Mathway | Popular Problems

Popular Problems

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