Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226001	Simplify	((x^2-16)/(x^3-6x^2+8x)*(2-x)/(x^2-100))÷((x^2+12x+32)/(x^2+18x+80))	$\frac{x^{2} - 16}{x^{3} - 6 x^{2} + 8 x} \cdot \frac{2 - x}{x^{2} - 100} \div \frac{x^{2} + 12 x + 32}{x^{2} + 18 x + 80}$
226002	Convert to a Decimal	-2rad	$- 2$ radians
226003	Find the Roots (Zeros)	F(x)=x^4-6x^3+8x^2-21	$F (x) = x^{4} - 6 x^{3} + 8 x^{2} - 21$
226004	Divide Using Long Polynomial Division	(y^4-3y^3+2y^2-20)÷(y^2+y-5)	$(y^{4} - 3 y^{3} + 2 y^{2} - 20) \div (y^{2} + y - 5)$
226005	Graph	Graph the line x=-5	Graph the line $x = - 5$
226006	Simplify	5x^2-(6x-4y)+9z	$5 x^{2} - (6 x - 4 y) + 9 z$
226007	Simplify	square root of 3*(- square root of 2)	$\sqrt{3} \cdot (- \sqrt{2})$
226008	Solve by Graphing	6x-9=y y=-3x	$6 x - 9 = y$ $y = - 3 x$
226009	Simplify the Radical Expression	cube root of (108x^9y^10)/(2xy^3)	$\sqrt[3]{\frac{108 x^{9} y^{10}}{2 x y^{3}}}$
226010	Simplify the Radical Expression	fifth root of 7^3* cube root of 7^4	$\sqrt[5]{7^{3}} \cdot \sqrt[3]{7^{4}}$
226011	Evaluate	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
226012	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,6) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 6)$ and has a slope of $- 2$ ?
226013	Divide	(-18a+6a^2)/(-3a)	$\frac{- 18 a + 6 a^{2}}{- 3 a}$
226014	Solve the Inequality for x	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
226015	Solve the Inequality for x	1/x-x<0	$\frac{1}{x} - x < 0$
226016	Find the Inverse	y=x/2+3	$y = \frac{x}{2} + 3$
226017	Evaluate	(5/2-6/4)^3	${(\frac{5}{2} - \frac{6}{4})}^{3}$
226018	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-7) and has a slope of -1 ?	What is the equation of the line that passes through the point $(5, - 7)$ and has a slope of $- 1$ ?
226019	Evaluate	8+24÷(12*4)	$8 + 24 \div (12 \cdot 4)$
226020	Evaluate	2b^3+5=2(3)^3+5	$2 b^{3} + 5 = 2 {(3)}^{3} + 5$
226021	Find the x and y Intercepts	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
226022	Solve for x	3/4(-5x-8)=-6(x+4)+1/4x	$\frac{3}{4} (- 5 x - 8) = - 6 (x + 4) + \frac{1}{4} x$
226023	Subtract	(6n)/(n^2-9)-3/(n+3)	$\frac{6 n}{n^{2} - 9} - \frac{3}{n + 3}$
226024	Simplify	2^n2^(n+2)2	$2^{n} \cdot 2^{n + 2} \cdot 2$
226025	Solve the System of Equations	x^2+y^2=400 y=x-28	$x^{2} + y^{2} = 400$ $y = x - 28$
226026	Evaluate	1/(( fifth root of -32)^-3)	$\frac{1}{{(\sqrt[5]{- 32})}^{- 3}}$
226027	Find the Exact Value	sin(-5/4pi)	$\sin (- \frac{5}{4} π)$
226028	Find the Equation Using Point-Slope Formula	through: (3,5) , slope=5/3	through: $(3, 5)$ , $s l o p e = \frac{5}{3}$
226029	Evaluate	8^(2/3)+8^(-2/3)	$8^{\frac{2}{3}} + 8^{- \frac{2}{3}}$
226030	Evaluate the Function	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
226031	Solve for c	c=72(27)^(2/3)	$c = 72 {(27)}^{\frac{2}{3}}$
226032	Simplify	((3x^2y)/z)^4	${(\frac{3 x^{2} y}{z})}^{4}$
226033	Evaluate Using the Given Value	Evaluate the expression bh if b=12 , h=9	Evaluate the expression $b h$ if $b = 12$ , $h = 9$
226034	Simplify	(x^3)/(x^2-x)	$\frac{x^{3}}{x^{2} - x}$
226035	Factor	x^2(a-b)-6x(a-b)-9(b-a)	$x^{2} (a - b) - 6 x (a - b) - 9 (b - a)$
226036	Solve for x	8/5=(11x)/4	$\frac{8}{5} = \frac{11 x}{4}$
226037	Solve for x	4x-2=-3x^2+3x	$4 x - 2 = - 3 x^{2} + 3 x$
226038	Write the Fraction in Simplest Form	(3m^8)/((4mt^-2)^2)	$\frac{3 m^{8}}{{(4 m t^{- 2})}^{2}}$
226039	Write the Fraction in Simplest Form	(-3y^-5)/(5(y)^2)	$\frac{- 3 y^{- 5}}{5 {(y)}^{2}}$
226040	Evaluate	square root of 3(1)-2	$\sqrt{3 (1) - 2}$
226041	Find the Excluded Values	3/x=9/(8x)+3	$\frac{3}{x} = \frac{9}{8 x} + 3$
226042	Solve for x	4x^2-36=3x^2-5x	$4 x^{2} - 36 = 3 x^{2} - 5 x$
226043	Solve the Inequality for x	-18<3(x+2)<12	$- 18 < 3 (x + 2) < 12$
226044	Simplify	seventh root of 3-3 seventh root of 3+5 seventh root of 3	$\sqrt[7]{3} - 3 \sqrt[7]{3} + 5 \sqrt[7]{3}$
226045	Describe the Transformation	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
226046	Simplify the Radical Expression	(5a^3b^2)2/3	$(5 a^{3} b^{2}) \frac{2}{3}$
226047	Find the x-intercept	f(x)=2x-6	$f (x) = 2 x - 6$
226048	Evaluate	0- square root of 3	$0 - \sqrt{3}$
226049	Evaluate	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
226050	Evaluate the Function	f(x+3)=f(x+1)+4x+12	$f (x + 3) = f (x + 1) + 4 x + 12$
226051	Simplify	(3^-3)/(6^-2)	$\frac{3^{- 3}}{6^{- 2}}$
226052	Simplify	y/(x^2)+y/(x^3)	$\frac{y}{x^{2}} + \frac{y}{x^{3}}$
226053	Find the Inverse	f(x)=((x-7)^(1/5))/7+9	$f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$
226054	Find the Inverse	y = square root of x-2+2	$y = \sqrt{x - 2 + 2}$
226055	Evaluate Using the Given Value	What is the value of 2(x-3y+8)+7+4x ; when x=5 and y=3 ?	What is the value of $2 (x - 3 y + 8) + 7 + 4 x$ ; when $x = 5$ and $y = 3$ ?
226056	Evaluate	5x-2y>3	$5 x - 2 y > 3$
226057	Multiply	(3y^4)(y^3-6y^2)	$(3 y^{4}) (y^{3} - 6 y^{2})$
226058	Factor	(4x^2+5x)^2-5(4x^2+5x)-6	${(4 x^{2} + 5 x)}^{2} - 5 (4 x^{2} + 5 x) - 6$
226059	Solve for x	5x+6x-2x=3x-18+12-6	$5 x + 6 x - 2 x = 3 x - 18 + 12 - 6$
226060	Evaluate the Function	f(-2)=-2+6	$f (- 2) = - 2 + 6$
226061	Evaluate Using the Given Value	Evaluate the expression x+y when x=2 and y=5	Evaluate the expression $x + y$ when $x = 2$ and $y = 5$
226062	Simplify	y-1/(y^2)	$y - \frac{1}{y^{2}}$
226063	Simplify the Radical Expression	y^(3/4)*y^(1/3)	$y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}$
226064	Write in Standard Form	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
226065	Graph	S(t) = square root of x-3+1	$S (t) = \sqrt{x - 3} + 1$
226066	Simplify the Radical Expression	7 square root of y^3	$7 \sqrt{y^{3}}$
226067	Divide	(5n^3+4n^2+2n)÷4n	$(5 n^{3} + 4 n^{2} + 2 n) \div 4 n$
226068	Multiply	(42a^2-24a)/(21a-12)*(3a-9)/(6a^2+24a)	$\frac{42 a^{2} - 24 a}{21 a - 12} \cdot \frac{3 a - 9}{6 a^{2} + 24 a}$
226069	Graph	y=sin(2)(x-pi/2)	$y = \sin (2) (x - \frac{π}{2})$
226070	Simplify	(x^4y^3)(-5xy^3)^4	$(x^{4} y^{3}) {(- 5 x y^{3})}^{4}$
226071	Simplify	(x^2-2xy+y^2)/(x/y-y/x)	$\frac{x^{2} - 2 x y + y^{2}}{\frac{x}{y} - \frac{y}{x}}$
226072	Simplify	(4 square root of 2)/(4 square root of 3)	$\frac{4 \sqrt{2}}{4 \sqrt{3}}$
226073	Write in Standard Form	(8d^4)(-8d^4)	$(8 d^{4}) (- 8 d^{4})$
226074	Solve for S	P=S-Sdt	$P = S - S d t$
226075	Find All Complex Solutions	(11pi)/12=(3pi)/4+pi/6	$\frac{11 π}{12} = \frac{3 π}{4} + \frac{π}{6}$
226076	Simplify	square root of (9x^9)/(75x^5)	$\sqrt{\frac{9 x^{9}}{75 x^{5}}}$
226077	Solve for x	3^x*9^(2x-3)=27^(x+9)	$3^{x} \cdot 9^{2 x - 3} = 27^{x + 9}$
226078	Solve for r	(3a+b)/(2r)=6	$\frac{3 a + b}{2 r} = 6$
226079	Simplify	sin(theta)^2+sin(theta)csc(theta)+cos(theta)^2	$\sin^{2} (θ) + \sin (θ) \csc (θ) + \cos^{2} (θ)$
226080	Simplify	10+3(12÷(3x))	$10 + 3 (12 \div (3 x))$
226081	Simplify	(3m+6)/(12m-36)-6/(12m-36)	$\frac{3 m + 6}{12 m - 36} - \frac{6}{12 m - 36}$
226082	Simplify	(10x^4+3x^2-5x+4)+(7x^5-5x^4+2x-9)	$(10 x^{4} + 3 x^{2} - 5 x + 4) + (7 x^{5} - 5 x^{4} + 2 x - 9)$
226083	Solve for x	(4x)^(1/3)-x=0	${(4 x)}^{\frac{1}{3}} - x = 0$
226084	Write as a Single Logarithm	6* log base 4 of 2- log base 4 of 8	$6 \cdot \log_{4} (2) - \log_{4} (8)$
226085	Solve the Inequality for x	5x^2-22x+1>=-7	$5 x^{2} - 22 x + 1 \geq - 7$
226086	Simplify	x^2y^2*x^6y^7	$x^{2} y^{2} \cdot x^{6} y^{7}$
226087	Solve for A	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
226088	Solve for y	x+3i=9-yi	$x + 3 i = 9 - y i$
226089	Graph	g(x)=(1/3x)^3	$g (x) = {(\frac{1}{3} x)}^{3}$
226090	Simplify	(3x^2+x)^3	${(3 x^{2} + x)}^{3}$
226091	Solve for x	4^x=3/2x+3	$4^{x} = \frac{3}{2} x + 3$
226092	Convert to Interval Notation	x<1 or x>=5	$x < 1$ or $x \geq 5$
226093	Solve the Inequality for y	-8y<-3y+5	$- 8 y < - 3 y + 5$
226094	Simplify	12 square root of 4-5 square root of 4+2 square root of 4	$12 \sqrt{4} - 5 \sqrt{4} + 2 \sqrt{4}$
226095	Simplify	(6a^2)/(15a+10)+5/(15a+10)	$\frac{6 a^{2}}{15 a + 10} + \frac{5}{15 a + 10}$
226096	Solve for x	cube root of 2x^3-1=x	$\sqrt[3]{2 x^{3} - 1} = x$
226097	Solve for x	\|x+2\|+5<4	$\| x + 2 \| + 5 < 4$
226098	Find the Product	x/(x-5)*(2x)/(x+4)	$\frac{x}{x - 5} \cdot \frac{2 x}{x + 4}$
226099	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+9x^2+7x+10 is divided by x+2	Use synthetic division to find the result when $4 x^{3} + 9 x^{2} + 7 x + 10$ is divided by $x + 2$
226100	Simplify	a/b*b/(2a)	$\frac{a}{b} \cdot \frac{b}{2 a}$