Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166001	Solve for a	4(a+3)=12+4a	$4 (a + 3) = 12 + 4 a$
166002	Solve for x	\|x-7\|-\|x-2\|=3	$\| x - 7 \| - \| x - 2 \| = 3$
166003	Graph	x^2-2x>=8	$x^{2} - 2 x \geq 8$
166004	Solve for b	3/x+5/(x^2)=(ax+b)/(x^2)	$\frac{3}{x} + \frac{5}{x^{2}} = \frac{a x + b}{x^{2}}$
166005	Simplify	((5a+15)/8)÷((a^2-9)/(4a))	$\frac{5 a + 15}{8} \div \frac{a^{2} - 9}{4 a}$
166006	Solve for x	(6x+5)/(x+2)-1/x=-2/(x^2+2x)	$\frac{6 x + 5}{x + 2} - \frac{1}{x} = - \frac{2}{x^{2} + 2 x}$
166007	Find the x and y Intercepts	f(x)=(x^2-5x)/(-2x^2)	$f (x) = \frac{x^{2} - 5 x}{- 2 x^{2}}$
166008	Graph	4x-2y=2 x-2y=-4	$4 x - 2 y = 2$ $x - 2 y = - 4$
166009	Evaluate	log of x+ log of x-3=1	$\log (x) + \log (x - 3) = 1$
166010	Graph	y=-1/2\|x-4\|	$y = - \frac{1}{2} \| x - 4 \|$
166011	Find the LCD	-3/(x^2-4x-21) and 2/(x^2-4)	$\frac{- 3}{x^{2} - 4 x - 21}$ and $\frac{2}{x^{2} - 4}$
166012	Find All Complex Solutions	square root of 2x+3+ square root of x-2=2	$\sqrt{2 x + 3} + \sqrt{x - 2} = 2$
166013	Solve for x	-4/5=1/2x-3/4	$- \frac{4}{5} = \frac{1}{2} x - \frac{3}{4}$
166014	Find the Holes in the Graph	f(x)=(x^2+x)/(-5x-5)	$f (x) = \frac{x^{2} + x}{- 5 x - 5}$
166015	Solve for x	\|ax+b\|=c	$\| a x + b \| = c$
166016	Simplify	11y^2+10y-9y^2-8y+5y^0	$11 y^{2} + 10 y - 9 y^{2} - 8 y + 5 y^{0}$
166017	Solve for d	19d-16d-d-d-1=12	$19 d - 16 d - d - d - 1 = 12$
166018	Solve for y	2y=7(y-2)+4	$2 y = 7 (y - 2) + 4$
166019	Solve for x	cube root of 1/8-x=-1/2	$\sqrt[3]{\frac{1}{8} - x} = - \frac{1}{2}$
166020	Solve for a	a=(a+b)/2h	$a = \frac{(a + b)}{2} h$
166021	Solve for a	13=\|3a-5\|	$13 = \| 3 a - 5 \|$
166022	Solve the Inequality for m	-3m-2(6m+10)<=-3m+8+4m	$- 3 m - 2 (6 m + 10) \leq - 3 m + 8 + 4 m$
166023	Solve the System of Inequalities	-3<=p/2<0	$- 3 \leq \frac{p}{2} < 0$
166024	Solve for x	h(x)=-7x , h(x)=63	$h (x) = - 7 x$ , $h (x) = 63$
166025	Simplify	(32a^3b^2)/(8ab^2)	$\frac{32 a^{3} b^{2}}{8 a b^{2}}$
166026	Solve for a	15-a+4a=-6	$15 - a + 4 a = - 6$
166027	Find the Exact Value	cos(arccsc(u))	$\cos (arccsc (u))$
166028	Solve for x	(x+2)/(x-2)=-3/x	$\frac{x + 2}{x - 2} = \frac{- 3}{x}$
166029	Solve the Inequality for d	-5d-(-9d+7)>=-d+10+9d	$- 5 d - (- 9 d + 7) \geq - d + 10 + 9 d$
166030	Graph	n/-3>=1	$\frac{n}{- 3} \geq 1$
166031	Find the Exact Value	square root of 1/4	$\sqrt{\frac{1}{4}}$
166032	Divide	((3x-6)/(x^3))÷((x-2)/(2x-1))	$\frac{3 x - 6}{x^{3}} \div \frac{x - 2}{2 x - 1}$
166033	Find the Union	x>=5 , x-1>=2	$x \geq 5$ , $x - 1 \geq 2$
166034	Solve for b	-13.3=-1.7-2.9b	$- 13.3 = - 1.7 - 2.9 b$
166035	Solve the System of Equations	y=x^2+3 and y=-2x^2+3	$y = x^{2} + 3$ and $y = - 2 x^{2} + 3$
166036	Find the x and y Intercepts	g(x)=(1/3)^x-1	$g (x) = {(\frac{1}{3})}^{x} - 1$
166037	Simplify	6 square root of 75mp^2q^3	$6 \sqrt{75 m p^{2} q^{3}}$
166038	Solve for x	(3x)/4=(2x+7)/5	$\frac{3 x}{4} = \frac{2 x + 7}{5}$
166039	Solve the Inequality for r	5-3(-7r+1)>-5r-3+9r	$5 - 3 (- 7 r + 1) > - 5 r - 3 + 9 r$
166040	Solve for b	-5.3=2.7-b/0.1	$- 5.3 = 2.7 - \frac{b}{0.1}$
166041	Solve the Absolute Value Inequality for x	\|x-3\|=1	$\| x - 3 \| = 1$
166042	Solve the Inequality for x	(x-3)(x-4)(x-5)<=0	$(x - 3) (x - 4) (x - 5) \leq 0$
166043	Simplify	2x+x(x+6)	$2 x + x (x + 6)$
166044	Simplify	(5x+2)/(x-3)-2/(3-x)	$\frac{5 x + 2}{x - 3} - \frac{2}{3 - x}$
166045	Subtract	9x^2+7x-2 from 8x-10	$9 x^{2} + 7 x - 2$ from $8 x - 10$
166046	Divide Using Long Polynomial Division	(3x^3+10x^2+7x)/(x+1)	$\frac{3 x^{3} + 10 x^{2} + 7 x}{x + 1}$
166047	Factor	30x^5y^8z-18xy^4	$30 x^{5} y^{8} z - 18 x y^{4}$
166048	Graph Using a Table of Values	f(x)=4^(-x)	$f (x) = 4^{- x}$
166049	Solve for k	(3k-7)/5=16	$\frac{3 k - 7}{5} = 16$
166050	Solve for x	-5\|x/8\|=-5	$- 5 \| \frac{x}{8} \| = - 5$
166051	Simplify	(39x^5z^4)^0*18x^2y	${(39 x^{5} z^{4})}^{0} \cdot 18 x^{2} y$
166052	Evaluate	(\|1/x\|)/(1/x)	$\frac{\| \frac{1}{x} \|}{\frac{1}{x}}$
166053	Graph	y<2/3x+2 y>-4/3x+1	$y < \frac{2}{3} x + 2$ $y > - \frac{4}{3} x + 1$
166054	Graph	q(x)=-3/2\|x\|	$q (x) = - \frac{3}{2} \| x \|$
166055	Describe the Transformation	g(x)=x+4	$g (x) = x + 4$
166056	Solve for y	-7.75=-y/0.8-3.5	$- 7.75 = - \frac{y}{0.8} - 3.5$
166057	Find the LCD	x/(5x-5) and 3/(2x-2)	$\frac{x}{5 x - 5}$ and $\frac{3}{2 x - 2}$
166058	Combine Like Terms	9a+8-2a-3-5a	$9 a + 8 - 2 a - 3 - 5 a$
166059	Graph	F(x)=(1/2)^x+1	$F (x) = {(\frac{1}{2})}^{x} + 1$
166060	Find the LCD	1/(2x-6) and (2x)/(7x-21)	$\frac{1}{2 x - 6}$ and $\frac{2 x}{7 x - 21}$
166061	Solve for x	(2x)/3-(5x)/9-x/6-(5x)/12=13/2	$\frac{2 x}{3} - \frac{5 x}{9} - \frac{x}{6} - \frac{5 x}{12} = \frac{13}{2}$
166062	Divide	((n-4)/(7n^2-28n))÷((3n)/(n-2))	$\frac{n - 4}{7 n^{2} - 28 n} \div \frac{3 n}{n - 2}$
166063	Factor	-4q^3+10q^2-36q+90	$- 4 q^{3} + 10 q^{2} - 36 q + 90$
166064	Simplify	3/(-i)	$\frac{3}{- i}$
166065	Solve the Inequality for x	\|x-2\|>11	$\| x - 2 \| > 11$
166066	Solve Using the Quadratic Formula	f(x)=x^2-2x+3	$f (x) = x^{2} - 2 x + 3$
166067	Solve for x	x+1/5(x-1)=1	$x + \frac{1}{5} (x - 1) = 1$
166068	Solve for x	-3x-4(4x-8)=3(-8x-1)	$- 3 x - 4 (4 x - 8) = 3 (- 8 x - 1)$
166069	Solve for x	\|4x-1\|=2x+13	$\| 4 x - 1 \| = 2 x + 13$
166070	Simplify	(x^2+3x)(x^2-x+4)	$(x^{2} + 3 x) (x^{2} - x + 4)$
166071	Graph	4x+y>0	$4 x + y > 0$
166072	Simplify	( square root of 6)(4 square root of -9)	$(\sqrt{6}) (4 \sqrt{- 9})$
166073	Solve the Inequality for m	-5m<10	$- 5 m < 10$
166074	Find the LCD	(4x)/(x^2-6x+8) and 3/(x^2-7x+12)	$\frac{4 x}{x^{2} - 6 x + 8}$ and $\frac{3}{x^{2} - 7 x + 12}$
166075	Find the Holes in the Graph	f(x)=(5x^2+25x)/(-3x^2-21x-30)	$f (x) = \frac{5 x^{2} + 25 x}{- 3 x^{2} - 21 x - 30}$
166076	Solve for y	ax+6y=24	$a x + 6 y = 24$
166077	Solve the Inequality for k	-4+5(-5k-2)<=-4k+2+3	$- 4 + 5 (- 5 k - 2) \leq - 4 k + 2 + 3$
166078	Solve the System of Equations	y=2x-3 y=x^2-2x-8	$y = 2 x - 3$ $y = x^{2} - 2 x - 8$
166079	Divide	(2x^2)/(2x)	$\frac{2 x^{2}}{2 x}$
166080	Solve for b	d=abc for b	$d = a b c$ for $b$
166081	Convert to Set Notation	f(x)<0	$f (x) < 0$
166082	Solve for x	3 square root of x+2 = square root of x+4	$3 \sqrt{x + 2} = \sqrt{x + 4}$
166083	Find the Holes in the Graph	f(x)=(-3x^2+21x-36)/(5x-20)	$f (x) = \frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
166084	Simplify	(9x^(2/5)y^(3/5))^(5/2)	${(9 x^{\frac{2}{5}} y^{\frac{3}{5}})}^{\frac{5}{2}}$
166085	Solve the Inequality for r	-6+4(9r-5)<=2r+3-3r	$- 6 + 4 (9 r - 5) \leq 2 r + 3 - 3 r$
166086	Solve for y	4=\|y+6\|	$4 = \| y + 6 \|$
166087	Solve the Inequality for h	6-2(-2h+1)<=5h+5+h	$6 - 2 (- 2 h + 1) \leq 5 h + 5 + h$
166088	Solve for x	x^2=16x-65	$x^{2} = 16 x - 65$
166089	Solve for r	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
166090	Find the Inverse	f(x)=4 cube root of x	$f (x) = 4 \sqrt[3]{x}$
166091	Graph	y=1/(1+e^(-x))	$y = \frac{1}{1 + e^{- x}}$
166092	Find All Complex Solutions	sec(theta)-2=0	$\sec (θ) - 2 = 0$
166093	Find the Midpoint	(-9,-2) and (-8,2)	$(- 9, - 2)$ and $(- 8, 2)$
166094	Solve for a	a/0.2+2.7=-16.3	$\frac{a}{0.2} + 2.7 = - 16.3$
166095	Solve for c	\|-6+5c\|=16	$\| - 6 + 5 c \| = 16$
166096	Solve for y	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
166097	Solve the Inequality for v	-6v-4(-10v-9)<-7v-10-4v	$- 6 v - 4 (- 10 v - 9) < - 7 v - 10 - 4 v$
166098	Graph	y>=\|x\|-2	$y \geq \| x \| - 2$
166099	Graph	-2x+3y>=1 -5x+6y<=1	$- 2 x + 3 y \geq 1$ $- 5 x + 6 y \leq 1$
166100	Solve for w	\|4w-1\|=5w+37	$\| 4 w - 1 \| = 5 w + 37$