Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178901	Evaluate	(x^2+4)^2+4	${(x^{2} + 4)}^{2} + 4$
178902	Evaluate	(1-x^2)^2	${(1 - x^{2})}^{2}$
178903	Solve the Inequality for x	-10x<=40	$- 10 x \leq 40$
178904	Factor	x^4-2x^3-9x^2+18x	$x^{4} - 2 x^{3} - 9 x^{2} + 18 x$
178905	Graph	x+y=5 x-y=-1	$x + y = 5$ $x - y = - 1$
178906	Evaluate	1/(cos(x)^2)	$\frac{1}{\cos^{2} (x)}$
178907	Find the Excluded Values	(2x+12)/(2x^2+14x+12)	$\frac{2 x + 12}{2 x^{2} + 14 x + 12}$
178908	Graph	y=-x+2,x>1; x+1,x<=1	$y = {\begin{cases} - x + 2, x > 1 \\ x + 1, x \leq 1 \end{cases}$
178909	Divide	(10x^2y^2-8xy^3+6y)/(2y^2)	$\frac{10 x^{2} y^{2} - 8 x y^{3} + 6 y}{2 y^{2}}$
178910	Find the Midpoint	(5,5) and (10,1)	$(5, 5)$ and $(10, 1)$
178911	Solve for θ	sin(theta)^2=1/2	$\sin^{2} (θ) = \frac{1}{2}$
178912	Solve the Inequality for x	x+4>9	$x + 4 > 9$
178913	Evaluate	x^2*x^-12	$x^{2} \cdot x^{- 12}$
178914	Write in Standard Form	(x^2-4x+3)+(3x^2-3x-5)	$(x^{2} - 4 x + 3) + (3 x^{2} - 3 x - 5)$
178915	Evaluate	9+(6-6)*4-(-7-(-2))	$9 + (6 - 6) \cdot 4 - (- 7 - (- 2))$
178916	Evaluate	12(5+5)^2-17+3	$12 {(5 + 5)}^{2} - 17 + 3$
178917	Simplify	2x+x+x+2y3yy	$2 x + x + x + 2 y \cdot 3 y \cdot y$
178918	Solve for x	2+6(x-4)=3x-18+3x	$2 + 6 (x - 4) = 3 x - 18 + 3 x$
178919	Solve the Absolute Value Inequality for x	\|2x-6\|<4	$\| 2 x - 6 \| < 4$
178920	Solve for g	g-10+7g=15+3g	$g - 10 + 7 g = 15 + 3 g$
178921	Solve the Inequality for x	4x+2<3x-4	$4 x + 2 < 3 x - 4$
178922	Find the Function	f(x)=3x^2-1	$f (x) = 3 x^{2} - 1$
178923	Evaluate	-6n+(-12)+4n	$- 6 n + (- 12) + 4 n$
178924	Solve for a	A=((a+b)/2)h	$A = (\frac{a + b}{2}) h$
178925	Simplify	((-4x-12)/(x-7))÷((x^2-12x+36)/(2x-14))	$\frac{- 4 x - 12}{x - 7} \div \frac{x^{2} - 12 x + 36}{2 x - 14}$
178926	Solve for x	10/x=x/10	$\frac{10}{x} = \frac{x}{10}$
178927	Graph	f(x)=3/2*(4/3)^x-1	$f (x) = \frac{3}{2} \cdot {(\frac{4}{3})}^{x} - 1$
178928	Solve for x	3-4/x=5/(4x)	$3 - \frac{4}{x} = \frac{5}{4 x}$
178929	Solve for x	\|20+2x\|=\|4x+4\|	$\| 20 + 2 x \| = \| 4 x + 4 \|$
178930	Simplify the Radical Expression	fourth root of 16x^8	$\sqrt[4]{16 x^{8}}$
178931	Find the Exact Value	sec(585 degrees )	$\sec (585 °)$
178932	Solve for x	x^(7/3)-2x^(7/6)+1=0	$x^{\frac{7}{3}} - 2 x^{\frac{7}{6}} + 1 = 0$
178933	Simplify	5y square root of 4x^4y^6	$5 y \sqrt{4 x^{4} y^{6}}$
178934	Evaluate	-4(3/4e+2)=7+1/2e-8	$- 4 (\frac{3}{4} e + 2) = 7 + \frac{1}{2} e - 8$
178935	Solve for x	(3x+1)/7-(2-4x)/3=(-5x-4)/14+(7x)/6	$\frac{3 x + 1}{7} - \frac{2 - 4 x}{3} = \frac{- 5 x - 4}{14} + \frac{7 x}{6}$
178936	Find the Exact Value	log base 5 of 1/5	$\log_{5} (\frac{1}{5})$
178937	Simplify	5/(x^2-5x)-x/(5x-25)	$\frac{5}{x^{2} - 5 x} - \frac{x}{5 x - 25}$
178938	Solve for x	\|x-1\|=5x+2	$\| x - 1 \| = 5 x + 2$
178939	Subtract	(2x)/(x^2-9)-3/(x-3)	$\frac{2 x}{x^{2} - 9} - \frac{3}{x - 3}$
178940	Find the Midpoint	(-1,-5) and (8,-2)	$(- 1, - 5)$ and $(8, - 2)$
178941	Solve for x	x-(x+3)/(x+10)=7/(x+10)	$x - \frac{x + 3}{x + 10} = \frac{7}{x + 10}$
178942	Factor	P(x)=x^3-2x^2-x+2	$P (x) = x^{3} - 2 x^{2} - x + 2$
178943	Solve for x	x = square root of 6x-5	$x = \sqrt{6 x - 5}$
178944	Simplify	(6x-7)/(x^2+6x+5)+4/(x+5)	$\frac{6 x - 7}{x^{2} + 6 x + 5} + \frac{4}{x + 5}$
178945	Solve the Absolute Value Inequality for x	\|6+9x\|<=24	$\| 6 + 9 x \| \leq 24$
178946	Find the Holes in the Graph	f(x)=(x^2-10x)/(x^2-1)	$f (x) = \frac{x^{2} - 10 x}{x^{2} - 1}$
178947	Simplify	square root of -18*3 square root of -8	$\sqrt{- 18} \cdot 3 \sqrt{- 8}$
178948	Solve for x	(2x)/(2x-1)+1/x=1/(2x-1)	$\frac{2 x}{2 x - 1} + \frac{1}{x} = \frac{1}{2 x - 1}$
178949	Find the First Term	a_n=(-3)^n	$a_{n} = {(- 3)}^{n}$
178950	Graph	g(x)=-x if x<-5; 3 if x>-5	$g (x) = {\begin{cases} - x & x < - 5 \\ 3 & x > - 5 \end{cases}$
178951	Solve for t	3(8-3t)=5(2+t)	$3 (8 - 3 t) = 5 (2 + t)$
178952	Simplify	(2x^2)/(3x+1)-(6x^2)/(3x+1)+(7x^2)/(3x+1)	$\frac{2 x^{2}}{3 x + 1} - \frac{6 x^{2}}{3 x + 1} + \frac{7 x^{2}}{3 x + 1}$
178953	Write in Standard Form	-2x^2=3x-19	$- 2 x^{2} = 3 x - 19$
178954	Find the Function	f(x)=-x	$f (x) = - x$
178955	Find the Roots (Zeros)	12x^2=4x-1	$12 x^{2} = 4 x - 1$
178956	Solve for x	x-5=3x+2	$x - 5 = 3 x + 2$
178957	Simplify	-3 square root of 20*7 square root of 8	$- 3 \sqrt{20} \cdot 7 \sqrt{8}$
178958	Solve for x	w=v/x	$w = \frac{v}{x}$
178959	Solve for b	((x^5yz^4)^3)/(x^3yz)=x^ay^bz^c	$\frac{{(x^{5} y z^{4})}^{3}}{x^{3} y z} = x^{a} y^{b} z^{c}$
178960	Factor	x^4-10x^2+9=0	$x^{4} - 10 x^{2} + 9 = 0$
178961	Simplify	(1/2)^(1/2)	${(\frac{1}{2})}^{\frac{1}{2}}$
178962	Expand the Logarithmic Expression	log base 3 of ( square root of 3x+2y^2)/(5z^2)	$\log_{3} (\frac{\sqrt{3 x + 2 y^{2}}}{5 z^{2}})$
178963	Write in Standard Form	-x^2-2-x=-4-2x^2+5x	$- x^{2} - 2 - x = - 4 - 2 x^{2} + 5 x$
178964	Graph	y<=-3x-7 y>=3/4x+8	$y \leq - 3 x - 7$ $y \geq \frac{3}{4} x + 8$
178965	Simplify the Radical Expression	( square root of 252)/3	$\frac{\sqrt{252}}{3}$
178966	Subtract	-1/4-1/2	$- \frac{1}{4} - \frac{1}{2}$
178967	Simplify	(2m-5)(2m-3)-(m^2+5m)	$(2 m - 5) (2 m - 3) - (m^{2} + 5 m)$
178968	Solve Using the Quadratic Formula	f(x)=2x^2-4x+7	$f (x) = 2 x^{2} - 4 x + 7$
178969	Solve for y	y = square root of 6-5	$y = \sqrt{6 - 5}$
178970	Solve for x	28=6(3)^(x-5)	$28 = 6 {(3)}^{x - 5}$
178971	Solve the Inequality for x	x(x-12)(15-x)<=0	$x (x - 12) (15 - x) \leq 0$
178972	Find the Domain and Range	f(x)=(2x^2-3)/5	$f (x) = \frac{2 x^{2} - 3}{5}$
178973	Factor	x^2+xy+ax+ay	$x^{2} + x y + a x + a y$
178974	Solve the Inequality for x	x^2-4x+9<=0	$x^{2} - 4 x + 9 \leq 0$
178975	Convert to Interval Notation	0<=f(x)	$0 \leq f (x)$
178976	Evaluate	(-3^4)	$(- 3^{4})$
178977	Simplify	((x-1)/2-1/x)/((x^2)/4-x/2)	$\frac{\frac{x - 1}{2} - \frac{1}{x}}{\frac{x^{2}}{4} - \frac{x}{2}}$
178978	Convert to a Decimal	1*10^-5	$1 \cdot 10^{- 5}$
178979	Simplify	5x^2 square root of 9x^6y^7	$5 x^{2} \sqrt{9 x^{6} y^{7}}$
178980	Evaluate	-5+(7*9)	$- 5 + (7 \cdot 9)$
178981	Solve for x	-3/5x-7/10x+1/2x=-56	$- \frac{3}{5} x - \frac{7}{10} x + \frac{1}{2} x = - 56$
178982	Solve for x	1/(5^x)=5^8	$\frac{1}{5^{x}} = 5^{8}$
178983	Graph	x+y>-2 and y<-1	$x + y > - 2$ and $y < - 1$
178984	Solve for m	12(m+3x)=18(x-3m)	$12 (m + 3 x) = 18 (x - 3 m)$
178985	Write in Standard Form	(3x-10)(x^2+2x-1)	$(3 x - 10) (x^{2} + 2 x - 1)$
178986	Evaluate	arcsin(-1/( square root of 2))	$\arcsin (- \frac{1}{\sqrt{2}})$
178987	Simplify	(16x)/(4x^2y)	$\frac{16 x}{4 x^{2} y}$
178988	Solve for x	square root of x+1 = square root of x+10	$\sqrt{x} + 1 = \sqrt{x + 10}$
178989	Divide	16 1/2÷2 1/4	$16 \frac{1}{2} \div 2 \frac{1}{4}$
178990	Simplify	x^3+1/(x^3)	$x^{3} + \frac{1}{x^{3}}$
178991	Graph	y>=x+2 y>=3-x	$y \geq x + 2$ $y \geq 3 - x$
178992	Simplify	(tan(x)+1)^2	${(\tan (x) + 1)}^{2}$
178993	Solve the Inequality for x	-6x+70>-2	$- 6 x + 70 > - 2$
178994	Solve for x	(x+5)/(x+8)=1+6/(x+1)	$\frac{x + 5}{x + 8} = 1 + \frac{6}{x + 1}$
178995	Solve the System of Equations	x^2-y=7 y-5x=-11	$x^{2} - y = 7$ $y - 5 x = - 11$
178996	Find the x and y Intercepts	f(x)=-(x+1)(x-1)(x-3)	$f (x) = - (x + 1) (x - 1) (x - 3)$
178997	Find the x and y Intercepts	f(x)=(x-5)(x-4)(4x+4)	$f (x) = (x - 5) (x - 4) (4 x + 4)$
178998	Solve for x	(x+3)/(x-3)-(x-3)/(x+3)=1	$\frac{x + 3}{x - 3} - \frac{x - 3}{x + 3} = 1$
178999	Graph	f(x)=(x^2-x-12)/(-3x-6)	$f (x) = \frac{x^{2} - x - 12}{- 3 x - 6}$
179000	Simplify the Radical Expression	square root of 60	$\sqrt{60}$