Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195001	Combine Like Terms	(-10x^2-1)+(-8x^2+8x-8)	$(- 10 x^{2} - 1) + (- 8 x^{2} + 8 x - 8)$
195002	Solve for g	8-2g-2+4g=20	$8 - 2 g - 2 + 4 g = 20$
195003	Simplify	5x^4y^3*x^2y	$5 x^{4} y^{3} \cdot x^{2} y$
195004	Find the x and y Intercepts	f(x)=(18-3x-x^2)/(x^2-9)	$f (x) = \frac{18 - 3 x - x^{2}}{x^{2} - 9}$
195005	Simplify	( square root of 3)/(-1- square root of 5)	$\frac{\sqrt{3}}{- 1 - \sqrt{5}}$
195006	Write in Exponential Form	cube root of y square root of y	$\sqrt[3]{y \sqrt{y}}$
195007	Evaluate	square root of -8	$\sqrt[2]{- 8}$
195008	Find the Product	(6-d)(d^2-5+3d)	$(6 - d) (d^{2} - 5 + 3 d)$
195009	Graph	f(x)=(2x-1)/(x^2+1)	$f (x) = \frac{2 x - 1}{x^{2} + 1}$
195010	Combine Like Terms	-6m+8n+5-m-n-6m-11	$- 6 m + 8 n + 5 - m - n - 6 m - 11$
195011	Factor	x square root of x-1	$x \sqrt{x} - 1$
195012	Divide	(-x)÷(-1)	$- x \div (- 1)$
195013	Solve for x	4sin(x)=2sin(x)+ square root of 2	$4 \sin (x) = 2 \sin (x) + \sqrt{2}$
195014	Solve for y	y/4+2-(y+1)/6>=(y+5)/9	$\frac{y}{4} + 2 - \frac{y + 1}{6} \geq \frac{y + 5}{9}$
195015	Solve for x	-14+3(x+10)=7(2x+4)+x	$- 14 + 3 (x + 10) = 7 (2 x + 4) + x$
195016	Solve for r	v=4/3pir^2	$v = \frac{4}{3} π r^{2}$
195017	Find the Distance Between Two Points	(-9,3) and (-3,-5)	$(- 9, 3)$ and $(- 3, - 5)$
195018	Solve for x	f(x)=x^2-5x+3 , f(x)=-3	$f (x) = x^{2} - 5 x + 3$ , $f (x) = - 3$
195019	Evaluate	(3x^2+4)-(-5x^2+4x-1)	$(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)$
195020	Rewrite the Cartesian Equation as a Polar Equation	x^2+y^2=25	$x^{2} + y^{2} = 25$
195021	Simplify	(-3x^2+5x-8)+(-10x^2-x-3)	$(- 3 x^{2} + 5 x - 8) + (- 10 x^{2} - x - 3)$
195022	Write in Standard Form	2x^2=8x-7	$2 x^{2} = 8 x - 7$
195023	Solve the Absolute Value Inequality for m	(\|-2m\|)/3+3>8	$\frac{\| - 2 m \|}{3} + 3 > 8$
195024	Graph	5y^2+2x-30y=-49	$5 y^{2} + 2 x - 30 y = - 49$
195025	Solve Using the Quadratic Formula	4/(t-3)+t/2=-2	$\frac{4}{t - 3} + \frac{t}{2} = - 2$
195026	Graph	F(x)=1/(x(x+2))	$F (x) = \frac{1}{x (x + 2)}$
195027	Solve for F	W=Fd	$W = F d$
195028	Factor by Grouping	45x^3y-75x^2y^2-30x^4y^3	$45 x^{3} y - 75 x^{2} y^{2} - 30 x^{4} y^{3}$
195029	Find the Holes in the Graph	(-2x^2+32)/(3x-12)	$\frac{- 2 x^{2} + 32}{3 x - 12}$
195030	Graph	y<1/3x	$y < \frac{1}{3} x$
195031	Find g(f(x))	f(x)=3x+10 g(x)=x-2	$f (x) = 3 x + 10$ $g (x) = x - 2$
195032	Find the x and y Intercepts	y=-1/2x(x-8)	$y = - \frac{1}{2} x (x - 8)$
195033	Solve the Inequality for x	(x+1)/(x+3)>=2	$\frac{x + 1}{x + 3} \geq 2$
195034	Simplify	(-5x^2y^3z^4)/(15x^4y^2z^4)	$\frac{- 5 x^{2} y^{3} z^{4}}{15 x^{4} y^{2} z^{4}}$
195035	Combine Like Terms	(x^2-5x+6)+(3x^2-8x-2)	$(x^{2} - 5 x + 6) + (3 x^{2} - 8 x - 2)$
195036	Evaluate	(5*(7-4)^3)÷(10-1)	$5 \cdot {(7 - 4)}^{3} \div (10 - 1)$
195037	Find the Holes in the Graph	(-3x^2+3x)/(2x^2-9x+7)	$\frac{- 3 x^{2} + 3 x}{2 x^{2} - 9 x + 7}$
195038	Evaluate	55% of 60	$55 %$ of $60$
195039	Find the Domain and Range	F(x)=x^3-3x^2	$F (x) = x^{3} - 3 x^{2}$
195040	Simplify	-3n^2(-2n^3+7n+4n)	$- 3 n^{2} (- 2 n^{3} + 7 n + 4 n)$
195041	Solve for b	1/3b+1=13-1/9b	$\frac{1}{3} b + 1 = 13 - \frac{1}{9} b$
195042	Factor	10p^2q^3+14p^3q^2-18p^4q^3-16p^5q^4	$10 p^{2} q^{3} + 14 p^{3} q^{2} - 18 p^{4} q^{3} - 16 p^{5} q^{4}$
195043	Solve for w	6w^2-11w+12=6w	$6 w^{2} - 11 w + 12 = 6 w$
195044	Solve for R	W=(2PR)/(R-r)	$W = \frac{2 P R}{R - r}$
195045	Simplify the Radical Expression	( square root of x)^5	${(\sqrt{x})}^{5}$
195046	Simplify	6/(1-51/x)	$\frac{6}{1 - 5 \frac{1}{x}}$
195047	Solve for a	y=a(0.5)^(t/h)	$y = a {(0.5)}^{\frac{t}{h}}$
195048	Solve the System of Inequalities	9-12r>=-99 and -2r-4<-12	$9 - 12 r \geq - 99$ and $- 2 r - 4 < - 12$
195049	Solve for x	2(5x+2)(16x^2-9)=0	$2 (5 x + 2) (16 x^{2} - 9) = 0$
195050	Simplify	square root of x^3+ square root of 16x^3-3x square root of x	$\sqrt{x^{3}} + \sqrt{16 x^{3}} - 3 x \sqrt{x}$
195051	Solve for y	8y^2-30y+27=2	$8 y^{2} - 30 y + 27 = 2$
195052	Simplify	((y^2-z^2)/(yz))/((y-z)/z)	$\frac{\frac{y^{2} - z^{2}}{y z}}{\frac{y - z}{z}}$
195053	Solve for s	4/s=-2/9	$\frac{4}{s} = \frac{- 2}{9}$
195054	Solve for x	7x=5x-25+30	$7 x = 5 x - 25 + 30$
195055	Solve the Inequality for C	105+256C>=1000	$105 + 256 C \geq 1000$
195056	Solve the Inequality for a	-1<=(6-a)/3<=1	$- 1 \leq \frac{6 - a}{3} \leq 1$
195057	Factor	x^2+5x(x+2y)+6(x+2y)^2	$x^{2} + 5 x (x + 2 y) + 6 {(x + 2 y)}^{2}$
195058	Find the Domain and Range	\|2x+3\|	$\| 2 x + 3 \|$
195059	Convert to Radical Form	(8*320)^(1/3)	${(8 \cdot 320)}^{\frac{1}{3}}$
195060	Solve for x	10^2=2(2+x)	$10^{2} = 2 (2 + x)$
195061	Solve for x	log base 2x of 2x^2+6x-4=2	$\log_{2 x} (2 x^{2} + 6 x - 4) = 2$
195062	Find the Exact Value	sin(45 degrees +180 degrees )	$\sin (45 ° + 180 °)$
195063	Simplify	1+( square root of 2)/2	$1 + \frac{\sqrt{2}}{2}$
195064	Write in Standard Form	(2m-3+7m^2)-(3-9m^2-2m)	$(2 m - 3 + 7 m^{2}) - (3 - 9 m^{2} - 2 m)$
195065	Solve the Inequality for r	5r+4<=5	$5 r + 4 \leq 5$
195066	Simplify the Radical Expression	( square root of 7)/( square root of 11)	$\frac{\sqrt{7}}{\sqrt{11}}$
195067	Solve for x	xw+4=xy+8	$x w + 4 = x y + 8$
195068	Solve the Inequality for x	(x-2)/(x-3)<=0	$\frac{x - 2}{x - 3} \leq 0$
195069	Factor	u^3-u^2v+uv^2-v^3	$u^{3} - u^{2} v + u v^{2} - v^{3}$
195070	Simplify	(3xy^2)^(1/2)	${(3 x y^{2})}^{\frac{1}{2}}$
195071	Solve for w	5(w-1)-2=5w+7	$5 (w - 1) - 2 = 5 w + 7$
195072	Solve for r	rt=d	$r t = d$
195073	Find the Exact Value	1-2sin(165 degrees )^2	$1 - 2 \sin^{2} (165 °)$
195074	Solve for x	-2(x+10)(100x^2-81)=0	$- 2 (x + 10) (100 x^{2} - 81) = 0$
195075	Solve for x	log base 1/2 of x^2+x- log base 1/2 of x^2-x=-1	$\log_{\frac{1}{2}} (x^{2} + x) - \log_{\frac{1}{2}} (x^{2} - x) = - 1$
195076	Find the x and y Intercepts	y-6x-1=-3x^2	$y - 6 x - 1 = - 3 x^{2}$
195077	Solve the Inequality for x	-1/4x<=-8x-(-7x+2)	$- \frac{1}{4} x \leq - 8 x - (- 7 x + 2)$
195078	Solve for x	-8x-5+3x=7+4x-9	$- 8 x - 5 + 3 x = 7 + 4 x - 9$
195079	Find the Holes in the Graph	(3x+12)/(-x^2-3x+4)	$\frac{3 x + 12}{- x^{2} - 3 x + 4}$
195080	Find f(g(x))	f(x)=2x-3 , g(x)=x+1	$f (x) = 2 x - 3$ , $g (x) = x + 1$
195081	Subtract	7x-9 from 2x^2-11	$7 x - 9$ from $2 x^{2} - 11$
195082	Solve the Inequality for n	14<n-22	$14 < n - 22$
195083	Evaluate	(x-2)^2+1	${(x - 2)}^{2} + 1$
195084	Simplify	-4-5(3+6)(-2+10)	$- 4 - 5 (3 + 6) (- 2 + 10)$
195085	Solve for x	(5x^2-4)^(1/4)=x	${(5 x^{2} - 4)}^{\frac{1}{4}} = x$
195086	Solve the Inequality for x	x^2-5x<=-6	$x^{2} - 5 x \leq - 6$
195087	Solve for θ	sin(theta)+ square root of 3cos(theta)=1	$\sin (θ) + \sqrt{3} \cos (θ) = 1$
195088	Solve for x	2(3x+5)-2x+2=0	$2 (3 x + 5) - 2 x + 2 = 0$
195089	Find the Holes in the Graph	f(x)=(x^2-4)/(x^2-3x+2)	$f (x) = \frac{x^{2} - 4}{x^{2} - 3 x + 2}$
195090	Solve the Inequality for x	1-x^2>=0	$1 - x^{2} \geq 0$
195091	Solve for x	log base 8 of 2x^2-6x-16=2	$\log_{8} (2 x^{2} - 6 x - 16) = 2$
195092	Simplify	m/(m+n)+n/(m+n)	$\frac{m}{m + n} + \frac{n}{m + n}$
195093	Solve for x	-2(16x^2-49)(x^2-2)=0	$- 2 (16 x^{2} - 49) (x^{2} - 2) = 0$
195094	Solve for x	5/(2x)-8/9=1/18-1/(3x)	$\frac{5}{2 x} - \frac{8}{9} = \frac{1}{18} - \frac{1}{3 x}$
195095	Simplify	tan(theta)^2(cot(theta)^2-cos(theta)^2) ?	$\tan^{2} (θ) (\cot^{2} (θ) - \cos^{2} (θ))$ ?
195096	Simplify	(x-2)/(4x)+(x+5)/(10x)	$\frac{x - 2}{4 x} + \frac{x + 5}{10 x}$
195097	Combine Like Terms	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
195098	Find the Exact Value	sin(30 degrees )cos(60 degrees )	$\sin (30 °) \cos (60 °)$
195099	Solve the Inequality for x	(x+3)/x+1>0	$\frac{x + 3}{x} + 1 > 0$
195100	Graph	g(x)=-7/6\|x-2\|	$g (x) = - \frac{7}{6} \| x - 2 \|$