Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177001	Solve for x	2/3-x+1/6=6x	$\frac{2}{3} - x + \frac{1}{6} = 6 x$
177002	Solve by Substitution	-x+y=-10 10x+8=y	$- x + y = - 10$ $10 x + 8 = y$
177003	Simplify the Radical Expression	square root of x^15	$\sqrt{x^{15}}$
177004	Solve the Inequality for x	\|x-5\|<=6	$\| x - 5 \| \leq 6$
177005	Solve for b	b+3=1/2(b-4)	$b + 3 = \frac{1}{2} (b - 4)$
177006	Simplify	3x(4x+5)-4(-x-3)(2x-5)	$3 x (4 x + 5) - 4 (- x - 3) (2 x - 5)$
177007	Graph	f^-1(x) = cube root of x+7	$f^{- 1} (x) = \sqrt[3]{x + 7}$
177008	Multiply	1/21/21/21/21/21/21/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
177009	Solve for x	log base 4 of 3x+5+ log base 4 of 2x+3=0	$\log_{4} (3 x + 5) + \log_{4} (2 x + 3) = 0$
177010	Multiply	(7b^5-4b)(7b^5+4b)	$(7 b^{5} - 4 b) (7 b^{5} + 4 b)$
177011	Divide	4 2/3÷2 2/9	$4 \frac{2}{3} \div 2 \frac{2}{9}$
177012	Simplify	(x-4)/3+(5x)/3	$\frac{x - 4}{3} + \frac{5 x}{3}$
177013	Solve for x	-7x+1-10x^2=0	$- 7 x + 1 - 10 x^{2} = 0$
177014	Evaluate	25% of 40	$25 %$ of $40$
177015	Solve for h	3(4h-1)=-4(3h-5)	$3 (4 h - 1) = - 4 (3 h - 5)$
177016	Graph	y=-x/3	$y = - \frac{x}{3}$
177017	Solve for x	3+x/5=(x+1)/3	$3 + \frac{x}{5} = \frac{x + 1}{3}$
177018	Write in Standard Form	-11+x^2=-3x^2-4-2x	$- 11 + x^{2} = - 3 x^{2} - 4 - 2 x$
177019	Simplify	117/(6+9i)	$\frac{117}{(6 + 9 i)}$
177020	Multiply	(5y-20)/(3y+15)*(7y+35)/(10y+40)	$\frac{5 y - 20}{3 y + 15} \cdot \frac{7 y + 35}{10 y + 40}$
177021	Solve the System of Equations	2x+y=3 5x+3y=10	$2 x + y = 3$ $5 x + 3 y = 10$
177022	Evaluate	12 choose 0	${}_{12}C_{0}$
177023	Simplify	x-(3a+2(-x+1))	$x - (3 a + 2 (- x + 1))$
177024	Simplify	(p^2+pq-q^2)+(-p^2+3pq+q^2)	$(p^{2} + p q - q^{2}) + (- p^{2} + 3 p q + q^{2})$
177025	Find the Domain and Range	f(x)=x/3	$f (x) = \frac{x}{3}$
177026	Solve for x	3x=5+3x	$3 x = 5 + 3 x$
177027	Solve for x	4x^(3/2)=32	$4 x^{\frac{3}{2}} = 32$
177028	Evaluate	x-9<-15	$x - 9 < - 15$
177029	Find the x and y Intercepts	f(x)=-(x+1)^2(x-1)^2	$f (x) = - {(x + 1)}^{2} {(x - 1)}^{2}$
177030	Multiply	x-1*x-1	$x - 1 \cdot x - 1$
177031	Find the x and y Intercepts	x-y^2=-1	$x - y^{2} = - 1$
177032	Solve for c	2(3/5c-2)+1/2c=4-4/5c	$2 (\frac{3}{5} c - 2) + \frac{1}{2} c = 4 - \frac{4}{5} c$
177033	Solve for x	log base 2 of 4x-4 log base 2 of 2=0	$\log_{2} (4 x) - 4 \log_{2} (2) = 0$
177034	Graph	f(x)=x^2+1g(x)=5-x(f+g)x	$f (x) = x^{2} + 1 g (x) = 5 - x (f + g) x$
177035	Convert to a Decimal	-1 3/4	$- 1 \frac{3}{4}$
177036	Simplify	(x^2-5x+4)/(x^3-2x^2-80x)*(3x^2-30x)/(x-1)	$\frac{x^{2} - 5 x + 4}{x^{3} - 2 x^{2} - 80 x} \cdot \frac{3 x^{2} - 30 x}{x - 1}$
177037	Graph	y>=x^2-4x+1	$y \geq x^{2} - 4 x + 1$
177038	Convert to Polar	x=9	$x = 9$
177039	Solve for h	p=0.7(rh+b)	$p = 0.7 (r h + b)$
177040	Simplify	(5-x)/(x^2+2x)	$\frac{5 - x}{x^{2} + 2 x}$
177041	Simplify	(2x^(1/2)y^(1/3))/(2x^(4/3)y^(-7/4))	$\frac{2 x^{\frac{1}{2}} y^{\frac{1}{3}}}{2 x^{\frac{4}{3}} y^{- \frac{7}{4}}}$
177042	Solve for m	3m-(7m+12)=2(m-3)	$3 m - (7 m + 12) = 2 (m - 3)$
177043	Find f(g(x))	f(x)=4x g(x)=4x	$f (x) = 4 x$ $g (x) = 4 x$
177044	Graph	y<=2/5x+4 y<-2x-8	$y \leq \frac{2}{5} x + 4$ $y < - 2 x - 8$
177045	Divide	(4xy^2-2xy+2x^2y)/(xy)	$\frac{4 x y^{2} - 2 x y + 2 x^{2} y}{x y}$
177046	Simplify	(x^2-3x-10)/(x^2-25)*(2x+10)/(10x+20)	$\frac{x^{2} - 3 x - 10}{x^{2} - 25} \cdot \frac{2 x + 10}{10 x + 20}$
177047	Write in Standard Form	8x^2=8x+13+4x^2	$8 x^{2} = 8 x + 13 + 4 x^{2}$
177048	Graph	f(x)=-x if x<=0; 9-x^2 if 0<x<=3; x-3 if x>3	$f (x) = {\begin{cases} - x & x \leq 0 \\ 9 - x^{2} & 0 < x \leq 3 \\ x - 3 & x > 3 \end{cases}$
177049	Solve for x	a(x-2)=b	$a (x - 2) = b$
177050	Graph	y=kx+1	$y = k x + 1$
177051	Solve for x	a(5-x)=bx-8	$a (5 - x) = b x - 8$
177052	Write in Exponential Form	square root of x^2	$\sqrt{x^{2}}$
177053	Find the Excluded Values	(x^2+2x-3)/(x^2+5x+6)	$\frac{x^{2} + 2 x - 3}{x^{2} + 5 x + 6}$
177054	Solve the Inequality for x	3x^2+9x<0	$3 x^{2} + 9 x < 0$
177055	Write Using Negative Exponents	1/(12^4)	$\frac{1}{12^{4}}$
177056	Solve for x	-4/(x^2-6x)+(3x)/(x-6)=-1	$- \frac{4}{x^{2} - 6 x} + \frac{3 x}{x - 6} = - 1$
177057	Simplify	(9^2)^(1/3)	${(9^{2})}^{\frac{1}{3}}$
177058	Evaluate	natural log of e^6+ natural log of e^-12	$\ln (e^{6}) + \ln (e^{- 12})$
177059	Solve for w	6+(w-10)=5	$6 + (w - 10) = 5$
177060	Simplify	1/(x+1)-x/(x-2)+(x^2+2)/(x^2-x-2)	$\frac{1}{x + 1} - \frac{x}{x - 2} + \frac{x^{2} + 2}{x^{2} - x - 2}$
177061	Solve the Inequality for x	x-5>=-3	$x - 5 \geq - 3$
177062	Simplify	-15k-1+12+2k	$- 15 k - 1 + 12 + 2 k$
177063	Simplify	(-5x-1)/(x+2)+(2x-5)/(x+2)	$\frac{- 5 x - 1}{x + 2} + \frac{2 x - 5}{x + 2}$
177064	Find the Domain and Range	G(x)=4x^2	$G (x) = 4 x^{2}$
177065	Solve for t	g(t)=6t-1	$g (t) = 6 t - 1$
177066	Solve for a	x^(1/3) square root of x^5=x^a	$x^{\frac{1}{3}} \sqrt{x^{5}} = x^{a}$
177067	Solve the System of Inequalities	5x-5>-7x-5 or 3x+5<=x-1	$5 x - 5 > - 7 x - 5$ or $3 x + 5 \leq x - 1$
177068	Simplify	((2x^3y^0z^4)/(x^4z^-1))^3	${(\frac{2 x^{3} y^{0} z^{4}}{x^{4} z^{- 1}})}^{3}$
177069	Factor by Grouping	2x^2-8	$2 x^{2} - 8$
177070	Solve the System of Equations	y=-3x+6 y=9	$y = - 3 x + 6$ $y = 9$
177071	Graph	x^2>4x	$x^{2} > 4 x$
177072	Solve the System of Inequalities	2<6-2y<5	$2 < 6 - 2 y < 5$
177073	Solve for y	square root of 9y^2+15y+18 = square root of 5y^2-5y-7	$\sqrt{9 y^{2} + 15 y + 18} = \sqrt{5 y^{2} - 5 y - 7}$
177074	Solve the Inequality for x	x^2-4x-45>=0	$x^{2} - 4 x - 45 \geq 0$
177075	Solve for c	c-1.5+6.8=0.6	$c - 1.5 + 6.8 = 0.6$
177076	Find the Equation of the Circle	center (-8,-6) , r=10	center $(- 8, - 6)$ , $r = 10$
177077	Solve the Inequality for x	x^2+6x>=-8	$x^{2} + 6 x \geq - 8$
177078	Solve for j	3/4j-2(1/2j+2)=1/8j	$\frac{3}{4} j - 2 (\frac{1}{2} j + 2) = \frac{1}{8} j$
177079	Solve for x	(3-6x)/3=-11	$\frac{3 - 6 x}{3} = - 11$
177080	Simplify	x/(x+ square root of 3)	$\frac{x}{x + \sqrt{3}}$
177081	Evaluate	0+1/2	$0 + \frac{1}{2}$
177082	Determine the Number of Significant Figures	0.005	$0.005$
177083	Solve for s	1+(3s)/5=7	$1 + \frac{3 s}{5} = 7$
177084	Find the Domain and Range	y=x/(x+3)	$y = \frac{x}{x + 3}$
177085	Find the Exact Value	sin(pi/3)-cos(pi/6)	$\sin (\frac{π}{3}) - \cos (\frac{π}{6})$
177086	Graph Using a Table of Values	y = square root of x-3	$y = \sqrt{x - 3}$
177087	Graph	y=1/2sin(x-pi/4)	$y = \frac{1}{2} \sin (x - \frac{π}{4})$
177088	Evaluate	3-5+3(2-1)+4÷2	$3 - 5 + 3 (2 - 1) + 4 \div 2$
177089	Simplify	(x^2)/(3x)+x	$\frac{x^{2}}{3 x} + x$
177090	Solve for n	4^(-3n-2)*8=16^(3n-2)	$4^{- 3 n - 2} \cdot 8 = 16^{3 n - 2}$
177091	Find the Exact Value	- square root of 16	$- \sqrt{16}$
177092	Evaluate	3/2+(-5/2)+(-2)	$\frac{3}{2} + (- \frac{5}{2}) + (- 2)$
177093	Simplify	(z^(-1/3))/(z^(-5/6))	$\frac{z^{- \frac{1}{3}}}{z^{- \frac{5}{6}}}$
177094	Write in Standard Form	x(2x-4)=(x-2)(x-2)	$x (2 x - 4) = (x - 2) (x - 2)$
177095	Simplify	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{- \frac{1}{4}}$
177096	Evaluate	(2!8!)/(4!6!)	$\frac{2! 8!}{4! 6!}$
177097	Find the Distance Between Two Points	(2,3) and (-3,-6)	$(2, 3)$ and $(- 3, - 6)$
177098	Solve the Absolute Value Inequality for t	\|t/2\|=6	$\| \frac{t}{2} \| = 6$
177099	Solve the Inequality for n	n-4<5	$n - 4 < 5$
177100	Solve for a	S=n/2(a+L)	$S = \frac{n}{2} (a + L)$