Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197001	Simplify	(-1/2)^2	${(\frac{- 1}{2})}^{2}$
197002	Solve for m	y=mx+5	$y = m x + 5$
197003	Solve for c	9c-1<4c-5	$9 c - 1 < 4 c - 5$
197004	Solve for x	1=-6-5(5.2x+5.2)+x	$1 = - 6 - 5 (5.2 x + 5.2) + x$
197005	Simplify	x/(x+1)*2/(x-1)	$\frac{x}{x + 1} \cdot \frac{2}{x - 1}$
197006	Graph	f(x)=-(x+2)/(x+4)	$f (x) = - \frac{x + 2}{x + 4}$
197007	Evaluate	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
197008	Find the Exact Value	arccot(-1/( square root of 3))	$arccot (- \frac{1}{\sqrt{3}})$
197009	Graph	(x+4)^2(x^2-1)	${(x + 4)}^{2} (x^{2} - 1)$
197010	Factor	P(x)=2x^3-3x^2-2x+3	$P (x) = 2 x^{3} - 3 x^{2} - 2 x + 3$
197011	Find the Perpendicular Line	(8,-7) which is perpendicular to the line y=x/2-9	$(8, - 7)$ which is perpendicular to the line $y = \frac{x}{2} - 9$
197012	Solve for x	1/2(-4+6x)=1/3x+2/3(x+9)	$\frac{1}{2} (- 4 + 6 x) = \frac{1}{3} x + \frac{2}{3} (x + 9)$
197013	Solve for x	(2x+5)/(x+2)+2/(x-2)=x/(x-2)	$\frac{2 x + 5}{x + 2} + \frac{2}{x - 2} = \frac{x}{x - 2}$
197014	Simplify	1/4(x-2/5)-1/3(3/4x-1/2)	$\frac{1}{4} (x - \frac{2}{5}) - \frac{1}{3} (\frac{3}{4} x - \frac{1}{2})$
197015	Multiply	( square root of 3)/2*( square root of 2)/2	$\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{2}}{2}$
197016	Find the GCF	xy-xz	$x y - x z$
197017	Solve for q	2(1/2q+1)=-3(2q-1)+8q+4	$2 (\frac{1}{2} q + 1) = - 3 (2 q - 1) + 8 q + 4$
197018	Evaluate	1÷( square root of 2)	$1 \div \sqrt{2}$
197019	Evaluate	(3+4x)(3-4x)	$(3 + 4 x) (3 - 4 x)$
197020	Solve for y	y^2+4y+4=7	$y^{2} + 4 y + 4 = 7$
197021	Solve for x	-2\|x-1\|+3=2/5x-11/5	$- 2 \| x - 1 \| + 3 = \frac{2}{5} x - \frac{11}{5}$
197022	Simplify	-7a^2+3a-9de*5a^2-6a-4	$- 7 a^{2} + 3 a - 9 d e \cdot 5 a^{2} - 6 a - 4$
197023	Simplify	x/5+2/(3x)	$\frac{x}{5} + \frac{2}{3 x}$
197024	Divide	((x^2+x)/(x^2-4))÷((x^2-1)/(x^2+5x+6))	$\frac{x^{2} + x}{x^{2} - 4} \div \frac{x^{2} - 1}{x^{2} + 5 x + 6}$
197025	Find the Function	f(x)=x(x-1)	$f (x) = x (x - 1)$
197026	Evaluate	((-2)^85^3)/(5^42^10*10)	$\frac{{(- 2)}^{8} \cdot 5^{3}}{5^{4} \cdot 2^{10} \cdot 10}$
197027	Simplify	3.5/(3p^3)+7/(4p)	$\frac{3.5}{3 p^{3}} + \frac{7}{4 p}$
197028	Write in Standard Form	9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4	$9 x y^{3} - 4 y^{4} - 10 x^{2} y^{2} + x^{3} y + 3 x^{4} + 2 x^{2} y^{2} - 9 y^{4}$
197029	Simplify	6/(m^2+3m)-1/(m^2-m)+3/(m^2+2m-3)	$\frac{6}{m^{2} + 3 m} - \frac{1}{m^{2} - m} + \frac{3}{m^{2} + 2 m - 3}$
197030	Graph	f(x)=x^2+1 if x<1	$f (x) = x^{2} + 1$ if $x < 1$
197031	Find All Complex Solutions	square root of x+10-1=x	$\sqrt{x + 10} - 1 = x$
197032	Evaluate	-3^2+(2-6)(10)	$- 3^{2} + (2 - 6) (10)$
197033	Solve for θ	(3pi)/2<theta<2pi	$\frac{3 π}{2} < θ < 2 π$
197034	Simplify	(m^2n^5)/(n^7m^-6)	$\frac{m^{2} n^{5}}{n^{7} m^{- 6}}$
197035	Simplify	3/5b-2+7b-12-2/5b+14	$\frac{3}{5} b - 2 + 7 b - 12 - \frac{2}{5} b + 14$
197036	Evaluate	V=1/3pir^2h	$V = \frac{1}{3} π r^{2} h$
197037	Solve for b	r=(2+b)m	$r = (2 + b) m$
197038	Solve for h	b/h=2/( square root of 3)	$\frac{b}{h} = \frac{2}{\sqrt{3}}$
197039	Rationalize the Denominator	4/( square root of 18)	$\frac{4}{\sqrt{18}}$
197040	Evaluate	((2x+7)-7)/2	$\frac{(2 x + 7) - 7}{2}$
197041	Solve for h	2\|h\|-3=8	$2 \| h \| - 3 = 8$
197042	Solve the Inequality for n	3(n+5)>=3n+8	$3 (n + 5) \geq 3 n + 8$
197043	Graph	f(x)=(12x^5-b)/(6x^5+cx-d)	$f (x) = \frac{12 x^{5} - b}{6 x^{5} + c x - d}$
197044	Evaluate	(6-3 cube root of 6)/( cube root of 9)	$\frac{6 - 3 \sqrt[3]{6}}{\sqrt[3]{9}}$
197045	Simplify	3j^4k-2jk^3+jk^3-2j^4k+jk^3	$3 j^{4} k - 2 j k^{3} + j k^{3} - 2 j^{4} k + j k^{3}$
197046	Simplify	cube root of 9a* cube root of 3a^2b^3	$\sqrt[3]{9 a} \cdot \sqrt[3]{3 a^{2} b^{3}}$
197047	Graph	f(x)=negative infinity	$f (x) = - \infty$
197048	Solve for d	p(d+z)=2z+3	$p (d + z) = 2 z + 3$
197049	Graph	f(x,y)=x^2-y^2	$f (x, y) = x^{2} - y^{2}$
197050	Evaluate	(1/9)^2*(-3)^3	${(\frac{1}{9})}^{2} \cdot {(- 3)}^{3}$
197051	Graph	y<=(x+1)^3	$y \leq {(x + 1)}^{3}$
197052	Solve for c	-30c-6c+40c+10c=-28	$- 30 c - 6 c + 40 c + 10 c = - 28$
197053	Simplify	x/2+7/(9x)	$\frac{x}{2} + \frac{7}{9 x}$
197054	Solve for x	10x+5=12x^2+6x	$10 x + 5 = 12 x^{2} + 6 x$
197055	Solve for x	(3x+4)/5-(x+2)/7=6	$\frac{3 x + 4}{5} - \frac{x + 2}{7} = 6$
197056	Simplify	(2x+3)^2-(2x-3)^2	${(2 x + 3)}^{2} - {(2 x - 3)}^{2}$
197057	Evaluate	((3/4)^6)÷((3/4)^-3)	${(\frac{3}{4})}^{6} \div {(\frac{3}{4})}^{- 3}$
197058	Find the Axis of Symmetry	5y^2-10x=0	$5 y^{2} - 10 x = 0$
197059	Factor	2sin(x)^2-sin(x)-1=0	$2 \sin^{2} (x) - \sin (x) - 1 = 0$
197060	Solve for x	(4x)/5-x=-12	$\frac{4 x}{5} - x = - 12$
197061	Find the Roots (Zeros)	f(x)=2^(x-1)-3^(x+1)	$f (x) = 2^{x - 1} - 3^{x + 1}$
197062	Solve for r	(r+5)/(r^2-2r)-1=1/(r^2-2r)	$\frac{r + 5}{r^{2} - 2 r} - 1 = \frac{1}{r^{2} - 2 r}$
197063	Find the Roots (Zeros)	1/x	$\frac{1}{x}$
197064	Graph	7x-8f(x)-28=0	$7 x - 8 f (x) - 28 = 0$
197065	Find the Holes in the Graph	(-5x+10)/(2x^2-8)	$\frac{- 5 x + 10}{2 x^{2} - 8}$
197066	Solve the System of Equations	x-y+z=2 x+y+z=4 2x+2y-z=-4	$x - y + z = 2$ $x + y + z = 4$ $2 x + 2 y - z = - 4$
197067	Solve for x	log base 3 of x^2-4- log base 3 of 3x+2=1	$\log_{3} (x^{2} - 4) - \log_{3} (3 x + 2) = 1$
197068	Solve the Inequality for x	3x^2+x<=2	$3 x^{2} + x \leq 2$
197069	Simplify the Radical Expression	6 square root of 72x^2	$6 \sqrt{72 x^{2}}$
197070	Find the Distance Between Two Points	(-4,5) and (7,18)	$(- 4, 5)$ and $(7, 18)$
197071	Solve Using the Quadratic Formula	x^2=2/3(x+1)	$x^{2} = \frac{2}{3} (x + 1)$
197072	Find the Point-Slope Form	y+2=-4(x-1)	$y + 2 = - 4 (x - 1)$
197073	Find the Domain of the Composition f(g(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
197074	Factor	x^8-x^2	$x^{8} - x^{2}$
197075	Subtract	3.1x+2.8z*4.3x-1.2z	$3.1 x + 2.8 z \cdot 4.3 x - 1.2 z$
197076	Find the Degree, Leading Term, and Leading Coefficient	-7x+1/7x^5+1	$- 7 x + \frac{1}{7} x^{5} + 1$
197077	Solve for x	8/9-4/7=(2x-8)/63	$\frac{8}{9} - \frac{4}{7} = \frac{2 x - 8}{63}$
197078	Solve the Inequality for x	8x^2+9x>=0	$8 x^{2} + 9 x \geq 0$
197079	Simplify the Radical Expression	square root of 3 cube root of 2	$\sqrt{3} \sqrt[3]{2}$
197080	Solve for t	(1/2)(10t)=50000	$(\frac{1}{2}) (10 t) = 50000$
197081	Describe the Transformation	y=\|f(x)\|	$y = \| f (x) \|$
197082	Solve Using the Quadratic Formula	x^2+12x+c	$x^{2} + 12 x + c$
197083	Find the Inverse	f(x)=2(x-4)^2	$f (x) = 2 {(x - 4)}^{2}$
197084	Simplify	(x^2y^-3)/(3y^2)*(y^2)/(x^-4)	$\frac{x^{2} y^{- 3}}{3 y^{2}} \cdot \frac{y^{2}}{x^{- 4}}$
197085	Simplify	(2k^3+6k+1)-(2k^2+1)	$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$
197086	Solve the System of Equations	y=-1/2x+1 3x-2y=14	$y = - \frac{1}{2} x + 1$ $3 x - 2 y = 14$
197087	Graph	y=-1/4sin(x/3)	$y = - \frac{1}{4} \sin (\frac{x}{3})$
197088	Simplify	2/3(9x-12)	$\frac{2}{3} (9 x - 12)$
197089	Solve for n	log of n=4 log of 2	$\log (n) = 4 \log (2)$
197090	Solve for y	3y+2/3=5y	$3 y + \frac{2}{3} = 5 y$
197091	Solve for f	M=L/F(25/f+1)	$M = \frac{L}{F} (\frac{25}{f} + 1)$
197092	Evaluate	(x^2-5x+6)+(3x^2-8x-2)	$(x^{2} - 5 x + 6) + (3 x^{2} - 8 x - 2)$
197093	Find the Roots (Zeros)	(x+3)(x-2)(x+1)(x-1)=0	$(x + 3) (x - 2) (x + 1) (x - 1) = 0$
197094	Evaluate	-3x-7(x+4)	$- 3 x - 7 (x + 4)$
197095	Find the Distance Between Two Points	(8,-4) and (4,3)	$(8, - 4)$ and $(4, 3)$
197096	Find the Slope and y-intercept	2y+1=0	$2 y + 1 = 0$
197097	Solve the System of Equations	x=2(1+2y)-9z y=2(2z-x)-13 z=2(y+4)+3x	$x = 2 (1 + 2 y) - 9 z$ $y = 2 (2 z - x) - 13$ $z = 2 (y + 4) + 3 x$
197098	Solve for w	2/w=0.4/0.7	$\frac{2}{w} = \frac{0.4}{0.7}$
197099	Solve for x	-x/3+21=0	$- \frac{x}{3} + 21 = 0$
197100	Evaluate	sin(3theta)=-1	$\sin (3 θ) = - 1$