Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28001	Simplify	square root of 6x square root of 9x	$\sqrt{6 x} \sqrt{9 x}$
28002	Simplify	((5x^3)/4)÷((15x)/8)	$\frac{5 x^{3}}{4} \div \frac{15 x}{8}$
28003	Solve for x	(5x-2)/3=(5-3x)/2	$\frac{5 x - 2}{3} = \frac{5 - 3 x}{2}$
28004	Solve for x	natural log of x-6=2 natural log of 2- natural log of 10-x	$\ln (x - 6) = 2 \ln (2) - \ln (10 - x)$
28005	Solve the Inequality for m	5+m>-2	$5 + m > - 2$
28006	Simplify the Matrix	B=[[-1,4,6],[-5,-3,-9]] , A=[[-4,9,2],[12,-7,-4]]	$B = [\begin{array}{c} - 1 & 4 & 6 \\ - 5 & - 3 & - 9 \end{array}]$ , $A = [\begin{array}{c} - 4 & 9 & 2 \\ 12 & - 7 & - 4 \end{array}]$
28007	Simplify	square root of 6x^2* square root of 18x	$\sqrt{6 x^{2}} \cdot \sqrt{18 x}$
28008	Solve for x	(3-4x)/(1+5x)=1/(2+3x)	$\frac{3 - 4 x}{1 + 5 x} = \frac{1}{2 + 3 x}$
28009	Plot	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
28010	Simplify	e^-9*e^7	$e^{- 9} \cdot e^{7}$
28011	Integrate Using u-Substitution	integral of x^5 square root of 2x^6+3 with respect to x	$\int x^{5} \sqrt{2 x^{6} + 3} d x$
28012	Solve for Z	2/3(Y+Z)=x	$\frac{2}{3} (Y + Z) = x$
28013	Simplify	x^2(x-1)(x+3)	$x^{2} (x - 1) (x + 3)$
28014	Evaluate the Integral	integral from 0 to 4 of pi( square root of x)^2 with respect to x	$\int_{0}^{4} π {(\sqrt{x})}^{2} d x$
28015	Simplify	square root of 2x^3* square root of 12x^6	$\sqrt{2 x^{3}} \cdot \sqrt{12 x^{6}}$
28016	Solve for θ	sec(2theta)=2	$\sec (2 θ) = 2$
28017	Solve Using the Quadratic Formula	x^2+13/2x+15/2=0	$x^{2} + \frac{13}{2} x + \frac{15}{2} = 0$
28018	Simplify	fifth root of 8x^3y* fifth root of 4x^4y	$\sqrt[5]{8 x^{3} y} \cdot \sqrt[5]{4 x^{4} y}$
28019	Evaluate	5/9*1/2+1/6	$\frac{5}{9} \cdot \frac{1}{2} + \frac{1}{6}$
28020	Graph	y=2(2^x-1)	$y = 2 (2^{x} - 1)$
28021	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)) with respect to x	$\int \frac{\sin (x)}{\cos (x)} d x$
28022	Solve Using the Quadratic Formula	3-x^2=2x	$3 - x^{2} = 2 x$
28023	Evaluate	-3 1/2(-2)+9	$- 3 \frac{1}{2} (- 2) + 9$
28024	Simplify	8c^2d*10c^3d^5	$8 c^{2} d \cdot 10 c^{3} d^{5}$
28025	Simplify the Radical Expression	xy square root of 75x^2y^2	$x y \sqrt{75 x^{2} y^{2}}$
28026	Solve for x	\|1/2x+3\|=x+3	$\| \frac{1}{2} x + 3 \| = x + 3$
28027	Find the Domain and Range	f(x)=cot(1/3x)	$f (x) = \cot (\frac{1}{3} x)$
28028	Solve for w	square root of w=-3	$\sqrt{w} = - 3$
28029	Solve for x	2x(3x-1)=8	$2 x (3 x - 1) = 8$
28030	Solve for c	70=-10-10c^3	$70 = - 10 - 10 c^{3}$
28031	Simplify	(x-3y)/(x^3-y^3)-(2x)/(y^3-x^3)	$\frac{(x - 3 y)}{x^{3} - y^{3}} - \frac{2 x}{y^{3} - x^{3}}$
28032	Evaluate the Integral	integral of (3x^2+4x+1)/(3x^3+6x^2+3x+5) with respect to x	$\int \frac{3 x^{2} + 4 x + 1}{3 x^{3} + 6 x^{2} + 3 x + 5} d x$
28033	Solve for x	(2x-3)/2=3/(x+4)	$\frac{2 x - 3}{2} = \frac{3}{x + 4}$
28034	Solve for m	V = square root of (FR)/m	$V = \sqrt{\frac{F R}{m}}$
28035	Describe the Transformation	f(x)=1/4\|x+6\|	$f (x) = \frac{1}{4} \| x + 6 \|$
28036	Graph	a , cos(a)^2=1-cos(a)^2	$a$ , $\cos^{2} (a) = 1 - \cos^{2} (a)$
28037	Solve for x	square root of 4x+1- square root of 5-2x=0	$\sqrt{4 x + 1} - \sqrt{5 - 2 x} = 0$
28038	Solve for y	-8y<-3y+5	$- 8 y < - 3 y + 5$
28039	Simplify	(9z^5-8z^3+4z^2+7z)÷(-2z)	$(9 z^{5} - 8 z^{3} + 4 z^{2} + 7 z) \div (- 2 z)$
28040	Simplify	(x^2z^3)(xy^2z)	$(x^{2} z^{3}) (x y^{2} z)$
28041	Simplify	(4x)/(x^2-1)+(3x)/(1-x)-4/(x+1)	$\frac{4 x}{(x^{2} - 1)} + \frac{3 x}{(1 - x)} - \frac{4}{(x + 1)}$
28042	Multiply	4i*(-7+i)	$4 i \cdot (- 7 + i)$
28043	Solve for z	15(1/3)z=5	$15 (\frac{1}{3}) z = 5$
28044	Simplify	sixth root of x* fifth root of x*12 root of x^5	$\sqrt[6]{x} \cdot \sqrt[5]{x} \cdot \sqrt[12]{x^{5}}$
28045	Find the Derivative - d/da	pi/(ab)	$\frac{π}{a b}$
28046	Subtract	-5 1/4-(-7 1/2)	$- 5 \frac{1}{4} - (- 7 \frac{1}{2})$
28047	Convert to Radical Form	(8^(2/3))/(8^(1/3))	$\frac{8^{\frac{2}{3}}}{8^{\frac{1}{3}}}$
28048	Find the Holes in the Graph	(x^2+3x)/(x^2+5x+6)	$\frac{x^{2} + 3 x}{x^{2} + 5 x + 6}$
28049	Evaluate	(3(-3)+2(-4))/2	$\frac{3 (- 3) + 2 (- 4)}{2}$
28050	Find All Complex Solutions	x^4=-2-2 square root of 3i	$x^{4} = - 2 - 2 \sqrt{3} i$
28051	Simplify	fourth root of (x^9y^7)/(xy^3)	$\sqrt[4]{\frac{x^{9} y^{7}}{x y^{3}}}$
28052	Evaluate	i^9i^6i^8	$i^{9} \cdot i^{6} \cdot i^{8}$
28053	Find the Degree, Leading Term, and Leading Coefficient	h(t)=-8t^2+5-3t^3	$h (t) = - 8 t^{2} + 5 - 3 t^{3}$
28054	Combine Like Terms	2+3x-4x+6	$2 + 3 x - 4 x + 6$
28055	Find the Asymptotes	f(x)=(x^3-5x^2+6x)/(-3x^2+6x+9)	$f (x) = \frac{x^{3} - 5 x^{2} + 6 x}{- 3 x^{2} + 6 x + 9}$
28056	Solve the Absolute Value Inequality for x	\|x-2\|+3<0	$\| x - 2 \| + 3 < 0$
28057	Add	(4x)/(12y^2)+(5x)/(8y)	$\frac{4 x}{12 y^{2}} + \frac{5 x}{8 y}$
28058	Find the Derivative - d/dx	y=(4 square root of x)/(x-2)	$y = \frac{4 \sqrt{x}}{x - 2}$
28059	Find the Domain	(x-3)/( square root of 16-x^2)	$\frac{x - 3}{\sqrt{16 - x^{2}}}$
28060	Solve for m	8(-1+m)+3=2(m-5 1/2)	$8 (- 1 + m) + 3 = 2 (m - 5 \frac{1}{2})$
28061	Evaluate	1+cot(theta)^2=csc(theta)^2	$1 + \cot^{2} (θ) = \csc^{2} (θ)$
28062	Simplify	12^(1/8)*12^(5/6)	$12^{\frac{1}{8}} \cdot 12^{\frac{5}{6}}$
28063	Simplify	(x^2y^0z^5)^-5	${(x^{2} y^{0} z^{5})}^{- 5}$
28064	Graph	g(x)=-3/4x+2,x<=4; 1/2x-3,x>4	$g (x) = {\begin{cases} - \frac{3}{4} x + 2, x \leq 4 \\ \frac{1}{2} x - 3, x > 4 \end{cases}$
28065	Write in Standard Form	(x-y)(x^2+2xy+y^2)	$(x - y) (x^{2} + 2 x y + y^{2})$
28066	Simplify	((m^-3n^4)/(n^-2))^4	${(\frac{m^{- 3} n^{4}}{n^{- 2}})}^{4}$
28067	Simplify	(2x^-4y^(1/4))/( square root of 25x^4y)	$\frac{2 x^{- 4} y^{\frac{1}{4}}}{\sqrt{25 x^{4} y}}$
28068	Subtract	9 fourth root of 5x- fourth root of 80x	$9 \sqrt[4]{5 x} - \sqrt[4]{80 x}$
28069	Solve the Rational Equation for x	x/(x-1)=-2/(x-3)	$\frac{x}{x - 1} = - \frac{2}{x - 3}$
28070	Solve for x	(x-2)/3>x+4	$\frac{x - 2}{3} > x + 4$
28071	Solve the Inequality for x	-20+x>=-(20-x)	$- 20 + x \geq - (20 - x)$
28072	Find dy/dx	-y+y^2-4y^3+x^2=0	$- y + y^{2} - 4 y^{3} + x^{2} = 0$
28073	Solve for t	-17-6(7t+18)=-20t+19+2t	$- 17 - 6 (7 t + 18) = - 20 t + 19 + 2 t$
28074	Graph	y=-3x+6x^2-1	$y = - 3 x + 6 x^{2} - 1$
28075	Graph	5-y<=-3x	$5 - y \leq - 3 x$
28076	Convert to Logarithmic Form	x^pi=e	$x^{π} = e$
28077	Simplify	(2+x square root of 5)^2	${(2 + x \sqrt{5})}^{2}$
28078	Graph	y=-3/5x+5 y=2	$y = - \frac{3}{5} x + 5$ $y = 2$
28079	Find the Derivative - d/dx	x^3y^2-4xy+5y^3	$x^{3} y^{2} - 4 x y + 5 y^{3}$
28080	Graph	x+y>=4 2x-y>2	$x + y \geq 4$ $2 x - y > 2$
28081	Identify the Conic	r=5/(1+sin(theta))	$r = \frac{5}{1 + \sin (θ)}$
28082	Simplify	7x^2y^2+12xy^2-3x^2y+11+-12xy^2+20x^2y+11xy-5	$7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11 + - 12 x y^{2} + 20 x^{2} y + 11 x y - 5$
28083	Find the Exact Value	( square root of 2)/2*( square root of 3)/2	$\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}$
28084	Factor	m^3-m^2n+m-n	$m^{3} - m^{2} n + m - n$
28085	Find the Vertex	(x-1)^2+(y^2)/25=1	${(x - 1)}^{2} + \frac{y^{2}}{25} = 1$
28086	Simplify	1/(-3^-3)	$\frac{1}{- 3^{- 3}}$
28087	Find the GCF	12p^2 and 30q^5	$12 p^{2}$ and $30 q^{5}$
28088	Simplify	( fourth root of 16)^-7	${(\sqrt[4]{16})}^{- 7}$
28089	Evaluate the Integral	integral of 1/(6 fourth root of x) with respect to x	$\int \frac{1}{6 \sqrt[4]{x}} d x$
28090	Write in Standard Form	-5x^2+22x=3x+13-7x^2	$- 5 x^{2} + 22 x = 3 x + 13 - 7 x^{2}$
28091	Solve for x	2.1 = natural log of 6x	$2.1 = \ln (6 x)$
28092	Factor	3p^1+11p-4	$3 p^{1} + 11 p - 4$
28093	Multiply	(2x+y)(2x+y)	$(2 x + y) (2 x + y)$
28094	Solve for x	8x=x^2+12	$8 x = x^{2} + 12$
28095	Solve for b	b=( cube root of -21)^3	$b = {(\sqrt[3]{- 21})}^{3}$
28096	Graph	x+2y=2 y=-x+4	$x + 2 y = 2$ $y = - x + 4$
28097	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-1) and has a slope of -6 ?	What is the equation of the line that passes through the point $(- 1, - 1)$ and has a slope of $- 6$ ?
28098	Graph	y>=4 square root of x-2-12	$y \geq 4 \sqrt{x - 2} - 12$
28099	Solve for a	(15-4i)(6-3i)=a+bi	$(15 - 4 i) (6 - 3 i) = a + b i$
28100	Solve for x	square root of 3x-5=2- square root of x-1	$\sqrt{3 x - 5} = 2 - \sqrt{x - 1}$