Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214101	Solve for n	-8.4e^(n+2.7)=-15	$- 8.4 e^{n + 2.7} = - 15$
214102	Simplify	square root of 5* square root of 4* square root of 9	$\sqrt{5} \cdot \sqrt[2]{4} \cdot \sqrt{9}$
214103	Evaluate	log base 6 of 36+ log base 4 of 4+ log base 3 of 1/27	$\log_{6} (36) + \log_{4} (4) + \log_{3} (\frac{1}{27})$
214104	Solve for x	2x^4-5x^3+10x^2-9=0	$2 x^{4} - 5 x^{3} + 10 x^{2} - 9 = 0$
214105	Evaluate	3^(9x)=3^(7x+8)	$3^{9 x} = 3^{7 x + 8}$
214106	Solve for y	limit as x approaches -1 of (x^2+yx+z)/(x^2-1)=3	$lim_{x \to - 1} \frac{x^{2} + y x + z}{x^{2} - 1} = 3$
214107	Solve for x	3x^2(2x+3)=0	$3 x^{2} (2 x + 3) = 0$
214108	Find the Excluded Values	(2x^2)/(3x^2-4x)	$\frac{2 x^{2}}{3 x^{2} - 4 x}$
214109	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+5x^2+14x+16 is divided by x+2	Use the long division method to find the result when $x^{3} + 5 x^{2} + 14 x + 16$ is divided by $x + 2$
214110	Solve for a	1/a-1/b=1/c	$\frac{1}{a} - \frac{1}{b} = \frac{1}{c}$
214111	Divide	( square root of 20)÷( square root of 5)	$\sqrt{20} \div \sqrt{5}$
214112	Simplify	(4+i^2)+(9+i^3)	$(4 + i^{2}) + (9 + i^{3})$
214113	Solve for x	x^2+(( square root of 3)/2)^2=1	$x^{2} + {(\frac{\sqrt{3}}{2})}^{2} = 1$
214114	Find the Holes in the Graph	y=(x^2-2)/(x+2)	$y = \frac{x^{2} - 2}{x + 2}$
214115	Expand the Logarithmic Expression	natural log of square root of (6x)/(x-6)	$\ln (\sqrt{\frac{6 x}{x - 6}})$
214116	Simplify	square root of (21x)/(6y)	$\sqrt{\frac{21 x}{6 y}}$
214117	Simplify	(7x^2y^2+12xy^2-3x^2y+11)+(4xy-13x^2y+7)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (4 x y - 13 x^{2} y + 7)$
214118	Solve for c	\|(4c)/5+6\|-6=-5	$\| \frac{4 c}{5} + 6 \| - 6 = - 5$
214119	Simplify	(5x^-6y^-2)/y	$\frac{5 x^{- 6} y^{- 2}}{y}$
214120	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-3x^2-4x+2 is divided by x+1	Use synthetic division to find the result when $3 x^{3} - 3 x^{2} - 4 x + 2$ is divided by $x + 1$
214121	Divide	( cube root of 135)/( cube root of 40)	$\frac{\sqrt[3]{135}}{\sqrt[3]{40}}$
214122	Simplify	1/2(85x-25(x-2))	$\frac{1}{2} (85 x - 25 (x - 2))$
214123	Solve for x	2x+3/(x-1)=(3x)/(x-1)	$2 x + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
214124	Graph	1/2x+8<=3	$\frac{1}{2} x + 8 \leq 3$
214125	Simplify	9x^4-2x^2+7x-8x^3+x^5-4	$9 x^{4} - 2 x^{2} + 7 x - 8 x^{3} + x^{5} - 4$
214126	Write in Standard Form	(2c+5d)^3	${(2 c + 5 d)}^{3}$
214127	Evaluate	(10^(x/6))(10^(x/8))=10^10	$(10^{\frac{x}{6}}) (10^{\frac{x}{8}}) = 10^{10}$
214128	Simplify	(x^(3/5))^(-1/2)	${(x^{\frac{3}{5}})}^{- \frac{1}{2}}$
214129	Solve for x	1/4(x+2)^(1/3)-5=-4	$\frac{1}{4} {(x + 2)}^{\frac{1}{3}} - 5 = - 4$
214130	Solve for x	square root of (x-2)*(x+3)+4=2	$\sqrt{(x - 2) \cdot (x + 3) + 4} = 2$
214131	Simplify	(x^3)/((2x^2)*(3x^2))	$\frac{x^{3}}{(2 x^{2}) \cdot (3 x^{2})}$
214132	Plot	y>x+3	$y > x + 3$
214133	Solve the Inequality for x	1/(\|2x-3\|)>2	$\frac{1}{\| 2 x - 3 \|} > 2$
214134	Graph	y=5+ square root of -x	$y = 5 + \sqrt{- x}$
214135	Find the Exact Value	12tan(pi/4)^2+24sec(pi/4)^2	$12 \tan^{2} (\frac{π}{4}) + 24 \sec^{2} (\frac{π}{4})$
214136	Subtract	11 cube root of 135-4 cube root of 5	$11 \sqrt[3]{135} - 4 \sqrt[3]{5}$
214137	Factor	Factor x^2+11x+24	Factor $x^{2} + 11 x + 24$
214138	Find the Exact Value	sin((5pi)/4)cos(-(11pi)/6)	$\sin (\frac{5 π}{4}) \cos (- \frac{11 π}{6})$
214139	Find the Exact Value	fourth root of 25^2	$\sqrt[4]{25^{2}}$
214140	Solve the Inequality for c	c-5>=4	$c - 5 \geq 4$
214141	Solve for x	(tan(x)+ square root of 3)(2sin(x)-1)=0	$(\tan (x) + \sqrt{3}) (2 \sin (x) - 1) = 0$
214142	Simplify	(9r)/(r^2-4)-(8r+1)/(r^2-4r+4)	$\frac{9 r}{r^{2} - 4} - \frac{8 r + 1}{r^{2} - 4 r + 4}$
214143	Factor	2kx+4mx-2nx-3ky-6my+3ny	$2 k x + 4 m x - 2 n x - 3 k y - 6 m y + 3 n y$
214144	Solve for x	-4(2x-5)-(7-3x)=4(x+3)	$- 4 (2 x - 5) - (7 - 3 x) = 4 (x + 3)$
214145	Solve for u	(100-4u)/3=(5u+6)/4+6	$\frac{100 - 4 u}{3} = \frac{5 u + 6}{4} + 6$
214146	Convert to a Decimal	5.5rad	$5.5$ radians
214147	Divide	(8x+4+3x^2)/(3x+2)	$\frac{8 x + 4 + 3 x^{2}}{3 x + 2}$
214148	Simplify	((x^2+x-12)/(x^2-x-20))÷((3x^2-24x+45)/(12x^2-48x-60))	$\frac{x^{2} + x - 12}{x^{2} - x - 20} \div \frac{3 x^{2} - 24 x + 45}{12 x^{2} - 48 x - 60}$
214149	Subtract	(7v-v^2+14)-(15+8v+v^2)	$(7 v - v^{2} + 14) - (15 + 8 v + v^{2})$
214150	Find the Exact Value	2sec(pi/4)+4cot(pi/3)	$2 \sec (\frac{π}{4}) + 4 \cot (\frac{π}{3})$
214151	Graph	x>=3 y>=2x-1	$x \geq 3$ $y \geq 2 x - 1$
214152	Solve in Terms of the Arbitrary Variable Sₙ	S_n=120 , n=8 , a_n=36	$S_{n} = 120$ , $n = 8$ , $a_{n} = 36$
214153	Solve the Inequality for m	m+1/5<-1 2/3	$m + \frac{1}{5} < - 1 \frac{2}{3}$
214154	Solve for v	-9 1/2+v=8/9	$- 9 \frac{1}{2} + v = \frac{8}{9}$
214155	Simplify the Radical Expression	fourth root of 3/8	$\sqrt[4]{\frac{3}{8}}$
214156	Evaluate	( square root of 3)/2*(-2/1)	$\frac{\sqrt{3}}{2} \cdot (- \frac{2}{1})$
214157	Simplify	(a+b-(2ab)/(a+b))÷((a-b)/(a+b)+b/a)	$(a + b - \frac{2 a b}{a + b}) \div (\frac{a - b}{a + b} + \frac{b}{a})$
214158	Solve for y	(0.75)(5y)-y=8.25	$(0.75) (5 y) - y = 8.25$
214159	Find the Domain and Range	1/2 cube root of x+6	$\frac{1}{2} \sqrt[3]{x + 6}$
214160	Solve the Inequality for x	6 square root of x-1<=18	$6 \sqrt{x - 1} \leq 18$
214161	Simplify	((2x^-5)/(12y^-3))^0	${(\frac{2 x^{- 5}}{12 y^{- 3}})}^{0}$
214162	Simplify the Radical Expression	square root of 2/50	$\sqrt{\frac{2}{50}}$
214163	Evaluate	i^25i^23i^33	$i^{25} \cdot i^{23} \cdot i^{33}$
214164	Solve the Inequality for x	2/(x+4)>=1/(x+1)	$\frac{2}{x + 4} \geq \frac{1}{x + 1}$
214165	Evaluate	2-pi/2	$2 - \frac{π}{2}$
214166	Find the Equation Given the Roots	-1 , -1 , 2i	$- 1$ , $- 1$ , $2 i$
214167	Solve for y	2/(y+2)-y/(2-y)=(y^2+4)/(y^2-4)	$\frac{2}{y + 2} - \frac{y}{2 - y} = \frac{y^{2} + 4}{y^{2} - 4}$
214168	Solve the System of Equations	2x=-10y+6 and x+5y=3	$2 x = - 10 y + 6$ and $x + 5 y = 3$
214169	Solve for x	6/2=4/x	$\frac{6}{2} = \frac{4}{x}$
214170	Solve for h	V=Lwh for h	$V = L w h$ for $h$
214171	Solve for x	(5x/6)(5x/2)=5^16	$(5 \frac{x}{6}) (5 \frac{x}{2}) = 5^{16}$
214172	Graph	y=9^1-x^2	$y = 9^{1} - x^{2}$
214173	Find the Roots (Zeros)	P(x)=2x^4+2x^3+2x^2+15x-9	$P (x) = 2 x^{4} + 2 x^{3} + 2 x^{2} + 15 x - 9$
214174	Solve for Z	Z^2=49	$Z^{2} = 49$
214175	Simplify	(2^4*6^4)^(-1/4)	${(2^{4} \cdot 6^{4})}^{- \frac{1}{4}}$
214176	Simplify	(3x^6b^5)/7*14/(15x^7b^3)	$\frac{3 x^{6} b^{5}}{7} \cdot \frac{14}{15 x^{7} b^{3}}$
214177	Solve by Addition/Elimination	y=4+x y=-5x+16	$y = 4 + x$ $y = - 5 x + 16$
214178	Find the Degree, Leading Term, and Leading Coefficient	x/9-1	$\frac{x}{9} - 1$
214179	Solve the Inequality for x	-2<8-2x<=-1	$- 2 < 8 - 2 x \leq - 1$
214180	Multiply	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
214181	Solve Using the Quadratic Formula	x^2+x=7x+16	$x^{2} + x = 7 x + 16$
214182	Simplify	(2-i)/5(i+2)	$\frac{2 - i}{5} (i + 2)$
214183	Solve the System of Equations	y=x^2-2x+2 x+y=1	$y = x^{2} - 2 x + 2$ $x + y = 1$
214184	Solve for c	25c^2-5c-16=-4	$25 c^{2} - 5 c - 16 = - 4$
214185	Solve for x	4(x+1 1/3)=9 2/3	$4 (x + 1 \frac{1}{3}) = 9 \frac{2}{3}$
214186	Evaluate	e^-4*e^6	$e^{- 4} \cdot e^{6}$
214187	Simplify	5t+(t-3)-((7t+5)-(8-3t))	$5 t + (t - 3) - ((7 t + 5) - (8 - 3 t))$
214188	Solve the System of Inequalities	y>-7 y>9/2x+2	$y > - 7$ $y > \frac{9}{2} x + 2$
214189	Solve for x	csc(x)+cot(x)=( square root of 3)/3	$\csc (x) + \cot (x) = \frac{\sqrt{3}}{3}$
214190	Simplify	((-3x^4yz^-2)^2)/(3x^5y^2z)	$\frac{{(- 3 x^{4} y z^{- 2})}^{2}}{3 x^{5} y^{2} z}$
214191	Find the Domain and Range	y=cot(x+pi/4)	$y = \cot (x + \frac{π}{4})$
214192	Solve for P	P=6.76^(3/2)	$P = {6.76}^{\frac{3}{2}}$
214193	Simplify the Radical Expression	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
214194	Simplify	(7+ square root of 12)(7- square root of 12)	$(7 + \sqrt{12}) (7 - \sqrt{12})$
214195	Simplify the Radical Expression	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
214196	Simplify	(5 square root of 40+6 square root of 90)/(2 square root of 2)	$\frac{5 \sqrt{40} + 6 \sqrt{90}}{2 \sqrt{2}}$
214197	Simplify	cot(theta)sin(theta)cos(theta)	$\cot (θ) \sin (θ) \cos (θ)$
214198	Simplify	3yz^2*5y^2z	$3 y z^{2} \cdot 5 y^{2} z$
214199	Simplify	((2a+3b)/(2a)+(2a-3b)/(3b))^2-((2a+3b)/(2a)-(2a-3b)/(3b))^2	${(\frac{(2 a + 3 b)}{2 a} + \frac{(2 a - 3 b)}{3 b})}^{2} - {(\frac{(2 a + 3 b)}{2 a} - \frac{(2 a - 3 b)}{3 b})}^{2}$
214200	Write in Standard Form	(2x^2-6x-2)+(x^2+4x)	$(2 x^{2} - 6 x - 2) + (x^{2} + 4 x)$