Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231001	Solve the Inequality for x	log base 1/5 of 5x-1>=0	$\log_{\frac{1}{5}} (5 x - 1) \geq 0$
231002	Evaluate	-3a(5b-c)	$- 3 a (5 b - c)$
231003	Simplify	( fourth root of 16x^2y^4)/(2xy^5)	$\frac{\sqrt[4]{16 x^{2} y^{4}}}{2 x y^{5}}$
231004	Simplify	(-3x^5y^(1/3))^3	${(- 3 x^{5} y^{\frac{1}{3}})}^{3}$
231005	Simplify	((6x^2y)/z)÷((3xy^2)/z)	$\frac{6 x^{2} y}{z} \div \frac{3 x y^{2}}{z}$
231006	Factor	4k^2+7jk-2j^2	$4 k^{2} + 7 j k - 2 j^{2}$
231007	Graph	y=-2/3(x+2)-5	$y = - \frac{2}{3} (x + 2) - 5$
231008	Simplify	(3-x^2)+(x^2-4)	$(3 - x^{2}) + (x^{2} - 4)$
231009	Evaluate	square root of -5-b = square root of 5b+25	$\sqrt{- 5 - b} = \sqrt{5 b + 25}$
231010	Evaluate	2^3(3*5^2+2^5)	$2^{3} (3 \times 5^{2} + 2^{5})$
231011	Simplify	(x^(1/2)*x^2y^(4/3))^(3/2)	${(x^{\frac{1}{2}} \cdot x^{2} y^{\frac{4}{3}})}^{\frac{3}{2}}$
231012	Simplify	(- square root of -6)/( square root of 18+ square root of -4)	$\frac{- \sqrt{- 6}}{\sqrt{18} + \sqrt{- 4}}$
231013	Solve the Inequality for c	c+3>8	$c + 3 > 8$
231014	Solve for x	3x-12=24-(-12)	$3 x - 12 = 24 - (- 12)$
231015	Divide	( square root of 3)÷( cube root of 2)	$\sqrt{3} \div \sqrt[3]{2}$
231016	Evaluate	(x*x^-4)/(x^3)	$\frac{x \cdot x^{- 4}}{x^{3}}$
231017	Solve the Inequality for x	tan(x)<0	$\tan (x) < 0$
231018	Solve for y	\|y-3\|=2y-10	$\| y - 3 \| = 2 y - 10$
231019	Simplify	(ab^b)^b	${(a b^{b})}^{b}$
231020	Simplify	( cube root of 625z)( cube root of 162z^6)	$(\sqrt[3]{625 z}) (\sqrt[3]{162 z^{6}})$
231021	Simplify	(r^12s^9)1/3	$(r^{12} s^{9}) \frac{1}{3}$
231022	Solve the System of Inequalities	y>-x+4 y>1/2x+1	$y > - x + 4$ $y > \frac{1}{2} x + 1$
231023	Simplify	(1/(2x^3))÷(9/(7x^2))	$\frac{1}{2 x^{3}} \div \frac{9}{7 x^{2}}$
231024	Evaluate	4(u-2)-3u=2(u-6)	$4 (u - 2) - 3 u = 2 (u - 6)$
231025	Solve the Inequality for w	(w+5)/4<=-2	$\frac{w + 5}{4} \leq - 2$
231026	Subtract	(x^2-6x+5)-(2x^2+x+1)	$(x^{2} - 6 x + 5) - (2 x^{2} + x + 1)$
231027	Convert to Radical Form	(27/125)^(-1/3)	${(\frac{27}{125})}^{\frac{- 1}{3}}$
231028	Solve the System of Equations	y=1/4(x-3)^2 3x-2y=13	$y = \frac{1}{4} {(x - 3)}^{2}$ $3 x - 2 y = 13$
231029	Simplify	-(2-2x)/6	$- \frac{2 - 2 x}{6}$
231030	Find the Degree	4ab^2-2ab+6bc^2	$4 a b^{2} - 2 a b + 6 b c^{2}$
231031	Find the Domain and Range	y=2sin(x+pi/3)	$y = 2 \sin (x + \frac{π}{3})$
231032	Solve the Inequality for x	2+2(2x-6/5)>-2x-1	$2 + 2 (2 x - \frac{6}{5}) > - 2 x - 1$
231033	Solve for x	(3^x)^(x+2)=1/3	${(3^{x})}^{x + 2} = \frac{1}{3}$
231034	Evaluate	2*(3g-18h)	$2 \cdot (3 g - 18 h)$
231035	Simplify	10 square root of 11(4 square root of 6+7)	$10 \sqrt{11} (4 \sqrt{6} + 7)$
231036	Find the Roots (Zeros)	7x^4=56	$7 x^{4} = 56$
231037	Simplify	11x+2x^2--7x-3x^2+4	$11 x + 2 x^{2} - - 7 x - 3 x^{2} + 4$
231038	Graph	2x-y<6 y>=3/2x+1	$2 x - y < 6$ $y \geq \frac{3}{2} x + 1$
231039	Find the LCM	3 and 2	$3$ and $2$
231040	Graph	g(x)=x^(1/3)-3	$g (x) = x^{\frac{1}{3}} - 3$
231041	Simplify	4x^3+2x^2-3x^3+2x^0+3x^2	$4 x^{3} + 2 x^{2} - 3 x^{3} + 2 x^{0} + 3 x^{2}$
231042	Evaluate	what is 45% of 60	what is $45 %$ of $60$
231043	Find the Slope and y-intercept	y=4+x	$y = 4 + x$
231044	Simplify the Radical Expression	cube root of square root of 243x^12	$\sqrt[3]{\sqrt{243 x^{12}}}$
231045	Graph	1/5 square root of x-3	$\frac{1}{5} \sqrt{x - 3}$
231046	Simplify	square root of 64a^4b^5- cube root of 64a^5b^4	$\sqrt{64 a^{4} b^{5}} - \sqrt[3]{64 a^{5} b^{4}}$
231047	Solve for x	log base x of 64x=4	$\log_{x} (64 x) = 4$
231048	Simplify	( square root of 4xy^5)/(xy^4)	$\frac{\sqrt{4 x y^{5}}}{x y^{4}}$
231049	Write in Standard Form	x^7y^2+4x^3y+10x^3	$x^{7} y^{2} + 4 x^{3} y + 10 x^{3}$
231050	Solve the Inequality for r	8-3r<=5-2r	$8 - 3 r \leq 5 - 2 r$
231051	Simplify the Radical Expression	10 square root of 7+12 square root of 7-8 square root of 7+ square root of 7	$10 \sqrt{7} + 12 \sqrt{7} - 8 \sqrt{7} + \sqrt{7}$
231052	Solve for x	0=1+ natural log of x	$0 = 1 + \ln (x)$
231053	Solve for C	C=2pi*4	$C = 2 π \cdot 4$
231054	Solve the Inequality for x	(x+4)/(2x-1)<=3	$\frac{x + 4}{2 x - 1} \leq 3$
231055	Solve for x	3 log base 3 of 27+9 log base 3 of x=3 log base 3 of 729	$3 \log_{3} (27) + 9 \log_{3} (x) = 3 \log_{3} (729)$
231056	Evaluate	(x^-7)/(x^6*x^-5)	$\frac{x^{- 7}}{x^{6} \cdot x^{- 5}}$
231057	Simplify	((3x+6)/(x-4))÷((2x^2+9x+10)/(x^2-4x))	$\frac{3 x + 6}{x - 4} \div \frac{2 x^{2} + 9 x + 10}{x^{2} - 4 x}$
231058	Solve for x	3(4^(-3x-1))=48	$3 (4^{- 3 x - 1}) = 48$
231059	Graph	Graph 16x-4y=2	Graph $16 x - 4 y = 2$
231060	Solve for c	4^c=1	$4^{c} = 1$
231061	Solve for z	square root of z=-7	$\sqrt{z} = - 7$
231062	Solve for x	log base 2 of 8x-x^2=4	$\log_{2} (8 x - x^{2}) = 4$
231063	Evaluate	(1/3)÷(1/2)+1/2*3/5	$\frac{1}{3} \div \frac{1}{2} + \frac{1}{2} \cdot \frac{3}{5}$
231064	Solve for x	3 square root of 5x-2+1=7	$3 \sqrt{5 x - 2} + 1 = 7$
231065	Simplify	((a^3b)^-2)/(a^4)	$\frac{{(a^{3} b)}^{- 2}}{a^{4}}$
231066	Solve for f	f(2)=-2 , f(1)=1	$f (2) = - 2$ , $f (1) = 1$
231067	Evaluate	3/(4^2)+5/(2^3)	$\frac{3}{4^{2}} + \frac{5}{2^{3}}$
231068	Find the Product	xy(5x^2+8x-7)	$x y (5 x^{2} + 8 x - 7)$
231069	Solve by Factoring	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
231070	Solve for k	k^2+k-21=-3	$k^{2} + k - 21 = - 3$
231071	Find the Inverse	f(x)=5((x^7)/7)^(1/5)	$f (x) = 5 {(\frac{x^{7}}{7})}^{\frac{1}{5}}$
231072	Simplify	(18x^-5)/(-3x^-3)	$\frac{18 x^{- 5}}{- 3 x^{- 3}}$
231073	Graph Using a Table of Values	y=1/2 square root of x	$y = \frac{1}{2} \sqrt{x}$
231074	Evaluate	fourth root of 3^3* square root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt{3^{5}}$
231075	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-17x^2+12x-10 is divided by x-5	Use synthetic division to find the result when $3 x^{3} - 17 x^{2} + 12 x - 10$ is divided by $x - 5$
231076	Find the Holes in the Graph	(2x^2-2x-40)/(2x^2-14x+20)	$\frac{2 x^{2} - 2 x - 40}{2 x^{2} - 14 x + 20}$
231077	Solve for x	4/(x^2-4)-1/(x+2)=(x-1)/(x-2)	$\frac{4}{x^{2} - 4} - \frac{1}{x + 2} = \frac{x - 1}{x - 2}$
231078	Evaluate	\|x-1\|>=3	$\| x - 1 \| \geq 3$
231079	Graph	(e^x+e^(-x))/2	$\frac{e^{x} + e^{- x}}{2}$
231080	Find the Exact Value	tan(45 degrees )^2-cos(30 degrees )	$\tan^{2} (45 °) - \cos (30 °)$
231081	Rationalize the Denominator	((2n)/(6n+4))((3n+2)/(3n-2))	$(\frac{2 n}{6 n + 4}) (\frac{3 n + 2}{3 n - 2})$
231082	Simplify	(5v)/2-(v-3)/(2v^2-6v)	$\frac{5 v}{2} - \frac{v - 3}{2 v^{2} - 6 v}$
231083	Simplify	(-3x^4+6x^3-11x^2+5)-(5x^4+2x^3-x)	$(- 3 x^{4} + 6 x^{3} - 11 x^{2} + 5) - (5 x^{4} + 2 x^{3} - x)$
231084	Evaluate	x^x = ninth root of 1/3	$x^{x} = \sqrt[9]{\frac{1}{3}}$
231085	Divide Using Synthetic Division	4x^3-26x^2-17x+21 divided by x-7	$4 x^{3} - 26 x^{2} - 17 x + 21$ divided by $x - 7$
231086	Evaluate	5(3--2)	$5 (3 - - 2)$
231087	Solve for z	3/4(z+11)=27	$\frac{3}{4} (z + 11) = 27$
231088	Find the Domain and Range	y=arcsec(7x-1/2)	$y = arcsec (7 x - \frac{1}{2})$
231089	Solve for x	-2xe^(-x)+2e^(-x)=0	$- 2 x e^{- x} + 2 e^{- x} = 0$
231090	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+11x^2+20x+21 is divided by 2x+7	Use the long division method to find the result when $2 x^{3} + 11 x^{2} + 20 x + 21$ is divided by $2 x + 7$
231091	Simplify	((3x^2-9x)/(x-2))÷((x^2-9)/(4x-8))	$\frac{3 x^{2} - 9 x}{x - 2} \div \frac{x^{2} - 9}{4 x - 8}$
231092	Find the Exact Value	(36^(1/2))^2	${(36^{\frac{1}{2}})}^{2}$
231093	Find the Inverse	f(x)=- square root of x+2 ; for x>=-2	$f (x) = - \sqrt{x + 2}$ ; for $x \geq - 2$
231094	Divide Using Synthetic Division	(x^7+x^5-10x^3+12)/(x+2)	$\frac{x^{7} + x^{5} - 10 x^{3} + 12}{x + 2}$
231095	Evaluate	f(x)( cube root of 64x^6)/(x^5)	$f (x) \frac{\sqrt[3]{64 x^{6}}}{x^{5}}$
231096	Simplify	(5^-2x^-9)/(4^-2y^5z^-2)	$\frac{5^{- 2} x^{- 9}}{4^{- 2} y^{5} z^{- 2}}$
231097	Find the x and y Intercepts	What is the y-intercept of the equation 10x+3y=12 ?	What is the y-intercept of the equation $10 x + 3 y = 12$ ?
231098	Find the Product	(x-y+1)(x-y-1)	$(x - y + 1) (x - y - 1)$
231099	Simplify	(7-6n^2-5n^3+8n)+(3n-3n^3-7+2n^4)	$(7 - 6 n^{2} - 5 n^{3} + 8 n) + (3 n - 3 n^{3} - 7 + 2 n^{4})$
231100	Graph	(y+6)=-3/2(x-8)	$(y + 6) = - \frac{3}{2} (x - 8)$