Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224901	Evaluate	((4+2-11)+(13+9-20))-((-3+5-21)-(18-15+6))	$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$
224902	Graph	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
224903	Simplify	- square root of -49-5 square root of -9+3 cube root of -8	$- \sqrt{- 49} - 5 \sqrt{- 9} + 3 \sqrt[3]{- 8}$
224904	Write in Exponential Form	cube root of 5^3	$\sqrt[3]{5^{3}}$
224905	Simplify	square root of 32x+4 square root of 8x	$\sqrt{32 x} + 4 \sqrt{8 x}$
224906	Find the Roots (Zeros)	-x^2e^(-x)+2xe^(-x)	$- x^{2} e^{- x} + 2 x e^{- x}$
224907	Simplify	(3ab^2-2)(ab+2)	$(3 a b^{2} - 2) (a b + 2)$
224908	Simplify	1 square root of 1	$1 \sqrt{1}$
224909	Solve for x	xy+8=z+7	$x y + 8 = z + 7$
224910	Simplify	(a^-9b^12c^18d^0)^(2/3)	${(a^{- 9} b^{12} c^{18} d^{0})}^{\frac{2}{3}}$
224911	Evaluate	( log base 4 of x)/( log base 4 of 4)	$\frac{\log_{4} (x)}{\log_{4} (4)}$
224912	Solve the Rational Equation for x	square root of x+2 = square root of x+9	$\sqrt{x} + 2 = \sqrt{x + 9}$
224913	Find the Domain and Range	h(x) = fifth root of 2x	$h (x) = \sqrt[5]{2 x}$
224914	Find the Inverse	f(x)=1/2 square root of 2x+1	$f (x) = \frac{1}{2} \sqrt{2 x + 1}$
224915	Write in Standard Form	(3b-8)+(7b+4)	$(3 b - 8) + (7 b + 4)$
224916	Simplify	3/(x+5)+(2x)/(x^2+7x+10)	$\frac{3}{x + 5} + \frac{2 x}{x^{2} + 7 x + 10}$
224917	Simplify	((x^3)/3)÷((5x^2)/7)	$\frac{x^{3}}{3} \div \frac{5 x^{2}}{7}$
224918	Solve for x	(-5x+5)+1=-4(x+7)	$(- 5 x + 5) + 1 = - 4 (x + 7)$
224919	Combine Like Terms	2(4x-1)+x	$2 (4 x - 1) + x$
224920	Solve for x	(x^2)/(1-x)=1x*10^-8	$\frac{x^{2}}{1 - x} = 1 x \cdot 10^{- 8}$
224921	Solve for x	2^x+x=11	$2^{x} + x = 11$
224922	Divide Using Synthetic Division	(4d^4+3d^2-6d+1)/(2d+1)	$\frac{4 d^{4} + 3 d^{2} - 6 d + 1}{2 d + 1}$
224923	Find the Second Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
224924	Graph	y<-x 3 y>=2x-1	$y < - x$ $3$ $y \geq 2 x - 1$
224925	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+30x+16 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 30 x + 16$ is divided by $3 x + 2$
224926	Graph	f(x)=(2x-2)(x-3)(x+1)(x+4)^2	$f (x) = (2 x - 2) (x - 3) (x + 1) {(x + 4)}^{2}$
224927	Find the Parabola with Focus (6,0) and Directrix x=-3	(6,0) , x=-3	$(6, 0)$ , $x = - 3$
224928	Multiply	pi/3*2	$\frac{π}{3} \cdot 2$
224929	Simplify	(-2a^(2/3)b)^3(ab^(1/3))^3	${(- 2 a^{\frac{2}{3}} b)}^{3} {(a b^{\frac{1}{3}})}^{3}$
224930	Solve for x	49^(2x^2+3)=343^(x^2+5)	$49^{2 x^{2} + 3} = 343^{x^{2} + 5}$
224931	Write the Fraction in Simplest Form	((3a^5r^2)^-1)/(2a^-5r^-2)	$\frac{{(3 a^{5} r^{2})}^{- 1}}{2 a^{- 5} r^{- 2}}$
224932	Simplify	(3+2i)+(-5+i)-2	$(3 + 2 i) + (- 5 + i) - 2$
224933	Simplify	(x^-3x^5)/(3x^4)	$\frac{x^{- 3} x^{5}}{3 x^{4}}$
224934	Solve the Inequality for h	\|2h-3\|>=9	$\| 2 h - 3 \| \geq 9$
224935	Subtract	5/6-(-4/9)	$\frac{5}{6} - (- \frac{4}{9})$
224936	Graph	f(x)=(ax^n+bx+5)/(cx^m+dx^3-1)	$f (x) = \frac{a x^{n} + b x + 5}{c x^{m} + d x^{3} - 1}$
224937	Solve for x	3x-1/(2x-1)=4	$3 x - \frac{1}{2 x - 1} = 4$
224938	Simplify	5/(2x-6)-(x+2)/(x^2-4x+3)	$\frac{5}{2 x - 6} - \frac{x + 2}{x^{2} - 4 x + 3}$
224939	Simplify	(-6x^3y-9xy+18x^2y^2)/(3x^2y)	$\frac{- 6 x^{3} y - 9 x y + 18 x^{2} y^{2}}{3 x^{2} y}$
224940	Simplify	square root of 7+18 square root of 7-4 square root of 7-10 square root of 7	$\sqrt{7} + 18 \sqrt{7} - 4 \sqrt{7} - 10 \sqrt{7}$
224941	Simplify	-cos(x)^4+sin(x)^4	$- \cos^{4} (x) + \sin^{4} (x)$
224942	Simplify	cube root of 3x^3+x	$\sqrt[3]{3 x^{3} + x}$
224943	Find the Quadratic Equation Given the Roots	3 , 4+i	$3$ , $4 + i$
224944	Solve for x	x+50 = square root of 2A+300	$x + 50 = \sqrt{2 A + 300}$
224945	Solve the Inequality for x	5-4x-x^2>0	$5 - 4 x - x^{2} > 0$
224946	Solve the Inequality for x	5+2x>=1-(-x+5/2)	$5 + 2 x \geq 1 - (- x + \frac{5}{2})$
224947	Graph	x>=0 x+y<=0 x-y<=4	$x \geq 0$ $x + y \leq 0$ $x - y \leq 4$
224948	Simplify	(8x-6)/(7x-42)-x/(x-6)	$\frac{8 x - 6}{7 x - 42} - \frac{x}{x - 6}$
224949	Solve the Inequality for v	\|v+5\|-6<-5	$\| v + 5 \| - 6 < - 5$
224950	Determine if (0,1) is a Solution	y>x-1 , (0,1)	$y > x - 1$ , $(0, 1)$
224951	Simplify	(x+6)/(x-1)+(1-x)/(x+3)	$\frac{x + 6}{x - 1} + \frac{1 - x}{x + 3}$
224952	Solve for x	x(x+3)-6=x^2+5x-8	$x (x + 3) - 6 = x^{2} + 5 x - 8$
224953	Solve for x	3x^2+18x+13=-2	$3 x^{2} + 18 x + 13 = - 2$
224954	Graph	2x>=y+2 2x-5y<=10	$2 x \geq y + 2$ $2 x - 5 y \leq 10$
224955	Simplify	15-8(3x-7)+x	$15 - 8 (3 x - 7) + x$
224956	Simplify	9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2	$9 a^{3} b^{6} (3 a^{3} b^{2} + 7 a^{2} b^{2}) - {(5 a^{4} b^{4})}^{2}$
224957	Subtract	(8x-3y)-(2y-13+5x)	$(8 x - 3 y) - (2 y - 13 + 5 x)$
224958	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-4) and has a slope of -2/3 ?	What is the equation of the line that passes through the point $(6, - 4)$ and has a slope of $- \frac{2}{3}$ ?
224959	Simplify the Radical Expression	-3 square root of 45+2 square root of 12+3 square root of 6-3 square root of 20	$- 3 \sqrt{45} + 2 \sqrt{12} + 3 \sqrt{6} - 3 \sqrt{20}$
224960	Solve the System of Equations	y=-1+3/8x 2x-5y=6	$y = - 1 + \frac{3}{8} x$ $2 x - 5 y = 6$
224961	Solve for d	f=110+0.12d	$f = 110 + 0.12 d$
224962	Factor by Grouping	30mp^2+m^2p-6p	$30 m p^{2} + m^{2} p - 6 p$
224963	Simplify	x-1+2x+2+4x-1	$x - 1 + 2 x + 2 + 4 x - 1$
224964	Simplify	2 square root of 3-5 square root of 2+10 square root of 3+14 square root of 2-3 square root of 2	$2 \sqrt{3} - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} - 3 \sqrt{2}$
224965	Solve for j	0.1j-0.6=-0.1j	$0.1 j - 0.6 = - 0.1 j$
224966	Solve for x	(3x)^(1/3)=-3	${(3 x)}^{\frac{1}{3}} = - 3$
224967	Solve for d	(d-2)/(d-3)=1/(-m)	$\frac{d - 2}{d - 3} = \frac{1}{- m}$
224968	Evaluate	20% of 25	$20 %$ of $25$
224969	Divide Using Long Polynomial Division	(x^4+7x^2+10)÷(x^2+2)	$(x^{4} + 7 x^{2} + 10) \div (x^{2} + 2)$
224970	Simplify	(10x^4-16)+(12-6x^3+11x^4)	$(10 x^{4} - 16) + (12 - 6 x^{3} + 11 x^{4})$
224971	Solve the System of Equations	x-y=12 and x+7y=-20	$x - y = 12$ and $x + 7 y = - 20$
224972	Find the Exact Value	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
224973	Simplify	-9m^-2n^5*2m^-3n^-6 ?	$- 9 m^{- 2} n^{5} \times 2 m^{- 3} n^{- 6}$ ?
224974	Write Using Positive Exponents	(y^-5)/(y^-2)	$\frac{y^{- 5}}{y^{- 2}}$
224975	Find the Quotient	(8x^2+2x^3+3)÷(x^2+2x-1)	$(8 x^{2} + 2 x^{3} + 3) \div (x^{2} + 2 x - 1)$
224976	Solve the System of Equations	x+y=-4 y=-x+5	$x + y = - 4$ $y = - x + 5$
224977	Factor	(81x^4-16)	$(81 x^{4} - 16)$
224978	Graph	x-6y>5 7x+2y>=4	$x - 6 y > 5$ $7 x + 2 y \geq 4$
224979	Simplify	2x^2+x-3+x-1	$2 x^{2} + x - 3 + x - 1$
224980	Factor	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
224981	Simplify	(2 fourth root of x)^2	${(2 \sqrt[4]{x})}^{2}$
224982	Multiply	14/9*3/4	$\frac{14}{9} \cdot \frac{3}{4}$
224983	Simplify	((x+2)^3)/(x+2)	$\frac{{(x + 2)}^{3}}{(x + 2)}$
224984	Solve by Factoring	x^4=16x^2	$x^{4} = 16 x^{2}$
224985	Solve for x	-6x-12=(1/2)^x-4	$- 6 x - 12 = {(\frac{1}{2})}^{x} - 4$
224986	Solve for x	4^(x-1)=2*4^(x-4)	$4^{x - 1} = 2 \cdot 4^{x - 4}$
224987	Solve for x	-4 square root of x-6=-20	$- 4 \sqrt{x} - 6 = - 20$
224988	Solve the Inequality for x	y<=x+4	$y \leq x + 4$
224989	Solve the System of Equations	4x+2y=-14 and 7x-y=16	$4 x + 2 y = - 14$ and $7 x - y = 16$
224990	Simplify	(((x-4)^2)/(3x))÷((x^2-16)/(x+4))	$\frac{{(x - 4)}^{2}}{3 x} \div \frac{(x^{2} - 16)}{x + 4}$
224991	Simplify the Radical Expression	square root of 1/(h^-5*h^6)	$\sqrt{\frac{1}{h^{- 5} \cdot h^{6}}}$
224992	Convert to Interval Notation	x<3 and x>-2	$x < 3$ and $x > - 2$
224993	Solve for x	x^2+(1/2)^2=1^2	$x^{2} + {(\frac{1}{2})}^{2} = 1^{2}$
224994	Graph	f(x)=(2-x)^2	$f (x) = {(2 - x)}^{2}$
224995	Solve for t	(t-3)^(1/3)=2	${(t - 3)}^{\frac{1}{3}} = 2$
224996	Solve for x	5x-6=3x-6+2x	$5 x - 6 = 3 x - 6 + 2 x$
224997	Solve for x	3e^(x+1)-7=23	$3 e^{x + 1} - 7 = 23$
224998	Evaluate Using the Given Value	S=4LW+4wh+3(hL) ; for h	$S = 4 L W + 4 w h + 3 hL$ ; for $h$
224999	Simplify	(6z^4+3z^2-9)(3z^2-6)^-1	$(6 z^{4} + 3 z^{2} - 9) {(3 z^{2} - 6)}^{- 1}$
225000	Simplify	(14x^5y^3*3x^4y^9)/(6x^3y^4)	$\frac{14 x^{5} y^{3} \cdot 3 x^{4} y^{9}}{6 x^{3} y^{4}}$