Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224901	Simplify	Simplify ( square root of 21+3)( square root of 21+8)	Simplify $(\sqrt{21} + 3) (\sqrt{21} + 8)$
224902	Evaluate	(x^5y^4)/(x^-5y^4)	$\frac{x^{5} y^{4}}{x^{- 5} y^{4}}$
224903	Simplify	5x(X+4)	$5 x (X + 4)$
224904	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3-11x^2-18x+16 is divided by 3x-2	Use the long division method to find the result when $3 x^{3} - 11 x^{2} - 18 x + 16$ is divided by $3 x - 2$
224905	Solve for y	y=-1/2(2)	$y = - \frac{1}{2} (2)$
224906	Evaluate	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
224907	Graph	(3,-255 degrees )	$(3, - 255 °)$
224908	Solve for x	square root of 25-10x+x^2=x-5	$\sqrt{25 - 10 x + x^{2}} = x - 5$
224909	Expand Using the Binomial Theorem	(x+1/(x^2))^6	${(x + \frac{1}{x^{2}})}^{6}$
224910	Solve for a	2/3a+6b=c	$\frac{2}{3} a + 6 b = c$
224911	Find the Roots (Zeros)	3x^2+36=-24x	$3 x^{2} + 36 = - 24 x$
224912	Simplify	( cube root of 8x^5)/( square root of x)	$\frac{\sqrt[3]{8 x^{5}}}{\sqrt{x}}$
224913	Simplify	(5)^0(y)^0	${(5)}^{0} {(y)}^{0}$
224914	Graph	x^2+y^2<=25 y>-\|x\|+2	$x^{2} + y^{2} \leq 25$ $y > - \| x \| + 2$
224915	Solve for x	(x^2+3x+19)(x^2+2)=0	$(x^{2} + 3 x + 19) (x^{2} + 2) = 0$
224916	Evaluate	((4+2-11)+(13+9-20))-((-3+5-21)-(18-15+6))	$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$
224917	Graph	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
224918	Simplify	- square root of -49-5 square root of -9+3 cube root of -8	$- \sqrt{- 49} - 5 \sqrt{- 9} + 3 \sqrt[3]{- 8}$
224919	Write in Exponential Form	cube root of 5^3	$\sqrt[3]{5^{3}}$
224920	Simplify	square root of 32x+4 square root of 8x	$\sqrt{32 x} + 4 \sqrt{8 x}$
224921	Find the Roots (Zeros)	-x^2e^(-x)+2xe^(-x)	$- x^{2} e^{- x} + 2 x e^{- x}$
224922	Simplify	(3ab^2-2)(ab+2)	$(3 a b^{2} - 2) (a b + 2)$
224923	Simplify	1 square root of 1	$1 \sqrt{1}$
224924	Solve for x	xy+8=z+7	$x y + 8 = z + 7$
224925	Simplify	(a^-9b^12c^18d^0)^(2/3)	${(a^{- 9} b^{12} c^{18} d^{0})}^{\frac{2}{3}}$
224926	Evaluate	( log base 4 of x)/( log base 4 of 4)	$\frac{\log_{4} (x)}{\log_{4} (4)}$
224927	Solve the Rational Equation for x	square root of x+2 = square root of x+9	$\sqrt{x} + 2 = \sqrt{x + 9}$
224928	Find the Domain and Range	h(x) = fifth root of 2x	$h (x) = \sqrt[5]{2 x}$
224929	Find the Inverse	f(x)=1/2 square root of 2x+1	$f (x) = \frac{1}{2} \sqrt{2 x + 1}$
224930	Write in Standard Form	(3b-8)+(7b+4)	$(3 b - 8) + (7 b + 4)$
224931	Simplify	3/(x+5)+(2x)/(x^2+7x+10)	$\frac{3}{x + 5} + \frac{2 x}{x^{2} + 7 x + 10}$
224932	Simplify	((x^3)/3)÷((5x^2)/7)	$\frac{x^{3}}{3} \div \frac{5 x^{2}}{7}$
224933	Solve for x	(-5x+5)+1=-4(x+7)	$(- 5 x + 5) + 1 = - 4 (x + 7)$
224934	Combine Like Terms	2(4x-1)+x	$2 (4 x - 1) + x$
224935	Solve for x	(x^2)/(1-x)=1x*10^-8	$\frac{x^{2}}{1 - x} = 1 x \cdot 10^{- 8}$
224936	Solve for x	2^x+x=11	$2^{x} + x = 11$
224937	Divide Using Synthetic Division	(4d^4+3d^2-6d+1)/(2d+1)	$\frac{4 d^{4} + 3 d^{2} - 6 d + 1}{2 d + 1}$
224938	Find the Second Term	a_n=21-2n^2	$a_{n} = 21 - 2 n^{2}$
224939	Graph	y<-x 3 y>=2x-1	$y < - x$ $3$ $y \geq 2 x - 1$
224940	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 $3 x + 2$
224941	Graph	f(x)=(2x-2)(x-3)(x+1)(x+4)^2	$f (x) = (2 x - 2) (x - 3) (x + 1) {(x + 4)}^{2}$
224942	Find the Parabola with Focus (6,0) and Directrix x=-3	(6,0) , x=-3	$(6, 0)$ , $x = - 3$
224943	Multiply	pi/3*2	$\frac{π}{3} \cdot 2$
224944	Simplify	(-2a^(2/3)b)^3(ab^(1/3))^3	${(- 2 a^{\frac{2}{3}} b)}^{3} {(a b^{\frac{1}{3}})}^{3}$
224945	Solve for x	49^(2x^2+3)=343^(x^2+5)	$49^{2 x^{2} + 3} = 343^{x^{2} + 5}$
224946	Write the Fraction in Simplest Form	((3a^5r^2)^-1)/(2a^-5r^-2)	$\frac{{(3 a^{5} r^{2})}^{- 1}}{2 a^{- 5} r^{- 2}}$
224947	Simplify	(3+2i)+(-5+i)-2	$(3 + 2 i) + (- 5 + i) - 2$
224948	Simplify	(x^-3x^5)/(3x^4)	$\frac{x^{- 3} x^{5}}{3 x^{4}}$
224949	Solve the Inequality for h	\|2h-3\|>=9	$\| 2 h - 3 \| \geq 9$
224950	Subtract	5/6-(-4/9)	$\frac{5}{6} - (- \frac{4}{9})$
224951	Graph	f(x)=(ax^n+bx+5)/(cx^m+dx^3-1)	$f (x) = \frac{a x^{n} + b x + 5}{c x^{m} + d x^{3} - 1}$
224952	Solve for x	3x-1/(2x-1)=4	$3 x - \frac{1}{2 x - 1} = 4$
224953	Simplify	5/(2x-6)-(x+2)/(x^2-4x+3)	$\frac{5}{2 x - 6} - \frac{x + 2}{x^{2} - 4 x + 3}$
224954	Simplify	(-6x^3y-9xy+18x^2y^2)/(3x^2y)	$\frac{- 6 x^{3} y - 9 x y + 18 x^{2} y^{2}}{3 x^{2} y}$
224955	Simplify	square root of 7+18 square root of 7-4 square root of 7-10 square root of 7	$\sqrt{7} + 18 \sqrt{7} - 4 \sqrt{7} - 10 \sqrt{7}$
224956	Simplify	-cos(x)^4+sin(x)^4	$- \cos^{4} (x) + \sin^{4} (x)$
224957	Simplify	cube root of 3x^3+x	$\sqrt[3]{3 x^{3} + x}$
224958	Find the Quadratic Equation Given the Roots	3 , 4+i	$3$ , $4 + i$
224959	Solve for x	x+50 = square root of 2A+300	$x + 50 = \sqrt{2 A + 300}$
224960	Solve the Inequality for x	5-4x-x^2>0	$5 - 4 x - x^{2} > 0$
224961	Solve the Inequality for x	5+2x>=1-(-x+5/2)	$5 + 2 x \geq 1 - (- x + \frac{5}{2})$
224962	Graph	x>=0 x+y<=0 x-y<=4	$x \geq 0$ $x + y \leq 0$ $x - y \leq 4$
224963	Simplify	(8x-6)/(7x-42)-x/(x-6)	$\frac{8 x - 6}{7 x - 42} - \frac{x}{x - 6}$
224964	Solve the Inequality for v	\|v+5\|-6<-5	$\| v + 5 \| - 6 < - 5$
224965	Determine if (0,1) is a Solution	y>x-1 , (0,1)	$y > x - 1$ , $(0, 1)$
224966	Simplify	(x+6)/(x-1)+(1-x)/(x+3)	$\frac{x + 6}{x - 1} + \frac{1 - x}{x + 3}$
224967	Solve for x	x(x+3)-6=x^2+5x-8	$x (x + 3) - 6 = x^{2} + 5 x - 8$
224968	Solve for x	3x^2+18x+13=-2	$3 x^{2} + 18 x + 13 = - 2$
224969	Graph	2x>=y+2 2x-5y<=10	$2 x \geq y + 2$ $2 x - 5 y \leq 10$
224970	Simplify	15-8(3x-7)+x	$15 - 8 (3 x - 7) + x$
224971	Simplify	9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2	$9 a^{3} b^{6} (3 a^{3} b^{2} + 7 a^{2} b^{2}) - {(5 a^{4} b^{4})}^{2}$
224972	Subtract	(8x-3y)-(2y-13+5x)	$(8 x - 3 y) - (2 y - 13 + 5 x)$
224973	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 $- \frac{2}{3}$ ?
224974	Simplify the Radical Expression	-3 square root of 45+2 square root of 12+3 square root of 6-3 square root of 20	$- 3 \sqrt{45} + 2 \sqrt{12} + 3 \sqrt{6} - 3 \sqrt{20}$
224975	Solve the System of Equations	y=-1+3/8x 2x-5y=6	$y = - 1 + \frac{3}{8} x$ $2 x - 5 y = 6$
224976	Solve for d	f=110+0.12d	$f = 110 + 0.12 d$
224977	Factor by Grouping	30mp^2+m^2p-6p	$30 m p^{2} + m^{2} p - 6 p$
224978	Simplify	x-1+2x+2+4x-1	$x - 1 + 2 x + 2 + 4 x - 1$
224979	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	$2 \sqrt{3} - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} - 3 \sqrt{2}$
224980	Solve for j	0.1j-0.6=-0.1j	$0.1 j - 0.6 = - 0.1 j$
224981	Solve for x	(3x)^(1/3)=-3	${(3 x)}^{\frac{1}{3}} = - 3$
224982	Solve for d	(d-2)/(d-3)=1/(-m)	$\frac{d - 2}{d - 3} = \frac{1}{- m}$
224983	Evaluate	20% of 25	$20 %$ of $25$
224984	Divide Using Long Polynomial Division	(x^4+7x^2+10)÷(x^2+2)	$(x^{4} + 7 x^{2} + 10) \div (x^{2} + 2)$
224985	Simplify	(10x^4-16)+(12-6x^3+11x^4)	$(10 x^{4} - 16) + (12 - 6 x^{3} + 11 x^{4})$
224986	Solve the System of Equations	x-y=12 and x+7y=-20	$x - y = 12$ and $x + 7 y = - 20$
224987	Find the Exact Value	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
224988	Simplify	-9m^-2n^5*2m^-3n^-6 ?	$- 9 m^{- 2} n^{5} \times 2 m^{- 3} n^{- 6}$ ?
224989	Write Using Positive Exponents	(y^-5)/(y^-2)	$\frac{y^{- 5}}{y^{- 2}}$
224990	Find the Quotient	(8x^2+2x^3+3)÷(x^2+2x-1)	$(8 x^{2} + 2 x^{3} + 3) \div (x^{2} + 2 x - 1)$
224991	Solve the System of Equations	x+y=-4 y=-x+5	$x + y = - 4$ $y = - x + 5$
224992	Factor	(81x^4-16)	$(81 x^{4} - 16)$
224993	Graph	x-6y>5 7x+2y>=4	$x - 6 y > 5$ $7 x + 2 y \geq 4$
224994	Simplify	2x^2+x-3+x-1	$2 x^{2} + x - 3 + x - 1$
224995	Factor	x^4-5x^2+6=0	$x^{4} - 5 x^{2} + 6 = 0$
224996	Simplify	(2 fourth root of x)^2	${(2 \sqrt[4]{x})}^{2}$
224997	Multiply	14/9*3/4	$\frac{14}{9} \cdot \frac{3}{4}$
224998	Simplify	((x+2)^3)/(x+2)	$\frac{{(x + 2)}^{3}}{(x + 2)}$
224999	Solve by Factoring	x^4=16x^2	$x^{4} = 16 x^{2}$
225000	Solve for x	-6x-12=(1/2)^x-4	$- 6 x - 12 = {(\frac{1}{2})}^{x} - 4$