Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171901	Simplify	( square root of -40)(- square root of 5)	$(\sqrt{- 40}) (- \sqrt{5})$
171902	Solve for x	3^(2x)>=6^(x+1)	$3^{2 x} \geq 6^{x + 1}$
171903	Solve the System of Inequalities	2n+19<=10+n or -3n+3<-2n+33	$2 n + 19 \leq 10 + n$ or $- 3 n + 3 < - 2 n + 33$
171904	Solve the System of Equations	x+y+z=9 -2x+y+2z=3 x-4y-z=2	$x + y + z = 9$ $- 2 x + y + 2 z = 3$ $x - 4 y - z = 2$
171905	Solve for x	x^2+(11x)/3=5/12	$x^{2} + \frac{11 x}{3} = \frac{5}{12}$
171906	Solve the System of Equations	-3x-8y=-8 y=2-x	$- 3 x - 8 y = - 8$ $y = 2 - x$
171907	Solve the Rational Equation for x	square root of 2x+12=x-6	$\sqrt{2 x + 12} = x - 6$
171908	Solve for b	-1/4=-1/6b-7/8	$- \frac{1}{4} = - \frac{1}{6} b - \frac{7}{8}$
171909	Find the Domain and Range	f(x)=\|5-x\|	$f (x) = \| 5 - x \|$
171910	Solve for p	-6(-p+8)=-6p+12	$- 6 (- p + 8) = - 6 p + 12$
171911	Solve for θ	cot(theta)=0	$\cot (θ) = 0$
171912	Solve for x	4x-3(x-2)=21	$4 x - 3 (x - 2) = 21$
171913	Graph	x+y<=0	$x + y \leq 0$
171914	Solve the Inequality for x	(-4(x-2))/2<=-x	$\frac{- 4 (x - 2)}{2} \leq - x$
171915	Evaluate	2/510+36-6	$\frac{2}{5} \cdot 10 + 3 \cdot 6 - 6$
171916	Divide	m÷m	$m \div m$
171917	Solve for d	7(c+d)=14	$7 (c + d) = 14$
171918	Graph	3x-4y+5>0	$3 x - 4 y + 5 > 0$
171919	Graph Using a Table of Values	y=(2/3)^x	$y = {(\frac{2}{3})}^{x}$
171920	Solve for x	x^4+2x^2+1=0	$x^{4} + 2 x^{2} + 1 = 0$
171921	Solve the System of Equations	y=x-2 y=x^2-6x+8	$y = x - 2$ $y = x^{2} - 6 x + 8$
171922	Graph	g(x)=1/2f(x+2)	$g (x) = \frac{1}{2} f (x + 2)$
171923	Solve for x	square root of 12x+24=6x	$\sqrt{12 x + 24} = 6 x$
171924	Simplify	(16x^3)/(5y^9)*(x^3y^7)/(80xy^2)	$\frac{16 x^{3}}{5 y^{9}} \cdot \frac{x^{3} y^{7}}{80 x y^{2}}$
171925	Graph	3y<=-7x	$3 y \leq - 7 x$
171926	Simplify	(6x(x+3)(x-2))/(3(x-2)(x+9))	$\frac{6 x (x + 3) (x - 2)}{3 (x - 2) (x + 9)}$
171927	Evaluate	2(1/2)^1	$2 {(\frac{1}{2})}^{1}$
171928	Solve the Inequality for x	\|x\|>8	$\| x \| > 8$
171929	Simplify	(12y^5m)/(4(y^3m^4)^-2)	$\frac{12 y^{5} m}{4 {(y^{3} m^{4})}^{- 2}}$
171930	Solve for x	0=x^2+6x+9	$0 = x^{2} + 6 x + 9$
171931	Find f(g(x))	f(x)=x+6 g(x)=x-6	$f (x) = x + 6$ $g (x) = x - 6$
171932	Find the x and y Intercepts	y=(3x)/5+4	$y = \frac{3 x}{5} + 4$
171933	Solve for x	3500=720(1.1)^(x/4)+1400	$3500 = 720 {(1.1)}^{\frac{x}{4}} + 1400$
171934	Simplify	(6 square root of 9)( square root of -6)	$(6 \sqrt{9}) (\sqrt{- 6})$
171935	Convert to Radical Form	(8^-8)(8^3)	$(8^{- 8}) (8^{3})$
171936	Solve for x	1+1/x=10	$1 + \frac{1}{x} = 10$
171937	Simplify	(3a)/(bc)+(2b)/(ac)	$\frac{3 a}{b c} + \frac{2 b}{a c}$
171938	Simplify	a+((-2a+b)-(-a+b-c)+a)	$a + ((- 2 a + b) - (- a + b - c) + a)$
171939	Simplify	(4^-3*2^-3)^0	${(4^{- 3} \cdot 2^{- 3})}^{0}$
171940	Graph	x(x-6)>=0	$x (x - 6) \geq 0$
171941	Simplify	2 square root of 48-(2+ square root of 12)(5- square root of 12)	$2 \sqrt{48} - (2 + \sqrt{12}) (5 - \sqrt{12})$
171942	Solve for x	1=x^2-4x+4	$1 = x^{2} - 4 x + 4$
171943	Graph	3-y>=-\|x-4\|	$3 - y \geq - \| x - 4 \|$
171944	Simplify the Radical Expression	cube root of 27y^6	$\sqrt[3]{27 y^{6}}$
171945	Solve for y	10/(y+11)=25/(-3y)	$\frac{10}{y + 11} = \frac{25}{- 3 y}$
171946	Simplify	5/2-9/(2x)	$\frac{5}{2} - \frac{9}{2 x}$
171947	Solve for θ	csc(theta)=(2 square root of 3)/3	$\csc (θ) = \frac{2 \sqrt{3}}{3}$
171948	Simplify	(xy-x^2)/(x^3)	$\frac{x y - x^{2}}{x^{3}}$
171949	Evaluate the Function	f(x)=-3x^2-6x at x=1	$f (x) = - 3 x^{2} - 6 x$ at $x = 1$
171950	Graph	y<=(x+2)^2	$y \leq {(x + 2)}^{2}$
171951	Solve by Completing the Square	0=x^2+6x+13	$0 = x^{2} + 6 x + 13$
171952	Simplify	square root of 2/(x^2)* square root of (x^2)/18	$\sqrt{\frac{2}{x^{2}}} \cdot \sqrt{\frac{x^{2}}{18}}$
171953	Find the Inverse	y = square root of x-6+2	$y = \sqrt{x - 6} + 2$
171954	Evaluate	1(1/2)	$1 (\frac{1}{2})$
171955	Solve for f	2/3f-3=-1+4/9f+4/9f+6	$\frac{2}{3} f - 3 = - 1 + \frac{4}{9} f + \frac{4}{9} f + 6$
171956	Solve the Inequality for k	-1.2k>6	$- 1.2 k > 6$
171957	Evaluate	pi/2*pi/2	$\frac{π}{2} \cdot \frac{π}{2}$
171958	Solve for k	2k-9<=-19	$2 k - 9 \leq - 19$
171959	Graph	y<=3x+2 and y>-2x+3	$y \leq 3 x + 2$ and $y > - 2 x + 3$
171960	Simplify	(2 square root of -49)(- square root of 36)	$(2 \sqrt{- 49}) (- \sqrt{36})$
171961	Solve the System of Inequalities	2n+7>=27 or 3+3n<=30	$2 n + 7 \geq 27$ or $3 + 3 n \leq 30$
171962	Simplify	4x^2-7+2x-3x^2+8x-6	$4 x^{2} - 7 + 2 x - 3 x^{2} + 8 x - 6$
171963	Divide	(3^3)÷(3^-4)	$3^{3} \div 3^{- 4}$
171964	Solve the Inequality for y	-3y<=-18	$- 3 y \leq - 18$
171965	Solve the System of Inequalities	2x+5<23 and 27>=2x+5	$2 x + 5 < 23$ and $27 \geq 2 x + 5$
171966	Simplify	(-5t^5)/((5t^4)^2)	$\frac{- 5 t^{5}}{{(5 t^{4})}^{2}}$
171967	Find the LCD	4/(3x^2-23x+40) , (9x)/(3x^2-17x+24)	$\frac{4}{3 x^{2} - 23 x + 40}$ , $\frac{9 x}{3 x^{2} - 17 x + 24}$
171968	Evaluate	4 natural log of e^2+ natural log of e^9	$4 \ln (e^{2}) + \ln (e^{9})$
171969	Simplify	(x-y+z)^2	${(x - y + z)}^{2}$
171970	Simplify	(2^-3)/(3^-2)	$\frac{2^{- 3}}{3^{- 2}}$
171971	Factor	(3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2)	$(3 x + 2) (x + y - z) - (3 x + 2) - (x + y - 1) (3 x + 2)$
171972	Find the x and y Intercepts	3x+4y	$3 x + 4 y$
171973	Solve the Inequality for x	x(x-6)<0	$x (x - 6) < 0$
171974	Simplify	(14x^2)/(21y)	$\frac{14 x^{2}}{21 y}$
171975	Simplify	(3^7)÷(3^0)	$3^{7} \div 3^{0}$
171976	Simplify	((1-2)+(2-1))/((36a-24a)*12.2)	$\frac{(1 - 2) + (2 - 1)}{(36 a - 24 a) \cdot 12.2}$
171977	Multiply	square root of y^3* square root of y^3	$\sqrt{y^{3}} \cdot \sqrt{y^{3}}$
171978	Graph Using a Table of Values	5^x	$5^{x}$
171979	Simplify	3(x+x+y)	$3 (x + x + y)$
171980	Simplify	-8(5-(10-4(5-8)))	$- 8 (5 - (10 - 4 (5 - 8)))$
171981	Subtract	(-9n^4+8)-(-9n^4+2n^3+5n^2)	$(- 9 n^{4} + 8) - (- 9 n^{4} + 2 n^{3} + 5 n^{2})$
171982	Simplify	((4s^-1j^-3)^-3)/(20s^-2)	$\frac{{(4 s^{- 1} j^{- 3})}^{- 3}}{20 s^{- 2}}$
171983	Solve Using the Quadratic Formula	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
171984	Solve for x	1/2=14/(6x-2)-6/(3x-1)	$\frac{1}{2} = \frac{14}{6 x - 2} - \frac{6}{3 x - 1}$
171985	Graph	f(x)<\|4x+1\|-3	$f (x) < \| 4 x + 1 \| - 3$
171986	Factor	32mn^2-48mn+24	$32 m n^{2} - 48 m n + 24$
171987	Simplify	(3y^7)/((2y^-2)^-5)	$\frac{3 y^{7}}{{(2 y^{- 2})}^{- 5}}$
171988	Solve for x	6x+a=5(x+t)	$6 x + a = 5 (x + t)$
171989	Solve for z	square root of z=23	$\sqrt{z} = 23$
171990	Evaluate	4pi(12)^2	$4 π {(12)}^{2}$
171991	Solve the Inequality for x	x^2+4>0	$x^{2} + 4 > 0$
171992	Solve Using the Quadratic Formula	1+(x-1)/(x+1)=(x+1)/(x-1)	$1 + \frac{x - 1}{x + 1} = \frac{x + 1}{x - 1}$
171993	Solve Using the Quadratic Formula	2(x^2-1)+1=1	$2 (x^{2} - 1) + 1 = 1$
171994	Write in Standard Form	y=(x-0)^2-36	$y = {(x - 0)}^{2} - 36$
171995	Solve for v	\|v\|=6	$\| v \| = 6$
171996	Find the Holes in the Graph	f(x)=(2x+8)/(3x^2+16x+16)	$f (x) = \frac{2 x + 8}{3 x^{2} + 16 x + 16}$
171997	Solve for y	x/y=z	$\frac{x}{y} = z$
171998	Simplify	( square root of x+1)÷( square root of 3-x)	$\sqrt{x + 1} \div \sqrt{3 - x}$
171999	Evaluate	natural log of x=5	$\ln (x) = 5$
172000	Solve for v	-1+8v=2+8v	$- 1 + 8 v = 2 + 8 v$