Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231901	Simplify	square root of square root of square root of 256/6561	$\sqrt{\sqrt{\sqrt{\frac{256}{6561}}}}$
231902	Evaluate	cos(arcsin(10x))	$\cos (\arcsin (10 x))$
231903	Simplify	(0.25x^(1/4))^2(12x^3)	${(0.25 x^{\frac{1}{4}})}^{2} (12 x^{3})$
231904	Find All Complex Solutions	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
231905	Evaluate	48/y=6/(1/8)	$\frac{48}{y} = \frac{6}{\frac{1}{8}}$
231906	Evaluate	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
231907	Simplify the Radical Expression	( square root of a^9)/( fifth root of a^6)	$\frac{\sqrt{a^{9}}}{\sqrt[5]{a^{6}}}$
231908	Simplify	( square root of x square root of y)/( fifth root of x^2y)	$\frac{\sqrt{x \sqrt{y}}}{\sqrt[5]{x^{2} y}}$
231909	Solve for x	\|3x\|+5<4	$\| 3 x \| + 5 < 4$
231910	Simplify	(5y^3)/(x^2)+4x	$\frac{5 y^{3}}{x^{2}} + 4 x$
231911	Simplify	((a^7)/(2b))^5	${(\frac{a^{7}}{2 b})}^{5}$
231912	Simplify the Radical Expression	cube root of a/b	$\sqrt[3]{\frac{a}{b}}$
231913	Convert to a Decimal	cos(90)deg	$\cos (90)$ degrees
231914	Solve for x	9x^5-72x^2=0	$9 x^{5} - 72 x^{2} = 0$
231915	Simplify	( square root of 32)/3+(4 square root of 2)/3-( square root of 2)/( square root of 9)	$\frac{\sqrt{32}}{3} + \frac{4 \sqrt{2}}{3} - \frac{\sqrt{2}}{\sqrt{9}}$
231916	Simplify	((36x^-8y^3)/(9x^2y))^(3/2)	${(\frac{36 x^{- 8} y^{3}}{9 x^{2} y})}^{\frac{3}{2}}$
231917	Solve for x	x^2=4(x-3)^2	$x^{2} = 4 {(x - 3)}^{2}$
231918	Simplify	2(2/3)-5(1/4)	$2 (\frac{2}{3}) - 5 (\frac{1}{4})$
231919	Solve for h	t = square root of (2h)/g	$t = \sqrt{\frac{2 h}{g}}$
231920	Solve for vբ	a=(v_f-v_i)/t	$a = \frac{v_{f} - v_{i}}{t}$
231921	Simplify	x^-1y^-4z^-1*zx^-1	$x^{- 1} y^{- 4} z^{- 1} \cdot z x^{- 1}$
231922	Simplify	cube root of 54+ cube root of 40+ cube root of 16	$\sqrt[3]{54} + \sqrt[3]{40} + \sqrt[3]{16}$
231923	Simplify	plus or minus square root of -70	$\pm \sqrt{- 70}$
231924	Simplify	(4x^2-3x+10)+(x^2+x)	$(4 x^{2} - 3 x + 10) + (x^{2} + x)$
231925	Solve the Inequality for c	a=b(1/c-1/d)	$a = b (\frac{1}{c} - \frac{1}{d})$
231926	Describe the Transformation	g(x)=- cube root of x-1	$g (x) = - \sqrt[3]{x} - 1$
231927	Find the Product	(f+g)(2)	$(f + g) (2)$
231928	Simplify	(1+2tan(a)^2+tan(a)^4)/(sec(a)^4)	$\frac{1 + 2 \tan^{2} (a) + \tan^{4} (a)}{\sec^{4} (a)}$
231929	Find the Quotient	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
231930	Simplify	(a+1)/(a/5)	$\frac{a + 1}{\frac{a}{5}}$
231931	Solve the Inequality for x	ax+b>c	$a x + b > c$
231932	Find the Multiples	multiples of 6	multiples of $6$
231933	Solve for x	-f(x)=3x^2+2x-2	$- f (x) = 3 x^{2} + 2 x - 2$
231934	Simplify the Radical Expression	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
231935	Graph	(-x)^3	${(- x)}^{3}$
231936	Simplify	2y(3x+5y-4)	$2 y (3 x + 5 y - 4)$
231937	Find the x and y Intercepts	(x-1)(x-1)(x-1)=y	$(x - 1) (x - 1) (x - 1) = y$
231938	Divide	(9x^3y^6)/(xy^6)	$\frac{9 x^{3} y^{6}}{x y^{6}}$
231939	Evaluate	40% of 65	$40 %$ of $65$
231940	Write Using Positive Exponents	-4a^-2b^-2	$- 4 a^{- 2} b^{- 2}$
231941	Solve for z	2(3z+4)^(1/2)=10	$2 {(3 z + 4)}^{\frac{1}{2}} = 10$
231942	Simplify	((3^2)^3*3^6)/(3^4)	$\frac{{(3^{2})}^{3} \cdot 3^{6}}{3^{4}}$
231943	Solve for m	3m-8qt=14	$3 m - 8 qt = 14$
231944	Evaluate	((1/2)/2)^2	${(\frac{\frac{1}{2}}{2})}^{2}$
231945	Simplify	7/(y+8)+35/(y^2+11y+24)	$\frac{7}{y + 8} + \frac{35}{y^{2} + 11 y + 24}$
231946	Solve the Absolute Value Inequality for x	-2\|x\|=14	$- 2 \| x \| = 14$
231947	Find the x and y Intercepts	y=1/2	$y = \frac{1}{2}$
231948	Simplify	(5 square root of 7)-(11 square root of 7)	$(5 \sqrt{7}) - (11 \sqrt{7})$
231949	Solve in Terms of the Arbitrary Variable x	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
231950	Solve by Factoring	4x^3-7x^2=3x^2	$4 x^{3} - 7 x^{2} = 3 x^{2}$
231951	Simplify	1/(5x)+x/15	$\frac{1}{5 x} + \frac{x}{15}$
231952	Simplify the Radical Expression	(10 square root of 18)÷2 square root of 9	$10 \sqrt{18} \div 2 \sqrt{9}$
231953	Simplify	-1^-2	$- 1^{- 2}$
231954	Simplify	7(1/9a+2)	$7 (\frac{1}{9} a + 2)$
231955	Simplify the Radical Expression	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
231956	Solve for x	-5(x+3/5)=-4	$- 5 (x + \frac{3}{5}) = - 4$
231957	Solve for x	-4-4(-x-1)=4(x-1)	$- 4 - 4 (- x - 1) = 4 (x - 1)$
231958	Simplify	((-7nm^2)^-3)^0	${({(- 7 n m^{2})}^{- 3})}^{0}$
231959	Solve the Inequality for r	-13<=-5r+2	$- 13 \leq - 5 r + 2$
231960	Simplify	square root of 15b^3* square root of 20b^3	$\sqrt{15 b^{3}} \cdot \sqrt{20 b^{3}}$
231961	Solve for x	3/4x-(x-14)/6=7/4x	$\frac{3}{4} x - \frac{x - 14}{6} = \frac{7}{4} x$
231962	Find the Roots (Zeros)	6x=9+x^2	$6 x = 9 + x^{2}$
231963	Find the End Behavior	-2r^5+4r^3+9r-7	$- 2 r^{5} + 4 r^{3} + 9 r - 7$
231964	Simplify	square root of (25m^2)/(p^8q^1*0)	$\sqrt{\frac{25 m^{2}}{p^{8} q^{1} \cdot 0}}$
231965	Multiply	x^3x^3x^3	$x^{3} \cdot x^{3} \cdot x^{3}$
231966	Evaluate	( square root of 5+2)(4- square root of 5)	$(\sqrt{5} + 2) (4 - \sqrt{5})$
231967	Determine if Dependent, Independent, or Inconsistent	x-y=-4 y=x+4	$x - y = - 4$ $y = x + 4$
231968	Solve for x	log base 3 of 27+ log base 3 of 1/3 = log base 3 of x	$\log_{3} (27) + \log_{3} (\frac{1}{3}) = \log_{3} (x)$
231969	Simplify	i^2i^3i^4	$i^{2} \cdot i^{3} \cdot i^{4}$
231970	Simplify	i square root of -16	$i \sqrt{- 16}$
231971	Solve for θ	csc(theta)^2-2=0	$\csc^{2} (θ) - 2 = 0$
231972	Simplify	1/(2x^3)+3/(4x^2)	$\frac{1}{2 x^{3}} + \frac{3}{4 x^{2}}$
231973	Solve for x	3-(7+2x)>-8	$3 - (7 + 2 x) > - 8$
231974	Graph	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
231975	Find the Roots (Zeros)	f(x)=(x+2)(x-1)(x-(4+3i))(x-(4-3i))	$f (x) = (x + 2) (x - 1) (x - (4 + 3 i)) (x - (4 - 3 i))$
231976	Solve for x	x/(x^2-2)=-1/x	$\frac{x}{x^{2} - 2} = - \frac{1}{x}$
231977	Evaluate	fifth root of x+5=7	$\sqrt[5]{x} + 5 = 7$
231978	Simplify	square root of -3 square root of -5	$\sqrt{- 3} \sqrt{- 5}$
231979	Evaluate Using the Given Value	8-4xy^2 for x=3 and y=-2	$8 - 4 x y^{2}$ for $x = 3$ and $y = - 2$
231980	Evaluate	(csc(theta))/(sin(theta))	$\frac{\csc (θ)}{\sin (θ)}$
231981	Evaluate	(b^(9/4))/(b^2)	$\frac{b^{\frac{9}{4}}}{b^{2}}$
231982	Solve for y	y^4=2-y^2	$y^{4} = 2 - y^{2}$
231983	Solve the System of Inequalities	y<=-x+3 y<=2x-3	$y \leq - x + 3$ $y \leq 2 x - 3$
231984	Solve for x	(4)^2=2^((1/2)x)	${(4)}^{2} = 2^{(\frac{1}{2}) x}$
231985	Convert to Interval Notation	x<5 and x>-3	$x < 5$ and $x > - 3$
231986	Solve for x	90+x+x=180	$90 + x + x = 180$
231987	Solve for y	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
231988	Simplify	5x(-4x+3x^2-2)+8(15+9x+4x^2)	$5 x (- 4 x + 3 x^{2} - 2) + 8 (15 + 9 x + 4 x^{2})$
231989	Solve the System of Inequalities	-5m<20 and 6m>-18	$- 5 m < 20$ and $6 m > - 18$
231990	Solve for x	3/4(x-13)=-2(9+x)	$\frac{3}{4} (x - 13) = - 2 (9 + x)$
231991	Evaluate	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
231992	Graph	y>=4 2x-y<3	$y \geq 4$ $2 x - y < 3$
231993	Solve for x	1/2 square root of x-5=2	$\frac{1}{2} \sqrt{x} - 5 = 2$
231994	Multiply	4/5*(-2/9)	$\frac{4}{5} \cdot (- \frac{2}{9})$
231995	Solve for x	(3x+4)^2-36=15x+20	${(3 x + 4)}^{2} - 36 = 15 x + 20$
231996	Simplify	(2-1/2x)^2	${(2 - \frac{1}{2} x)}^{2}$
231997	Graph	f(x)=-x^5+3/4x^2+x	$f (x) = - x^{5} + \frac{3}{4} x^{2} + x$
231998	Solve the System of Equations	-6x-2y=-12 and -3x-6y=9	$- 6 x - 2 y = - 12$ and $- 3 x - 6 y = 9$
231999	Solve for x	2(x/3+4)=12	$2 (\frac{x}{3} + 4) = 12$
232000	Solve for j	5j+2/3=-1/6	$5 j + \frac{2}{3} = - \frac{1}{6}$