Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233001	Simplify	b^-21*4^-15	$b^{- 21} \cdot 4^{- 15}$
233002	Write in Standard Form	(4i)/( square root of 2+i)	$\frac{4 i}{\sqrt{2} + i}$
233003	Solve for x	x+0.60(15)=0.80(x+15)	$x + 0.6 (15) = 0.8 (x + 15)$
233004	Convert to Radical Form	-4 square root of 6- square root of 6	$- 4 \sqrt{6} - \sqrt{6}$
233005	Simplify	(16^(-1/6)*9^(1/6))^2	${(16^{- \frac{1}{6}} \cdot 9^{\frac{1}{6}})}^{2}$
233006	Solve the Rational Equation for x	-2=3-7 fifth root of x^2	$- 2 = 3 - 7 \sqrt[5]{x^{2}}$
233007	Solve for l	a=l*w	$a = l \cdot w$
233008	Simplify	4*2^x	$4 \cdot 2^{x}$
233009	Solve for m	15m(m+4)=26m-15	$15 m (m + 4) = 26 m - 15$
233010	Solve for x	4(5-7x)=6-12x	$4 (5 - 7 x) = 6 - 12 x$
233011	Simplify the Radical Expression	fourth root of cube root of 81	$\sqrt[4]{\sqrt[3]{81}}$
233012	Expand the Logarithmic Expression	log base b of x^4 cube root of y	$\log_{b} (x^{4} \sqrt[3]{y})$
233013	Simplify	(14x)/(-2x^7)	$\frac{14 x}{- 2 x^{7}}$
233014	Solve by Factoring	(x^2-6)(x^2+1)=0	$(x^{2} - 6) (x^{2} + 1) = 0$
233015	Write the Fraction in Simplest Form	5/9*6	$\frac{5}{9} \cdot 6$
233016	Simplify	4/x-(5x)/2	$\frac{4}{x} - \frac{5 x}{2}$
233017	Simplify	1/x-2/(x^2+x)-3/(x+3)	$\frac{1}{x} - \frac{2}{x^{2} + x} - \frac{3}{x + 3}$
233018	Factor	3x^2-9=26x	$3 x^{2} - 9 = 26 x$
233019	Evaluate Using the Given Value	Evaluate 9-b when b=8	Evaluate $9 - b$ when $b = 8$
233020	Evaluate	4(-3x+1)+(6x+3)	$4 (- 3 x + 1) + (6 x + 3)$
233021	Solve the Inequality for x	\|3x-5\|>=-2	$\| 3 x - 5 \| \geq - 2$
233022	Solve for x	1/2=2^((x)(x+2))	$\frac{1}{2} = 2^{(x) (x + 2)}$
233023	Find the Domain and Range	C(x)=(x+3)/(x-2)	$C (x) = \frac{x + 3}{x - 2}$
233024	Simplify	3(4)^4 square root of 4	$3 {(4)}^{4} \sqrt{4}$
233025	Simplify the Radical Expression	(7 square root of 9)(7 square root of -16)	$(7 \sqrt{9}) (7 \sqrt{- 16})$
233026	Simplify the Radical Expression	2 square root of 53 square root of 2 square root of 6	$2 \sqrt{5} \cdot 3 \sqrt{2} \cdot \sqrt{6}$
233027	Simplify the Radical Expression	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
233028	Write in Standard Form	237qt	$2 \cdot 3 \cdot 7 \cdot q \cdot t$
233029	Graph	y<3x+8 y>=4x	$y < 3 x + 8$ $y \geq 4 x$
233030	Graph	Graph y=x+3	Graph $y = x + 3$
233031	Graph	y=1/2x y=x+2	$y = \frac{1}{2} x$ $y = x + 2$
233032	Find the Product	(a^-2*8^7)^2	${(a^{- 2} \cdot 8^{7})}^{2}$
233033	Identify the Sequence	1/3 , 1/6 , 1/12	$\frac{1}{3}$ , $\frac{1}{6}$ , $\frac{1}{12}$
233034	Simplify the Radical Expression	(x^2)^3	${(x^{2})}^{3}$
233035	Evaluate	(16-4^2)/(2- square root of 4)	$\frac{16 - 4^{2}}{2 - \sqrt{4}}$
233036	Find the Domain and Range	x^2+6x+y^2-2y-15=0	$x^{2} + 6 x + y^{2} - 2 y - 15 = 0$
233037	Simplify the Radical Expression	square root of 75x^2y^-4	$\sqrt{75 x^{2} y^{- 4}}$
233038	Evaluate	2(5)^(1-1)	$2 {(5)}^{1 - 1}$
233039	Evaluate	i^10i^11i^20	$i^{10} \cdot i^{11} \cdot i^{20}$
233040	Simplify the Radical Expression	fifth root of 7/(16x^3)	$\sqrt[5]{\frac{7}{16 x^{3}}}$
233041	Solve for x	(x-8)/(2x+2)+x/(2x+2)=(2x-3)/(x+1)	$\frac{x - 8}{2 x + 2} + \frac{x}{2 x + 2} = \frac{2 x - 3}{x + 1}$
233042	Solve for x	-(4x+4)=0	$- (4 x + 4) = 0$
233043	Solve the System of Equations	y=9-x y=2x^2+4x+6	$y = 9 - x$ $y = 2 x^{2} + 4 x + 6$
233044	Solve for t	t^4-21t^2+80=0	$t^{4} - 21 t^{2} + 80 = 0$
233045	Solve for x	x/(x-1)-2/(x+2)=(4x-1)/(x^2+x-2)	$\frac{x}{x - 1} - \frac{2}{x + 2} = \frac{4 x - 1}{x^{2} + x - 2}$
233046	Graph	f(x)=-x^2 g(x)=-x^2+6	$f (x) = - x^{2}$ $g (x) = - x^{2} + 6$
233047	Solve the Rational Equation for r	square root of r=2	$\sqrt{r} = 2$
233048	Solve for x	(x-4)/(x+2)=(x-6)/5	$\frac{x - 4}{x + 2} = \frac{x - 6}{5}$
233049	Find the x and y Intercepts	f(x)=2(1/4)^x-9	$f (x) = 2 {(\frac{1}{4})}^{x} - 9$
233050	Simplify	sin(x)sec(x)^2-sin(x)tan(x)^2	$\sin (x) \sec^{2} (x) - \sin (x) \tan^{2} (x)$
233051	Solve for r	r-6>-11	$r - 6 > - 11$
233052	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+23x^2+21x+30 is divided by x+5	Use the long division method to find the result when $4 x^{3} + 23 x^{2} + 21 x + 30$ is divided by $x + 5$
233053	Find the Domain and Range	y=-2cos(-x/2)	$y = - 2 \cos (- \frac{x}{2})$
233054	Find the Exact Value	sin(pi/6)+tan(pi/3)^2	$\sin (\frac{π}{6}) + \tan^{2} (\frac{π}{3})$
233055	Subtract	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
233056	Simplify the Radical Expression	- square root of 448x^6y^5	$- \sqrt{448 x^{6} y^{5}}$
233057	Simplify	(1+2yi)(3+i)+(1+2yi)(6-i)	$(1 + 2 y i) (3 + i) + (1 + 2 y i) (6 - i)$
233058	Solve for θ	2cos(theta)sin(theta)=cos(theta)	$2 \cos (θ) \sin (θ) = \cos (θ)$
233059	Simplify	(3a-1)/(a^2-b^2)-(3b-1)/(a^2-b^2)	$\frac{(3 a - 1)}{a^{2} - b^{2}} - \frac{(3 b - 1)}{a^{2} - b^{2}}$
233060	Rationalize the Denominator	(12x^2)/( square root of 3x)	$\frac{12 x^{2}}{\sqrt{3 x}}$
233061	Evaluate	((x^2y^-2)^-3)/((x^-2y)^-2)	$\frac{{(x^{2} y^{- 2})}^{- 3}}{{(x^{- 2} y)}^{- 2}}$
233062	Solve the Inequality for x	7x+9(-2x+8)<18x	$7 x + 9 (- 2 x + 8) < 18 x$
233063	Solve for x	square root of x^2+3x=2	$\sqrt{x^{2} + 3 x} = 2$
233064	Multiply	(7-2a)(4a^2+4a+3)	$(7 - 2 a) (4 a^{2} + 4 a + 3)$
233065	Simplify	square root of 32x^3+2 square root of 6x-8 square root of 2x^3+4 square root of 24x	$\sqrt{32 x^{3}} + 2 \sqrt{6 x} - 8 \sqrt{2 x^{3}} + 4 \sqrt{24 x}$
233066	Solve the Inequality for y	x-2y<2	$x - 2 y < 2$
233067	Simplify	((7a^2)/(7a^3+56a^2))÷(2/(a^2+7a-8))	$\frac{7 a^{2}}{7 a^{3} + 56 a^{2}} \div \frac{2}{a^{2} + 7 a - 8}$
233068	Simplify	(4a*6a^5)/(8a^2)	$\frac{4 a \cdot 6 a^{5}}{8 a^{2}}$
233069	Subtract	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
233070	Simplify	((y^2-36)/(6y))/((y^2+6y)/(5y^3))	$\frac{\frac{y^{2} - 36}{6 y}}{\frac{y^{2} + 6 y}{5 y^{3}}}$
233071	Solve for x	x^2-1=(x+1)(x-1)	$x^{2} - 1 = (x + 1) (x - 1)$
233072	Solve for w	-11w+7+10w=19+2w	$- 11 w + 7 + 10 w = 19 + 2 w$
233073	Solve for x	(5x-1)^2+16=0	${(5 x - 1)}^{2} + 16 = 0$
233074	Multiply	(c^2-cd-d^2)(c+d)	$(c^{2} - c d - d^{2}) (c + d)$
233075	Simplify	(24a^2b^9c^-7)/(36a^3bc^4)	$\frac{24 a^{2} b^{9} c^{- 7}}{36 a^{3} b c^{4}}$
233076	Multiply	(49-y^2)/(6y^2+42y)*(48y^3)/(y^2-10y+21)	$\frac{49 - y^{2}}{6 y^{2} + 42 y} \cdot \frac{48 y^{3}}{y^{2} - 10 y + 21}$
233077	Simplify	(4+ square root of 12)/(4- square root of 12)	$\frac{4 + \sqrt{12}}{4 - \sqrt{12}}$
233078	Simplify the Radical Expression	6 square root of 5+3 square root of 5-3 square root of 6	$6 \sqrt{5} + 3 \sqrt{5} - 3 \sqrt{6}$
233079	Simplify	log base w of ((x^2-6)^4)/( cube root of x^2+8)	$\log_{w} (\frac{{(x^{2} - 6)}^{4}}{\sqrt[3]{x^{2} + 8}})$
233080	Evaluate	((2+3)^2-5)*4	$({(2 + 3)}^{2} - 5) \cdot 4$
233081	Solve for y	2xy^2+x^3+y=20	$2 x y^{2} + x^{3} + y = 20$
233082	Simplify	(15y(y+1))/(45y^2(y+1))	$\frac{15 y (y + 1)}{45 y^{2} (y + 1)}$
233083	Simplify	((xy^-3z^-2)/(x^4y^4z^-3))^-3	${(\frac{x y^{- 3} z^{- 2}}{x^{4} y^{4} z^{- 3}})}^{- 3}$
233084	Evaluate	( square root of 2/2)^2	${(\sqrt{\frac{2}{2}})}^{2}$
233085	Graph	f(x)=1/(x(x+3)(x-3))	$f (x) = \frac{1}{x (x + 3) (x - 3)}$
233086	Find the Inverse	f(x)=12*11^(3x)+13	$f (x) = 12 \cdot 11^{3 x} + 13$
233087	Solve the System of Equations	9x+5y=41 and x+y=9	$9 x + 5 y = 41$ and $x + y = 9$
233088	Find the Exact Value	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
233089	Solve the Inequality for x	4^x>2^x	$4^{x} > 2^{x}$
233090	Solve for Y	Y=\|-1\|+5	$Y = \| - 1 \| + 5$
233091	Find the Distance Between Two Points	(m,0) and (n,0)	$(m, 0)$ and $(n, 0)$
233092	Solve for y	Solve: 2y-4=14	Solve: $2 y - 4 = 14$
233093	Solve Using the Quadratic Formula	y=x^2-2x	$y = x^{2} - 2 x$
233094	Simplify the Radical Expression	fourth root of v fifth root of v^8	$\sqrt[4]{v} \sqrt[5]{v^{8}}$
233095	Simplify	a^3b^2(b^-1)^3	$a^{3} b^{2} {(b^{- 1})}^{3}$
233096	Find the Product	(x^2+6x+8)/(x^2+4x+3)*(x+3)/(x+2)	$\frac{x^{2} + 6 x + 8}{x^{2} + 4 x + 3} \cdot \frac{x + 3}{x + 2}$
233097	Solve the System of Inequalities	v+2<=6 or v-4>=12	$v + 2 \leq 6$ or $v - 4 \geq 12$
233098	Solve for t	5t^3+60t^2=-180t	$5 t^{3} + 60 t^{2} = - 180 t$
233099	Simplify	(x^2)/(x^2-49)-(9x-14)/(x^2-49)	$\frac{x^{2}}{x^{2} - 49} - \frac{9 x - 14}{x^{2} - 49}$
233100	Convert to Radical Form	(m^16no)^(1/2)	${(m^{16} n o)}^{\frac{1}{2}}$