Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
165001	Find the Exact Value	(1/2)/(( square root of 3)/2)	$\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}$
165002	Describe the Transformation	f(x)=6/x-1	$f (x) = \frac{6}{x} - 1$
165003	Solve for x	x^2-3x-1=-3x	$x^{2} - 3 x - 1 = - 3 x$
165004	Solve for x	1/(2x)+1/4-1/(10x)=1/5	$\frac{1}{2 x} + \frac{1}{4} - \frac{1}{10 x} = \frac{1}{5}$
165005	Convert to a Decimal	-1 1/2	$- 1 \frac{1}{2}$
165006	Write in Standard Form	y=(x-3)^2	$y = {(x - 3)}^{2}$
165007	Solve the Inequality for x	9+3x>=-6	$9 + 3 x \geq - 6$
165008	Evaluate	(1+(1/1000))^1000	${(1 + (\frac{1}{1000}))}^{1000}$
165009	Find the Product	(a-b)^3	${(a - b)}^{3}$
165010	Simplify	-((b^2c)/(2d^3f^4))^-2	$- {(\frac{b^{2} c}{2 d^{3} f^{4}})}^{- 2}$
165011	Simplify	fourth root of (x^2)/(x^(2/3))	$\sqrt[4]{\frac{x^{2}}{x^{\frac{2}{3}}}}$
165012	Multiply	(x^2-x-6)/(5x+5)*5/(x-3)	$\frac{x^{2} - x - 6}{5 x + 5} \cdot \frac{5}{x - 3}$
165013	Graph	(1,-6)	$(1, - 6)$
165014	Solve for g	5t=Q^2+m/g	$5 t = Q^{2} + \frac{m}{g}$
165015	Solve for t	3/(t^2+3t-4)+2/(t+4)=5/(t+4)	$\frac{3}{t^{2} + 3 t - 4} + \frac{2}{t + 4} = \frac{5}{t + 4}$
165016	Find the Product	(5 square root of 2-4 square root of 3)(5 square root of 2-4 square root of 3)	$(5 \sqrt{2} - 4 \sqrt{3}) (5 \sqrt{2} - 4 \sqrt{3})$
165017	Subtract	9x^2-10x+1 from -2x^2+4x-10	$9 x^{2} - 10 x + 1$ from $- 2 x^{2} + 4 x - 10$
165018	Solve the System of Inequalities	-5<=-5x+5<=50	$- 5 \leq - 5 x + 5 \leq 50$
165019	Find the x and y Intercepts	y=(2x)/(x-3)	$y = \frac{2 x}{x - 3}$
165020	Solve for w	s=2(lw+lh+wh)	$s = 2 (l w + l h + w h)$
165021	Solve for h	F(x)=a(x-h)^2+k	$F (x) = a {(x - h)}^{2} + k$
165022	Solve the Inequality for s	-3s+4(-6s-2)<6s+7+6s	$- 3 s + 4 (- 6 s - 2) < 6 s + 7 + 6 s$
165023	Solve the Inequality for x	(x-3)(x-4)(x-5)>=0	$(x - 3) (x - 4) (x - 5) \geq 0$
165024	Evaluate	tan(arcsin(x))	$\tan (\arcsin (x))$
165025	Solve the Inequality for x	(x+2)^2(x+5)(x+9)>=0	${(x + 2)}^{2} (x + 5) (x + 9) \geq 0$
165026	Solve for x	1/(2x-1)-1/x=0	$\frac{1}{2 x - 1} - \frac{1}{x} = 0$
165027	Simplify	1/(1/(x+2)+1/(x+3))	$\frac{1}{\frac{1}{x + 2} + \frac{1}{x + 3}}$
165028	Solve for x	u=x-k ; for x	$u = x - k$ ; for $x$
165029	Simplify	((3xy)^2x^4y)/(x^5)	$\frac{{(3 x y)}^{2} x^{4} y}{x^{5}}$
165030	Find the Holes in the Graph	f(x)=(x^2+7x+10)/(2x^2-x-10)	$f (x) = \frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
165031	Solve for x	log base 6 of x+ log base 6 of 3 = log base 6 of x+1	$\log_{6} (x) + \log_{6} (3) = \log_{6} (x + 1)$
165032	Solve for u	-6+u=4	$- 6 + u = 4$
165033	Solve for w	4(w-1)-1=2(2w-3)	$4 (w - 1) - 1 = 2 (2 w - 3)$
165034	Simplify	(-2/3)^3	${(- \frac{2}{3})}^{3}$
165035	Factor	4x^2+x+12x+3	$4 x^{2} + x + 12 x + 3$
165036	Solve for c	-c/0.1+0.7=19.7	$- \frac{c}{0.1} + 0.7 = 19.7$
165037	Find the First Term	a_n=3^(n-1)	$a_{n} = 3^{n - 1}$
165038	Simplify	(2x^3y^7*4x^5y^-5)/(3x^-4y^2)	$\frac{2 x^{3} y^{7} \cdot 4 x^{5} y^{- 5}}{3 x^{- 4} y^{2}}$
165039	Solve for x	(3x-8)/2=x-6	$\frac{3 x - 8}{2} = x - 6$
165040	Graph	f(x)=-2x+3 if x<1; 3x-2 if x>=1	$f (x) = {\begin{cases} - 2 x + 3 & x < 1 \\ 3 x - 2 & x \geq 1 \end{cases}$
165041	Solve for x	8x-2(x+1)=2(3x-1)	$8 x - 2 (x + 1) = 2 (3 x - 1)$
165042	Solve for w	10=-4/3w	$10 = - \frac{4}{3} w$
165043	Solve for a	B/a+f^2=5g	$\frac{B}{a} + f^{2} = 5 g$
165044	Solve for r	-4/3r=-7	$- \frac{4}{3} r = - 7$
165045	Graph Using a Table of Values	(1/3)^x	${(\frac{1}{3})}^{x}$
165046	Solve for b	T = square root of gb-6	$T = \sqrt{g b - 6}$
165047	Divide	2÷(4/5)	$2 \div \frac{4}{5}$
165048	Solve the Inequality for r	-5r+2(-3r+5)>=-2r-8+3r	$- 5 r + 2 (- 3 r + 5) \geq - 2 r - 8 + 3 r$
165049	Solve for x	0=x^2-1	$0 = x^{2} - 1$
165050	Solve for x	3/2x-2/3x=2	$\frac{3}{2} x - \frac{2}{3} x = 2$
165051	Graph	x+3<y	$x + 3 < y$
165052	Solve for p	t=d+pm	$t = d + p m$
165053	Solve for x	4x-1+2x-1=5x	$4 x - 1 + 2 x - 1 = 5 x$
165054	Simplify	4x-2x-20x+x	$4 x - 2 x - 20 x + x$
165055	Find the Holes in the Graph	f(x)=(-5x+10)/(2x^2-8)	$f (x) = \frac{- 5 x + 10}{2 x^{2} - 8}$
165056	Simplify	y+(2y^3)/(x^3-y^3)	$y + \frac{2 y^{3}}{x^{3} - y^{3}}$
165057	Simplify	(-1/x)^2	${(- \frac{1}{x})}^{2}$
165058	Solve the Inequality for m	10m+5(4m+8)>=7m-6-2m	$10 m + 5 (4 m + 8) \geq 7 m - 6 - 2 m$
165059	Simplify	(3(x^2)^3)/(3x^3)	$\frac{3 {(x^{2})}^{3}}{3 x^{3}}$
165060	Solve for x	8^(5x+3)=(1/64)^(-2/3)	$8^{5 x + 3} = {(\frac{1}{64})}^{- \frac{2}{3}}$
165061	Subtract	2x^2+6x-5 from 7x^2+3x+4	$2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
165062	Simplify	(3(r^2)^4)/(15r^8)	$\frac{3 {(r^{2})}^{4}}{15 r^{8}}$
165063	Simplify	square root of -24* square root of 3	$\sqrt{- 24} \cdot \sqrt{3}$
165064	Solve the Inequality for n	-1<=2n+4-5	$- 1 \leq 2 n + 4 - 5$
165065	Graph Using a Table of Values	f(x)=(3x-3)/(-x+2)	$f (x) = \frac{3 x - 3}{- x + 2}$
165066	Simplify	-3/(4+ square root of 17)	$\frac{- 3}{4 + \sqrt{17}}$
165067	Solve the Inequality for x	x^2>64	$x^{2} > 64$
165068	Simplify	((4s^5t^-7)/(-2s^-2t^4))^3	${(\frac{4 s^{5} t^{- 7}}{- 2 s^{- 2} t^{4}})}^{3}$
165069	Divide	(25xy^2z)/(5xy)	$\frac{25 x y^{2} z}{5 x y}$
165070	Solve for x	x/(r-8)+1/8=(x+1)/(8-r)	$\frac{x}{r - 8} + \frac{1}{8} = \frac{x + 1}{8 - r}$
165071	Simplify	(3/(x+5)+2/(x-2))/(-6/(x-2))	$\frac{\frac{3}{x + 5} + \frac{2}{x - 2}}{- \frac{6}{x - 2}}$
165072	Evaluate	2(1/2)-1	$2 (\frac{1}{2}) - 1$
165073	Solve for x	1/(x-2)+(6x)/(x^2-4)=3/(x+2)	$\frac{1}{x - 2} + \frac{6 x}{x^{2} - 4} = \frac{3}{x + 2}$
165074	Find the Product	(3x-2)^3	${(3 x - 2)}^{3}$
165075	Solve the Inequality for x	8x-6>12+2x	$8 x - 6 > 12 + 2 x$
165076	Solve for r	i=e/r	$i = \frac{e}{r}$
165077	Graph	y<-2x+3 and y>=3x-2	$y < - 2 x + 3$ and $y \geq 3 x - 2$
165078	Simplify	(x-3)/(x-1)+6/(x-3)	$\frac{x - 3}{x - 1} + \frac{6}{x - 3}$
165079	Combine Like Terms	19-6(-k-2)	$19 - 6 (- k - 2)$
165080	Solve the Inequality for x	(x^2-1)/(x^2+1)<=0	$\frac{x^{2} - 1}{x^{2} + 1} \leq 0$
165081	Solve the Inequality for x	1+2/(x+1)<=2/x	$1 + \frac{2}{x + 1} \leq \frac{2}{x}$
165082	Find the Midpoint	(-15,-2) and (-6,-4)	$(- 15, - 2)$ and $(- 6, - 4)$
165083	Solve for x	7x=13 square root of x	$7 x = 13 \sqrt{x}$
165084	Graph Using a Table of Values	f(x)=(1/2)^(-x)	$f (x) = {(\frac{1}{2})}^{- x}$
165085	Solve for x	7/3-3/(x-5)=19/12	$\frac{7}{3} - \frac{3}{x - 5} = \frac{19}{12}$
165086	Solve for R	P=R-C	$P = R - C$
165087	Graph	y^2=x-1	$y^{2} = x - 1$
165088	Simplify	( square root of 4)/(5 square root of 3)	$\frac{\sqrt{4}}{5 \sqrt{3}}$
165089	Solve for b	3a-7=-4b+1	$3 a - 7 = - 4 b + 1$
165090	Evaluate	1/2(0)^2	$\frac{1}{2} {(0)}^{2}$
165091	Solve for p	4(-1+2p)=3(3p-4)	$4 (- 1 + 2 p) = 3 (3 p - 4)$
165092	Solve the Inequality for s	2(-4s+2)>=-5s-10	$2 (- 4 s + 2) \geq - 5 s - 10$
165093	Solve the Inequality for x	4x-6>6x-20	$4 x - 6 > 6 x - 20$
165094	Solve for x	3(x-5)=x+11	$3 (x - 5) = x + 11$
165095	Solve for x	square root of x-4-3=-5	$\sqrt{x - 4} - 3 = - 5$
165096	Solve the Inequality for x	(x+1)/3+(x-3)/5>2	$\frac{x + 1}{3} + \frac{x - 3}{5} > 2$
165097	Evaluate	2/3(1)^(3/2)	$\frac{2}{3} {(1)}^{\frac{3}{2}}$
165098	Evaluate	( log base c of 6)/( log of 6)	$\frac{\log_{c} (6)}{\log (6)}$
165099	Solve the System of Equations	y=x+6 y=-2x-3	$y = x + 6$ $y = - 2 x - 3$
165100	Solve the System of Inequalities	29>4x+1>=-31	$29 > 4 x + 1 \geq - 31$