Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182001	Simplify	x^2 square root of 150x^5y^4	$x^{2} \sqrt{150 x^{5} y^{4}}$
182002	Multiply	-7*1/2	$- 7 \cdot \frac{1}{2}$
182003	Simplify the Radical Expression	square root of x^19	$\sqrt{x^{19}}$
182004	Solve for θ	tan(theta)=4	$\tan (θ) = 4$
182005	Find the Exact Value	125^(1/3)	$125^{\frac{1}{3}}$
182006	Graph	y=-1/2cot(2x)	$y = - \frac{1}{2} \cot (2 x)$
182007	Evaluate	f(x-2)	$f (x - 2)$
182008	Divide	(1/4)÷(-3/8)	$\frac{1}{4} \div (- \frac{3}{8})$
182009	Solve for x	(x+2)/3-(2-x)/6=x-2	$\frac{x + 2}{3} - \frac{2 - x}{6} = x - 2$
182010	Simplify	(p/(q^2))/((p^2)/q)	$\frac{\frac{p}{q^{2}}}{\frac{p^{2}}{q}}$
182011	Find the Domain and Range	f(x)=2+4^(x-1)	$f (x) = 2 + 4^{x - 1}$
182012	Solve the System of Inequalities	-24<=-4x+8 or -4x+8<=-36	$- 24 \leq - 4 x + 8$ or $- 4 x + 8 \leq - 36$
182013	Evaluate	log base b of square root of b	$\log_{b} (\sqrt{b})$
182014	Solve for u	-2/u=-24/25	$- \frac{2}{u} = - \frac{24}{25}$
182015	Solve the Rational Equation for x	2/(x-3)+x/2=-1/2	$\frac{2}{x - 3} + \frac{x}{2} = - \frac{1}{2}$
182016	Factor	x(a+2)-a-2+3(a+2)	$x (a + 2) - a - 2 + 3 (a + 2)$
182017	Solve the System of Equations	y=-2x^2+2 and y=-6	$y = - 2 x^{2} + 2$ and $y = - 6$
182018	Solve Using the Quadratic Formula	f(x)=x^2+2x+3	$f (x) = x^{2} + 2 x + 3$
182019	Combine Like Terms	4n-(7-6n)	$4 n - (7 - 6 n)$
182020	Find the Midpoint	(9,2) and (5,5)	$(9, 2)$ and $(5, 5)$
182021	Solve for x	square root of x-1=-x+7	$\sqrt{x - 1} = - x + 7$
182022	Write in Standard Form	y=11/4x-2 5/8	$y = \frac{11}{4} x - 2 \frac{5}{8}$
182023	Solve for t	square root of 1-4t-8=-6	$\sqrt{1 - 4 t} - 8 = - 6$
182024	Simplify	5(8+m)+2(7+7m)	$5 (8 + m) + 2 (7 + 7 m)$
182025	Solve for n	5n-7p+3n=25p	$5 n - 7 p + 3 n = 25 p$
182026	Solve for a	(x^(2/5))^6=x^a	${(x^{\frac{2}{5}})}^{6} = x^{a}$
182027	Solve for x	1/5x^2+2=3/5x^2	$\frac{1}{5} x^{2} + 2 = \frac{3}{5} x^{2}$
182028	Factor	P(x)=x^4+4x^2	$P (x) = x^{4} + 4 x^{2}$
182029	Simplify the Radical Expression	square root of 16x^3	$\sqrt{16 x^{3}}$
182030	Solve the Inequality for x	-3(4-x)+6<9-2x	$- 3 (4 - x) + 6 < 9 - 2 x$
182031	Find f(g(x))	f(x)=3x-1 g(x)=x^2-x-4	$f (x) = 3 x - 1$ $g (x) = x^{2} - x - 4$
182032	Rationalize the Denominator	6/( square root of 18)	$\frac{6}{\sqrt{18}}$
182033	Convert to Interval Notation	x<-5 or x>1	$x < - 5$ or $x > 1$
182034	Solve for x	4=x square root of 3	$4 = x \sqrt{3}$
182035	Solve for y	square root of y^2+4 = square root of 4y	$\sqrt{y^{2} + 4} = \sqrt{4 y}$
182036	Solve for a	(x^(6/5))/x=x^a	$\frac{x^{\frac{6}{5}}}{x} = x^{a}$
182037	Solve for b	x=(ab+c)/b-d	$x = \frac{a b + c}{b} - d$
182038	Graph	(dy)/(dx)=y/4+cos(x)^2	$\frac{d y}{d x} = \frac{y}{4} + \cos^{2} (x)$
182039	Solve for x	2/3(3-6x)=-3(8x-4)	$\frac{2}{3} (3 - 6 x) = - 3 (8 x - 4)$
182040	Solve the Inequality for x	(2-5x)/(x-2)>=3	$\frac{2 - 5 x}{x - 2} \geq 3$
182041	Solve for m	s=c+mc	$s = c + m c$
182042	Simplify	2x+(3x-4y+(-5x+y-3(y-x)+2y))	$2 x + (3 x - 4 y + (- 5 x + y - 3 (y - x) + 2 y))$
182043	Graph	-1/2\|x\|	$- \frac{1}{2} \| x \|$
182044	Subtract	Subtract -9x-7 from 8x^2-5x+9	Subtract $- 9 x - 7$ from $8 x^{2} - 5 x + 9$
182045	Write in Standard Form	5 square root of -16+3 square root of -81	$5 \sqrt{- 16} + 3 \sqrt{- 81}$
182046	Evaluate	(3pi)/4+pi(1)	$\frac{3 π}{4} + π (1)$
182047	Write in Standard Form	9x+3x^2-4x^5+x^3+2x^4	$9 x + 3 x^{2} - 4 x^{5} + x^{3} + 2 x^{4}$
182048	Simplify	(1/x)/x	$\frac{(\frac{1}{x})}{x}$
182049	Solve for a	x^(1/5)x^4=x^a	$x^{\frac{1}{5}} x^{4} = x^{a}$
182050	Solve for x	\|2x+4\|>=6	$\| 2 x + 4 \| \geq 6$
182051	Simplify	limit as x approaches 4 of ( square root of x-2)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x} - 2}{x - 4}$
182052	Rationalize the Denominator	(-1+i)/(-6i)	$\frac{- 1 + i}{- 6 i}$
182053	Solve for x	(10x+17-(x-9))/2=3x+1	$\frac{10 x + 17 - (x - 9)}{2} = 3 x + 1$
182054	Solve for d	square root of 2d-5 = square root of d-1	$\sqrt{2 d - 5} = \sqrt{d - 1}$
182055	Simplify	9(3x+7)-4(6x+7)-1	$9 (3 x + 7) - 4 (6 x + 7) - 1$
182056	Evaluate	((1)^2+(1)-12)/((1)^2-4)	$\frac{{(1)}^{2} + (1) - 12}{{(1)}^{2} - 4}$
182057	Multiply	1/4*-6	$\frac{1}{4} \cdot - 6$
182058	Write in Standard Form	(-2m^3+3m^2-m)(4m^2+m-5)	$(- 2 m^{3} + 3 m^{2} - m) (4 m^{2} + m - 5)$
182059	Solve for z	3+6z=13+6z	$3 + 6 z = 13 + 6 z$
182060	Graph	y = log base x of x+3	$y = \log_{x} (x + 3)$
182061	Solve the Inequality for m	6m+2<5m-4	$6 m + 2 < 5 m - 4$
182062	Find the Inverse	y=x^(1/2)-2	$y = x^{\frac{1}{2}} - 2$
182063	Solve the Inequality for v	84>=-7(v-9)	$84 \geq - 7 (v - 9)$
182064	Find the Inverse	f(x)=-(2x)/3	$f (x) = - \frac{2 x}{3}$
182065	Solve the Inequality for x	4x+2<3x-3	$4 x + 2 < 3 x - 3$
182066	Simplify	(1-5/x)/(x/5-(x^2)/25)	$\frac{1 - \frac{5}{x}}{\frac{x}{5} - \frac{x^{2}}{25}}$
182067	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-x-6=0	$2 x^{2} - x - 6 = 0$
182068	Find the Midpoint	(10,6) and (3,1)	$(10, 6)$ and $(3, 1)$
182069	Factor	a^3-3+3a^2-a	$a^{3} - 3 + 3 a^{2} - a$
182070	Solve for p	-4(2p+5)+8p=-11	$- 4 (2 p + 5) + 8 p = - 11$
182071	Solve for x	1/ax-4=9	$\frac{1}{a} x - 4 = 9$
182072	Convert to Logarithmic Form	0.5*e^(4z)=13	$0.5 \cdot e^{4 z} = 13$
182073	Find the First Term	n+4	$n + 4$
182074	Solve for h	-1/8(2h+4)+1/2=-7/4	$- \frac{1}{8} (2 h + 4) + \frac{1}{2} = - \frac{7}{4}$
182075	Simplify	2/5+6 3/7-2 2/3	$\frac{2}{5} + 6 \frac{3}{7} - 2 \frac{2}{3}$
182076	Find the LCD	3/(x+1)+5/(x^2-2x-3)	$\frac{3}{x + 1} + \frac{5}{x^{2} - 2 x - 3}$
182077	Solve for x	w=1/9(x+y-z)	$w = \frac{1}{9} (x + y - z)$
182078	Find the Roots (Zeros)	x^3-3x+2=0	$x^{3} - 3 x + 2 = 0$
182079	Find the Midpoint	(6,3) and (2,7)	$(6, 3)$ and $(2, 7)$
182080	Simplify	(6-2x+7x^2)-(10x-3+3x^2)	$(6 - 2 x + 7 x^{2}) - (10 x - 3 + 3 x^{2})$
182081	Graph	y=3/2cos(x+pi/4)	$y = \frac{3}{2} \cos (x + \frac{π}{4})$
182082	Simplify	(xz-4z)/(z^2(4-x))	$\frac{(x z - 4 z)}{z^{2} (4 - x)}$
182083	Solve for x	-3\|x+9\|+2=10\|x+9\|+5	$- 3 \| x + 9 \| + 2 = 10 \| x + 9 \| + 5$
182084	Solve for d	fd-m=8	$f d - m = 8$
182085	Convert to Interval Notation	f+11<=5/3	$f + 11 \leq \frac{5}{3}$
182086	Simplify	1/(x-1)-x/(x-1)	$\frac{1}{x - 1} - \frac{x}{x - 1}$
182087	Solve the Inequality for x	-2(x-3)-4>=3x-5(x-1)	$- 2 (x - 3) - 4 \geq 3 x - 5 (x - 1)$
182088	Graph	y=2 cube root of -x-4	$y = 2 \sqrt[3]{- x - 4}$
182089	Find the Exact Value	3/4+1/6	$\frac{3}{4} + \frac{1}{6}$
182090	Write Using Negative Exponents	1/x	$\frac{1}{x}$
182091	Solve for x	(18/x+x)^2+2(18/x+x)=99	${(\frac{18}{x} + x)}^{2} + 2 (\frac{18}{x} + x) = 99$
182092	Solve for x	2x+kx=m	$2 x + k x = m$
182093	Simplify	3/(p+4)+(2p+32)/(p^2-16)	$\frac{3}{p + 4} + \frac{2 p + 32}{p^{2} - 16}$
182094	Complete the Square	12x=13-x^2	$12 x = 13 - x^{2}$
182095	Solve by Factoring	30x+27x^2-3x^3=0	$30 x + 27 x^{2} - 3 x^{3} = 0$
182096	Evaluate	2/9+1/7(2/3)^2	$\frac{2}{9} + \frac{1}{7} {(\frac{2}{3})}^{2}$
182097	Graph Using a Table of Values	f(x)=2 log base 3 of x	$f (x) = 2 \log_{3} (x)$
182098	Graph	y<x-5 y<=-1/3x-1	$y < x - 5$ $y \leq - \frac{1}{3} x - 1$
182099	Solve for x	2/3+7/x=11/x	$\frac{2}{3} + \frac{7}{x} = \frac{11}{x}$
182100	Simplify	9-18÷(3^2)	$9 - 18 \div 3^{2}$