Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231901	Factor	-6x^4y-9x^3y^2+3x^2y^3	$- 6 x^{4} y - 9 x^{3} y^{2} + 3 x^{2} y^{3}$
231902	Convert to Interval Notation	x<=-3 or x>1	$x \leq - 3$ or $x > 1$
231903	Find the GCF	-24a^2b^2+36ab-60a	$- 24 a^{2} b^{2} + 36 a b - 60 a$
231904	Solve for x	1-2(6-x)=3x+2	$1 - 2 (6 - x) = 3 x + 2$
231905	Evaluate the Function	f(x)=x^2-4x-2 at x=1	$f (x) = x^{2} - 4 x - 2$ at $x = 1$
231906	Solve the System of Equations	5x-2y=3 y=2x	$5 x - 2 y = 3$ $y = 2 x$
231907	Simplify	((4x^-3y^2)^2)/((2x^3y^5)^0)	$\frac{{(4 x^{- 3} y^{2})}^{2}}{{(2 x^{3} y^{5})}^{0}}$
231908	Graph	-(x+3)(x+1)(x-2)	$- (x + 3) (x + 1) (x - 2)$
231909	Find the Distance Between Two Points	(-1,7) and (9,5)	$(- 1, 7)$ and $(9, 5)$
231910	Simplify	(2x)/3+(x+3)/(3x+18)	$\frac{2 x}{3} + \frac{x + 3}{3 x + 18}$
231911	Graph	-3/2 square root of x	$- \frac{3}{2} \sqrt{x}$
231912	Find the Exact Value	(3^-8*7^3)^-2	${(3^{- 8} \cdot 7^{3})}^{- 2}$
231913	Simplify	-2 square root of 64+5 square root of -64+ cube root of -729	$- 2 \sqrt{64} + 5 \sqrt{- 64} + \sqrt[3]{- 729}$
231914	Simplify	(x^2-25)^3-15(x^2-25)^2+75(x^2-25)-125	${(x^{2} - 25)}^{3} - 15 {(x^{2} - 25)}^{2} + 75 (x^{2} - 25) - 125$
231915	Solve the System of Equations	x^2+(y+3)^2=25 x-y=4	$x^{2} + {(y + 3)}^{2} = 25$ $x - y = 4$
231916	Find the Product	(-18m^2n)^2(-1/6mn^2)	${(- 18 m^{2} n)}^{2} (- \frac{1}{6} m n^{2})$
231917	Simplify	square root of square root of square root of 256/6561	$\sqrt{\sqrt{\sqrt{\frac{256}{6561}}}}$
231918	Evaluate	cos(arcsin(10x))	$\cos (\arcsin (10 x))$
231919	Simplify	(0.25x^(1/4))^2(12x^3)	${(0.25 x^{\frac{1}{4}})}^{2} (12 x^{3})$
231920	Find All Complex Solutions	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
231921	Evaluate	48/y=6/(1/8)	$\frac{48}{y} = \frac{6}{\frac{1}{8}}$
231922	Evaluate	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
231923	Simplify the Radical Expression	( square root of a^9)/( fifth root of a^6)	$\frac{\sqrt{a^{9}}}{\sqrt[5]{a^{6}}}$
231924	Simplify	( square root of x square root of y)/( fifth root of x^2y)	$\frac{\sqrt{x \sqrt{y}}}{\sqrt[5]{x^{2} y}}$
231925	Solve for x	\|3x\|+5<4	$\| 3 x \| + 5 < 4$
231926	Simplify	(5y^3)/(x^2)+4x	$\frac{5 y^{3}}{x^{2}} + 4 x$
231927	Simplify	((a^7)/(2b))^5	${(\frac{a^{7}}{2 b})}^{5}$
231928	Simplify the Radical Expression	cube root of a/b	$\sqrt[3]{\frac{a}{b}}$
231929	Convert to a Decimal	cos(90)deg	$\cos (90)$ degrees
231930	Solve for x	9x^5-72x^2=0	$9 x^{5} - 72 x^{2} = 0$
231931	Simplify	( square root of 32)/3+(4 square root of 2)/3-( square root of 2)/( square root of 9)	$\frac{\sqrt{32}}{3} + \frac{4 \sqrt{2}}{3} - \frac{\sqrt{2}}{\sqrt{9}}$
231932	Simplify	((36x^-8y^3)/(9x^2y))^(3/2)	${(\frac{36 x^{- 8} y^{3}}{9 x^{2} y})}^{\frac{3}{2}}$
231933	Solve for x	x^2=4(x-3)^2	$x^{2} = 4 {(x - 3)}^{2}$
231934	Simplify	2(2/3)-5(1/4)	$2 (\frac{2}{3}) - 5 (\frac{1}{4})$
231935	Solve for h	t = square root of (2h)/g	$t = \sqrt{\frac{2 h}{g}}$
231936	Solve for vբ	a=(v_f-v_i)/t	$a = \frac{v_{f} - v_{i}}{t}$
231937	Simplify	x^-1y^-4z^-1*zx^-1	$x^{- 1} y^{- 4} z^{- 1} \cdot z x^{- 1}$
231938	Simplify	cube root of 54+ cube root of 40+ cube root of 16	$\sqrt[3]{54} + \sqrt[3]{40} + \sqrt[3]{16}$
231939	Simplify	plus or minus square root of -70	$\pm \sqrt{- 70}$
231940	Simplify	(4x^2-3x+10)+(x^2+x)	$(4 x^{2} - 3 x + 10) + (x^{2} + x)$
231941	Solve the Inequality for c	a=b(1/c-1/d)	$a = b (\frac{1}{c} - \frac{1}{d})$
231942	Describe the Transformation	g(x)=- cube root of x-1	$g (x) = - \sqrt[3]{x} - 1$
231943	Find the Product	(f+g)(2)	$(f + g) (2)$
231944	Simplify	(1+2tan(a)^2+tan(a)^4)/(sec(a)^4)	$\frac{1 + 2 \tan^{2} (a) + \tan^{4} (a)}{\sec^{4} (a)}$
231945	Find the Quotient	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
231946	Simplify	(a+1)/(a/5)	$\frac{a + 1}{\frac{a}{5}}$
231947	Solve the Inequality for x	ax+b>c	$a x + b > c$
231948	Find the Multiples	multiples of 6	multiples of $6$
231949	Solve for x	-f(x)=3x^2+2x-2	$- f (x) = 3 x^{2} + 2 x - 2$
231950	Simplify the Radical Expression	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
231951	Graph	(-x)^3	${(- x)}^{3}$
231952	Simplify	2y(3x+5y-4)	$2 y (3 x + 5 y - 4)$
231953	Find the x and y Intercepts	(x-1)(x-1)(x-1)=y	$(x - 1) (x - 1) (x - 1) = y$
231954	Divide	(9x^3y^6)/(xy^6)	$\frac{9 x^{3} y^{6}}{x y^{6}}$
231955	Evaluate	40% of 65	$40 %$ of $65$
231956	Write Using Positive Exponents	-4a^-2b^-2	$- 4 a^{- 2} b^{- 2}$
231957	Solve for z	2(3z+4)^(1/2)=10	$2 {(3 z + 4)}^{\frac{1}{2}} = 10$
231958	Simplify	((3^2)^3*3^6)/(3^4)	$\frac{{(3^{2})}^{3} \cdot 3^{6}}{3^{4}}$
231959	Solve for m	3m-8qt=14	$3 m - 8 qt = 14$
231960	Evaluate	((1/2)/2)^2	${(\frac{\frac{1}{2}}{2})}^{2}$
231961	Simplify	7/(y+8)+35/(y^2+11y+24)	$\frac{7}{y + 8} + \frac{35}{y^{2} + 11 y + 24}$
231962	Solve the Absolute Value Inequality for x	-2\|x\|=14	$- 2 \| x \| = 14$
231963	Find the x and y Intercepts	y=1/2	$y = \frac{1}{2}$
231964	Simplify	(5 square root of 7)-(11 square root of 7)	$(5 \sqrt{7}) - (11 \sqrt{7})$
231965	Solve in Terms of the Arbitrary Variable x	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
231966	Solve by Factoring	4x^3-7x^2=3x^2	$4 x^{3} - 7 x^{2} = 3 x^{2}$
231967	Simplify	1/(5x)+x/15	$\frac{1}{5 x} + \frac{x}{15}$
231968	Simplify the Radical Expression	(10 square root of 18)÷2 square root of 9	$10 \sqrt{18} \div 2 \sqrt{9}$
231969	Simplify	-1^-2	$- 1^{- 2}$
231970	Simplify	7(1/9a+2)	$7 (\frac{1}{9} a + 2)$
231971	Simplify the Radical Expression	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
231972	Solve for x	-5(x+3/5)=-4	$- 5 (x + \frac{3}{5}) = - 4$
231973	Solve for x	-4-4(-x-1)=4(x-1)	$- 4 - 4 (- x - 1) = 4 (x - 1)$
231974	Simplify	((-7nm^2)^-3)^0	${({(- 7 n m^{2})}^{- 3})}^{0}$
231975	Solve the Inequality for r	-13<=-5r+2	$- 13 \leq - 5 r + 2$
231976	Simplify	square root of 15b^3* square root of 20b^3	$\sqrt{15 b^{3}} \cdot \sqrt{20 b^{3}}$
231977	Solve for x	3/4x-(x-14)/6=7/4x	$\frac{3}{4} x - \frac{x - 14}{6} = \frac{7}{4} x$
231978	Find the Roots (Zeros)	6x=9+x^2	$6 x = 9 + x^{2}$
231979	Find the End Behavior	-2r^5+4r^3+9r-7	$- 2 r^{5} + 4 r^{3} + 9 r - 7$
231980	Simplify	square root of (25m^2)/(p^8q^1*0)	$\sqrt{\frac{25 m^{2}}{p^{8} q^{1} \cdot 0}}$
231981	Multiply	x^3x^3x^3	$x^{3} \cdot x^{3} \cdot x^{3}$
231982	Evaluate	( square root of 5+2)(4- square root of 5)	$(\sqrt{5} + 2) (4 - \sqrt{5})$
231983	Determine if Dependent, Independent, or Inconsistent	x-y=-4 y=x+4	$x - y = - 4$ $y = x + 4$
231984	Solve for x	log base 3 of 27+ log base 3 of 1/3 = log base 3 of x	$\log_{3} (27) + \log_{3} (\frac{1}{3}) = \log_{3} (x)$
231985	Simplify	i^2i^3i^4	$i^{2} \cdot i^{3} \cdot i^{4}$
231986	Simplify	i square root of -16	$i \sqrt{- 16}$
231987	Solve for θ	csc(theta)^2-2=0	$\csc^{2} (θ) - 2 = 0$
231988	Simplify	1/(2x^3)+3/(4x^2)	$\frac{1}{2 x^{3}} + \frac{3}{4 x^{2}}$
231989	Solve for x	3-(7+2x)>-8	$3 - (7 + 2 x) > - 8$
231990	Graph	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
231991	Find the Roots (Zeros)	f(x)=(x+2)(x-1)(x-(4+3i))(x-(4-3i))	$f (x) = (x + 2) (x - 1) (x - (4 + 3 i)) (x - (4 - 3 i))$
231992	Solve for x	x/(x^2-2)=-1/x	$\frac{x}{x^{2} - 2} = - \frac{1}{x}$
231993	Evaluate	fifth root of x+5=7	$\sqrt[5]{x} + 5 = 7$
231994	Simplify	square root of -3 square root of -5	$\sqrt{- 3} \sqrt{- 5}$
231995	Evaluate Using the Given Value	8-4xy^2 for x=3 and y=-2	$8 - 4 x y^{2}$ for $x = 3$ and $y = - 2$
231996	Evaluate	(csc(theta))/(sin(theta))	$\frac{\csc (θ)}{\sin (θ)}$
231997	Evaluate	(b^(9/4))/(b^2)	$\frac{b^{\frac{9}{4}}}{b^{2}}$
231998	Solve for y	y^4=2-y^2	$y^{4} = 2 - y^{2}$
231999	Solve the System of Inequalities	y<=-x+3 y<=2x-3	$y \leq - x + 3$ $y \leq 2 x - 3$
232000	Solve for x	(4)^2=2^((1/2)x)	${(4)}^{2} = 2^{(\frac{1}{2}) x}$