Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188901	Simplify	(x^2-2x-8)/(x^2+7x+12)*(x^2+x-6)/(x^2-4)	$\frac{x^{2} - 2 x - 8}{x^{2} + 7 x + 12} \cdot \frac{x^{2} + x - 6}{x^{2} - 4}$
188902	Solve the Inequality for x	8+2x<=6x-20	$8 + 2 x \leq 6 x - 20$
188903	Find All Complex Solutions	2sin(x)^2-5sin(x)+2=0	$2 \sin^{2} (x) - 5 \sin (x) + 2 = 0$
188904	Find the Product	(3x^2+x-2)(-4x^2-2x-1)	$(3 x^{2} + x - 2) (- 4 x^{2} - 2 x - 1)$
188905	Find the x and y Intercepts	f(x)=(x^2-7x-30)/(3x-21)	$f (x) = \frac{x^{2} - 7 x - 30}{3 x - 21}$
188906	Solve for x	-3x=x-(6-2x)	$- 3 x = x - (6 - 2 x)$
188907	Simplify	(m^5n^3)^7*m^2n	${(m^{5} n^{3})}^{7} \cdot m^{2} n$
188908	Solve for x	(1/7)^x=7^(x+4)	${(\frac{1}{7})}^{x} = 7^{x + 4}$
188909	Find the Roots (Zeros)	x^4+x^3-6x^2	$x^{4} + x^{3} - 6 x^{2}$
188910	Determine if Parallel	y=-4x-1 8x+2y=14	$y = - 4 x - 1$ $8 x + 2 y = 14$
188911	Multiply	3/4*-1	$\frac{3}{4} \cdot - 1$
188912	Graph	\|x-2\|<=1	$\| x - 2 \| \leq 1$
188913	Simplify	(-4r^3s^5)^0(3b^4c^2d)	${(- 4 r^{3} s^{5})}^{0} (3 b^{4} c^{2} d)$
188914	Simplify	((x^3y^2)^(3/2))/((x^-1y^(-2/3))^(1/4))	$\frac{{(x^{3} y^{2})}^{\frac{3}{2}}}{{(x^{- 1} y^{- \frac{2}{3}})}^{\frac{1}{4}}}$
188915	Find the Foci	9x^2+25y^2-225=0	$9 x^{2} + 25 y^{2} - 225 = 0$
188916	Write in Standard Form	(5x-3x^2)-(5x-2)*(10x+7x^2)	$(5 x - 3 x^{2}) - (5 x - 2) \cdot (10 x + 7 x^{2})$
188917	Simplify	((2x+2)/(4x-8))((3x-6)/(2x+2))	$(\frac{2 x + 2}{4 x - 8}) (\frac{3 x - 6}{2 x + 2})$
188918	Solve for x	4^(5x-2)>4^(3x)	$4^{5 x - 2} > 4^{3 x}$
188919	Simplify	((n-1)(n-5))/(2(n+3))*(2(n+3))/(n-5)	$\frac{(n - 1) (n - 5)}{2 (n + 3)} \cdot \frac{2 (n + 3)}{n - 5}$
188920	Solve for c	a=bcd	$a = b c d$
188921	Solve for x	-5(3-4x)=-6+20x-9	$- 5 (3 - 4 x) = - 6 + 20 x - 9$
188922	Simplify	square root of -24* square root of -8	$\sqrt{- 24} \cdot \sqrt{- 8}$
188923	Solve the Rational Equation for x	(5x^2+2x+5)/(x+2)=5x+1	$\frac{5 x^{2} + 2 x + 5}{x + 2} = 5 x + 1$
188924	Subtract	(5x^4+13x^2-x+10)-(-6x^4+9x^3+7)	$(5 x^{4} + 13 x^{2} - x + 10) - (- 6 x^{4} + 9 x^{3} + 7)$
188925	Evaluate	5+( square root of 43+2(3+4^2))÷2	$5 + \sqrt{43 + 2 (3 + 4^{2})} \div 2$
188926	Solve the Inequality for c	4c+5<4c+3	$4 c + 5 < 4 c + 3$
188927	Find the Equation Using Two Points	f(5)=7 and f(-2)=0	$f (5) = 7$ and $f (- 2) = 0$
188928	Simplify	(10-3)^2-6+2(8- square root of 64)	${(10 - 3)}^{2} - 6 + 2 (8 - \sqrt{64})$
188929	Find the Product	(a-3b)^2	${(a - 3 b)}^{2}$
188930	Graph	Find the value of x so that f(x)=7	Find the value of $x$ so that $f (x) = 7$
188931	Solve for a	(\|6a+3\|)/3>2	$\frac{\| 6 a + 3 \|}{3} > 2$
188932	Convert to Polar	y=-2	$y = - 2$
188933	Solve the Inequality for t	\|6t-7\|-8>=3	$\| 6 t - 7 \| - 8 \geq 3$
188934	Find All Complex Solutions	(x-3)/(x+1)=(4x-6)/((x+1)(x+2))	$\frac{x - 3}{x + 1} = \frac{4 x - 6}{(x + 1) (x + 2)}$
188935	Find the End Behavior	f(x)=-1/2x(x+5)(x-9)(x+2)	$f (x) = - \frac{1}{2} x (x + 5) (x - 9) (x + 2)$
188936	Solve for x	a^2=b^2+c^2-2bx	$a^{2} = b^{2} + c^{2} - 2 b x$
188937	Evaluate	log base x of 81=4	$\log_{x} (81) = 4$
188938	Simplify	(18-(-1-7)^2)+16÷(2^4)	$(18 - {(- 1 - 7)}^{2}) + 16 \div 2^{4}$
188939	Solve for v	qV=1/2mv^2	$q V = \frac{1}{2} m v^{2}$
188940	Graph	y=ex	$y = e x$
188941	Convert to Interval Notation	5x-7<=7x-11<=5x+9	$5 x - 7 \leq 7 x - 11 \leq 5 x + 9$
188942	Solve the System of Equations	-4x+3y=-2 y=x-1	$- 4 x + 3 y = - 2$ $y = x - 1$
188943	Find All Complex Solutions	square root of x^2+81=x+10	$\sqrt{x^{2} + 81} = x + 10$
188944	Solve the System of Equations	x-2y=0 y=2x-3	$x - 2 y = 0$ $y = 2 x - 3$
188945	Solve for x	1/(x-4)-2/(x+5)=(2x-1)/(x^2+x-20)	$\frac{1}{x - 4} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + x - 20}$
188946	Multiply	1/21/21/21/21/21/21/2*1/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
188947	Evaluate	((6+-8)^5)/(6-2(-8)^2)	$\frac{{(6 + - 8)}^{5}}{6 - 2 {(- 8)}^{2}}$
188948	Simplify	(9/7)/3	$\frac{\frac{9}{7}}{3}$
188949	Simplify	(2^(2/5))/(2^(1/10))	$\frac{2^{\frac{2}{5}}}{2^{\frac{1}{10}}}$
188950	Simplify	8x^2+3x-13x^2+10x^2-25x-x	$8 x^{2} + 3 x - 13 x^{2} + 10 x^{2} - 25 x - x$
188951	Solve for h	V=1/3Bh ; for h	$V = \frac{1}{3} B h$ ; for $h$
188952	Find the Holes in the Graph	(3x^2+12x)/(-2x^2+2x)	$\frac{3 x^{2} + 12 x}{- 2 x^{2} + 2 x}$
188953	Solve for x	a/x=b	$\frac{a}{x} = b$
188954	Find the First Term	a_n=2n	$a_{n} = 2 n$
188955	Simplify	2(((13-1)^2)÷2)	$2 ({(13 - 1)}^{2} \div 2)$
188956	Find All Complex Solutions	-2/(x(x+2))=(x+3)/(x+2)	$- \frac{2}{x (x + 2)} = \frac{x + 3}{x + 2}$
188957	Find the x and y Intercepts	R(x)=(x^2+x-6)/(x-3)	$R (x) = \frac{x^{2} + x - 6}{x - 3}$
188958	Simplify	(2x-1)(4xy+3y^2-2y)	$(2 x - 1) (4 x y + 3 y^{2} - 2 y)$
188959	Evaluate	-3(-1/2)	$- 3 (- \frac{1}{2})$
188960	Solve for x	g(x)=ax^2+24	$g (x) = a x^{2} + 24$
188961	Evaluate	6/(6/x)	$\frac{6}{\frac{6}{x}}$
188962	Find the Domain and Range	F(x)=6+1/x	$F (x) = 6 + \frac{1}{x}$
188963	Solve for a	(x^(1/5))^2 fifth root of x^6=x^a	${(x^{\frac{1}{5}})}^{2} \sqrt[5]{x^{6}} = x^{a}$
188964	Solve the System of Equations	x+2y=4 y=-1/2x+2	$x + 2 y = 4$ $y = - \frac{1}{2} x + 2$
188965	Combine Like Terms	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
188966	Graph	1/3 square root of x	$\frac{1}{3} \sqrt{x}$
188967	Simplify	(x-1)/(2x^2+x-3)	$\frac{x - 1}{2 x^{2} + x - 3}$
188968	Find the x and y Intercepts	f(x)=1/(x+4)-3	$f (x) = \frac{1}{x + 4} - 3$
188969	Simplify	(4x^2y^3z)/9*(45y)/(8x^5z^3)	$\frac{4 x^{2} y^{3} z}{9} \cdot \frac{45 y}{8 x^{5} z^{3}}$
188970	Solve for x	0=x^2-25	$0 = x^{2} - 25$
188971	Evaluate the Function	f(x)=-2x-5 for x=3	$f (x) = - 2 x - 5$ for $x = 3$
188972	Solve for x	-1/2x-1/4(10x-9)=-(-7/4x+2)-x	$- \frac{1}{2} x - \frac{1}{4} (10 x - 9) = - (- \frac{7}{4} x + 2) - x$
188973	Graph	y=1/4 square root of x	$y = \frac{1}{4} \sqrt{x}$
188974	Simplify	1/(x^2)-3/4	$\frac{1}{x^{2}} - \frac{3}{4}$
188975	Graph	(x+15)/-3>-7	$\frac{x + 15}{- 3} > - 7$
188976	Solve for c	3/4(12c-4)=15c+15	$\frac{3}{4} (12 c - 4) = 15 c + 15$
188977	Solve the System of Equations	2x+y-z=1 -x-y-2z=3 -4x-3y-3z=5	$2 x + y - z = 1$ $- x - y - 2 z = 3$ $- 4 x - 3 y - 3 z = 5$
188978	Simplify	(x^2y^-1)(x^-3y)^0	$(x^{2} y^{- 1}) {(x^{- 3} y)}^{0}$
188979	Solve for x	-6x+7(1-x)=-4(x-4)	$- 6 x + 7 (1 - x) = - 4 (x - 4)$
188980	Evaluate	square root of -4+3	$\sqrt{- 4 + 3}$
188981	Graph	f(x)=(x^2-3x)/(2x^2-3x-9)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} - 3 x - 9}$
188982	Evaluate	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
188983	Simplify	(x+2)-(x+2)	$(x + 2) - (x + 2)$
188984	Multiply	5/(2x+1)*6/x	$\frac{5}{2 x + 1} \cdot \frac{6}{x}$
188985	Solve for n	16-2n=-8+4(n-3)	$16 - 2 n = - 8 + 4 (n - 3)$
188986	Solve the Inequality for x	\|x-3\|>-1	$\| x - 3 \| > - 1$
188987	Solve the Inequality for x	(x-6)/((x-3)(x-9))<0	$\frac{x - 6}{(x - 3) (x - 9)} < 0$
188988	Find the Function	f(x)=2(x)^2+5 square root of x+2	$f (x) = 2 {(x)}^{2} + 5 \sqrt{x + 2}$
188989	Solve for B	(2pi)/B=2	$\frac{2 π}{B} = 2$
188990	Simplify	( square root of -4)^2	${(\sqrt{- 4})}^{2}$
188991	Multiply	square root of 2* square root of 3* square root of 13	$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{13}$
188992	Find the x and y Intercepts	y=2- square root of x	$y = 2 - \sqrt{x}$
188993	Simplify	(1/x+1/(x^2))/(1/9+1/(3x))	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{1}{9} + \frac{1}{3 x}}$
188994	Evaluate	f(2)=e^2	$f (2) = e^{2}$
188995	Simplify	9-8-19x-4x	$9 - 8 - 19 x - 4 x$
188996	Find the Roots (Zeros)	-8x^2-3x-2=-10x^2	$- 8 x^{2} - 3 x - 2 = - 10 x^{2}$
188997	Solve for x	-1/2(3x-5)=7	$- \frac{1}{2} (3 x - 5) = 7$
188998	Solve the Inequality for y	y/3<-1	$\frac{y}{3} < - 1$
188999	Simplify	(5-2 square root of 2)/( square root of 12)	$\frac{5 - 2 \sqrt{2}}{\sqrt{12}}$
189000	Simplify	(3x)/(x+3)+(x+2)/x	$\frac{3 x}{x + 3} + \frac{x + 2}{x}$