Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175001	Solve the Inequality for x	x^4>4x^2	$x^{4} > 4 x^{2}$
175002	Solve for V₀	s=1/2gt^2+V_0t	$s = \frac{1}{2} g t^{2} + V_{0} t$
175003	Solve for x	e^(-x^2)=0	$e^{- x^{2}} = 0$
175004	Simplify	(12+r-r^2)/(r^3+3r^2)	$\frac{12 + r - r^{2}}{r^{3} + 3 r^{2}}$
175005	Solve for r	7/10=r-(-8/5)	$\frac{7}{10} = r - (- \frac{8}{5})$
175006	Graph	-3x>=21	$- 3 x \geq 21$
175007	Multiply	2/5*-2	$\frac{2}{5} \cdot - 2$
175008	Find the Roots (Zeros)	x^3-3x	$x^{3} - 3 x$
175009	Graph	f(x)=-1/2x^4-x^3+x+2	$f (x) = - \frac{1}{2} x^{4} - x^{3} + x + 2$
175010	Find the x and y Intercepts	y=x^3+x^2-4x-4	$y = x^{3} + x^{2} - 4 x - 4$
175011	Simplify	( fourth root of 4)/( fourth root of 27)	$\frac{\sqrt[4]{4}}{\sqrt[4]{27}}$
175012	Combine Like Terms	(8-n^7)(8+n^7)	$(8 - n^{7}) (8 + n^{7})$
175013	Solve the Inequality for x	0<\|2-3x\|<1	$0 < \| 2 - 3 x \| < 1$
175014	Solve the Inequality for x	2x^2+3x-2>0	$2 x^{2} + 3 x - 2 > 0$
175015	Solve for x	log base 2 of 8x-3 log base 2 of 4=3	$\log_{2} (8 x) - 3 \log_{2} (4) = 3$
175016	Solve for x	-4/(x+1)-3/x=-2	$- \frac{4}{x + 1} - \frac{3}{x} = - 2$
175017	Write in Standard Form	(-4x^4+6x^2+3)-(5x^2-3)	$(- 4 x^{4} + 6 x^{2} + 3) - (5 x^{2} - 3)$
175018	Graph	(-( square root of 3)/2,1/2)	$(- \frac{\sqrt{3}}{2}, \frac{1}{2})$
175019	Solve for x	3 natural log of x = natural log of 216	$3 \ln (x) = \ln (216)$
175020	Solve for t	t^2-5t=-4	$t^{2} - 5 t = - 4$
175021	Find the Exact Value	f^-1(5)	$f^{- 1} (5)$
175022	Factor	4y(3x+2)-2(3x+2)	$4 y (3 x + 2) - 2 (3 x + 2)$
175023	Simplify	((20x^-3)/(10x^-1))^-2	${(\frac{20 x^{- 3}}{10 x^{- 1}})}^{- 2}$
175024	Graph	y>=1 y-x<0	$y \geq 1$ $y - x < 0$
175025	Find the Quotient	(x^3+3x^2-4x-12)÷(x^2+5x+6) ?	$(x^{3} + 3 x^{2} - 4 x - 12) \div (x^{2} + 5 x + 6)$ ?
175026	Solve the System of Inequalities	3n+2<-2+7n or 8n-4<=3n-4	$3 n + 2 < - 2 + 7 n$ or $8 n - 4 \leq 3 n - 4$
175027	Multiply	(m-n)(m+n)	$(m - n) (m + n)$
175028	Solve Using the Quadratic Formula	9x+2=8x^2+6x	$9 x + 2 = 8 x^{2} + 6 x$
175029	Solve for p	13^2=p	$13^{2} = p$
175030	Solve for u	v=u+at	$v = u + a t$
175031	Find the Equation Using Point-Slope Formula	passing through (8,16) and (9,18)	passing through $(8, 16)$ and $(9, 18)$
175032	Simplify	(i square root of 7)^2*2i	${(i \sqrt{7})}^{2} \cdot 2 i$
175033	Find the Product	1.5m^6(-2m^2)^4	$1.5 m^{6} {(- 2 m^{2})}^{4}$
175034	Solve for x	(x+4)/(2x^2)-3/(2x^2)=(x+6)/(4x^2)	$\frac{x + 4}{2 x^{2}} - \frac{3}{2 x^{2}} = \frac{x + 6}{4 x^{2}}$
175035	Solve for x	x^4-2x^2=0	$x^{4} - 2 x^{2} = 0$
175036	Solve for x	2/x-4/5=3/x	$\frac{2}{x} - \frac{4}{5} = \frac{3}{x}$
175037	Solve the Inequality for c	(14)(14)c<=700	$(14) (14) c \leq 700$
175038	Find the Exact Value	2sin(30 degrees )cos(30 degrees )	$2 \sin (30 °) \cos (30 °)$
175039	Simplify	(3m)/(2m+1)+(11m+7)/(2m+1)	$\frac{3 m}{2 m + 1} + \frac{11 m + 7}{2 m + 1}$
175040	Simplify	(1+2i)/(3+i)	$\frac{1 + 2 i}{3 + i}$
175041	Graph	f(x)=x^5-5x	$f (x) = x^{5} - 5 x$
175042	Graph	y>=x^2+6x+10 y<-x^2-8x-14	$y \geq x^{2} + 6 x + 10$ $y < - x^{2} - 8 x - 14$
175043	Solve for a	-5/3a=1/2(2/3a-2+4/3a)	$- \frac{5}{3} a = \frac{1}{2} (\frac{2}{3} a - 2 + \frac{4}{3} a)$
175044	Solve the Inequality for x	-2<x-9<3	$- 2 < x - 9 < 3$
175045	Solve for c	2c+3=2c+3	$2 c + 3 = 2 c + 3$
175046	Find the Quotient	(108m^6+81m^5-324m)/(9m^4)	$\frac{108 m^{6} + 81 m^{5} - 324 m}{9 m^{4}}$
175047	Simplify	z^(7/10)*10 root of z^33	$z^{\frac{7}{10}} \cdot \sqrt[10]{z^{33}}$
175048	Subtract	(-2/5y)-(-5/2y)	$(- \frac{2}{5} y) - (- \frac{5}{2} y)$
175049	Solve Using the Quadratic Formula	x^4-16=0	$x^{4} - 16 = 0$
175050	Evaluate	(x^5)/(x^2)	$\frac{x^{5}}{x^{2}}$
175051	Solve for t	\|4t-8\|=20	$\| 4 t - 8 \| = 20$
175052	Simplify	8/(x^2)+1/(10y)	$\frac{8}{x^{2}} + \frac{1}{10 y}$
175053	Find the First Term	n+1	$n + 1$
175054	Combine Like Terms	(5a^3-2)(5a^3+2)	$(5 a^{3} - 2) (5 a^{3} + 2)$
175055	Simplify	(2 square root of -32)(5 square root of -18)	$(2 \sqrt{- 32}) (5 \sqrt{- 18})$
175056	Find the Roots (Zeros)	x^4-2x^2+1=0	$x^{4} - 2 x^{2} + 1 = 0$
175057	Evaluate	-6^2-(-1)^4	$- 6^{2} - {(- 1)}^{4}$
175058	Find the Vertex Form	y=x^2+x-3	$y = x^{2} + x - 3$
175059	Factor	p(x)=x^4-3x^3+2x^2	$p (x) = x^{4} - 3 x^{3} + 2 x^{2}$
175060	Solve for x	0.2(x+1)+0.5x=-0.3(x-4)	$0.2 (x + 1) + 0.5 x = - 0.3 (x - 4)$
175061	Solve for h	2/3(2/3h+3)+2h=1/3(6-1/3h)	$\frac{2}{3} (\frac{2}{3} h + 3) + 2 h = \frac{1}{3} (6 - \frac{1}{3} h)$
175062	Find All Complex Solutions	square root of 4x=x-3	$\sqrt{4 x} = x - 3$
175063	Find the Exact Value	-2/3p+1/5-1+5/6p	$- \frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$
175064	Solve the Inequality for c	5/(2c-7)>1	$\frac{5}{2 c - 7} > 1$
175065	Solve for v	u-5=-4(v-1)	$u - 5 = - 4 (v - 1)$
175066	Solve the System of Inequalities	-47>1-8x>=-63	$- 47 > 1 - 8 x \geq - 63$
175067	Solve for x	12-5(x+3)=8x-5	$12 - 5 (x + 3) = 8 x - 5$
175068	Solve for x	x/(x-4)-8/(4-x)=2	$\frac{x}{x - 4} - \frac{8}{4 - x} = 2$
175069	Graph	f(x)=2x if x<=0; 2 if x>0	$f (x) = {\begin{cases} 2 x & x \leq 0 \\ 2 & x > 0 \end{cases}$
175070	Solve for y	5(x+y)=20+3x	$5 (x + y) = 20 + 3 x$
175071	Simplify	(10g^3h^8v^6)(11gh^8)	$(10 g^{3} h^{8} v^{6}) (11 g h^{8})$
175072	Solve for x	(4x-6)/(2x-3)=7/(x+1)	$\frac{4 x - 6}{2 x - 3} = \frac{7}{x + 1}$
175073	Simplify	7(7+5m)+(m+6)*4	$7 (7 + 5 m) + (m + 6) \cdot 4$
175074	Graph	x<=3 and x>=4	$x \leq 3$ and $x \geq 4$
175075	Graph	y=((x-A)^2)/(x-B)	$y = \frac{{(x - A)}^{2}}{x - B}$
175076	Factor	25x^4-10x^2y^2+y^4-100	$25 x^{4} - 10 x^{2} y^{2} + y^{4} - 100$
175077	Solve for x	3/5x+1/3<4/5x-1/3	$\frac{3}{5} x + \frac{1}{3} < \frac{4}{5} x - \frac{1}{3}$
175078	Solve for x	(x+5)/(2x)=3/4	$\frac{x + 5}{2 x} = \frac{3}{4}$
175079	Solve for y	y^2-7y+45=(y-6)(y-9)	$y^{2} - 7 y + 45 = (y - 6) (y - 9)$
175080	Solve the System of Inequalities	45>=4x+5 and 53>4x+5	$45 \geq 4 x + 5$ and $53 > 4 x + 5$
175081	Graph	y as a function of x	$y$ as a function of $x$
175082	Solve the Inequality for x	-3(x+5)>12	$- 3 (x + 5) > 12$
175083	Simplify	5^(-5/2)*5^(9/2)	$5^{- \frac{5}{2}} \cdot 5^{\frac{9}{2}}$
175084	Divide	(18x^5)÷6x^3	$18 x^{5} \div 6 x^{3}$
175085	Solve for x	1/3(3+2x)-1=10	$\frac{1}{3} (3 + 2 x) - 1 = 10$
175086	Solve for x	5-2(3-x)=4x+10	$5 - 2 (3 - x) = 4 x + 10$
175087	Solve for x	x(x-2)+1=0	$x (x - 2) + 1 = 0$
175088	Evaluate	-pi/2-pi/2	$- \frac{π}{2} - \frac{π}{2}$
175089	Solve for x	A=x-y+z	$A = x - y + z$
175090	Solve for x	x/a=c/b+d	$\frac{x}{a} = \frac{c}{b} + d$
175091	Solve by Substitution	2x-y=23 x-9=-1	$2 x - y = 23$ $x - 9 = - 1$
175092	Solve for x	x^3-3x=0	$x^{3} - 3 x = 0$
175093	Solve for h	7-h=3(2/3h+4)	$7 - h = 3 (\frac{2}{3} h + 4)$
175094	Graph Using a Table of Values	f(x)=6^(-x)	$f (x) = 6^{- x}$
175095	Evaluate	natural log of x=3	$\ln (x) = 3$
175096	Simplify the Radical Expression	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
175097	Solve for x	x^2+13/2x+15/2=0	$x^{2} + \frac{13}{2} x + \frac{15}{2} = 0$
175098	Solve the System of Equations	14x+7y=-7 y=-2x-1	$14 x + 7 y = - 7$ $y = - 2 x - 1$
175099	Solve for V	E_c=1/2mV^2	$E_{c} = \frac{1}{2} m V^{2}$
175100	Solve for x	84=(x7)-(x*3)	$8 \cdot 4 = (x \cdot 7) - (x \cdot 3)$