Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
238001	Simplify the Radical Expression	( square root of a^9)/( square root of b^5)	$\frac{\sqrt{a^{9}}}{\sqrt{b^{5}}}$
238002	Find g(f(x))	f(x)=-2x+4 g(x)=x^2+x-1	$f (x) = - 2 x + 4$ $g (x) = x^{2} + x - 1$
238003	Simplify	4/( square root of 12z^2)	$\frac{4}{\sqrt{12 z^{2}}}$
238004	Find All Complex Solutions	1/2\|5x-15\|=10	$\frac{1}{2} \| 5 x - 15 \| = 10$
238005	Simplify	2x-8xy+15y-6xy+4x^2	$2 x - 8 x y + 15 y - 6 x y + 4 x^{2}$
238006	Solve the System of Equations	x-y=2 x=-2	$x - y = 2$ $x = - 2$
238007	Find the Roots (Zeros)	9m^5=27m^3	$9 m^{5} = 27 m^{3}$
238008	Simplify	3v square root of 4q^7r^12y^5	$3 v \sqrt{4 q^{7} r^{12} y^{5}}$
238009	Determine if a Polynomial	-5st^5 square root of 6+8t^5-7s^4 square root of t	$- 5 s t^{5} \sqrt{6} + 8 t^{5} - 7 s^{4} \sqrt{t}$
238010	Simplify the Radical Expression	sixth root of 125x^9y^6	$\sqrt[6]{125 x^{9} y^{6}}$
238011	Write in Exponential Form	( fifth root of x)^(5/6)* square root of x	${(\sqrt[5]{x})}^{\frac{5}{6}} \cdot \sqrt{x}$
238012	Solve for x	h(x)=-5x^2+180	$h (x) = - 5 x^{2} + 180$
238013	Solve for y	6(5y-3)=-31(9-y)	$6 (5 y - 3) = - 31 (9 - y)$
238014	Simplify	square root of 4x^3* square root of 9x	$\sqrt{4 x^{3}} \cdot \sqrt{9 x}$
238015	Solve the Inequality for x	6^x>80	$6^{x} > 80$
238016	Solve for m	6=m-7/8	$6 = m - \frac{7}{8}$
238017	Simplify the Radical Expression	(32x^-30y^-35)^(-1/5)	${(32 x^{- 30} y^{- 35})}^{- \frac{1}{5}}$
238018	Factor	Factor 4b^5+4b^3+16b^2	Factor $4 b^{5} + 4 b^{3} + 16 b^{2}$
238019	Simplify the Radical Expression	(u^-3*u^-8)^(3/44)	${(u^{- 3} \cdot u^{- 8})}^{\frac{3}{44}}$
238020	Determine if True	(cot(theta))/(csc(theta))=cos(theta)	$\frac{\cot (θ)}{\csc (θ)} = \cos (θ)$
238021	Solve for c	1/3c^2-10=17	$\frac{1}{3} c^{2} - 10 = 17$
238022	Solve for x	log base b of x=2/3 log base b of 8+1/2 log base b of 9- log base b of 6	$\log_{b} (x) = \frac{2}{3} \log_{b} (8) + \frac{1}{2} \log_{b} (9) - \log_{b} (6)$
238023	Solve the Rational Equation for x	1/(x-3)=10	$\frac{1}{x - 3} = 10$
238024	Solve for x	3/(x+2)-x/(x+4)=0	$\frac{3}{x + 2} - \frac{x}{x + 4} = 0$
238025	Determine if (-5,2) is a Solution	(-5,2) , y=-x-3 y=3x+10	$(- 5, 2)$ , $y = - x - 3$ $y = 3 x + 10$
238026	Find the Roots (Zeros)	x^5-3x^4+3x^3-x^2	$x^{5} - 3 x^{4} + 3 x^{3} - x^{2}$
238027	Solve for a	5(a+4)-6a+1=12	$5 (a + 4) - 6 a + 1 = 12$
238028	Simplify	8y+9n-n-12	$8 y + 9 n - n - 12$
238029	Solve the Inequality for p	12p>=-72	$12 p \geq - 72$
238030	Solve for r	a=h/2 square root of 1-r	$a = \frac{h}{2} \sqrt{1 - r}$
238031	Evaluate	x(3x+2)	$x (3 x + 2)$
238032	Solve for x	square root of x+3+3=x	$\sqrt{x + 3 + 3} = x$
238033	Solve the Rational Equation for x	(5-x)^(1/2)=x+1	${(5 - x)}^{\frac{1}{2}} = x + 1$
238034	Factor	9x+6y+3mx+2my+3px+2py	$9 x + 6 y + 3 m x + 2 m y + 3 p x + 2 p y$
238035	Find the Roots (Zeros)	x^3+40=25	$x^{3} + 40 = 25$
238036	Multiply	(x-(-1+i))(x-(-1-i))	$(x - (- 1 + i)) (x - (- 1 - i))$
238037	Solve the Rational Equation for x	2 square root of 3x+9-4=20	$2 \sqrt{3 x + 9} - 4 = 20$
238038	Write in Standard Form	(x^2-5x-36)+(x+4)	$(x^{2} - 5 x - 36) + (x + 4)$
238039	Simplify the Radical Expression	( square root of 5x^4)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4}}}{\sqrt{2 x^{2} y^{3}}}$
238040	Solve for x	3(x+4)=0.6(15x+5)-6	$3 (x + 4) = 0.6 (15 x + 5) - 6$
238041	Simplify	(b-c)/b+b/(b+c)	$\frac{b - c}{b} + \frac{b}{b + c}$
238042	Solve for x	1/(2ab)=x/(24a^3b^2)	$\frac{1}{2 a b} = \frac{x}{24 a^{3} b^{2}}$
238043	Divide	(125xy^3)/(x^4y^8)	$\frac{125 x y^{3}}{x^{4} y^{8}}$
238044	Simplify the Radical Expression	2 square root of 45+2 square root of 90+3 square root of 45	$2 \sqrt{45} + 2 \sqrt{90} + 3 \sqrt{45}$
238045	Graph	y=2x^2+3/4	$y = 2 x^{2} + \frac{3}{4}$
238046	Find the Product	(6v^2+2v-9)(4-5v)	$(6 v^{2} + 2 v - 9) (4 - 5 v)$
238047	Find the Roots (Zeros)	0=9x^2-49	$0 = 9 x^{2} - 49$
238048	Simplify	( cube root of 256y^8)( cube root of 625y^5)	$(\sqrt[3]{256 y^{8}}) (\sqrt[3]{625 y^{5}})$
238049	Solve by Graphing	y=-2x-2 7y-49=-49x	$y = - 2 x - 2$ $7 y - 49 = - 49 x$
238050	Find the Midpoint	What is the midpoint of the points (3,5) and (5,9) ?	What is the midpoint of the points $(3, 5)$ and $(5, 9)$ ?
238051	Write in Exponential Form	fourth root of (3x)^4	$\sqrt[4]{{(3 x)}^{4}}$
238052	Solve for x	(2x+1)/2+x/7=13/14	$\frac{2 x + 1}{2} + \frac{x}{7} = \frac{13}{14}$
238053	Find the Second Term	a_n=3(3)^n	$a_{n} = 3 {(3)}^{n}$
238054	Solve for x	4x(x-3)=24	$4 x (x - 3) = 24$
238055	Find the Roots (Zeros)	y=2^x	$y = 2^{x}$
238056	Solve for x	log of x-15-2=- log of x	$\log (x - 15) - 2 = - \log (x)$
238057	Evaluate	cube root of 10^5* fourth root of 10^5	$\sqrt[3]{10^{5}} \cdot \sqrt[4]{10^{5}}$
238058	Simplify	((x^4z)^(1/8))/(x^(-1/2)z^(1/4))	$\frac{{(x^{4} z)}^{\frac{1}{8}}}{x^{- \frac{1}{2}} z^{\frac{1}{4}}}$
238059	Graph	m=undefined	$m = u n d e f i n e d$
238060	Find the Product	(7+k)^3	${(7 + k)}^{3}$
238061	Find the Excluded Values	(2x^2-8)/(x^2-2x-8)	$\frac{2 x^{2} - 8}{x^{2} - 2 x - 8}$
238062	Solve for x	5(3x-14)+2(x+27)=360	$5 (3 x - 14) + 2 (x + 27) = 360$
238063	Evaluate	sec(theta)cot(theta)sin(theta)	$\sec (θ) \cot (θ) \sin (θ)$
238064	Solve for x	x+59+x+51+84=180	$x + 59 + x + 51 + 84 = 180$
238065	Find the Midpoint	P_1=(0.4,0.9) ; , P_2=(1.5,2.1)	$P_{1} = (0.4, 0.9)$ ; , $P_{2} = (1.5, 2.1)$
238066	Evaluate	2*(3+1)+2	$2 \times (3 + 1) + 2$
238067	Find the LCD	(6x)/(x+5) and 1/(5x)	$\frac{6 x}{x + 5}$ and $\frac{1}{5 x}$
238068	Graph	y=1/3x-2 y=1/3x+3	$y = \frac{1}{3} x - 2$ $y = \frac{1}{3} x + 3$
238069	Graph Using a Table of Values	y = cube root of x-2	$y = \sqrt[3]{x - 2}$
238070	Simplify	7n^2-n^2+54+31	$7 n^{2} - n^{2} + 54 + 31$
238071	Simplify	1/(2a^7)+(4-2a^3)/(a^10)	$\frac{1}{2 a^{7}} + \frac{4 - 2 a^{3}}{a^{10}}$
238072	Simplify	square root of 0-4	$\sqrt{0 - 4}$
238073	Simplify	cot(30 degrees )	$\cot (30 °)$
238074	Simplify	( square root of 5xy^2)/( square root of 36x^3y^6)	$\frac{\sqrt{5 x y^{2}}}{\sqrt{36 x^{3} y^{6}}}$
238075	Evaluate	(0.6)^(x-3)>(0.36)^(-x-1)	${(0.6)}^{x - 3} > {(0.36)}^{- x - 1}$
238076	Factor	x^2+2+1/(x^2)	$x^{2} + 2 + \frac{1}{x^{2}}$
238077	Solve for x	cube root of 4x+4+2=0	$\sqrt[3]{4 x + 4} + 2 = 0$
238078	Solve for y	2+10/y=3/4	$2 + \frac{10}{y} = \frac{3}{4}$
238079	Convert to a Decimal	csc(225)deg	$\csc (225)$ degrees
238080	Simplify	(2 square root of x)(2 square root of x)	$(2 \sqrt{x}) (2 \sqrt{x})$
238081	Graph	x<=-1 or x>=2	$x \leq - 1$ or $x \geq 2$
238082	Evaluate	35x-56=g(-5x+8)	$35 x - 56 = g (- 5 x + 8)$
238083	Simplify	-(20w^7)/(-4(w^-5)^3)	$- \frac{20 w^{7}}{- 4 {(w^{- 5})}^{3}}$
238084	Simplify	- square root of -4-3 square root of 9+ square root of -81	$- \sqrt{- 4} - 3 \sqrt{9} + \sqrt{- 81}$
238085	Solve for y	-7(y-4)=-2(9+y)	$- 7 (y - 4) = - 2 (9 + y)$
238086	Evaluate	(x+3)^2-1	${(x + 3)}^{2} - 1$
238087	Simplify	cube root of 216-3 cube root of -729+3 square root of -49	$\sqrt[3]{216} - 3 \sqrt[3]{- 729} + 3 \sqrt{- 49}$
238088	Simplify the Radical Expression	5 square root of 20*3 square root of 8	$5 \sqrt{20} \cdot 3 \sqrt{8}$
238089	Simplify	(5x-1)/(x^2-3x+2)+3/(2x-4)	$\frac{5 x - 1}{x^{2} - 3 x + 2} + \frac{3}{2 x - 4}$
238090	Graph	If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2 ; what is the value of a ?	If two lines are parallel and they are defined by the equations, $y = 4 x - 5$ and $y = a x + 2$ ; what is the value of $a$ ?
238091	Simplify	( cube root of 32m^6)( cube root of 3125m^7)	$(\sqrt[3]{32 m^{6}}) (\sqrt[3]{3125 m^{7}})$
238092	Solve the Inequality for x	4\|x+5\|+1<=33	$4 \| x + 5 \| + 1 \leq 33$
238093	Solve for x	x+3 = square root of 2x-1+5	$x + 3 = \sqrt{2 x - 1 + 5}$
238094	Simplify	x/4+x/2+(3x)/4	$\frac{x}{4} + \frac{x}{2} + \frac{3 x}{4}$
238095	Find All Complex Solutions	5(y+1)-y=4(y-1)+9	$5 (y + 1) - y = 4 (y - 1) + 9$
238096	Solve for t	t=2pi square root of l/9.8	$t = 2 π \sqrt{\frac{l}{9.8}}$
238097	Simplify	square root of x^5y^5*3 square root of 5x^13y^8	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{5 x^{13} y^{8}}$
238098	Simplify	(y^2)/(8c^2d^2)-(3x)/(14c^4d)	$\frac{y^{2}}{8 c^{2} d^{2}} - \frac{3 x}{14 c^{4} d}$
238099	Solve the Inequality for x	-1/4>=8x-(6x+9)+6	$- \frac{1}{4} \geq 8 x - (6 x + 9) + 6$
238100	Evaluate Using the Given Value	8-5xy^3 for x=3 and y=-2	$8 - 5 x y^{3}$ for $x = 3$ and $y = - 2$