Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218101	Simplify	(m^(-3/4)n^(-1/4))/((m^2n)^(1/2))	$\frac{m^{- \frac{3}{4}} n^{- \frac{1}{4}}}{{(m^{2} n)}^{\frac{1}{2}}}$
218102	Solve for x	(x+2)+(2y-1)i=-1+5i	$(x + 2) + (2 y - 1) i = - 1 + 5 i$
218103	Evaluate	-(2c^0)^3	$- {(2 c^{0})}^{3}$
218104	Simplify	( square root of 8- square root of 2)/( square root of 2)	$\frac{\sqrt{8} - \sqrt{2}}{\sqrt{2}}$
218105	Solve for w	9/4(w-1/9)=7/2	$\frac{9}{4} (w - \frac{1}{9}) = \frac{7}{2}$
218106	Simplify	(2 square root of 4-x^2)^2	${(2 \sqrt{4 - x^{2}})}^{2}$
218107	Find the Exact Value	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
218108	Solve by Factoring	(2x-3)^2=25	${(2 x - 3)}^{2} = 25$
218109	Simplify	Simplify the expression (2x-6)/2	Simplify the expression $\frac{2 x - 6}{2}$
218110	Evaluate the Function	g(1-t)=3x^2-5x+1	$g (1 - t) = 3 x^{2} - 5 x + 1$
218111	Evaluate the Function	g(-3)=-2(-3)^3-3	$g (- 3) = - 2 {(- 3)}^{3} - 3$
218112	Graph	g(x)=-1 if x<-3; x^2-2 if -3<=x<=1; -1 if x>1	$g (x) = {\begin{cases} - 1 & x < - 3 \\ x^{2} - 2 & - 3 \leq x \leq 1 \\ - 1 & x > 1 \end{cases}$
218113	Multiply	y^2(y+5)(y-3)	$y^{2} (y + 5) (y - 3)$
218114	Simplify	((3x^3)/7)÷(4/(7x^2))	$\frac{3 x^{3}}{7} \div \frac{4}{7 x^{2}}$
218115	Simplify	(2x^3yz^0)^2	${(2 x^{3} y z^{0})}^{2}$
218116	Find All Complex Solutions	log of 5x=-1	$\log (5 x) = - 1$
218117	Simplify	((3m^-5n^2)/(4m^-2n^0))^2	${(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}})}^{2}$
218118	Solve the Inequality for x	(1/3)^x<(1/5)^x	${(\frac{1}{3})}^{x} < {(\frac{1}{5})}^{x}$
218119	Convert to a Decimal	3rev per s	$3$ revolutions per second
218120	Solve for x	x^( log of x)=10	$x^{\log (x)} = 10$
218121	Solve for x	x^3-3x^2-10x-x^2+3x+10=0	$x^{3} - 3 x^{2} - 10 x - x^{2} + 3 x + 10 = 0$
218122	Find the x and y Intercepts	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
218123	Find the Degree, Leading Term, and Leading Coefficient	x^2-1/2	$x^{2} - \frac{1}{2}$
218124	Evaluate the Function	f(-1)=-x^2+x	$f (- 1) = - x^{2} + x$
218125	Solve for k	4/(k^2-8k+12)=k/(k-2)+1/(k-6)	$\frac{4}{k^{2} - 8 k + 12} = \frac{k}{k - 2} + \frac{1}{k - 6}$
218126	Combine Like Terms	-7+3(-4e-3)	$- 7 + 3 (- 4 e - 3)$
218127	Multiply	12y*(2/3xy^4)	$12 y \cdot (\frac{2}{3} x y^{4})$
218128	Solve the System of Equations	x^2+y^2=68 5y=-3x+34	$x^{2} + y^{2} = 68$ $5 y = - 3 x + 34$
218129	Find All Complex Solutions	cos(theta)*csc(theta)-2cos(theta)=0	$\cos (θ) \cdot \csc (θ) - 2 \cos (θ) = 0$
218130	Simplify	((3x^3)^2)^-2	${({(3 x^{3})}^{2})}^{- 2}$
218131	Solve for p	p/9=-9	$\frac{p}{9} = - 9$
218132	Simplify	(5/7)^-0.65	${(\frac{5}{7})}^{- 0.65}$
218133	Simplify	x^-2y^3*y^-2	$x^{- 2} y^{3} \cdot y^{- 2}$
218134	Factor	(mn)^4-n^2	${(m n)}^{4} - n^{2}$
218135	Rationalize the Denominator	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
218136	Simplify	(2a^2b+2b^3)(3a^2b+3b+5b^3)	$(2 a^{2} b + 2 b^{3}) (3 a^{2} b + 3 b + 5 b^{3})$
218137	Evaluate	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
218138	Find the Distance Between Two Points	(-9,-4) and (0,-7)	$(- 9, - 4)$ and $(0, - 7)$
218139	Solve for x	square root of 9x^2-11=5	$\sqrt{9 x^{2} - 11} = 5$
218140	Find the Exact Value	arccsc(sec((2pi)/3))	$arccsc (\sec (\frac{2 π}{3}))$
218141	Solve the System of Inequalities	0.4x-1<=0 2.3x>=4.6	$0.4 x - 1 \leq 0$ $2.3 x \geq 4.6$
218142	Find the Product	(-4x^4-3x^3)(-9x^2+x)	$(- 4 x^{4} - 3 x^{3}) (- 9 x^{2} + x)$
218143	Solve by Substitution	y=x+2 and 3x+3y=6	$y = x + 2$ and $3 x + 3 y = 6$
218144	Solve the System of Equations	y=-x+3 and 2x+2y=6	$y = - x + 3$ and $2 x + 2 y = 6$
218145	Multiply	(x-y)(x+y)(x^2-y^2)	$(x - y) (x + y) (x^{2} - y^{2})$
218146	Graph	D={x\|x<=-1}	$D = {x \| x \leq - 1}$
218147	Simplify	( fifth root of x^3 square root of x^5 cube root of x^2)/( cube root of x^2 fifth root of x^3 square root of x^7)	$\frac{\sqrt[5]{x^{3} \sqrt{x^{5} \sqrt[3]{x^{2}}}}}{\sqrt[3]{x^{2} \sqrt[5]{x^{3} \sqrt{x^{7}}}}}$
218148	Solve the Inequality for x	1/6<(2x-17)/12<=2/3	$\frac{1}{6} < \frac{2 x - 17}{12} \leq \frac{2}{3}$
218149	Divide Using Synthetic Division	Use synthetic division to find the result when x^3+6x^2+10x+25 is divided by x+5	Use synthetic division to find the result when $x^{3} + 6 x^{2} + 10 x + 25$ is divided by $x + 5$
218150	Simplify	-2/(x^2-1)+1/(x+1)-1/(x-1)	$\frac{- 2}{x^{2} - 1} + \frac{1}{x + 1} - \frac{1}{x - 1}$
218151	Find the Holes in the Graph	(x^2-16)/(2x^2-4x-16)	$\frac{x^{2} - 16}{2 x^{2} - 4 x - 16}$
218152	Simplify	(2x^-4)/(3xy)	$\frac{2 x^{- 4}}{3 x y}$
218153	Solve for b	b=( cube root of -25)^3	$b = {(\sqrt[3]{- 25})}^{3}$
218154	Simplify	-2-2(2+2(2-2))	$- 2 - 2 (2 + 2 (2 - 2))$
218155	Evaluate the Function	f(a)=a^4+3a^3-17a^2+2a-7 at a=3	$f (a) = a^{4} + 3 a^{3} - 17 a^{2} + 2 a - 7$ at $a = 3$
218156	Graph	x^2(x-1)	$x^{2} (x - 1)$
218157	Write in Standard Form	(x^2+x-3)(x^2-x+3)	$(x^{2} + x - 3) (x^{2} - x + 3)$
218158	Solve for x	6/x-9/7=(2x+9)/(7x)	$\frac{6}{x} - \frac{9}{7} = \frac{2 x + 9}{7 x}$
218159	Multiply	-1/5(-2 1/4)	$- \frac{1}{5} (- 2 \frac{1}{4})$
218160	Solve by Factoring	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
218161	Simplify	(-6k^2+7+4k^3)+(-9k^3+3k^4+1)	$(- 6 k^{2} + 7 + 4 k^{3}) + (- 9 k^{3} + 3 k^{4} + 1)$
218162	Solve for x	(x^2-x+4)^(3/2)-2=6	${(x^{2} - x + 4)}^{\frac{3}{2}} - 2 = 6$
218163	Solve the System of Inequalities	5-2x>31 and 7x+8>=-55	$5 - 2 x > 31$ and $7 x + 8 \geq - 55$
218164	Evaluate	x-6 = square root of x	$x - 6 = \sqrt{x}$
218165	Solve for y	x = square root of y-2	$x = \sqrt{y - 2}$
218166	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,3) and has a slope of 6 ?	What is the equation of the line that passes through the point $(1, 3)$ and has a slope of $6$ ?
218167	Simplify	3 square root of 2(2 square root of 30+4 square root of 120)	$3 \sqrt{2} (2 \sqrt{30} + 4 \sqrt{120})$
218168	Graph	\|y\|=x^2	$\| y \| = x^{2}$
218169	Simplify	((x-2)/(x+5)+(x-5)/(x+2))/((x-2)/(x+5)-(x-5)/(x+2))	$\frac{\frac{x - 2}{x + 5} + \frac{x - 5}{x + 2}}{\frac{x - 2}{x + 5} - \frac{x - 5}{x + 2}}$
218170	Solve for b	2bh=v for b	$2 b h = v$ for $b$
218171	Evaluate	(-7(2+8))/5+9(-2)	$\frac{- 7 (2 + 8)}{5} + 9 (- 2)$
218172	Write in Exponential Form	( square root of x^12)/( square root of x^5)	$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$
218173	Factor	(x+8)^(1/3)-(x+8)^(4/3)	${(x + 8)}^{\frac{1}{3}} - {(x + 8)}^{\frac{4}{3}}$
218174	Solve for x	4/(x+2)=7/x	$\frac{4}{x + 2} = \frac{7}{x}$
218175	Solve for x	0=x^3-3x^2+4x-12	$0 = x^{3} - 3 x^{2} + 4 x - 12$
218176	Simplify	(g^4-4g^2+11)+(-g^3+8g)	$(g^{4} - 4 g^{2} + 11) + (- g^{3} + 8 g)$
218177	Solve for x	cube root of 4x+8=0	$\sqrt[3]{4 x} + 8 = 0$
218178	Solve for x	5/2*x=1	$\frac{5}{2} \cdot x = 1$
218179	Solve the Inequality for x	(\|2x-3\|)/5>3	$\frac{\| 2 x - 3 \|}{5} > 3$
218180	Evaluate the Function	g(2+h)=x^3	$g (2 + h) = x^{3}$
218181	Simplify	-9(7a-1)-2a-5a^2+2	$- 9 (7 a - 1) - 2 a - 5 a^{2} + 2$
218182	Subtract	(x^2+17x)-(3x^2+5x)	$(x^{2} + 17 x) - (3 x^{2} + 5 x)$
218183	Evaluate	(-3x^-5)^3	${(- 3 x^{- 5})}^{3}$
218184	Expand Using Pascal's Triangle	(2p^3-3t)^4	${(2 p^{3} - 3 t)}^{4}$
218185	Solve by Factoring	5x^3=1080	$5 x^{3} = 1080$
218186	Simplify	square root of 4st^3 sixth root of s^3t^2	$\sqrt{4 s t^{3}} \sqrt[6]{s^{3} t^{2}}$
218187	Solve for C	3C+4(-4/7)=5	$3 C + 4 (- \frac{4}{7}) = 5$
218188	Write in Slope-Intercept Form	x-y>=0	$x - y \geq 0$
218189	Simplify	(x^(-a))/(x^(-b)x^c)	$\frac{x^{- a}}{x^{- b} x^{c}}$
218190	Solve for x	7^(1/2)*7^(1/x)=10 root of 7^7	$7^{\frac{1}{2}} \cdot 7^{\frac{1}{x}} = \sqrt[10]{7^{7}}$
218191	Simplify the Radical Expression	2 square root of 3*2	$2 \sqrt{3} \cdot 2$
218192	Solve the Inequality for x	-4x^2+28x<40	$- 4 x^{2} + 28 x < 40$
218193	Write in Standard Form	1/2x-3x^4+7	$\frac{1}{2} x - 3 x^{4} + 7$
218194	Simplify	((3x)^(1/3)*(3x)^(7/3))/((3x)^(2/3))	$\frac{{(3 x)}^{\frac{1}{3}} \cdot {(3 x)}^{\frac{7}{3}}}{{(3 x)}^{\frac{2}{3}}}$
218195	Evaluate	0.45m-9=0.9m	$0.45 m - 9 = 0.9 m$
218196	Simplify	(7y^2+2y-3)+(2-4y+5y)	$(7 y^{2} + 2 y - 3) + (2 - 4 y + 5 y)$
218197	Simplify	(4 square root of 48)/( square root of 9)	$\frac{4 \sqrt{48}}{\sqrt{9}}$
218198	Solve the Inequality for x	x^2>=5x+24	$x^{2} \geq 5 x + 24$
218199	Solve for x	10-16x=-6x^2	$10 - 16 x = - 6 x^{2}$
218200	Solve Using the Quadratic Formula	5u(u+2)+5=0	$5 u (u + 2) + 5 = 0$