Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172901	Solve for k	x^2-kx+81=0	$x^{2} - k x + 81 = 0$
172902	Determine if True	cot(theta)^2-cos(theta)^2=cot(theta)^2cos(theta)^2	$\cot^{2} (θ) - \cos^{2} (θ) = \cot^{2} (θ) \cos^{2} (θ)$
172903	Solve the System of Equations	y=x^2+7x-5 y=6x+7	$y = x^{2} + 7 x - 5$ $y = 6 x + 7$
172904	Solve for x	(3x-12)/(3x)=(4x^2-9)/(4x^2-16x+15)	$\frac{3 x - 12}{3 x} = \frac{4 x^{2} - 9}{4 x^{2} - 16 x + 15}$
172905	Solve for q	9.6q-5.4-2.6q=2(3.5q-2.7)	$9.6 q - 5.4 - 2.6 q = 2 (3.5 q - 2.7)$
172906	Simplify	f(x)=1/(x+1/(1-1/x))	$f (x) = \frac{1}{x + \frac{1}{1 - \frac{1}{x}}}$
172907	Solve for n	3(2n-2)-1=9/4	$3 (2 n - 2) - 1 = \frac{9}{4}$
172908	Evaluate	sin(theta)=-( square root of 2)/2	$\sin (θ) = - \frac{\sqrt{2}}{2}$
172909	Find the Exact Value	cos((4pi)/3)^2	$\cos^{2} (\frac{4 π}{3})$
172910	Find All Complex Solutions	theta=(5pi)/6	$θ = \frac{5 π}{6}$
172911	Multiply	x/2*2	$\frac{x}{2} \cdot 2$
172912	Solve the Inequality for x	9x^2-81<=0	$9 x^{2} - 81 \leq 0$
172913	Solve for x	x/9+8=8	$\frac{x}{9} + 8 = 8$
172914	Find the Inverse	f(x)=( square root of x)/5	$f (x) = \frac{\sqrt{x}}{5}$
172915	Solve for S	3.25+5.50S<=30	$3.25 + 5.5 S \leq 30$
172916	Evaluate	(-3/2)^2+2(-3/2)	${(- \frac{3}{2})}^{2} + 2 (- \frac{3}{2})$
172917	Evaluate	2 natural log of e^7+ natural log of e^4	$2 \ln (e^{7}) + \ln (e^{4})$
172918	Solve for x	e^(x^2)=(e^(-x))*e^2	$e^{x^{2}} = (e^{- x}) \cdot e^{2}$
172919	Graph	2y>=-8x	$2 y \geq - 8 x$
172920	Simplify	((3u^-1)^-1)/(15ub^5)	$\frac{{(3 u^{- 1})}^{- 1}}{15 u b^{5}}$
172921	Solve for m	E=1/2mv^2+mgh	$E = \frac{1}{2} m v^{2} + mg h$
172922	Simplify the Radical Expression	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
172923	Subtract	9a^2-6a+5 from 10a^2+3a+25	$9 a^{2} - 6 a + 5$ from $10 a^{2} + 3 a + 25$
172924	Write in Slope-Intercept Form	6x+2y<=-46	$6 x + 2 y \leq - 46$
172925	Graph	y=x^2+2,x<1; -x+2,x>=1	$y = {\begin{cases} x^{2} + 2, x < 1 \\ - x + 2, x \geq 1 \end{cases}$
172926	Simplify	( square root of 10)(-3 square root of -7)	$(\sqrt{10}) (- 3 \sqrt{- 7})$
172927	Find the Exact Value	( square root of 2)/( square root of 72+ square root of 50- square root of 8)	$\frac{\sqrt{2}}{\sqrt{72} + \sqrt{50} - \sqrt{8}}$
172928	Solve for x	4x-9+19=8x-14	$4 x - 9 + 19 = 8 x - 14$
172929	Simplify	(24x^2)/(5xy)	$\frac{24 x^{2}}{5 x y}$
172930	Graph	-8<-1/4m	$- 8 < - \frac{1}{4} m$
172931	Simplify	((x^2-100)/(x^2-36)*(9x)/(x+10))÷((5x-10)/(x^2-4x-60))	$\frac{x^{2} - 100}{x^{2} - 36} \cdot \frac{9 x}{x + 10} \div \frac{5 x - 10}{x^{2} - 4 x - 60}$
172932	Solve for x	4^(3x-1)=8^x	$4^{3 x - 1} = 8^{x}$
172933	Solve for x	72 = log of x	$72 = \log (x)$
172934	Graph Using a Table of Values	y=2^(x-1)	$y = 2^{x - 1}$
172935	Find the Roots (Zeros)	x^2(6x-11)(7x-8)=0	$x^{2} (6 x - 11) (7 x - 8) = 0$
172936	Simplify	square root of 1/(x^2)* square root of (x^2)/81	$\sqrt{\frac{1}{x^{2}}} \cdot \sqrt{\frac{x^{2}}{81}}$
172937	Simplify	((y^4-16)/(y+2))÷((y^2+4)/5)	$\frac{y^{4} - 16}{y + 2} \div \frac{y^{2} + 4}{5}$
172938	Factor	2x^3-5x^2+x+2	$2 x^{3} - 5 x^{2} + x + 2$
172939	Solve the Inequality for r	r/3+5<=8	$\frac{r}{3} + 5 \leq 8$
172940	Solve for x	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
172941	Solve for n	square root of 10-3n=7	$\sqrt{10 - 3 n} = 7$
172942	Graph	g(x)=-f(x)-3	$g (x) = - f (x) - 3$
172943	Simplify	(2+4i)+(-6-4i)	$(2 + 4 i) + (- 6 - 4 i)$
172944	Find the Midpoint	(2,4) and (6,8)	$(2, 4)$ and $(6, 8)$
172945	Graph	y<=-2x^2-2	$y \leq - 2 x^{2} - 2$
172946	Solve for y	4/9(y+3)=g	$\frac{4}{9} (y + 3) = g$
172947	Find All Complex Solutions	x+2 = square root of 3x+16	$x + 2 = \sqrt{3 x + 16}$
172948	Solve the Inequality for x	5x^2+3x>=3x^2+2	$5 x^{2} + 3 x \geq 3 x^{2} + 2$
172949	Graph Using a Table of Values	f(x)=x^2+4	$f (x) = x^{2} + 4$
172950	Simplify	x*2x^2	$x \cdot 2 x^{2}$
172951	Multiply	(y^2+3y+7)(8y^2+y+1)	$(y^{2} + 3 y + 7) (8 y^{2} + y + 1)$
172952	Simplify	-x+-x	$- x + - x$
172953	Solve for y	square root of y(y-15)-4=0	$\sqrt{y (y - 15)} - 4 = 0$
172954	Evaluate	7-1/2(7)^2	$7 - \frac{1}{2} {(7)}^{2}$
172955	Solve for l	P=2l+2w ; solve for l	$P = 2 l + 2 w$ ; solve for $l$
172956	Solve for a	5/6=5/6a+1/3	$\frac{5}{6} = \frac{5}{6} a + \frac{1}{3}$
172957	Solve the Inequality for x	-3(x+2)-3x<2x+18	$- 3 (x + 2) - 3 x < 2 x + 18$
172958	Graph	f(x)=1/2(x-2)^2+3	$f (x) = \frac{1}{2} {(x - 2)}^{2} + 3$
172959	Simplify	( square root of 4x^2)÷( square root of 3x)	$\sqrt{4 x^{2}} \div \sqrt{3 x}$
172960	Find the Exact Value	sin(pi/12)cos((7pi)/12)-cos(pi/12)sin((7pi)/12)	$\sin (\frac{π}{12}) \cos (\frac{7 π}{12}) - \cos (\frac{π}{12}) \sin (\frac{7 π}{12})$
172961	Solve the Inequality for z	12z-3>=2z-15	$12 z - 3 \geq 2 z - 15$
172962	Multiply	(2-6rs)(6rs+2)	$(2 - 6 r s) (6 r s + 2)$
172963	Solve for x	7y-5x=3-2xy	$7 y - 5 x = 3 - 2 x y$
172964	Find the Roots (Zeros)	(2x+1)(x+1)(x-1)=0	$(2 x + 1) (x + 1) (x - 1) = 0$
172965	Solve for t	36t-19t-12t-t=52	$36 t - 19 t - 12 t - t = 52$
172966	Simplify the Radical Expression	cube root of 6* cube root of 4	$\sqrt[3]{6} \cdot \sqrt[3]{4}$
172967	Solve for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
172968	Factor	ab^2c+a^2b^3c^2+a^3bc^3	$a b^{2} c + a^{2} b^{3} c^{2} + a^{3} b c^{3}$
172969	Graph	-1+r>=4	$- 1 + r \geq 4$
172970	Multiply	(3a-4b^3)(3a+4b^3)	$(3 a - 4 b^{3}) (3 a + 4 b^{3})$
172971	Simplify	1/(x+1)+(2x)/(x^2-1)-1/(x-1)	$\frac{1}{x + 1} + \frac{2 x}{x^{2} - 1} - \frac{1}{x - 1}$
172972	Solve the Absolute Value Inequality for x	\|x+5\|=3x-7	$\| x + 5 \| = 3 x - 7$
172973	Find f(g(x))	f(x)=4x+1 , g(x) = square root of x	$f (x) = 4 x + 1$ , $g (x) = \sqrt{x}$
172974	Find the Exact Value	(160*243)^(1/5)	${(160 \cdot 243)}^{\frac{1}{5}}$
172975	Solve for x	5/6(3/8-x)=16	$\frac{5}{6} (\frac{3}{8} - x) = 16$
172976	Find the Holes in the Graph	f(x)=(3x+18)/(x^2-2x-48)	$f (x) = \frac{3 x + 18}{x^{2} - 2 x - 48}$
172977	Solve for x	4(2x-5)-3(x-5)=0	$4 (2 x - 5) - 3 (x - 5) = 0$
172978	Multiply	(1+x)(1-x)	$(1 + x) (1 - x)$
172979	Evaluate	(y^2)^3	${(y^{2})}^{3}$
172980	Graph	y=-1/2\|x+3\|	$y = - \frac{1}{2} \| x + 3 \|$
172981	Solve for p	p^4+40=14p^2	$p^{4} + 40 = 14 p^{2}$
172982	Solve for x	3x=2x	$3 x = 2 x$
172983	Multiply	3 3/5*(-8 1/3)	$3 \frac{3}{5} \cdot (- 8 \frac{1}{3})$
172984	Solve for y	(y+1)/(y^2-y-6)+(y+2)/(y^2-9)=1/(y+2)	$\frac{y + 1}{y^{2} - y - 6} + \frac{y + 2}{y^{2} - 9} = \frac{1}{y + 2}$
172985	Solve for x	-4/(x-4)+2/(x+8)=1	$\frac{- 4}{x - 4} + \frac{2}{x + 8} = 1$
172986	Evaluate	48÷(4^2)+3/5	$48 \div 4^{2} + \frac{3}{5}$
172987	Find the Exact Value	square root of -8	$\sqrt{- 8}$
172988	Simplify	((x^2-x-6)/(2x^4-6x^3))÷((x+2)/(4x^3))	$\frac{x^{2} - x - 6}{2 x^{4} - 6 x^{3}} \div \frac{x + 2}{4 x^{3}}$
172989	Simplify	(x+3)/(x^2+4x-21)-(x+1)/(2x-6)	$\frac{x + 3}{x^{2} + 4 x - 21} - \frac{x + 1}{2 x - 6}$
172990	Evaluate	( fifth root of x)^(5/6)* square root of x	${(\sqrt[5]{x})}^{\frac{5}{6}} \cdot \sqrt{x}$
172991	Graph	y>=x^2-8	$y \geq x^{2} - 8$
172992	Evaluate	4^2--5^2	$4^{2} - - 5^{2}$
172993	Factor	x^2y+x	$x^{2} y + x$
172994	Simplify	(2x)/3+1/(3x^2)	$\frac{2 x}{3} + \frac{1}{3 x^{2}}$
172995	Solve for c	(a+bc)/d=e	$\frac{a + b c}{d} = e$
172996	Solve for t	5-2t=3t	$5 - 2 t = 3 t$
172997	Solve for x	-14=-(-2x+2)	$- 14 = - (- 2 x + 2)$
172998	Simplify	(y^(3/2)x^(-1/2))^4	${(y^{\frac{3}{2}} x^{- \frac{1}{2}})}^{4}$
172999	Solve for x	x+1/4x=15	$x + \frac{1}{4} x = 15$
173000	Solve the Inequality for x	1>=x/-5	$1 \geq \frac{x}{- 5}$