beta):\\mathbb{Q}]$. Express your answer as an integer.",
"role": "user"
}
] | 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... | $145,496 |
[
{
"content": "If $X_n \\xrightarrow[]{p} c$, does this imply that $\\vert X_n\\vert \\xrightarrow[]{p}\\vert c\\vert$? Answer yes or no and justify 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... | 6.43 |
[
{
"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... | 3.719e-5 A |
[
{
"content": "Compute the limit of the series \\( \\sum_{n=3}^\\infty \\frac{n^2}{2^n} \\).",
"role": "user"
}
] | \dfrac{9}{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... | 430.24 |
[
{
"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... | 86.2 g/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... | 1210 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... | 0.00166 cm |
[
{
"content": "Calculate \\( \\lim\\limits_{n \\to \\infty} f_n(x) \\) for the sequence \\((f_n)\\) defined by \\( f_n(x) = \\sqrt{\\int_0^x f_{n-1}(t) \\, \\mathrm{d}t} \\), where \\( f_0(x) \\) is integrable on \\([0,1]\\) and \\( f_0(x) > 0 \\).",
"role": "user"
}
] | \dfrac{x}{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... | $180 |
[
{
"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... | 138 units |
[
{
"content": "Evaluate the infinite series \\( \\sum \\limits_{n=1}^{\\infty} (-1)^{n}\\frac{n^2}{2^n} \\).",
"role": "user"
}
] | -\dfrac{2}{27} |
[
{
"content": "In a one-dimensional random walk, a person starts at the origin and can move to \\((x+1,0)\\) or \\((x-1,0)\\) with equal probability of 0.5. What is the expected number of steps for the person to return to the origin?",
"role": "user"
}
] | \infty |
[
{
"content": "Evaluate the line integral \\( \\int_{C} F(r) \\cdot dr \\) where \\( F = [x^3, e^{2y}, e^{-yz}] \\) and the curve \\( C \\) is defined by \\( x^2 + 9y^2 = 9, z = x^2 \\). Use a suitable parametrization to solve the integral.",
"role": "user"
}
] | 0 |
[
{
"content": "Given a triangle \\( \\triangle ABC \\) with sides \\( a, b, c \\) opposite to angles \\( A, B, C \\) respectively, and \\( a^{2} + b^{2} = c^{2} + \\frac{2}{3}ab \\). If the circumradius of \\( \\triangle ABC \\) is \\( \\frac{3\\sqrt{2}}{2} \\), find the maximum possible area of \\( \\triangle A... | 4\sqrt{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... | 4.0 |
[
{
"content": "Solve the differential equation \\( y'+6y(t)+9\\int_0^t y(\\tau)d\\tau=1 \\) with the initial condition \\( y(0)=0 \\).",
"role": "user"
}
] | t e^{-3t} |
[
{
"content": "Evaluate the limit: $$\\lim_{n\\rightarrow \\infty}\\frac{(n)(n-1)(n-2)...(n-k+1)}{k! n^k}$$",
"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... | s(t) = -16t^2 + 8t + 40 |
[
{
"content": "Determine the value of \\( n \\) for the slant asymptote of the function \\( f(x) = xe^{\\frac{1}{x-2}} \\), given that the slant asymptote can be expressed as \\( y = x + n \\).",
"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... | $893.26 |
[
{
"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... | $1.63 |
[
{
"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... | $3,938 |
[
{
"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... | [Year 1: $55,332, Year 2: $24,804, Year 3: $26,712, Year 4: $49,608, Year 5: $45,792, Year 6: $36,252] |
[
{
"content": "Evaluate the limit: \\[ \\lim_{n\\to\\infty} \\left(\\frac{1}{n+1} + \\frac{1}{n+1} + \\dots +\\frac{1}{2n}\\right) \\] Choose the correct answer from the following options: \\(0\\), \\(1\\), \\(2\\), \\(\\log 2\\).",
"role": "user"
}
] | \log 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... | The equivalent units of production for materials are 439,010 units, and for conversion costs, they are 430,130 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... | 14.691 m/s |
[
{
"content": "In a semidirect product group where $N$ is a normal subgroup generated by $a$ and $b$, is it true that $ab = ba$? Justify your answer.",
"role": "user"
}
] | No |
[
{
"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... | 3.027 kN |
[
{
"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... | 0.73 |
[
{
"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... | 2.78 s |
[
{
"content": "Line $a$ is parallel to line $y=2x+4$ and passes through the point $(2,5)$. What is the y-intercept of line $a$?",
"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... | 11.534 |
[
{
"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... | a=((v1-v2)^2)/(2(s1-s2)) |
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