Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172901	Evaluate	(-3/2)^2+2(-3/2)	${(- \frac{3}{2})}^{2} + 2 (- \frac{3}{2})$
172902	Evaluate	2 natural log of e^7+ natural log of e^4	$2 \ln (e^{7}) + \ln (e^{4})$
172903	Solve for x	e^(x^2)=(e^(-x))*e^2	$e^{x^{2}} = (e^{- x}) \cdot e^{2}$
172904	Graph	2y>=-8x	$2 y \geq - 8 x$
172905	Simplify	((3u^-1)^-1)/(15ub^5)	$\frac{{(3 u^{- 1})}^{- 1}}{15 u b^{5}}$
172906	Solve for m	E=1/2mv^2+mgh	$E = \frac{1}{2} m v^{2} + mg h$
172907	Simplify the Radical Expression	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
172908	Subtract	9a^2-6a+5 from 10a^2+3a+25	$9 a^{2} - 6 a + 5$ from $10 a^{2} + 3 a + 25$
172909	Write in Slope-Intercept Form	6x+2y<=-46	$6 x + 2 y \leq - 46$
172910	Graph	y=x^2+2,x<1; -x+2,x>=1	$y = {\begin{cases} x^{2} + 2, x < 1 \\ - x + 2, x \geq 1 \end{cases}$
172911	Simplify	( square root of 10)(-3 square root of -7)	$(\sqrt{10}) (- 3 \sqrt{- 7})$
172912	Find the Exact Value	( square root of 2)/( square root of 72+ square root of 50- square root of 8)	$\frac{\sqrt{2}}{\sqrt{72} + \sqrt{50} - \sqrt{8}}$
172913	Solve for x	4x-9+19=8x-14	$4 x - 9 + 19 = 8 x - 14$
172914	Simplify	(24x^2)/(5xy)	$\frac{24 x^{2}}{5 x y}$
172915	Graph	-8<-1/4m	$- 8 < - \frac{1}{4} m$
172916	Simplify	((x^2-100)/(x^2-36)*(9x)/(x+10))÷((5x-10)/(x^2-4x-60))	$\frac{x^{2} - 100}{x^{2} - 36} \cdot \frac{9 x}{x + 10} \div \frac{5 x - 10}{x^{2} - 4 x - 60}$
172917	Solve for x	4^(3x-1)=8^x	$4^{3 x - 1} = 8^{x}$
172918	Solve for x	72 = log of x	$72 = \log (x)$
172919	Graph Using a Table of Values	y=2^(x-1)	$y = 2^{x - 1}$
172920	Find the Roots (Zeros)	x^2(6x-11)(7x-8)=0	$x^{2} (6 x - 11) (7 x - 8) = 0$
172921	Simplify	square root of 1/(x^2)* square root of (x^2)/81	$\sqrt{\frac{1}{x^{2}}} \cdot \sqrt{\frac{x^{2}}{81}}$
172922	Simplify	((y^4-16)/(y+2))÷((y^2+4)/5)	$\frac{y^{4} - 16}{y + 2} \div \frac{y^{2} + 4}{5}$
172923	Factor	2x^3-5x^2+x+2	$2 x^{3} - 5 x^{2} + x + 2$
172924	Solve the Inequality for r	r/3+5<=8	$\frac{r}{3} + 5 \leq 8$
172925	Solve for x	8+2(x-6)=-2+2x-2	$8 + 2 (x - 6) = - 2 + 2 x - 2$
172926	Solve for n	square root of 10-3n=7	$\sqrt{10 - 3 n} = 7$
172927	Graph	g(x)=-f(x)-3	$g (x) = - f (x) - 3$
172928	Simplify	(2+4i)+(-6-4i)	$(2 + 4 i) + (- 6 - 4 i)$
172929	Find the Midpoint	(2,4) and (6,8)	$(2, 4)$ and $(6, 8)$
172930	Graph	y<=-2x^2-2	$y \leq - 2 x^{2} - 2$
172931	Solve for y	4/9(y+3)=g	$\frac{4}{9} (y + 3) = g$
172932	Find All Complex Solutions	x+2 = square root of 3x+16	$x + 2 = \sqrt{3 x + 16}$
172933	Solve the Inequality for x	5x^2+3x>=3x^2+2	$5 x^{2} + 3 x \geq 3 x^{2} + 2$
172934	Graph Using a Table of Values	f(x)=x^2+4	$f (x) = x^{2} + 4$
172935	Simplify	x*2x^2	$x \cdot 2 x^{2}$
172936	Multiply	(y^2+3y+7)(8y^2+y+1)	$(y^{2} + 3 y + 7) (8 y^{2} + y + 1)$
172937	Simplify	-x+-x	$- x + - x$
172938	Solve for y	square root of y(y-15)-4=0	$\sqrt{y (y - 15)} - 4 = 0$
172939	Evaluate	7-1/2(7)^2	$7 - \frac{1}{2} {(7)}^{2}$
172940	Solve for l	P=2l+2w ; solve for l	$P = 2 l + 2 w$ ; solve for $l$
172941	Solve for a	5/6=5/6a+1/3	$\frac{5}{6} = \frac{5}{6} a + \frac{1}{3}$
172942	Solve the Inequality for x	-3(x+2)-3x<2x+18	$- 3 (x + 2) - 3 x < 2 x + 18$
172943	Graph	f(x)=1/2(x-2)^2+3	$f (x) = \frac{1}{2} {(x - 2)}^{2} + 3$
172944	Simplify	( square root of 4x^2)÷( square root of 3x)	$\sqrt{4 x^{2}} \div \sqrt{3 x}$
172945	Find the Exact Value	sin(pi/12)cos((7pi)/12)-cos(pi/12)sin((7pi)/12)	$\sin (\frac{π}{12}) \cos (\frac{7 π}{12}) - \cos (\frac{π}{12}) \sin (\frac{7 π}{12})$
172946	Solve the Inequality for z	12z-3>=2z-15	$12 z - 3 \geq 2 z - 15$
172947	Multiply	(2-6rs)(6rs+2)	$(2 - 6 r s) (6 r s + 2)$
172948	Solve for x	7y-5x=3-2xy	$7 y - 5 x = 3 - 2 x y$
172949	Find the Roots (Zeros)	(2x+1)(x+1)(x-1)=0	$(2 x + 1) (x + 1) (x - 1) = 0$
172950	Solve for t	36t-19t-12t-t=52	$36 t - 19 t - 12 t - t = 52$
172951	Simplify the Radical Expression	cube root of 6* cube root of 4	$\sqrt[3]{6} \cdot \sqrt[3]{4}$
172952	Solve for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
172953	Factor	ab^2c+a^2b^3c^2+a^3bc^3	$a b^{2} c + a^{2} b^{3} c^{2} + a^{3} b c^{3}$
172954	Graph	-1+r>=4	$- 1 + r \geq 4$
172955	Multiply	(3a-4b^3)(3a+4b^3)	$(3 a - 4 b^{3}) (3 a + 4 b^{3})$
172956	Simplify	1/(x+1)+(2x)/(x^2-1)-1/(x-1)	$\frac{1}{x + 1} + \frac{2 x}{x^{2} - 1} - \frac{1}{x - 1}$
172957	Solve the Absolute Value Inequality for x	\|x+5\|=3x-7	$\| x + 5 \| = 3 x - 7$
172958	Find f(g(x))	f(x)=4x+1 , g(x) = square root of x	$f (x) = 4 x + 1$ , $g (x) = \sqrt{x}$
172959	Find the Exact Value	(160*243)^(1/5)	${(160 \cdot 243)}^{\frac{1}{5}}$
172960	Solve for x	5/6(3/8-x)=16	$\frac{5}{6} (\frac{3}{8} - x) = 16$
172961	Find the Holes in the Graph	f(x)=(3x+18)/(x^2-2x-48)	$f (x) = \frac{3 x + 18}{x^{2} - 2 x - 48}$
172962	Solve for x	4(2x-5)-3(x-5)=0	$4 (2 x - 5) - 3 (x - 5) = 0$
172963	Multiply	(1+x)(1-x)	$(1 + x) (1 - x)$
172964	Evaluate	(y^2)^3	${(y^{2})}^{3}$
172965	Graph	y=-1/2\|x+3\|	$y = - \frac{1}{2} \| x + 3 \|$
172966	Solve for p	p^4+40=14p^2	$p^{4} + 40 = 14 p^{2}$
172967	Solve for x	3x=2x	$3 x = 2 x$
172968	Multiply	3 3/5*(-8 1/3)	$3 \frac{3}{5} \cdot (- 8 \frac{1}{3})$
172969	Solve for y	(y+1)/(y^2-y-6)+(y+2)/(y^2-9)=1/(y+2)	$\frac{y + 1}{y^{2} - y - 6} + \frac{y + 2}{y^{2} - 9} = \frac{1}{y + 2}$
172970	Solve for x	-4/(x-4)+2/(x+8)=1	$\frac{- 4}{x - 4} + \frac{2}{x + 8} = 1$
172971	Evaluate	48÷(4^2)+3/5	$48 \div 4^{2} + \frac{3}{5}$
172972	Find the Exact Value	square root of -8	$\sqrt{- 8}$
172973	Simplify	((x^2-x-6)/(2x^4-6x^3))÷((x+2)/(4x^3))	$\frac{x^{2} - x - 6}{2 x^{4} - 6 x^{3}} \div \frac{x + 2}{4 x^{3}}$
172974	Simplify	(x+3)/(x^2+4x-21)-(x+1)/(2x-6)	$\frac{x + 3}{x^{2} + 4 x - 21} - \frac{x + 1}{2 x - 6}$
172975	Evaluate	( fifth root of x)^(5/6)* square root of x	${(\sqrt[5]{x})}^{\frac{5}{6}} \cdot \sqrt{x}$
172976	Graph	y>=x^2-8	$y \geq x^{2} - 8$
172977	Evaluate	4^2--5^2	$4^{2} - - 5^{2}$
172978	Factor	x^2y+x	$x^{2} y + x$
172979	Simplify	(2x)/3+1/(3x^2)	$\frac{2 x}{3} + \frac{1}{3 x^{2}}$
172980	Solve for c	(a+bc)/d=e	$\frac{a + b c}{d} = e$
172981	Solve for t	5-2t=3t	$5 - 2 t = 3 t$
172982	Solve for x	-14=-(-2x+2)	$- 14 = - (- 2 x + 2)$
172983	Simplify	(y^(3/2)x^(-1/2))^4	${(y^{\frac{3}{2}} x^{- \frac{1}{2}})}^{4}$
172984	Solve for x	x+1/4x=15	$x + \frac{1}{4} x = 15$
172985	Solve the Inequality for x	1>=x/-5	$1 \geq \frac{x}{- 5}$
172986	Find the Roots (Zeros)	f(t)=t^2(3t^2-11t+8)	$f (t) = t^{2} (3 t^{2} - 11 t + 8)$
172987	Graph	y=x/(\|x\|)	$y = \frac{x}{\| x \|}$
172988	Graph	(-3,-pi/4)	$(- 3, - \frac{π}{4})$
172989	Solve for p	13+3p+10=23+3p	$13 + 3 p + 10 = 23 + 3 p$
172990	Factor	10xy+0.25x^2+100y^2	$10 x y + 0.25 x^{2} + 100 y^{2}$
172991	Solve for x	5(2x-6)=22+3+5x	$5 (2 x - 6) = 22 + 3 + 5 x$
172992	Simplify	(5 square root of 7)/( square root of 35)	$\frac{5 \sqrt{7}}{\sqrt{35}}$
172993	Evaluate	1/( square root of e)	$\frac{1}{\sqrt{e}}$
172994	Solve for c	(3c)/8=(c+4)/4	$\frac{3 c}{8} = \frac{c + 4}{4}$
172995	Solve for x	11/4-5/(x+3)=23/12	$\frac{11}{4} - \frac{5}{x + 3} = \frac{23}{12}$
172996	Graph Using a Table of Values	f(x)=(2x+6)/(x+4)	$f (x) = \frac{2 x + 6}{x + 4}$
172997	Find the Domain and Range	y = cube root of 1-x^2	$y = \sqrt[3]{1 - x^{2}}$
172998	Solve for k	4k-6=-2k-16-2	$4 k - 6 = - 2 k - 16 - 2$
172999	Convert to Interval Notation	{x\|5<=x<7}	${x \| 5 \leq x < 7}$
173000	Multiply	-1/4*1	$- \frac{1}{4} \cdot 1$