Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207001	Determine if a Polynomial	- square root of 2	$- \sqrt{2}$
207002	Simplify the Radical Expression	-4 square root of 3+ square root of 3	$- 4 \sqrt{3} + \sqrt{3}$
207003	Factor by Grouping	x^4-3x^3-x^2+3x	$x^{4} - 3 x^{3} - x^{2} + 3 x$
207004	Simplify	(3x)/(x-6)+(6x)/(4x-24)	$\frac{3 x}{x - 6} + \frac{6 x}{4 x - 24}$
207005	Solve the Absolute Value Inequality for w	\|5w+8\|=\|5w+7\|	$\| 5 w + 8 \| = \| 5 w + 7 \|$
207006	Write as a Single Logarithm	2 log base b of u+3 log base b of v-1/2 log base b of w	$2 \log_{b} (u) + 3 \log_{b} (v) - \frac{1}{2} \log_{b} (w)$
207007	Simplify	(x+2)/3+4x	$\frac{x + 2}{3} + 4 x$
207008	Solve for x	1=(3+x)^(1/2)	$1 = {(3 + x)}^{\frac{1}{2}}$
207009	Simplify	(3x-1)(4x+3)(x-1)	$(3 x - 1) (4 x + 3) (x - 1)$
207010	Find the Exact Value	cos(pi/4)-cos(pi/4)	$\cos (\frac{π}{4}) - \cos (\frac{π}{4})$
207011	Evaluate Using the Given Value	x+5 if x=4	$x + 5$ if $x = 4$
207012	Simplify	3-(2x-(1-(x+y))+(x-2y))	$3 - (2 x - (1 - (x + y)) + (x - 2 y))$
207013	Simplify	square root of 6x^4*5 square root of 8x^5	$\sqrt{6 x^{4}} \cdot 5 \sqrt{8 x^{5}}$
207014	Evaluate	1/( log base 2 of 30)+1/( log base 3 of 30)+1/( log base 5 of 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
207015	Solve for x	4(x-2)^2+320=0	$4 {(x - 2)}^{2} + 320 = 0$
207016	Simplify the Radical Expression	square root of 2^4	$\sqrt{2^{4}}$
207017	Find the Roots (Zeros)	x^4-5x^3+3x^2+x	$x^{4} - 5 x^{3} + 3 x^{2} + x$
207018	Solve the Rational Equation for X	3 square root of X=5	$3 \sqrt{X} = 5$
207019	Simplify	(x^0y^2)/((xy^4)^-3)	$\frac{x^{0} y^{2}}{{(x y^{4})}^{- 3}}$
207020	Find the Roots (Zeros)	square root of x^2=3	$\sqrt{x^{2}} = 3$
207021	Solve the Inequality for r	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
207022	Graph	f(x)=-x^6+x^5-5x^4-x^3+3x^2-x	$f (x) = - x^{6} + x^{5} - 5 x^{4} - x^{3} + 3 x^{2} - x$
207023	Identify the Zeros and Their Multiplicities	f(x)=-x^4-9x^3-24x^2-16x	$f (x) = - x^{4} - 9 x^{3} - 24 x^{2} - 16 x$
207024	Solve for x	1/4(x-2)=3/5x+1/2	$\frac{1}{4} (x - 2) = \frac{3}{5} x + \frac{1}{2}$
207025	Solve for r	5r-11s=k	$5 r - 11 s = k$
207026	Find the Vertex Form	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
207027	Solve for x	5/(x-3)+8/(3x+5)=2/(4x-12)	$\frac{5}{x - 3} + \frac{8}{3 x + 5} = \frac{2}{4 x - 12}$
207028	Convert to Radical Form	(125)^(-1/3)	${(125)}^{\frac{- 1}{3}}$
207029	Find the x and y Intercepts	f(x)=x^3-4x^2+x+6	$f (x) = x^{3} - 4 x^{2} + x + 6$
207030	Solve the System of Equations	y=x-5 2x+y=-2	$y = x - 5$ $2 x + y = - 2$
207031	Factor	kn-mn-n^2+mk	$k n - m n - n^{2} + m k$
207032	Simplify	(4x+3/4)+(-3x-5/12)	$(4 x + \frac{3}{4}) + (- 3 x - \frac{5}{12})$
207033	Simplify	(-3)(-1/5x)(-25)	$(- 3) (- \frac{1}{5} x) (- 25)$
207034	Simplify	x^0+y^0+z^0	$x^{0} + y^{0} + z^{0}$
207035	Solve for r	cube root of 7r+2 = cube root of 9r-24	$\sqrt[3]{7 r + 2} = \sqrt[3]{9 r - 24}$
207036	Solve for t	2cos(3t)=-1	$2 \cos (3 t) = - 1$
207037	Solve for x	x-3=2x-3-x	$x - 3 = 2 x - 3 - x$
207038	Multiply	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
207039	Factor	-1/2(32x-40)+(20x-4)	$- \frac{1}{2} (32 x - 40) + (20 x - 4)$
207040	Simplify	( square root of 8- square root of 3)/( square root of 6-2)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{6} - 2}$
207041	Simplify	cube root of (x^2)/(9y)	$\sqrt[3]{\frac{x^{2}}{9 y}}$
207042	Solve for x	(12+2x)/2=13	$\frac{12 + 2 x}{2} = 13$
207043	Solve by Factoring	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
207044	Simplify	(x^(3/2)y^(-1/4))/(x^(3/4)y^(3/4))	$\frac{x^{\frac{3}{2}} y^{- \frac{1}{4}}}{x^{\frac{3}{4}} y^{\frac{3}{4}}}$
207045	Simplify the Radical Expression	-1/(3 square root of 2)	$- \frac{1}{3 \sqrt{2}}$
207046	Solve the Inequality for m	-7/8<=m-13/8	$- \frac{7}{8} \leq m - \frac{13}{8}$
207047	Solve for x	64=4*4^(4x)	$64 = 4 \cdot 4^{4 x}$
207048	Simplify	subtract -9x-7 from 8x^2-5x+9	subtract $- 9 x - 7$ from $8 x^{2} - 5 x + 9$
207049	Simplify	(1-sin(theta)^2)(1+tan(theta)^2)	$(1 - \sin^{2} (θ)) (1 + \tan^{2} (θ))$
207050	Solve for x	e^(-6x)=(e^8)^(x+14)	$e^{- 6 x} = {(e^{8})}^{x + 14}$
207051	Rationalize the Denominator	fifth root of (5m^7)/(16m^2)	$\sqrt[5]{\frac{5 m^{7}}{16 m^{2}}}$
207052	Solve for x	2(x^2-12x-4)^(1/2)-3=15	$2 {(x^{2} - 12 x - 4)}^{\frac{1}{2}} - 3 = 15$
207053	Simplify	(8xy^3*2x^3y^4)/((-7x^3y)^2-x^6y^2)	$\frac{8 x y^{3} \cdot 2 x^{3} y^{4}}{{(- 7 x^{3} y)}^{2} - x^{6} y^{2}}$
207054	Simplify	-(16^0x^9y^3)/(96x^4y^5)	$- \frac{16^{0} x^{9} y^{3}}{96 x^{4} y^{5}}$
207055	Evaluate	2/1-1^2	$\frac{2}{1} - 1^{2}$
207056	Simplify	(5/7x-1/3y)(5/7x+1/3y)	$(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)$
207057	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+11x^2+9x+2 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 9 x + 2$ is divided by $3 x + 1$
207058	Simplify	-2+6.45z-6+(-3.25z)	$- 2 + 6.45 z - 6 + (- 3.25 z)$
207059	Simplify	( square root of a^5)/( cube root of a^2)	$\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{2}}}$
207060	Solve for H	w=Q/(H-Q)	$w = \frac{Q}{H - Q}$
207061	Evaluate	8-4*3(-2)^3	$8 - 4 \cdot 3 {(- 2)}^{3}$
207062	Find the Roots (Zeros)	x^4-5x^3+x^2+3x=0	$x^{4} - 5 x^{3} + x^{2} + 3 x = 0$
207063	Solve the Inequality for x	1/3(x-6)>2	$\frac{1}{3} (x - 6) > 2$
207064	Simplify	1/(-2/3)	$\frac{1}{- \frac{2}{3}}$
207065	Simplify	4n(2n^3p^2-3np^2+5n)+4p(6n^2p-2np^2+3p)	$4 n (2 n^{3} p^{2} - 3 n p^{2} + 5 n) + 4 p (6 n^{2} p - 2 n p^{2} + 3 p)$
207066	Solve for x	4x^(6/5)-16x^(4/5)=0	$4 x^{\frac{6}{5}} - 16 x^{\frac{4}{5}} = 0$
207067	Write in Exponential Form	square root of x^3 cube root of y	$\sqrt{x^{3}} \sqrt[3]{y}$
207068	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,6) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 1, 6)$ and has a slope of $1$ ?
207069	Find the Exact Value	arcsin(cos(-pi/4))	$\arcsin (\cos (- \frac{π}{4}))$
207070	Find the Inverse	f(x)=1/2(x+3)^2-4	$f (x) = \frac{1}{2} {(x + 3)}^{2} - 4$
207071	Simplify	x+5<=-4	$x + 5 \leq - 4$
207072	Evaluate	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div \frac{- 2}{3} - \frac{5}{6}$
207073	Simplify	(3c^2d(2c^3d^5))/(15c^4d^2)	$\frac{3 c^{2} d (2 c^{3} d^{5})}{15 c^{4} d^{2}}$
207074	Write the Fraction in Simplest Form	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
207075	Solve for x	square root of 3x-3 = square root of x+12	$\sqrt{3 x - 3} = \sqrt{x + 12}$
207076	Write in Exponential Form	fourth root of fifth root of x	$\sqrt[4]{\sqrt[5]{x}}$
207077	Simplify the Radical Expression	(2^(2/3)*16^(2/3))/(4^(2/3))	$\frac{2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}}{4^{\frac{2}{3}}}$
207078	Solve the Inequality for t	24<=-6t	$24 \leq - 6 t$
207079	Subtract	(6y^2+8y^4-5y)-(9y^4-7y+2y^2)	$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$
207080	Simplify the Radical Expression	( square root of 40x^5)/( square root of 10x)	$\frac{\sqrt{40 x^{5}}}{\sqrt{10 x}}$
207081	Simplify	20+13x-5+5x+9	$20 + 13 x - 5 + 5 x + 9$
207082	Simplify	3/4x+9(1/4x+2)	$\frac{3}{4} x + 9 (\frac{1}{4} x + 2)$
207083	Solve the Rational Equation for x	square root of 11-x = square root of x-7	$\sqrt{11 - x} = \sqrt{x - 7}$
207084	Simplify	x-9/(x-3)-3	$x - \frac{9}{x - 3} - 3$
207085	Solve for x	2^x=2^(2x)-12	$2^{x} = 2^{2 x} - 12$
207086	Simplify	3x+2x^2-4x+3x^2-5x	$3 x + 2 x^{2} - 4 x + 3 x^{2} - 5 x$
207087	Evaluate	3^( log base 3 of 5- log base 3 of 4)	$3^{\log_{3} (5) - \log_{3} (4)}$
207088	Simplify the Radical Expression	cube root of square root of 100	$\sqrt[3]{\sqrt{100}}$
207089	Simplify	(1/4x-3)+(3/16x+5)	$(\frac{1}{4} x - 3) + (\frac{3}{16} x + 5)$
207090	Solve Using the Quadratic Formula	4(5x+9)^2-17=7	$4 {(5 x + 9)}^{2} - 17 = 7$
207091	Graph	y<=1/2x+2 y>=5x	$y \leq \frac{1}{2} x + 2$ $y \geq 5 x$
207092	Find the LCM	x^5-x , x^5-x^2 , x^5-x^3	$x^{5} - x$ , $x^{5} - x^{2}$ , $x^{5} - x^{3}$
207093	Convert to a Simplified Fraction	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
207094	Simplify	((2v)/(x^4))(-(4x^4)/(v^6))	$(\frac{2 v}{x^{4}}) (- \frac{4 x^{4}}{v^{6}})$
207095	Evaluate	x^(1/2)*x^(1/2)	$x^{\frac{1}{2}} \cdot x^{\frac{1}{2}}$
207096	Simplify	2a^(1/m)*4^ma^(5+m)	$2 a^{\frac{1}{m}} \cdot 4^{m} a^{5 + m}$
207097	Solve for x	F=kx-kx_0 for x	$F = k x - k x_{0}$ for $x$
207098	Find the Exact Value	tan(450 degrees )	$\tan (450 °)$
207099	Simplify	(5/4+( square root of 5)/2i)^2	${(\frac{5}{4} + \frac{\sqrt{5}}{2} i)}^{2}$
207100	Solve for x	15(x-1)=-5(3-x)+10x	$15 (x - 1) = - 5 (3 - x) + 10 x$