Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186001	Solve the Inequality for x	(2x+4)/2<6	$\frac{2 x + 4}{2} < 6$
186002	Convert to Polar	2x-3y=5	$2 x - 3 y = 5$
186003	Subtract	(7x)/5-x/5	$\frac{7 x}{5} - \frac{x}{5}$
186004	Simplify	(-3-3i)^2-17i	${(- 3 - 3 i)}^{2} - 17 i$
186005	Find f(g(x))	f(x)=2x^2-7x-4 g(x)=2x-4	$f (x) = 2 x^{2} - 7 x - 4$ $g (x) = 2 x - 4$
186006	Find the x and y Intercepts	f(x)=3(1/2)^x	$f (x) = 3 {(\frac{1}{2})}^{x}$
186007	Find the Exact Value	cos(arcsin(3x))	$\cos (\arcsin (3 x))$
186008	Graph	f(x)=x^2 g(x)=x^2+6	$f (x) = x^{2}$ $g (x) = x^{2} + 6$
186009	Convert to Polar	(x-4)^2+y^2=16	${(x - 4)}^{2} + y^{2} = 16$
186010	Solve for x	5^(2x+1)>=50	$5^{2 x + 1} \geq 50$
186011	Simplify/Condense	2/3 log base 5 of x-4/5 log base 5 of y-5/2 log base 5 of z	$\frac{2}{3} \log_{5} (x) - \frac{4}{5} \log_{5} (y) - \frac{5}{2} \log_{5} (z)$
186012	Simplify	-3/(3/x)	$- \frac{3}{\frac{3}{x}}$
186013	Graph	F(x)=-x^6+x^3-x^2	$F (x) = - x^{6} + x^{3} - x^{2}$
186014	Evaluate	3(-x)^2+2(-x)-2	$3 {(- x)}^{2} + 2 (- x) - 2$
186015	Graph Using a Table of Values	f(x)=-4x	$f (x) = - 4 x$
186016	Divide	2 5/6÷3 3/4	$2 \frac{5}{6} \div 3 \frac{3}{4}$
186017	Combine Like Terms	4y+3x^3+2y+8x^3-6y	$4 y + 3 x^{3} + 2 y + 8 x^{3} - 6 y$
186018	Find the Roots (Zeros)	f(x)=1/2x^2+5/2x-3/2	$f (x) = \frac{1}{2} x^{2} + \frac{5}{2} x - \frac{3}{2}$
186019	Graph	f(x)=x-1 if x<-3; 6 if x>1	$f (x) = {\begin{cases} x - 1 & x < - 3 \\ 6 & x > 1 \end{cases}$
186020	Multiply	7(2e-1)-3=6+6e	$7 (2 e - 1) - 3 = 6 + 6 e$
186021	Solve the Inequality for n	n+1>4	$n + 1 > 4$
186022	Solve for r	S=4pir^2 for r	$S = 4 π r^{2}$ for $r$
186023	Find the Domain and Range	f(x)=x^(3/2)	$f (x) = x^{\frac{3}{2}}$
186024	Evaluate	(x-3)+3	$(x - 3) + 3$
186025	Solve the System of Equations	-x+3y+4z=0 x+y-2z=-8 -2x+4y+3z=-4	$- x + 3 y + 4 z = 0$ $x + y - 2 z = - 8$ $- 2 x + 4 y + 3 z = - 4$
186026	Graph	y=kx+2	$y = k x + 2$
186027	Multiply	3i(-5+i)	$3 i (- 5 + i)$
186028	Solve the Inequality for y	(4y-1)^2>(2y+3)(8y-1)	${(4 y - 1)}^{2} > (2 y + 3) (8 y - 1)$
186029	Solve the Inequality for k	24+6k<-6(-4-k)	$24 + 6 k < - 6 (- 4 - k)$
186030	Simplify	( square root of 8)/(2 square root of 7)	$\frac{\sqrt{8}}{2 \sqrt{7}}$
186031	Solve for x	square root of 12-3x = square root of x-3	$\sqrt{12 - 3 x} = \sqrt{x - 3}$
186032	Solve the System of Equations	-2y+z=7 x+4y=-14 3x-2z=-8	$- 2 y + z = 7$ $x + 4 y = - 14$ $3 x - 2 z = - 8$
186033	Solve for y	y^2=12y-36	$y^{2} = 12 y - 36$
186034	Simplify	(9x^10y^3)/(-x^5y^3)	$\frac{9 x^{10} y^{3}}{- x^{5} y^{3}}$
186035	Write in Standard Form	x^2-y^2	$x^{2} - y^{2}$
186036	Solve for x	2-1/(x^2+x)=-x/(x+1)	$2 - \frac{1}{x^{2} + x} = - \frac{x}{x + 1}$
186037	Evaluate	negative infinity+negative infinity	$- \infty + - \infty$
186038	Simplify	7/3+3(2/3-1/3)^2	$\frac{7}{3} + 3 {(\frac{2}{3} - \frac{1}{3})}^{2}$
186039	Find the Domain and Range	f(x)=1/2\|x-2\|	$f (x) = \frac{1}{2} \| x - 2 \|$
186040	Evaluate	2(3^63^-5)	$2 \cdot (3^{6} \cdot 3^{- 5})$
186041	Graph Using a Table of Values	y=-1/x	$y = - \frac{1}{x}$
186042	Find the x and y Intercepts	f(x)=-8x-1+8x^2+8x^3	$f (x) = - 8 x - 1 + 8 x^{2} + 8 x^{3}$
186043	Graph	y=1/4 square root of x-1-3	$y = \frac{1}{4} \sqrt{x - 1} - 3$
186044	Solve by Completing the Square	x^2+79=14x+14	$x^{2} + 79 = 14 x + 14$
186045	Write in Slope-Intercept Form	(-6,5) and (-3,-3)	$(- 6, 5)$ and $(- 3, - 3)$
186046	Write in Standard Form	4x^2-2x=x^2+2x+5	$4 x^{2} - 2 x = x^{2} + 2 x + 5$
186047	Find the Holes in the Graph	f(x)=(x^2+7x+12)/(4x^2+12x-16)	$f (x) = \frac{x^{2} + 7 x + 12}{4 x^{2} + 12 x - 16}$
186048	Graph Using a Table of Values	f(x)=b^x	$f (x) = b^{x}$
186049	Factor	h(x)=2x^4-2x^3-7x^2+7x	$h (x) = 2 x^{4} - 2 x^{3} - 7 x^{2} + 7 x$
186050	Solve the Inequality for x	3/(x-3)<=2/(x+2)	$\frac{3}{x - 3} \leq \frac{2}{x + 2}$
186051	Graph	y=(x-2)/((x-1)^2)	$y = \frac{x - 2}{{(x - 1)}^{2}}$
186052	Solve the System of Equations	y-x=6 y+x=-10	$y - x = 6$ $y + x = - 10$
186053	Simplify	(x^4y^7)/( cube root of x^10y^4)	$\frac{x^{4} y^{7}}{\sqrt[3]{x^{10} y^{4}}}$ ?
186054	Graph	y=1/2x+3 2x+y=-2	$y = \frac{1}{2} x + 3$ $2 x + y = - 2$
186055	Solve the Inequality for h	\|h-5\|<=10	$\| h - 5 \| \leq 10$
186056	Simplify	(5/(x^2)-1/5)/(x/5+1)	$\frac{\frac{5}{x^{2}} - \frac{1}{5}}{\frac{x}{5} + 1}$
186057	Find the Exact Value	sin(pi/4)cos((5pi)/12)+cos(pi/4)sin((5pi)/12)	$\sin (\frac{π}{4}) \cos (\frac{5 π}{12}) + \cos (\frac{π}{4}) \sin (\frac{5 π}{12})$
186058	Simplify	((2 square root of 3)/3)^2	${(\frac{2 \sqrt{3}}{3})}^{2}$
186059	Solve the Inequality for z	-2z-4<-4z-7	$- 2 z - 4 < - 4 z - 7$
186060	Solve the Inequality for x	1/4x>1/2	$\frac{1}{4} x > \frac{1}{2}$
186061	Graph	x+5x-6<12	$x + 5 x - 6 < 12$
186062	Simplify	(8x)/(x^2+8x+16)-6/(x^2+4x)	$\frac{8 x}{x^{2} + 8 x + 16} - \frac{6}{x^{2} + 4 x}$
186063	Simplify	(9(x/2)-5)/((x/2)-3)	$\frac{9 (\frac{x}{2}) - 5}{(\frac{x}{2}) - 3}$
186064	Simplify	xxxxx	$x \cdot x \cdot x \cdot x \cdot x$
186065	Solve for a	ab-a=-b+1	$a b - a = - b + 1$
186066	Evaluate	3^(0-1)	$3^{0 - 1}$
186067	Solve the Rational Equation for x	(x+3)/(x-1)=4/(x-1)	$\frac{x + 3}{x - 1} = \frac{4}{x - 1}$
186068	Evaluate	-pi/2-pi/4	$- \frac{π}{2} - \frac{π}{4}$
186069	Solve for x	(8x-10)/(13x-2x)=2/2	$\frac{8 x - 10}{13 x - 2 x} = \frac{2}{2}$
186070	Find the x and y Intercepts	f(x)=-(3x-3)(x^2+5)	$f (x) = - (3 x - 3) (x^{2} + 5)$
186071	Graph Using a Table of Values	g(x) = log base 1/3 of x	$g (x) = \log_{\frac{1}{3}} (x)$
186072	Graph	m=2/3 , b=1	$m = \frac{2}{3}$ , $b = 1$
186073	Find the Product	(7m+8n)(7m-8n)	$(7 m + 8 n) (7 m - 8 n)$
186074	Simplify	((3x)/(2x-4))÷((6x^2)/(x-2))	$\frac{3 x}{2 x - 4} \div \frac{6 x^{2}}{x - 2}$
186075	Factor	(x^2+x-12)	$(x^{2} + x - 12)$
186076	Find the Area of the Triangle	(3,1) , (3,-2) , (-2,-2)	$(3, 1)$ , $(3, - 2)$ , $(- 2, - 2)$
186077	Solve the System of Equations	y=2x^2+2 and y=-2x^2+2	$y = 2 x^{2} + 2$ and $y = - 2 x^{2} + 2$
186078	Simplify	1/4+4(1/2-3/4)^2	$\frac{1}{4} + 4 {(\frac{1}{2} - \frac{3}{4})}^{2}$
186079	Subtract	(2p+5)/r-(2p-7)/r	$\frac{2 p + 5}{r} - \frac{2 p - 7}{r}$
186080	Factor	1/4x^2-8x+64	$\frac{1}{4} x^{2} - 8 x + 64$
186081	Find the Distance Between Two Points	(0,-3) and (5,2)	$(0, - 3)$ and $(5, 2)$
186082	Divide	40x^2+31x-33 by 5x+7	$40 x^{2} + 31 x - 33$ by $5 x + 7$
186083	Evaluate	fourth root of 81x^8y^6	$\sqrt[4]{81 x^{8} y^{6}}$
186084	Graph	y>=-1 and y<3	$y \geq - 1$ and $y < 3$
186085	Solve the Inequality for x	4-3x<=-(1+8x)	$4 - 3 x \leq - (1 + 8 x)$
186086	Evaluate	15cos(60)	$15 \cos (60)$
186087	Find the Function	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
186088	Find All Complex Solutions	square root of x+2=x	$\sqrt{x + 2} = x$
186089	Simplify	(-4b^3+b-1)+(6b-6)	$(- 4 b^{3} + b - 1) + (6 b - 6)$
186090	Find the Exact Value	arccot(1/( square root of 3))	$arccot (\frac{1}{\sqrt{3}})$
186091	Simplify	((x^2-x-20)/(2x+10))÷((x^2-16)/(x^2+x-20))	$\frac{x^{2} - x - 20}{2 x + 10} \div \frac{x^{2} - 16}{x^{2} + x - 20}$
186092	Factor by Grouping	3ax+ab-6x-2b	$3 a x + a b - 6 x - 2 b$
186093	Simplify	(x^2-x-12)/(x^2-16)*(x^2+2x-8)	$\frac{x^{2} - x - 12}{x^{2} - 16} \cdot (x^{2} + 2 x - 8)$
186094	Graph	-7+7x>=0	$- 7 + 7 x \geq 0$
186095	Expand the Logarithmic Expression	log base 2 of ((2^3)/13)^4	$\log_{2} ({(\frac{2^{3}}{13})}^{4})$
186096	Multiply	2/3*(-3/2)	$\frac{2}{3} \cdot (- \frac{3}{2})$
186097	Simplify	( square root of 2( square root of 3-1))/4	$\frac{\sqrt{2} (\sqrt{3} - 1)}{4}$
186098	Solve for x	3-1/x=-4x	$3 - \frac{1}{x} = - 4 x$
186099	Write the Fraction in Simplest Form	11/8*2/5	$\frac{11}{8} \cdot \frac{2}{5}$
186100	Simplify	(5x^4-55x^3+120x^2)/(x^3-4x^2-32x)*(x^2-16)/(10x^2-70x+120)	$\frac{5 x^{4} - 55 x^{3} + 120 x^{2}}{x^{3} - 4 x^{2} - 32 x} \cdot \frac{x^{2} - 16}{10 x^{2} - 70 x + 120}$