Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226701	Describe the Transformation	f(x) = cube root of x , g(x) = cube root of x+4-5	$f (x) = \sqrt[3]{x}$ , $g (x) = \sqrt[3]{x + 4} - 5$
226702	Write the Fraction in Simplest Form	((5h^-5s^-4)^-3)/(20h^5s^-7)	$\frac{{(5 h^{- 5} s^{- 4})}^{- 3}}{20 h^{5} s^{- 7}}$
226703	Simplify the Radical Expression	cube root of -0.008	$\sqrt[3]{- 0.008}$
226704	Solve the System of Equations	Solve the system of equations y=3x+4 and y=2x+4 using the Graphing Method.	Solve the system of equations $y = 3 x + 4$ and $y = 2 x + 4$ using the Graphing Method.
226705	Solve the System of Equations	a+5b-c=-20 4a-5b+4c=19 -a-5b-5c=2	$a + 5 b - c = - 20$ $4 a - 5 b + 4 c = 19$ $- a - 5 b - 5 c = 2$
226706	Simplify	-4/5m+1/5m+1/4n-1/4n	$- \frac{4}{5} m + \frac{1}{5} m + \frac{1}{4} n - \frac{1}{4} n$
226707	Simplify	( fourth root of 81x^8y^12)^3	${(\sqrt[4]{81 x^{8} y^{12}})}^{3}$
226708	Solve for y	natural log of (1+xy)/(1-xy)-2x=c	$\ln (\frac{1 + x y}{1 - x y}) - 2 x = c$
226709	Solve the Inequality for x	1/6(x-15)<x+20	$\frac{1}{6} (x - 15) < x + 20$
226710	Solve for q	\|q\|-5>0	$\| q \| - 5 > 0$
226711	Solve the Inequality for b	12>=-3b	$12 \geq - 3 b$
226712	Rationalize the Denominator	fourth root of 81/(4x^6)	$\sqrt[4]{\frac{81}{4 x^{6}}}$
226713	Simplify the Radical Expression	( fourth root of 27)/( square root of 3)	$\frac{\sqrt[4]{27}}{\sqrt{3}}$
226714	Simplify	(2^(2x)-1)/(2^x+1)	$\frac{2^{2 x} - 1}{2^{x} + 1}$
226715	Find the Inverse	4x^2 , x<=0	$4 x^{2}$ , $x \leq 0$
226716	Simplify	-6z+(-5.5)+3.5z+5y-2.5	$- 6 z + (- 5.5) + 3.5 z + 5 y - 2.5$
226717	Graph	( square root of 3,0)	$(\sqrt{3}, 0)$
226718	Simplify	square root of x*x	$\sqrt{x \cdot x}$
226719	Factor	2x^3-5x^2+40x-100=0	$2 x^{3} - 5 x^{2} + 40 x - 100 = 0$
226720	Write in Standard Form	f(x)=(x+2)(x-2)	$f (x) = (x + 2) (x - 2)$
226721	Find the Directrix	6x+y^2=0	$6 x + y^{2} = 0$
226722	Solve for x	square root of x-2 = square root of 12	$\sqrt{x - 2} = \sqrt{12}$
226723	Evaluate	(4.1610^3+2.5810^2)/(5.377*10^4)	$\frac{4.16 \cdot 10^{3} + 2.58 \cdot 10^{2}}{5.377 \cdot 10^{4}}$
226724	Find the Exact Value	sin(120 degrees )^2	$\sin^{2} (120 °)$
226725	Divide Using Synthetic Division	5x^3-15x^2+16x-12 by x-2	$5 x^{3} - 15 x^{2} + 16 x - 12$ by $x - 2$
226726	Solve for y	2y-x=3/4(-y+1)	$2 y - x = \frac{3}{4} (- y + 1)$
226727	Solve for q	4(3q+10)=6(2q-9)	$4 (3 q + 10) = 6 (2 q - 9)$
226728	Write the Fraction in Simplest Form	((-3s^-1c^-4)^2)/(4s^10c^-10)	$\frac{{(- 3 s^{- 1} c^{- 4})}^{2}}{4 s^{10} c^{- 10}}$
226729	Write the Fraction in Simplest Form	(2(p^2)^-4)/(2r^-2)	$\frac{2 {(p^{2})}^{- 4}}{2 r^{- 2}}$
226730	Simplify	-2y^3-y^2+y^2+y^3	$- 2 y^{3} - y^{2} + y^{2} + y^{3}$
226731	Factor	3c-cd+3d-c^2	$3 c - c d + 3 d - c^{2}$
226732	Simplify	((4^-6)/(4^-6))^5	${(\frac{4^{- 6}}{4^{- 6}})}^{5}$
226733	Simplify the Radical Expression	(z^(-4/3))^(-6/5)	${(z^{- \frac{4}{3}})}^{- \frac{6}{5}}$
226734	Simplify the Radical Expression	(- square root of -32)( square root of -14)	$(- \sqrt{- 32}) (\sqrt{- 14})$
226735	Evaluate	3 log base 9 of x^2=6 log base 9 of x	$3 \log_{9} (x^{2}) = 6 \log_{9} (x)$
226736	Find the Domain and Range	y=(x^2-5x+4)/(x-4)	$y = \frac{x^{2} - 5 x + 4}{x - 4}$
226737	Write in Standard Form	xy^2-2x^2y+3y^3-6x^2y+4xy^2	$x y^{2} - 2 x^{2} y + 3 y^{3} - 6 x^{2} y + 4 x y^{2}$
226738	Simplify	( cube root of 54)÷( cube root of 2)	$\sqrt[3]{54} \div \sqrt[3]{2}$
226739	Simplify	(2y+3)/(y^2-1)*(1-y)/(y+1)	$\frac{2 y + 3}{y^{2} - 1} \cdot \frac{1 - y}{y + 1}$
226740	Find the Equation Using Slope-Intercept Form	(5,0) ; slope 0	$(5, 0)$ ; slope $0$
226741	Evaluate	7*(5+30s-45t)	$7 \cdot (5 + 30 s - 45 t)$
226742	Solve for x	(3x-1)/(3x)+7/x=-2/3	$\frac{3 x - 1}{3 x} + \frac{7}{x} = \frac{- 2}{3}$
226743	Evaluate	1/2(30)^21/13	$\frac{1}{2} \cdot {(30)}^{2} \cdot \frac{1}{13}$
226744	Find the Product	3x^2(2xy-3xy^2+4x^2y^3)	$3 x^{2} (2 x y - 3 x y^{2} + 4 x^{2} y^{3})$
226745	Solve for x	-1/3-(3x+2)/x=4/(3x)	$\frac{- 1}{3} - \frac{3 x + 2}{x} = \frac{4}{3 x}$
226746	Solve for x	cube root of 2x^2+1=-2	$\sqrt[3]{2 x^{2} + 1} = - 2$
226747	Solve for x	6+4/5x=9/10x	$6 + \frac{4}{5} x = \frac{9}{10} x$
226748	Evaluate	-21+-6(23-1)	$- 21 + - 6 (23 - 1)$
226749	Simplify	-(2 square root of 2)/2	$- \frac{2 \sqrt{2}}{2}$
226750	Graph	y=a^x , a>1	$y = a^{x}$ , $a > 1$
226751	Simplify	((36257x^5x^-4)/(z^8))^0	${(\frac{36257 x^{5} x^{- 4}}{z^{8}})}^{0}$
226752	Find the Roots (Zeros)	(x^3+9)(x^2-4)=0	$(x^{3} + 9) (x^{2} - 4) = 0$
226753	Solve for x	(16)^4=2^((1/2)x)	${(16)}^{4} = 2^{(\frac{1}{2}) x}$
226754	Solve the System of Equations	-8x-7y=61 and x+y=-8	$- 8 x - 7 y = 61$ and $x + y = - 8$
226755	Rationalize the Denominator	y/( square root of 2x+ square root of 2y)	$\frac{y}{\sqrt{2 x} + \sqrt{2 y}}$
226756	Write the Fraction in Simplest Form	2-(x^2+10xy+7y^2)/(x^2+4xy+4y^2)	$2 - \frac{x^{2} + 10 x y + 7 y^{2}}{x^{2} + 4 x y + 4 y^{2}}$
226757	Solve for c	(ab-c)/d=f	$\frac{a b - c}{d} = f$
226758	Simplify	(-(-10)+- square root of (-10)^2-43-1)/(2(3))	$\frac{- (- 10) + - \sqrt{{(- 10)}^{2} - 4 \cdot 3 \cdot - 1}}{2 (3)}$
226759	Simplify	(5m^3)/( square root of 10m)	$\frac{5 m^{3}}{\sqrt{10 m}}$
226760	Solve for x	(1/2)^(-x)=1.6	${(\frac{1}{2})}^{- x} = 1.6$
226761	Solve by Graphing	x-2y=-8 y=5/2x	$x - 2 y = - 8$ $y = \frac{5}{2} x$
226762	Simplify the Radical Expression	fifth root of x^7* cube root of x^2	$\sqrt[5]{x^{7}} \cdot \sqrt[3]{x^{2}}$
226763	Solve for x	7/4x-3=2+9/2x	$\frac{7}{4} x - 3 = 2 + \frac{9}{2} x$
226764	Evaluate	-2(1-4(8+(-5)))	$- 2 (1 - 4 (8 + (- 5)))$
226765	Solve for w	8/(2w+1)=3/w	$\frac{8}{2 w + 1} = \frac{3}{w}$
226766	Write in Exponential Form	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
226767	Evaluate	((4^3)/y)^3	${(\frac{4^{3}}{y})}^{3}$
226768	Simplify the Radical Expression	cube root of sixth root of y^2	$\sqrt[3]{\sqrt[6]{y^{2}}}$
226769	Find the Product	-7c^3d^2(9c^2d^2-4cd^5)	$- 7 c^{3} d^{2} (9 c^{2} d^{2} - 4 c d^{5})$
226770	Multiply	cube root of 4* cube root of 8	$\sqrt[3]{4} \cdot \sqrt[3]{8}$
226771	Solve for x	y=x+2 square root of x-1	$y = x + 2 \sqrt{x - 1}$
226772	Write in Slope-Intercept Form	y-4=x	$y - 4 = x$
226773	Find the Domain and Range	y=1/(1+x^2)	$y = \frac{1}{1 + x^{2}}$
226774	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-5) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 1, - 5)$ and has a slope of $- 3$ ?
226775	Solve for D	2x^2D-5y+1=4x+2y^2D	$2 x^{2} D - 5 y + 1 = 4 x + 2 y^{2} D$
226776	Evaluate	sin(30 degrees )+cos(60 degrees )	$\sin (30 °) + \cos (60 °)$
226777	Subtract	-1/4-1/2	$\frac{- 1}{4} - \frac{1}{2}$
226778	Find the x and y Intercepts	11+x/3=-2y+6	$11 + \frac{x}{3} = - 2 y + 6$
226779	Simplify	10b-7a+(-b)+10a-9b+5	$10 b - 7 a + (- b) + 10 a - 9 b + 5$
226780	Simplify	(( cube root of x^2)/( square root of x))^-6	${(\frac{\sqrt[3]{x^{2}}}{\sqrt{x}})}^{- 6}$
226781	Simplify	-3ab^2(a^3b^2-2a^2b)	$- 3 a b^{2} (a^{3} b^{2} - 2 a^{2} b)$
226782	Simplify	x/(y/x)	$\frac{x}{\frac{y}{x}}$
226783	Solve the Inequality for x	x^2+11x>=7x+32	$x^{2} + 11 x \geq 7 x + 32$
226784	Simplify the Radical Expression	cube root of (27a^4)/(8b^3)	$\sqrt[3]{\frac{27 a^{4}}{8 b^{3}}}$
226785	Multiply	(x-4)/(2x-18)*(x^2-7x-18)/(x^2-16)	$\frac{x - 4}{2 x - 18} \cdot \frac{x^{2} - 7 x - 18}{x^{2} - 16}$
226786	Simplify	5(x+3)(x+2)-3(x^2+2x+1)	$5 (x + 3) (x + 2) - 3 (x^{2} + 2 x + 1)$
226787	Simplify	cube root of square root of fourth root of h	$\sqrt[3]{\sqrt{\sqrt[4]{h}}}$
226788	Simplify	square root of 2*1	$\sqrt{2} \cdot 1$
226789	Evaluate	i^8*i^60	$i^{8} \cdot i^{60}$
226790	Evaluate	2pi(4.5)(11)	$2 π (4.5) (11)$
226791	Solve for x	1/(2x)-(x-1)/(2x^2)=3/x	$\frac{1}{2 x} - \frac{x - 1}{2 x^{2}} = \frac{3}{x}$
226792	Solve for t	r=r_0+1/2at^2	$r = r_{0} + \frac{1}{2} a t^{2}$
226793	Find the Exact Value	csc((-pi)/3)	$\csc (\frac{- π}{3})$
226794	Simplify	(p^2r^0)/(p^0r^3)	$\frac{p^{2} r^{0}}{p^{0} r^{3}}$
226795	Solve Using the Quadratic Formula	4x^2=x	$4 x^{2} = x$
226796	Find the Axis of Symmetry	x=3(y+4)^2-9	$x = 3 {(y + 4)}^{2} - 9$
226797	Evaluate	21+74*10^(-0.03(10))	$21 + 74 \cdot 10^{- 0.03 (10)}$
226798	Multiply	5x^2+x and 4x^3+2x^2-4x	$5 x^{2} + x$ and $4 x^{3} + 2 x^{2} - 4 x$
226799	Find the Degree	(p^5q^4)/9+q	$\frac{p^{5} q^{4}}{9} + q$
226800	Solve the System of Equations	x-2y=-19 and -3x+5y=48	$x - 2 y = - 19$ and $- 3 x + 5 y = 48$