Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
192001	Factor	P(x)=x^3-x^2-6x	$P (x) = x^{3} - x^{2} - 6 x$
192002	Simplify	(2x+4y)/(x^2-y^2)*(x+y)/(x^2+4xy+4y^2)	$\frac{2 x + 4 y}{x^{2} - y^{2}} \cdot \frac{x + y}{x^{2} + 4 x y + 4 y^{2}}$
192003	Write in Slope-Intercept Form	(1,4) and (2,2)	$(1, 4)$ and $(2, 2)$
192004	Multiply	5x^2-6x+2*4x^2-3x	$5 x^{2} - 6 x + 2 \cdot 4 x^{2} - 3 x$
192005	Solve for a	(x^3)^(1/5) fourth root of x=x^a	${(x^{3})}^{\frac{1}{5}} \sqrt[4]{x} = x^{a}$
192006	Simplify	( square root of x)/( square root of x+5)	$\frac{\sqrt{x}}{\sqrt{x} + 5}$
192007	Find the Roots (Zeros)	0=x^4-x^3+4x^2-6x-12	$0 = x^{4} - x^{3} + 4 x^{2} - 6 x - 12$
192008	Write as a Single Logarithm	natural log of x+ natural log of y- natural log of z	$\ln (x) + \ln (y) - \ln (z)$
192009	Simplify	(625*48)^(1/4)	${(625 \cdot 48)}^{\frac{1}{4}}$
192010	Graph	h(x)=-f(2(x+1))+2	$h (x) = - f (2 (x + 1)) + 2$
192011	Write as a Single Logarithm	3 log base b of m-2 log base b of n	$3 \log_{b} (m) - 2 \log_{b} (n)$
192012	Solve for x	9(3+x)=4(3+x)	$9 (3 + x) = 4 (3 + x)$
192013	Solve for x	-x(x+2)(4x^2-81)=0	$- x (x + 2) (4 x^{2} - 81) = 0$
192014	Solve for x	1+x^2=0	$1 + x^{2} = 0$
192015	Simplify	(2/x-5)/(6+3/x)	$\frac{\frac{2}{x} - 5}{6 + \frac{3}{x}}$
192016	Simplify	(5^-4(25)^4)^2	${(5^{- 4} {(25)}^{4})}^{2}$
192017	Solve for x	-1/3x-1/6=11/12	$- \frac{1}{3} x - \frac{1}{6} = \frac{11}{12}$
192018	Solve for c	y=mx+c	$y = m x + c$
192019	Solve the Inequality for k	-2k>18	$- 2 k > 18$
192020	Solve for m	a(m-3n)=5am+an-4	$a (m - 3 n) = 5 a m + a n - 4$
192021	Solve the Inequality for x	2x-6=3x+1-x-7	$2 x - 6 = 3 x + 1 - x - 7$
192022	Solve the Inequality for x	(x+3)/(x-2)+1<=0	$\frac{x + 3}{x - 2} + 1 \leq 0$
192023	Simplify	(6 fourth root of 336)/(2 fourth root of 7)	$\frac{6 \sqrt[4]{336}}{2 \sqrt[4]{7}}$
192024	Divide	(5x^2-25x+2)/(-5x)	$\frac{5 x^{2} - 25 x + 2}{- 5 x}$
192025	Simplify	1/(-1/2)	$\frac{1}{\frac{- 1}{2}}$
192026	Find the Distance Between Two Points	(7,-1) and (3,8)	$(7, - 1)$ and $(3, 8)$
192027	Simplify	x=(5+ square root of -49)/6	$x = \frac{5 + \sqrt{- 49}}{6}$
192028	Solve the Inequality for n	-132>-12(n+9)	$- 132 > - 12 (n + 9)$
192029	Simplify	(1/x+3/y)/(2/(xy))	$\frac{\frac{1}{x} + \frac{3}{y}}{\frac{2}{x y}}$
192030	Simplify	(x+2)/(2x-2)-(-2x-1)/(x^2-4x+3)	$\frac{x + 2}{2 x - 2} - \frac{- 2 x - 1}{x^{2} - 4 x + 3}$
192031	Graph	-(x-4)^3(x-1)	$- {(x - 4)}^{3} (x - 1)$
192032	Solve the Inequality for x	(x+2)^2(x-7)(x+5)<0	${(x + 2)}^{2} \cdot (x - 7) \cdot (x + 5) < 0$
192033	Multiply	-6*1/4	$- 6 \cdot \frac{1}{4}$
192034	Convert to a Decimal	-270deg	$- 270$ degrees
192035	Find the Equation Using Slope-Intercept Form	m=3 and b=6	$m = 3$ and $b = 6$
192036	Evaluate	(e^t)^2	${(e^{t})}^{2}$
192037	Write in Standard Form	3+x=x^2+3x	$3 + x = x^{2} + 3 x$
192038	Solve the Inequality for x	1/8<x<18%	$\frac{1}{8} < x < 18 %$
192039	Factor	am+bm+a^2+ab	$a m + b m + a^{2} + a b$
192040	Evaluate	(-1^3-12)/(8^0)	$\frac{- 1^{3} - 12}{8^{0}}$
192041	Write in Standard Form	(x+2)^3=x(x^2-10x+25)	${(x + 2)}^{3} = x (x^{2} - 10 x + 25)$
192042	Write in Standard Form	x^2-4x=5-x	$x^{2} - 4 x = 5 - x$
192043	Solve the Inequality for x	2x^2-5x<-3	$2 x^{2} - 5 x < - 3$
192044	Graph	y< square root of x+3+1	$y < \sqrt{x + 3} + 1$
192045	Solve the Inequality for x	1+(x-5)/2-(x+3)/5<=0	$1 + \frac{x - 5}{2} - \frac{x + 3}{5} \leq 0$
192046	Subtract	(8x^2+x-10)-(-5x^2+7x+1)	$(8 x^{2} + x - 10) - (- 5 x^{2} + 7 x + 1)$
192047	Solve the Absolute Value Inequality for m	\|2-(5m)/2\|<14	$\| 2 - \frac{5 m}{2} \| < 14$
192048	Simplify	-x^2 square root of 7x+x square root of 112x^3	$- x^{2} \sqrt{7 x} + x \sqrt{112 x^{3}}$
192049	Graph	Graph y=4/5x-7	Graph $y = \frac{4}{5} x - 7$
192050	Multiply	(6x^4-5x^2-7)*(-4x^3)	$(6 x^{4} - 5 x^{2} - 7) \cdot (- 4 x^{3})$
192051	Solve for t	-0.85t-0.85t-3.9=-8.15	$- 0.85 t - 0.85 t - 3.9 = - 8.15$
192052	Graph	g(x)=\|7/5(x-6)\|+4	$g (x) = \| \frac{7}{5} (x - 6) \| + 4$
192053	Evaluate	-1/2 square root of 3	$- \frac{1}{2} \sqrt{3}$
192054	Solve for x	(2-x)/3+30=24	$\frac{2 - x}{3} + 30 = 24$
192055	Solve for x	3<-5x+2x	$3 < - 5 x + 2 x$
192056	Graph	r(x)=-1/4\|x\|	$r (x) = - \frac{1}{4} \| x \|$
192057	Write in Standard Form	x^2-6x+8y=23	$x^{2} - 6 x + 8 y = 23$
192058	Solve for x	-x-1/2(-3/2x-7)=-3(-2/3x-1)+1	$- x - \frac{1}{2} (- \frac{3}{2} x - 7) = - 3 (- \frac{2}{3} x - 1) + 1$
192059	Graph	f(x)=3 if -2<=x<0; 1 if x=0; -(x+1) if 0<x<=2	$f (x) = {\begin{cases} 3 & - 2 \leq x < 0 \\ 1 & x = 0 \\ - (x + 1) & 0 < x \leq 2 \end{cases}$
192060	Solve the System of Equations	-3x+y=9 3x-y=9	$- 3 x + y = 9$ $3 x - y = 9$
192061	Solve the System of Equations	y=-2x+18 y=8	$y = - 2 x + 18$ $y = 8$
192062	Simplify	((x+2)/(x-4))÷(1/(3x-12))	$\frac{x + 2}{x - 4} \div \frac{1}{3 x - 12}$
192063	Solve for y	18=3y-12x	$18 = 3 y - 12 x$
192064	Evaluate	tan(x)cos(x)	$\tan (x) \cos (x)$
192065	Solve the Inequality for x	7x<=20-3x^2	$7 x \leq 20 - 3 x^{2}$
192066	Find the End Behavior	f(x)=-3780x+4536-147x^3+7x^4+1134x^2	$f (x) = - 3780 x + 4536 - 147 x^{3} + 7 x^{4} + 1134 x^{2}$
192067	Solve the Inequality for x	6^x<3^x	$6^{x} < 3^{x}$
192068	Graph	24y<=30x	$24 y \leq 30 x$
192069	Simplify	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
192070	Simplify	y^(1/3)(y^(2/3)+y^(5/3))	$y^{\frac{1}{3}} (y^{\frac{2}{3}} + y^{\frac{5}{3}})$
192071	Find the Sum and Product of the Roots of the Quadratic Equation	-2=2x-x^2	$- 2 = 2 x - x^{2}$
192072	Solve for a	x^2-8x+a=0	$x^{2} - 8 x + a = 0$
192073	Simplify	3/8+1/8-2/7+1/4	$\frac{3}{8} + \frac{1}{8} - \frac{2}{7} + \frac{1}{4}$
192074	Solve for x	3+4\|x/2+3\|=11	$3 + 4 \| \frac{x}{2} + 3 \| = 11$
192075	Solve the Inequality for z	4/9z-(2z)/3<1/2	$\frac{4}{9} z - \frac{2 z}{3} < \frac{1}{2}$
192076	Divide	(3a^3-5ab^2-6a^2b^3)/(-2a)	$\frac{3 a^{3} - 5 a b^{2} - 6 a^{2} b^{3}}{- 2 a}$
192077	Solve the Inequality for x	-x/4<=-10	$- \frac{x}{4} \leq - 10$
192078	Solve the System of Equations	x-y+3z=-3 -2x+y-2z=8 -x+3y-4z=6	$x - y + 3 z = - 3$ $- 2 x + y - 2 z = 8$ $- x + 3 y - 4 z = 6$
192079	Solve for x	xy-5=k	$x y - 5 = k$
192080	Evaluate	12y+6=6(2y+1)	$12 y + 6 = 6 (2 y + 1)$
192081	Simplify	-2x^3 square root of 5x+5x^2 square root of 5x^3	$- 2 x^{3} \sqrt{5 x} + 5 x^{2} \sqrt{5 x^{3}}$
192082	Subtract	Subtract -7x^2+1 from -2x^2-4x	Subtract $- 7 x^{2} + 1$ from $- 2 x^{2} - 4 x$
192083	Solve for x	b/ax=d/ax+c	$\frac{b}{a} x = \frac{d}{a} x + c$
192084	Graph	x^2=y+1	$x^{2} = y + 1$
192085	Multiply	(x+2)(x)	$(x + 2) (x)$
192086	Solve the System of Equations	2a+3b=5 b=a-5	$2 a + 3 b = 5$ $b = a - 5$
192087	Simplify	(a-2b)/(15a)+(b-a)/(20b)	$\frac{a - 2 b}{15 a} + \frac{b - a}{20 b}$
192088	Solve for d	(d-8)/5=p	$\frac{d - 8}{5} = p$
192089	Solve for a	\|-8a-3\|>11	$\| - 8 a - 3 \| > 11$
192090	Solve for c	12c+6c=36	$12 c + 6 c = 36$
192091	Determine if Parallel	y=1/3x+9 x-3y=3	$y = \frac{1}{3} x + 9$ $x - 3 y = 3$
192092	Find the Exact Value	\|5+12i\|	$\| 5 + 12 i \|$
192093	Combine Like Terms	(9x^2-8)+(9x^2+9x+3)	$(9 x^{2} - 8) + (9 x^{2} + 9 x + 3)$
192094	Factor by Grouping	a^2+ab	$a^{2} + a b$
192095	Combine Like Terms	20+10q+3q-4	$20 + 10 q + 3 q - 4$
192096	Find the Directrix	y=x^2	$y = x^{2}$
192097	Simplify	7/(x^2-10x+16)+(2x)/(x^2-13x+40)	$\frac{7}{x^{2} - 10 x + 16} + \frac{2 x}{x^{2} - 13 x + 40}$
192098	Find the Function	g(x)=7/8x-1/2	$g (x) = \frac{7}{8} x - \frac{1}{2}$
192099	Determine if Perpendicular	Y=2x+3 and y=-x-4	$Y = 2 x + 3$ and $y = - x - 4$
192100	Simplify	(w^3x^2)/(x^7w^-4)	$\frac{w^{3} x^{2}}{x^{7} w^{- 4}}$