Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217001	Solve the Inequality for n	8n-10<6-2n	$8 n - 10 < 6 - 2 n$
217002	Find the Domain and Range	x+y^3=12	$x + y^{3} = 12$
217003	Solve by Substitution	y=x+8 and x+y=2	$y = x + 8$ and $x + y = 2$
217004	Solve the System of Inequalities	y>=2/3x+3 y>-4/3x-3	$y \geq \frac{2}{3} x + 3$ $y > - \frac{4}{3} x - 3$
217005	Evaluate	(-3r^3s^5)^2-r^6s^10	${(- 3 r^{3} s^{5})}^{2} - r^{6} s^{10}$
217006	Simplify	square root of 18xy	$\sqrt{18 x y}$
217007	Solve the Inequality for x	3+x/4>=5	$3 + \frac{x}{4} \geq 5$
217008	Evaluate	x^2y^-3	$x^{2} y^{- 3}$
217009	Solve the Inequality for n	(2n)/7<=4	$\frac{2 n}{7} \leq 4$
217010	Write in Slope-Intercept Form	(-2,-8) and (6,4)	$(- 2, - 8)$ and $(6, 4)$
217011	Solve for m	p=(mt)/6	$p = \frac{m t}{6}$
217012	Simplify	(2x)/(x^2+2x-8)(x-2)/(2x)(x^2+9x+20)/(x+5)	$\frac{2 x}{x^{2} + 2 x - 8} \cdot \frac{x - 2}{2 x} \cdot \frac{x^{2} + 9 x + 20}{x + 5}$
217013	Find the Exact Value	sec(pi/4)+7csc(pi/6)	$\sec (\frac{π}{4}) + 7 \csc (\frac{π}{6})$
217014	Graph	x-2y=8 y=-1/2x	$x - 2 y = 8$ $y = - \frac{1}{2} x$
217015	Simplify	(3-a)*2+a	$(3 - a) \cdot 2 + a$
217016	Divide Using Long Polynomial Division	(x^4-y^4)÷(x-y)	$(x^{4} - y^{4}) \div (x - y)$
217017	Simplify	(12y^6ab)(-3yx^3b)	$(12 y^{6} a b) (- 3 y x^{3} b)$
217018	Solve for v	m=d*v	$m = d \cdot v$
217019	Find the Inverse	f(x) = cube root of -x/2	$f (x) = \sqrt[3]{- \frac{x}{2}}$
217020	Solve the System of Equations	y=1/4x+5 y=-x	$y = \frac{1}{4} x + 5$ $y = - x$
217021	Write the Fraction in Simplest Form	(36a^3bc^2)/(24ab^4c^2)	$\frac{36 a^{3} b c^{2}}{24 a b^{4} c^{2}}$
217022	Simplify	square root of m^3 fifth root of m^4	$\sqrt{m^{3}} \sqrt[5]{m^{4}}$
217023	Find the Domain and Range	y=2tan(x/2)-1	$y = 2 \tan (\frac{x}{2}) - 1$
217024	Evaluate	i^5i^11i^18*i^8	$i^{5} \cdot i^{11} \cdot i^{18} \cdot i^{8}$
217025	Solve for x	8/3=(x-9)/(7x+4)	$\frac{8}{3} = \frac{x - 9}{7 x + 4}$
217026	Graph	y=2tan(x/2)-1	$y = 2 \tan (\frac{x}{2}) - 1$
217027	Find the Equation Using Two Points	(3,4) and (0,5)	$(3, 4)$ and $(0, 5)$
217028	Graph	x-4y<=4y	$x - 4 y \leq 4 y$
217029	Evaluate	10% of 30	$10 %$ of $30$
217030	Simplify the Radical Expression	5a cube root of 152a^4b^5	$5 a \sqrt[3]{152 a^{4} b^{5}}$
217031	Solve for N	1-5/8=N	$1 - \frac{5}{8} = N$
217032	Graph	y=-1/2cos(pi/4x)	$y = - \frac{1}{2} \cos (\frac{π}{4} x)$
217033	Solve for x	x+7+1/3x=3/2x-2	$x + 7 + \frac{1}{3} x = \frac{3}{2} x - 2$
217034	Simplify	(3/y+7/x)/(1/y-2/x)	$\frac{\frac{3}{y} + \frac{7}{x}}{\frac{1}{y} - \frac{2}{x}}$
217035	Factor	(x-y)^5-(x^2-y^2)^7	${(x - y)}^{5} - {(x^{2} - y^{2})}^{7}$
217036	Solve Using the Quadratic Formula	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
217037	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,4) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 4, 4)$ and has a slope of $- 3$ ?
217038	Divide	(40p^3+2p^2+40p)÷8p^2	$(40 p^{3} + 2 p^{2} + 40 p) \div 8 p^{2}$
217039	Solve the Inequality for k	2k+1/3>1	$2 k + \frac{1}{3} > 1$
217040	Solve the Inequality for x	-3(7x+3)<6x	$- 3 (7 x + 3) < 6 x$
217041	Solve the Inequality for x	x^2+x-4>16	$x^{2} + x - 4 > 16$
217042	Write with Rational (Fractional) Exponents	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
217043	Solve for a	(45-2a)^(1/2)=(a-6)^(1/2)	${(45 - 2 a)}^{\frac{1}{2}} = {(a - 6)}^{\frac{1}{2}}$
217044	Graph	f(x)=-1/3x^2+4/3x-16/3	$f (x) = - \frac{1}{3} x^{2} + \frac{4}{3} x - \frac{16}{3}$
217045	Simplify	(a+1)/(2a)+3/(a^2)	$\frac{a + 1}{2 a} + \frac{3}{a^{2}}$
217046	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+9x^2-22x+24 is divided by x+4	Use synthetic division to find the result when $4 x^{3} + 9 x^{2} - 22 x + 24$ is divided by $x + 4$
217047	Multiply	(yz)(12xy-25xz-4y^2)	$(y z) (12 x y - 25 x z - 4 y^{2})$
217048	Solve for X	3(X-8)=-33	$3 (X - 8) = - 33$
217049	Simplify	-3/(3 square root of 2)	$- \frac{3}{3 \sqrt{2}}$
217050	Find the Product	-2/5(5-10e)=e+1/3(6e-12)	$- \frac{2}{5} (5 - 10 e) = e + \frac{1}{3} (6 e - 12)$
217051	Solve by Factoring	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
217052	Write the Fraction in Simplest Form	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
217053	Simplify	2^5*(2^4)^2	$2^{5} \cdot {(2^{4})}^{2}$
217054	Graph	y=x+-2	$y = x + - 2$
217055	Factor	sin(x)^3-sin(x)^2-sin(x)+1	$\sin^{3} (x) - \sin^{2} (x) - \sin (x) + 1$
217056	Multiply	j^2(k^5j^3)	$j^{2} (k^{5} j^{3})$
217057	Simplify	f(x)( cube root of 64x^6)/(x^5)	$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
217058	Solve for y	x+2=3y	$x + 2 = 3 y$
217059	Find All Complex Solutions	square root of 2x+3=x	$\sqrt{2 x + 3} = x$
217060	Solve for x	(x+1)(x^2-5x+6)<=0	$(x + 1) (x^{2} - 5 x + 6) \leq 0$
217061	Simplify	square root of (5-x)^3-8	$\sqrt{{(5 - x)}^{3}} - 8$
217062	Evaluate	(x^7y^3)/(xy^-4)	$\frac{x^{7} y^{3}}{x y^{- 4}}$
217063	Simplify	3^0-4x^0+(-2x^2)^0	$3^{0} - 4 x^{0} + {(- 2 x^{2})}^{0}$
217064	Solve for x	-(-2x+1)=9-14x	$- (- 2 x + 1) = 9 - 14 x$
217065	Write in Slope-Intercept Form	y+4=x	$y + 4 = x$
217066	Solve for c	2x^3-2x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 2 x^{2} - 24 x = a x (x + b) (x + c)$
217067	Solve for f	e^2+f^2=1	$e^{2} + f^{2} = 1$
217068	Simplify	-6+(-2d)+(-4d)+3d	$- 6 + (- 2 d) + (- 4 d) + 3 d$
217069	Find the Exact Value	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
217070	Evaluate	g(5)=6.72(2)^5	$g (5) = 6.72 {(2)}^{5}$
217071	Simplify	((m^8m^3)/(nm))^3	${(\frac{m^{8} \cdot m^{3}}{n \cdot m})}^{3}$
217072	Simplify	(x+4)(x+1)(2x-3)(x-1)	$(x + 4) (x + 1) (2 x - 3) (x - 1)$
217073	Multiply	square root of 3x^4* square root of 5x^2* square root of 10	$\sqrt{3 x^{4}} \cdot \sqrt{5 x^{2}} \cdot \sqrt{10}$
217074	Solve for x	(1/27)^4=9^(2x)	${(\frac{1}{27})}^{4} = 9^{2 x}$
217075	Solve for c	198=9-7c^3	$198 = 9 - 7 c^{3}$
217076	Evaluate	square root of x-8+ square root of x=4	$\sqrt{x - 8} + \sqrt{x} = 4$
217077	Evaluate	2x+2x+2=4x+2	$2 x + 2 x + 2 = 4 x + 2$
217078	Solve the Inequality for x	-8<(2x+5)/2<2	$- 8 < \frac{2 x + 5}{2} < 2$
217079	Simplify	2(cos((5pi)/3)+isin((5pi)/3))*4(cos(pi/6)+isin(pi/6))	$2 (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3})) \cdot 4 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
217080	Combine Like Terms	3(2/3p+3-1/3p-5)	$3 (\frac{2}{3} p + 3 - \frac{1}{3} p - 5)$
217081	Solve the Inequality for b	\|b-7\|<6	$\| b - 7 \| < 6$
217082	Solve for x	5/(6x-2)=-1/(x+1)	$\frac{5}{6 x - 2} = \frac{- 1}{x + 1}$
217083	Solve the Inequality for x	x^2+x-14<=6x-8	$x^{2} + x - 14 \leq 6 x - 8$
217084	Evaluate	( square root of 1/2)^3(2/( square root of 3))^3	${(\sqrt{\frac{1}{2}})}^{3} {(\frac{2}{\sqrt{3}})}^{3}$
217085	Solve the Inequality for x	4-2/3x>2-x	$4 - \frac{2}{3} x > 2 - x$
217086	Solve for x	(4x)/(x-1)-(5x)/(x-2)=2/(x^2-3x+2)	$\frac{4 x}{x - 1} - \frac{5 x}{x - 2} = \frac{2}{x^{2} - 3 x + 2}$
217087	Simplify	(sin(theta))/(1+cos(theta))+(1-cos(theta))/(sin(theta))	$\frac{\sin (θ)}{1 + \cos (θ)} + \frac{1 - \cos (θ)}{\sin (θ)}$
217088	Solve for x	(x+3)/4=(7x-1)/2	$\frac{x + 3}{4} = \frac{7 x - 1}{2}$
217089	Solve for d	d*24=-12	$d \cdot 24 = - 12$
217090	Solve for b	1/2b+9/4=7/4	$\frac{1}{2} b + \frac{9}{4} = \frac{7}{4}$
217091	Simplify	(3/4*2/7)÷(1/2)	$\frac{3}{4} \cdot \frac{2}{7} \div \frac{1}{2}$
217092	Simplify	((x-4)/(2x^2))÷((3x-12)/(6x))	$\frac{x - 4}{2 x^{2}} \div \frac{3 x - 12}{6 x}$
217093	Simplify	3x3x^23x^3	$3 x \cdot 3 x^{2} \cdot 3 x^{3}$
217094	Simplify	1/(4^(1/2))	$\frac{1}{4^{\frac{1}{2}}}$
217095	Evaluate	(x+4)/4=x/(x-2)	$\frac{x + 4}{4} = \frac{x}{x - 2}$
217096	Factor by Grouping	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
217097	Solve Using the Quadratic Formula	x^2-11=x+9	$x^{2} - 11 = x + 9$
217098	Simplify the Radical Expression	( cube root of x^5)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[5]{x^{2}}}$
217099	Solve by Graphing	2x-2y=14 x-y=2	$2 x - 2 y = 14$ $x - y = 2$
217100	Evaluate	-1/( square root of 1-(3/4)^2)	$- \frac{1}{\sqrt{1 - {(\frac{3}{4})}^{2}}}$