Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226001	Solve the Rational Equation for n	square root of 3n = square root of 4n-1	$\sqrt{3 n} = \sqrt{4 n - 1}$
226002	Simplify	(-k^-4m^7)(3k^5m^-1)(2k^-2m)	$(- k^{- 4} m^{7}) (3 k^{5} m^{- 1}) (2 k^{- 2} m)$
226003	Solve the System of Equations	-4x+8y=40 and -2x+y=-10	$- 4 x + 8 y = 40$ and $- 2 x + y = - 10$
226004	Multiply	2/373/2	$\frac{2}{3} \cdot 7 \cdot \frac{3}{2}$
226005	Find the Exact Value	sin((7pi)/2)^2+3tan((7pi)/4)	$\sin^{2} (\frac{7 π}{2}) + 3 \tan (\frac{7 π}{4})$
226006	Solve for b	3/(b+2)=6/5	$\frac{3}{b + 2} = \frac{6}{5}$
226007	Solve by Addition/Elimination	-3x^2+2x-5=y -x+2=-y	$- 3 x^{2} + 2 x - 5 = y$ $- x + 2 = - y$
226008	Solve the Inequality for x	4(-6+3x)>4x+8	$4 (- 6 + 3 x) > 4 x + 8$
226009	Solve for x	\|2-3/x\|>=1	$\| 2 - \frac{3}{x} \| \geq 1$
226010	Evaluate	cube root of 80/( cube root of 10)	$\sqrt[3]{\frac{80}{\sqrt[3]{10}}}$
226011	Simplify the Radical Expression	b^4*b^(-1/4)	$b^{4} \cdot b^{- \frac{1}{4}}$
226012	Simplify	2y+3x-2(x-6y+4)	$2 y + 3 x - 2 (x - 6 y + 4)$
226013	Evaluate	25% of 300	$25 %$ of $300$
226014	Solve for x	10^(2x+7)>=1000^x	$10^{2 x + 7} \geq 1000^{x}$
226015	Solve the Inequality for x	3 square root of x<=12	$3 \sqrt{x} \leq 12$
226016	Simplify	(2^53^4)/(2^73^2)	$\frac{2^{5} \cdot 3^{4}}{2^{7} \cdot 3^{2}}$
226017	Simplify	((x^2-16)/(x^3-6x^2+8x)*(2-x)/(x^2-100))÷((x^2+12x+32)/(x^2+18x+80))	$\frac{x^{2} - 16}{x^{3} - 6 x^{2} + 8 x} \cdot \frac{2 - x}{x^{2} - 100} \div \frac{x^{2} + 12 x + 32}{x^{2} + 18 x + 80}$
226018	Convert to a Decimal	-2rad	$- 2$ radians
226019	Find the Roots (Zeros)	F(x)=x^4-6x^3+8x^2-21	$F (x) = x^{4} - 6 x^{3} + 8 x^{2} - 21$
226020	Divide Using Long Polynomial Division	(y^4-3y^3+2y^2-20)÷(y^2+y-5)	$(y^{4} - 3 y^{3} + 2 y^{2} - 20) \div (y^{2} + y - 5)$
226021	Graph	Graph the line x=-5	Graph the line $x = - 5$
226022	Simplify	5x^2-(6x-4y)+9z	$5 x^{2} - (6 x - 4 y) + 9 z$
226023	Simplify	square root of 3*(- square root of 2)	$\sqrt{3} \cdot (- \sqrt{2})$
226024	Solve by Graphing	6x-9=y y=-3x	$6 x - 9 = y$ $y = - 3 x$
226025	Simplify the Radical Expression	cube root of (108x^9y^10)/(2xy^3)	$\sqrt[3]{\frac{108 x^{9} y^{10}}{2 x y^{3}}}$
226026	Simplify the Radical Expression	fifth root of 7^3* cube root of 7^4	$\sqrt[5]{7^{3}} \cdot \sqrt[3]{7^{4}}$
226027	Evaluate	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
226028	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 $- 2$ ?
226029	Divide	(-18a+6a^2)/(-3a)	$\frac{- 18 a + 6 a^{2}}{- 3 a}$
226030	Solve the Inequality for x	5x-6y<2y-x+8	$5 x - 6 y < 2 y - x + 8$
226031	Solve the Inequality for x	1/x-x<0	$\frac{1}{x} - x < 0$
226032	Find the Inverse	y=x/2+3	$y = \frac{x}{2} + 3$
226033	Evaluate	(5/2-6/4)^3	${(\frac{5}{2} - \frac{6}{4})}^{3}$
226034	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 $- 1$ ?
226035	Evaluate	8+24÷(12*4)	$8 + 24 \div (12 \cdot 4)$
226036	Evaluate	2b^3+5=2(3)^3+5	$2 b^{3} + 5 = 2 {(3)}^{3} + 5$
226037	Find the x and y Intercepts	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
226038	Solve for x	3/4(-5x-8)=-6(x+4)+1/4x	$\frac{3}{4} (- 5 x - 8) = - 6 (x + 4) + \frac{1}{4} x$
226039	Subtract	(6n)/(n^2-9)-3/(n+3)	$\frac{6 n}{n^{2} - 9} - \frac{3}{n + 3}$
226040	Simplify	2^n2^(n+2)2	$2^{n} \cdot 2^{n + 2} \cdot 2$
226041	Solve the System of Equations	x^2+y^2=400 y=x-28	$x^{2} + y^{2} = 400$ $y = x - 28$
226042	Evaluate	1/(( fifth root of -32)^-3)	$\frac{1}{{(\sqrt[5]{- 32})}^{- 3}}$
226043	Find the Exact Value	sin(-5/4pi)	$\sin (- \frac{5}{4} π)$
226044	Find the Equation Using Point-Slope Formula	through: (3,5) , slope=5/3	through: $(3, 5)$ , $s l o p e = \frac{5}{3}$
226045	Evaluate	8^(2/3)+8^(-2/3)	$8^{\frac{2}{3}} + 8^{- \frac{2}{3}}$
226046	Evaluate the Function	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
226047	Solve for c	c=72(27)^(2/3)	$c = 72 {(27)}^{\frac{2}{3}}$
226048	Simplify	((3x^2y)/z)^4	${(\frac{3 x^{2} y}{z})}^{4}$
226049	Evaluate Using the Given Value	Evaluate the expression bh if b=12 , h=9	Evaluate the expression $b h$ if $b = 12$ , $h = 9$
226050	Simplify	(x^3)/(x^2-x)	$\frac{x^{3}}{x^{2} - x}$
226051	Factor	x^2(a-b)-6x(a-b)-9(b-a)	$x^{2} (a - b) - 6 x (a - b) - 9 (b - a)$
226052	Solve for x	8/5=(11x)/4	$\frac{8}{5} = \frac{11 x}{4}$
226053	Solve for x	4x-2=-3x^2+3x	$4 x - 2 = - 3 x^{2} + 3 x$
226054	Write the Fraction in Simplest Form	(3m^8)/((4mt^-2)^2)	$\frac{3 m^{8}}{{(4 m t^{- 2})}^{2}}$
226055	Write the Fraction in Simplest Form	(-3y^-5)/(5(y)^2)	$\frac{- 3 y^{- 5}}{5 {(y)}^{2}}$
226056	Evaluate	square root of 3(1)-2	$\sqrt{3 (1) - 2}$
226057	Find the Excluded Values	3/x=9/(8x)+3	$\frac{3}{x} = \frac{9}{8 x} + 3$
226058	Solve for x	4x^2-36=3x^2-5x	$4 x^{2} - 36 = 3 x^{2} - 5 x$
226059	Solve the Inequality for x	-18<3(x+2)<12	$- 18 < 3 (x + 2) < 12$
226060	Simplify	seventh root of 3-3 seventh root of 3+5 seventh root of 3	$\sqrt[7]{3} - 3 \sqrt[7]{3} + 5 \sqrt[7]{3}$
226061	Describe the Transformation	f(x)=1/2*5^(-x)-1	$f (x) = \frac{1}{2} \cdot 5^{- x} - 1$
226062	Simplify the Radical Expression	(5a^3b^2)2/3	$(5 a^{3} b^{2}) \frac{2}{3}$
226063	Find the x-intercept	f(x)=2x-6	$f (x) = 2 x - 6$
226064	Evaluate	0- square root of 3	$0 - \sqrt{3}$
226065	Evaluate	(tan(x))/(csc(x)^2)+(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\csc^{2} (x)} + \frac{\tan (x)}{\sec^{2} (x)}$
226066	Evaluate the Function	f(x+3)=f(x+1)+4x+12	$f (x + 3) = f (x + 1) + 4 x + 12$
226067	Simplify	(3^-3)/(6^-2)	$\frac{3^{- 3}}{6^{- 2}}$
226068	Simplify	y/(x^2)+y/(x^3)	$\frac{y}{x^{2}} + \frac{y}{x^{3}}$
226069	Find the Inverse	f(x)=((x-7)^(1/5))/7+9	$f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$
226070	Find the Inverse	y = square root of x-2+2	$y = \sqrt{x - 2 + 2}$
226071	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 $y = 3$ ?
226072	Evaluate	5x-2y>3	$5 x - 2 y > 3$
226073	Multiply	(3y^4)(y^3-6y^2)	$(3 y^{4}) (y^{3} - 6 y^{2})$
226074	Factor	(4x^2+5x)^2-5(4x^2+5x)-6	${(4 x^{2} + 5 x)}^{2} - 5 (4 x^{2} + 5 x) - 6$
226075	Solve for x	5x+6x-2x=3x-18+12-6	$5 x + 6 x - 2 x = 3 x - 18 + 12 - 6$
226076	Evaluate the Function	f(-2)=-2+6	$f (- 2) = - 2 + 6$
226077	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 $y = 5$
226078	Simplify	y-1/(y^2)	$y - \frac{1}{y^{2}}$
226079	Simplify the Radical Expression	y^(3/4)*y^(1/3)	$y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}$
226080	Write in Standard Form	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
226081	Graph	S(t) = square root of x-3+1	$S (t) = \sqrt{x - 3} + 1$
226082	Simplify the Radical Expression	7 square root of y^3	$7 \sqrt{y^{3}}$
226083	Divide	(5n^3+4n^2+2n)÷4n	$(5 n^{3} + 4 n^{2} + 2 n) \div 4 n$
226084	Multiply	(42a^2-24a)/(21a-12)*(3a-9)/(6a^2+24a)	$\frac{42 a^{2} - 24 a}{21 a - 12} \cdot \frac{3 a - 9}{6 a^{2} + 24 a}$
226085	Graph	y=sin(2)(x-pi/2)	$y = \sin (2) (x - \frac{π}{2})$
226086	Simplify	(x^4y^3)(-5xy^3)^4	$(x^{4} y^{3}) {(- 5 x y^{3})}^{4}$
226087	Simplify	(x^2-2xy+y^2)/(x/y-y/x)	$\frac{x^{2} - 2 x y + y^{2}}{\frac{x}{y} - \frac{y}{x}}$
226088	Simplify	(4 square root of 2)/(4 square root of 3)	$\frac{4 \sqrt{2}}{4 \sqrt{3}}$
226089	Write in Standard Form	(8d^4)(-8d^4)	$(8 d^{4}) (- 8 d^{4})$
226090	Solve for S	P=S-Sdt	$P = S - S d t$
226091	Find All Complex Solutions	(11pi)/12=(3pi)/4+pi/6	$\frac{11 π}{12} = \frac{3 π}{4} + \frac{π}{6}$
226092	Simplify	square root of (9x^9)/(75x^5)	$\sqrt{\frac{9 x^{9}}{75 x^{5}}}$
226093	Solve for x	3^x*9^(2x-3)=27^(x+9)	$3^{x} \cdot 9^{2 x - 3} = 27^{x + 9}$
226094	Solve for r	(3a+b)/(2r)=6	$\frac{3 a + b}{2 r} = 6$
226095	Simplify	sin(theta)^2+sin(theta)csc(theta)+cos(theta)^2	$\sin^{2} (θ) + \sin (θ) \csc (θ) + \cos^{2} (θ)$
226096	Simplify	10+3(12÷(3x))	$10 + 3 (12 \div (3 x))$
226097	Simplify	(3m+6)/(12m-36)-6/(12m-36)	$\frac{3 m + 6}{12 m - 36} - \frac{6}{12 m - 36}$
226098	Simplify	(10x^4+3x^2-5x+4)+(7x^5-5x^4+2x-9)	$(10 x^{4} + 3 x^{2} - 5 x + 4) + (7 x^{5} - 5 x^{4} + 2 x - 9)$
226099	Solve for x	(4x)^(1/3)-x=0	${(4 x)}^{\frac{1}{3}} - x = 0$
226100	Write as a Single Logarithm	6* log base 4 of 2- log base 4 of 8	$6 \cdot \log_{4} (2) - \log_{4} (8)$