Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18001	Solve for x	x^2+(( square root of 3)/2)^2=1	$x^{2} + {(\frac{\sqrt{3}}{2})}^{2} = 1$
18002	Find the Holes in the Graph	y=(x^2-2)/(x+2)	$y = \frac{x^{2} - 2}{x + 2}$
18003	Expand the Logarithmic Expression	natural log of square root of (6x)/(x-6)	$\ln (\sqrt{\frac{6 x}{x - 6}})$
18004	Simplify	square root of (21x)/(6y)	$\sqrt{\frac{21 x}{6 y}}$
18005	Simplify	(7x^2y^2+12xy^2-3x^2y+11)+(4xy-13x^2y+7)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (4 x y - 13 x^{2} y + 7)$
18006	Solve the Function Operation	f(x)=3x+6 if x<=-2; -(x-1)^2 if -2=1 Find f(-2)	$f (x) = {\begin{cases} 3 x + 6 & x \leq - 2 \\ - {(x - 1)}^{2} & - 2 = 1 \end{cases}$ Find $f (- 2)$
18007	Find the Derivative - d/dy	1+2xe^y	$1 + 2 x e^{y}$
18008	Solve for c	\|(4c)/5+6\|-6=-5	$\| \frac{4 c}{5} + 6 \| - 6 = - 5$
18009	Add	1/4+1/2+1/4+3/4+1+1 1/2+1/2+1 3/4+1/2+1/2	$\frac{1}{4} + \frac{1}{2} + \frac{1}{4} + \frac{3}{4} + 1 + 1 \frac{1}{2} + \frac{1}{2} + 1 \frac{3}{4} + \frac{1}{2} + \frac{1}{2}$
18010	Simplify	(5x^-6y^-2)/y	$\frac{5 x^{- 6} y^{- 2}}{y}$
18011	Find the Vertex	Y=-3(x+2)^2+4	$Y = - 3 {(x + 2)}^{2} + 4$
18012	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-3x^2-4x+2 is divided by x+1	Use synthetic division to find the result when $3 x^{3} - 3 x^{2} - 4 x + 2$ is divided by $x + 1$
18013	Divide	( cube root of 135)/( cube root of 40)	$\frac{\sqrt[3]{135}}{\sqrt[3]{40}}$
18014	Simplify	1/2(85x-25(x-2))	$\frac{1}{2} (85 x - 25 (x - 2))$
18015	Solve for x	2x+3/(x-1)=(3x)/(x-1)	$2 x + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
18016	Graph	1/2x+8<=3	$\frac{1}{2} x + 8 \leq 3$
18017	Simplify	9x^4-2x^2+7x-8x^3+x^5-4	$9 x^{4} - 2 x^{2} + 7 x - 8 x^{3} + x^{5} - 4$
18018	Write in Standard Form	(2c+5d)^3	${(2 c + 5 d)}^{3}$
18019	Evaluate	(10^(x/6))(10^(x/8))=10^10	$(10^{\frac{x}{6}}) (10^{\frac{x}{8}}) = 10^{10}$
18020	Simplify	(x^(3/5))^(-1/2)	${(x^{\frac{3}{5}})}^{- \frac{1}{2}}$
18021	Solve for x	1/4(x+2)^(1/3)-5=-4	$\frac{1}{4} {(x + 2)}^{\frac{1}{3}} - 5 = - 4$
18022	Solve for x	square root of (x-2)*(x+3)+4=2	$\sqrt{(x - 2) \cdot (x + 3) + 4} = 2$
18023	Simplify	(x^3)/((2x^2)*(3x^2))	$\frac{x^{3}}{(2 x^{2}) \cdot (3 x^{2})}$
18024	Evaluate the Limit	limit as x approaches 1/4 of 2x^2-7	$lim_{x \to \frac{1}{4}} 2 x^{2} - 7$
18025	Solve the Function Operation	f(x)=3x^2+5x+15 g(x)=-3x+13 Find: (gof)(x)	$f (x) = 3 x^{2} + 5 x + 15$ $g (x) = - 3 x + 13$ Find: $((g \circ f)) (x)$
18026	Plot	y>x+3	$y > x + 3$
18027	Solve the Inequality for x	1/(\|2x-3\|)>2	$\frac{1}{\| 2 x - 3 \|} > 2$
18028	Graph	y=5+ square root of -x	$y = 5 + \sqrt{- x}$
18029	Find the Exact Value	12tan(pi/4)^2+24sec(pi/4)^2	$12 \tan^{2} (\frac{π}{4}) + 24 \sec^{2} (\frac{π}{4})$
18030	Subtract	11 cube root of 135-4 cube root of 5	$11 \sqrt[3]{135} - 4 \sqrt[3]{5}$
18031	Factor	Factor x^2+11x+24	Factor $x^{2} + 11 x + 24$
18032	Find the Exact Value	sin((5pi)/4)cos(-(11pi)/6)	$\sin (\frac{5 π}{4}) \cos (- \frac{11 π}{6})$
18033	Find the Exact Value	fourth root of 25^2	$\sqrt[4]{25^{2}}$
18034	Solve the Inequality for c	c-5>=4	$c - 5 \geq 4$
18035	Solve for x	(tan(x)+ square root of 3)(2sin(x)-1)=0	$(\tan (x) + \sqrt{3}) (2 \sin (x) - 1) = 0$
18036	Simplify	(9r)/(r^2-4)-(8r+1)/(r^2-4r+4)	$\frac{9 r}{r^{2} - 4} - \frac{8 r + 1}{r^{2} - 4 r + 4}$
18037	Factor	2kx+4mx-2nx-3ky-6my+3ny	$2 k x + 4 m x - 2 n x - 3 k y - 6 m y + 3 n y$
18038	Solve for x	-4(2x-5)-(7-3x)=4(x+3)	$- 4 (2 x - 5) - (7 - 3 x) = 4 (x + 3)$
18039	Solve for u	(100-4u)/3=(5u+6)/4+6	$\frac{100 - 4 u}{3} = \frac{5 u + 6}{4} + 6$
18040	Convert to a Decimal	5.5rad	$5.5$ radians
18041	Divide	(8x+4+3x^2)/(3x+2)	$\frac{8 x + 4 + 3 x^{2}}{3 x + 2}$
18042	Simplify	((x^2+x-12)/(x^2-x-20))÷((3x^2-24x+45)/(12x^2-48x-60))	$\frac{x^{2} + x - 12}{x^{2} - x - 20} \div \frac{3 x^{2} - 24 x + 45}{12 x^{2} - 48 x - 60}$
18043	Subtract	(7v-v^2+14)-(15+8v+v^2)	$(7 v - v^{2} + 14) - (15 + 8 v + v^{2})$
18044	Find the Exact Value	2sec(pi/4)+4cot(pi/3)	$2 \sec (\frac{π}{4}) + 4 \cot (\frac{π}{3})$
18045	Graph	x>=3 y>=2x-1	$x \geq 3$ $y \geq 2 x - 1$
18046	Solve in Terms of the Arbitrary Variable Sₙ	S_n=120 , n=8 , a_n=36	$S_{n} = 120$ , $n = 8$ , $a_{n} = 36$
18047	Solve the Inequality for m	m+1/5<-1 2/3	$m + \frac{1}{5} < - 1 \frac{2}{3}$
18048	Solve for v	-9 1/2+v=8/9	$- 9 \frac{1}{2} + v = \frac{8}{9}$
18049	Simplify the Radical Expression	fourth root of 3/8	$\sqrt[4]{\frac{3}{8}}$
18050	Evaluate	( square root of 3)/2*(-2/1)	$\frac{\sqrt{3}}{2} \cdot (- \frac{2}{1})$
18051	Simplify	(a+b-(2ab)/(a+b))÷((a-b)/(a+b)+b/a)	$(a + b - \frac{2 a b}{a + b}) \div (\frac{a - b}{a + b} + \frac{b}{a})$
18052	Solve for y	(0.75)(5y)-y=8.25	$(0.75) (5 y) - y = 8.25$
18053	Find the Domain and Range	1/2 cube root of x+6	$\frac{1}{2} \sqrt[3]{x + 6}$
18054	Integrate Using u-Substitution	integral from 0 to pi/4 of (sin(t))/(cos(t)^2) with respect to t	$\int_{0}^{\frac{π}{4}} \frac{\sin (t)}{\cos^{2} (t)} d t$
18055	Solve the Inequality for x	6 square root of x-1<=18	$6 \sqrt{x - 1} \leq 18$
18056	Simplify	((2x^-5)/(12y^-3))^0	${(\frac{2 x^{- 5}}{12 y^{- 3}})}^{0}$
18057	Simplify the Radical Expression	square root of 2/50	$\sqrt{\frac{2}{50}}$
18058	Evaluate	i^25i^23i^33	$i^{25} \cdot i^{23} \cdot i^{33}$
18059	Solve the Inequality for x	2/(x+4)>=1/(x+1)	$\frac{2}{x + 4} \geq \frac{1}{x + 1}$
18060	Evaluate	2-pi/2	$2 - \frac{π}{2}$
18061	Find the Equation Given the Roots	-1 , -1 , 2i	$- 1$ , $- 1$ , $2 i$
18062	Solve for y	2/(y+2)-y/(2-y)=(y^2+4)/(y^2-4)	$\frac{2}{y + 2} - \frac{y}{2 - y} = \frac{y^{2} + 4}{y^{2} - 4}$
18063	Find dy/dx	1+3y^3-5y^2+x^2=0	$1 + 3 y^{3} - 5 y^{2} + x^{2} = 0$
18064	Evaluate the Integral	integral of (6 square root of x^3+7 cube root of x^2) with respect to x	$\int (6 \sqrt{x^{3}} + 7 \sqrt[3]{x^{2}}) d x$
18065	Solve the System of Equations	2x=-10y+6 and x+5y=3	$2 x = - 10 y + 6$ and $x + 5 y = 3$
18066	Solve for x	6/2=4/x	$\frac{6}{2} = \frac{4}{x}$
18067	Solve for h	V=Lwh for h	$V = L w h$ for $h$
18068	Solve for x	(5x/6)(5x/2)=5^16	$(5 \frac{x}{6}) (5 \frac{x}{2}) = 5^{16}$
18069	Graph	y=9^1-x^2	$y = 9^{1} - x^{2}$
18070	Find the Roots (Zeros)	P(x)=2x^4+2x^3+2x^2+15x-9	$P (x) = 2 x^{4} + 2 x^{3} + 2 x^{2} + 15 x - 9$
18071	Solve for Z	Z^2=49	$Z^{2} = 49$
18072	Simplify	(2^4*6^4)^(-1/4)	${(2^{4} \cdot 6^{4})}^{- \frac{1}{4}}$
18073	Simplify	(3x^6b^5)/7*14/(15x^7b^3)	$\frac{3 x^{6} b^{5}}{7} \cdot \frac{14}{15 x^{7} b^{3}}$
18074	Solve by Addition/Elimination	y=4+x y=-5x+16	$y = 4 + x$ $y = - 5 x + 16$
18075	Find the Degree, Leading Term, and Leading Coefficient	x/9-1	$\frac{x}{9} - 1$
18076	Solve the Inequality for x	-2<8-2x<=-1	$- 2 < 8 - 2 x \leq - 1$
18077	Multiply	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
18078	Solve Using the Quadratic Formula	x^2+x=7x+16	$x^{2} + x = 7 x + 16$
18079	Simplify	(2-i)/5(i+2)	$\frac{2 - i}{5} (i + 2)$
18080	Solve the System of Equations	y=x^2-2x+2 x+y=1	$y = x^{2} - 2 x + 2$ $x + y = 1$
18081	Solve for c	25c^2-5c-16=-4	$25 c^{2} - 5 c - 16 = - 4$
18082	Solve for x	4(x+1 1/3)=9 2/3	$4 (x + 1 \frac{1}{3}) = 9 \frac{2}{3}$
18083	Simplify the Matrix	x>=0 : square root of 5x( square root of 8x^2-2 square root of x)	$x \geq 0$ : $\sqrt{5 x} (\sqrt{8 x^{2}} - 2 \sqrt{x})$
18084	Evaluate	e^-4*e^6	$e^{- 4} \cdot e^{6}$
18085	Simplify	5t+(t-3)-((7t+5)-(8-3t))	$5 t + (t - 3) - ((7 t + 5) - (8 - 3 t))$
18086	Solve the System of Inequalities	y>-7 y>9/2x+2	$y > - 7$ $y > \frac{9}{2} x + 2$
18087	Solve for x	csc(x)+cot(x)=( square root of 3)/3	$\csc (x) + \cot (x) = \frac{\sqrt{3}}{3}$
18088	Simplify	((-3x^4yz^-2)^2)/(3x^5y^2z)	$\frac{{(- 3 x^{4} y z^{- 2})}^{2}}{3 x^{5} y^{2} z}$
18089	Find the Absolute Max and Min over the Interval	f(x)=x^3-3x^2+12	$f (x) = x^{3} - 3 x^{2} + 12$
18090	Evaluate the Integral	integral of (sin(x))/( square root of 4+cos(x)^2) with respect to x	$\int \frac{\sin (x)}{\sqrt{4 + \cos^{2} (x)}} d x$
18091	Find the Domain and Range	y=cot(x+pi/4)	$y = \cot (x + \frac{π}{4})$
18092	Solve for P	P=6.76^(3/2)	$P = {6.76}^{\frac{3}{2}}$
18093	Simplify the Radical Expression	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
18094	Simplify	(7+ square root of 12)(7- square root of 12)	$(7 + \sqrt{12}) (7 - \sqrt{12})$
18095	Simplify the Radical Expression	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
18096	Simplify	(5 square root of 40+6 square root of 90)/(2 square root of 2)	$\frac{5 \sqrt{40} + 6 \sqrt{90}}{2 \sqrt{2}}$
18097	Simplify	cot(theta)sin(theta)cos(theta)	$\cot (θ) \sin (θ) \cos (θ)$
18098	Simplify	3yz^2*5y^2z	$3 y z^{2} \cdot 5 y^{2} z$
18099	Simplify	((2a+3b)/(2a)+(2a-3b)/(3b))^2-((2a+3b)/(2a)-(2a-3b)/(3b))^2	${(\frac{(2 a + 3 b)}{2 a} + \frac{(2 a - 3 b)}{3 b})}^{2} - {(\frac{(2 a + 3 b)}{2 a} - \frac{(2 a - 3 b)}{3 b})}^{2}$
18100	Write in Standard Form	(2x^2-6x-2)+(x^2+4x)	$(2 x^{2} - 6 x - 2) + (x^{2} + 4 x)$