Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184001	Evaluate	3/4-7/9(1/2)^2	$\frac{3}{4} - \frac{7}{9} {(\frac{1}{2})}^{2}$
184002	Evaluate	(y^-5)/(y^-2)	$\frac{y^{- 5}}{y^{- 2}}$
184003	Solve for x	4/x+1/(3x)=9	$\frac{4}{x} + \frac{1}{3 x} = 9$
184004	Simplify	(1-5i)^2-(8-4i)	${(1 - 5 i)}^{2} - (8 - 4 i)$
184005	Graph	(infinity,infinity)	$(\infty, \infty)$
184006	Simplify	(3k-2i)^2	${(3 k - 2 i)}^{2}$
184007	Find the Function	f(x)=2x^2+3x-1	$f (x) = 2 x^{2} + 3 x - 1$
184008	Graph	(( square root of 3)/2,-1/2)	$(\frac{\sqrt{3}}{2}, - \frac{1}{2})$
184009	Simplify	(9/4x+6)-(-5/4x-24)	$(\frac{9}{4} x + 6) - (- \frac{5}{4} x - 24)$
184010	Simplify	e^xe^4e^(x+3)	$e^{x} \cdot e^{4} \cdot e^{x + 3}$
184011	Find the Holes in the Graph	f(x)=x/(x^2+1)	$f (x) = \frac{x}{x^{2} + 1}$
184012	Graph Using a Table of Values	f(x)=7	$f (x) = 7$
184013	Simplify	(x^2-x-6)/(x^2+2x-15)*(x^3+10x^2+25x)/(x^2+7x+10)	$\frac{x^{2} - x - 6}{x^{2} + 2 x - 15} \cdot \frac{x^{3} + 10 x^{2} + 25 x}{x^{2} + 7 x + 10}$
184014	Solve for x	3x+y+4-(y+6)=14+x	$3 x + y + 4 - (y + 6) = 14 + x$
184015	Solve for x	(3+x)/-7=0	$\frac{3 + x}{- 7} = 0$
184016	Find the Exact Value	2-1/2	$2 - \frac{1}{2}$
184017	Simplify	((3^2)^2)^3	${({(3^{2})}^{2})}^{3}$
184018	Simplify	(x+8)/(x^2-4x+4)+(3x-2)/(x^2-4)	$\frac{x + 8}{x^{2} - 4 x + 4} + \frac{3 x - 2}{x^{2} - 4}$
184019	Find the x and y Intercepts	(x+2)(y+3)=0	$(x + 2) (y + 3) = 0$
184020	Graph	y<=-2x-4 y<x+2	$y \leq - 2 x - 4$ $y < x + 2$
184021	Solve for t	t^2=81	$t^{2} = 81$
184022	Simplify	1/2(4x+6)	$\frac{1}{2} (4 x + 6)$
184023	Find the Domain and Range	y = cube root of -x-3	$y = \sqrt[3]{- x} - 3$
184024	Simplify	(2x^2-18x)/(6x^4-102x^3+432x^2)*(x^2-64)/(x^2+3x-40)	$\frac{2 x^{2} - 18 x}{6 x^{4} - 102 x^{3} + 432 x^{2}} \cdot \frac{x^{2} - 64}{x^{2} + 3 x - 40}$
184025	Solve for x	5x+4x-68=34-8x	$5 x + 4 x - 68 = 34 - 8 x$
184026	Solve for c	1+3c=5(1-c)+8c	$1 + 3 c = 5 (1 - c) + 8 c$
184027	Solve for x	-2(3x-1)+x=14-x	$- 2 (3 x - 1) + x = 14 - x$
184028	Solve the System of Inequalities	-1<=(2x+3)/3<4	$- 1 \leq \frac{2 x + 3}{3} < 4$
184029	Solve for x	4(2x+4)^2+42=46	$4 {(2 x + 4)}^{2} + 42 = 46$
184030	Find the Directrix	y^2=4px	$y^{2} = 4 p x$
184031	Solve for y	w=x+y/z	$w = x + \frac{y}{z}$
184032	Factor	t-4t^2+2t^3	$t - 4 t^{2} + 2 t^{3}$
184033	Simplify/Condense	4/3 log base 5 of x-5/4 log base 5 of y-3/2 log base 5 of z	$\frac{4}{3} \log_{5} (x) - \frac{5}{4} \log_{5} (y) - \frac{3}{2} \log_{5} (z)$
184034	Simplify	(x^2+7x+12)/(x-3)*(x^2-6x+9)/(2x^2-18)	$\frac{x^{2} + 7 x + 12}{x - 3} \cdot \frac{x^{2} - 6 x + 9}{2 x^{2} - 18}$
184035	Evaluate	2÷(\|3-4\|)	$2 \div \| 3 - 4 \|$
184036	Simplify	(4x^5-7x^3-9x^2+18)-(14x^5-8x^4+11x^2+x)	$(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + 11 x^{2} + x)$
184037	Divide	1/(1+ square root of 3)	$\frac{1}{1 + \sqrt{3}}$
184038	Solve for x	4 6/8+2 1/2-x=0	$4 \frac{6}{8} + 2 \frac{1}{2} - x = 0$
184039	Factor	-4xy^3+12x^2y^2-8x^3y	$- 4 x y^{3} + 12 x^{2} y^{2} - 8 x^{3} y$
184040	Find the Exact Value	tan(420 degrees )	$\tan (420 °)$
184041	Simplify	(5x-3)/6+(x-9)/6	$\frac{5 x - 3}{6} + \frac{x - 9}{6}$
184042	Find the Distance Between Two Points	(0,-3) and (9,6)	$(0, - 3)$ and $(9, 6)$
184043	Solve Using the Quadratic Formula	x^2-9x-3=x	$x^{2} - 9 x - 3 = x$
184044	Evaluate	(3!)/(5!)	$\frac{3!}{5!}$
184045	Solve for x	x^2+(7/25)^2=1	$x^{2} + {(\frac{7}{25})}^{2} = 1$
184046	Find All Complex Solutions	x^2-3x=0	$x^{2} - 3 x = 0$
184047	Solve for x	square root of x-5=2	$\sqrt[2]{x - 5} = 2$
184048	Solve the Inequality for x	(-5+x)/4>1	$\frac{- 5 + x}{4} > 1$
184049	Find the Exact Value	(1/2)^1	${(\frac{1}{2})}^{1}$
184050	Evaluate	2cos(x)^2-1=0	$2 \cos^{2} (x) - 1 = 0$
184051	Find the x and y Intercepts	f(x)=-2x(x+1)(x+2)	$f (x) = - 2 x (x + 1) (x + 2)$
184052	Solve for x	x/a=b+3x	$\frac{x}{a} = b + 3 x$
184053	Solve the Absolute Value Inequality for p	2=\|8p+10\|	$2 = \| 8 p + 10 \|$
184054	Find the Exact Value	square root of (1,350)/600	$\sqrt{\frac{1, 350}{600}}$
184055	Solve the Inequality for x	(3x-10)/(x-4)>2	$\frac{3 x - 10}{x - 4} > 2$
184056	Solve Using the Quadratic Formula	x^8-3x^4+2=0	$x^{8} - 3 x^{4} + 2 = 0$
184057	Solve for x	7 1/2=(x+3)/2	$7 \frac{1}{2} = \frac{x + 3}{2}$
184058	Graph	y<x+7 y<-2x-5	$y < x + 7$ $y < - 2 x - 5$
184059	Find the Function	f(x)=9-x^2	$f (x) = 9 - x^{2}$
184060	Combine Like Terms	7(5n-8)+6(4+6n)	$7 (5 n - 8) + 6 (4 + 6 n)$
184061	Solve for x	x/(x+1)>=0	$\frac{x}{x + 1} \geq 0$
184062	Solve for r	(r-4)/(5r)=1/(5r)+1	$\frac{r - 4}{5 r} = \frac{1}{5 r} + 1$
184063	Find the Exact Value	pi/2+pi/2	$\frac{π}{2} + \frac{π}{2}$
184064	Find the First Term	a_n=((-1)^n)/(n^2)	$a_{n} = \frac{{(- 1)}^{n}}{n^{2}}$
184065	Graph	(-3/2,0)	$(- \frac{3}{2}, 0)$
184066	Find the x and y Intercepts	f(x)=x^3+x^2-12x	$f (x) = x^{3} + x^{2} - 12 x$
184067	Solve the System of Equations	y=x^2+12x+30 8x-y=10	$y = x^{2} + 12 x + 30$ $8 x - y = 10$
184068	Factor	a^(2n)b^(4n)-1/25	$a^{2 n} b^{4 n} - \frac{1}{25}$
184069	Solve the Inequality for x	2x^2<x+6	$2 x^{2} < x + 6$
184070	Solve for x	x/(x-6)=(x-2)/(2x-7)	$\frac{x}{x - 6} = \frac{x - 2}{2 x - 7}$
184071	Solve for v	a=(v-u)/t	$a = \frac{v - u}{t}$
184072	Simplify	(4xy^-2)/(12x^(-1/3)y^-5)	$\frac{4 x y^{- 2}}{12 x^{- \frac{1}{3}} y^{- 5}}$
184073	Simplify	(-7/8)(-3/4)	$(- \frac{7}{8}) (- \frac{3}{4})$
184074	Solve for θ	sec(theta)=1	$\sec (θ) = 1$
184075	Solve the Absolute Value Inequality for c	-9\|c+8\|=-99	$- 9 \| c + 8 \| = - 99$
184076	Evaluate	\|6(-7)-4\|-\|-4\|*\|7\|+8(3)	$\| 6 (- 7) - 4 \| - \| - 4 \| \cdot \| 7 \| + 8 (3)$
184077	Solve for w	square root of 2w+8=-w	$\sqrt{2 w + 8} = - w$
184078	Simplify the Radical Expression	square root of 25x	$\sqrt{25 x}$
184079	Write in Standard Form	f(x)=(x-3)^2+2	$f (x) = {(x - 3)}^{2} + 2$
184080	Solve for g	T=2pi square root of T/g	$T = 2 π \sqrt{\frac{T}{g}}$
184081	Simplify	(10x^3y^4)/(8x^3y^3)*(12x^4y)/(11x^3y^2)	$\frac{10 x^{3} y^{4}}{8 x^{3} y^{3}} \cdot \frac{12 x^{4} y}{11 x^{3} y^{2}}$
184082	Solve the System of Equations	7x+1/3y=-2/3 -1/2x+1/5y=9	$7 x + \frac{1}{3} y = - \frac{2}{3}$ $- \frac{1}{2} x + \frac{1}{5} y = 9$
184083	Find the Roots (Zeros)	3x^2+2x=-7	$3 x^{2} + 2 x = - 7$
184084	Simplify	(1-sec(-theta))/(sec(-theta))	$\frac{1 - \sec (- θ)}{\sec (- θ)}$
184085	Subtract	(3a^2+1)-(4+2a^2)	$(3 a^{2} + 1) - (4 + 2 a^{2})$
184086	Graph	y>2x-4 y<=2	$y > 2 x - 4$ $y \leq 2$
184087	Solve for z	square root of (53+5z)/7=2	$\sqrt{\frac{53 + 5 z}{7}} = 2$
184088	Subtract	(3x^2-2)/(3x-2)-x/(2-3x)	$\frac{3 x^{2} - 2}{3 x - 2} - \frac{x}{2 - 3 x}$
184089	Solve for x	4\|8x-2\|=8	$4 \| 8 x - 2 \| = 8$
184090	Solve for a	(x^(1/2))/(x^(1/6))=x^a	$\frac{x^{\frac{1}{2}}}{x^{\frac{1}{6}}} = x^{a}$
184091	Solve the System of Equations	x+2y+2z=-2 2x-y-2z=-5 x+2y+4z=0	$x + 2 y + 2 z = - 2$ $2 x - y - 2 z = - 5$ $x + 2 y + 4 z = 0$
184092	Divide	(6-i)/(5+4i)	$\frac{(6 - i)}{(5 + 4 i)}$
184093	Evaluate	tan(x) = square root of 3	$\tan (x) = \sqrt{3}$
184094	Solve the Inequality for x	\|x\|<=9	$\| x \| \leq 9$
184095	Simplify the Radical Expression	fourth root of x^9	$\sqrt[4]{x^{9}}$
184096	Simplify	2(x^2-x)+3(x^2-x)	$2 (x^{2} - x) + 3 (x^{2} - x)$
184097	Graph	y=-1/2 square root of x-2-3	$y = - \frac{1}{2} \sqrt{x - 2} - 3$
184098	Solve the System of Equations	2x+y+z=-3 -2x+y+2z=4 -x+2y+z=5	$2 x + y + z = - 3$ $- 2 x + y + 2 z = 4$ $- x + 2 y + z = 5$
184099	Find f(g(x))	f(x)=5x-3 and g(x)=2x^2-5	$f (x) = 5 x - 3$ and $g (x) = 2 x^{2} - 5$
184100	Solve the Inequality for x	7+x<5	$7 + x < 5$