Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171001	Simplify	4/5 square root of 72y^7- square root of 128y^7+5y^3 square root of 18y	$\frac{4}{5} \sqrt{72 y^{7}} - \sqrt{128 y^{7}} + 5 y^{3} \sqrt{18 y}$
171002	Graph	g(x)=f(x)+6	$g (x) = f (x) + 6$
171003	Evaluate	(14+17)-(6*12)/3	$(14 + 17) - \frac{6 \cdot 12}{3}$
171004	Solve for b	3(2b+3)^2=36	$3 {(2 b + 3)}^{2} = 36$
171005	Solve for t	4(2^t)=10	$4 (2^{t}) = 10$
171006	Solve the System of Inequalities	12<3x+6 or 21>=3x+6	$12 < 3 x + 6$ or $21 \geq 3 x + 6$
171007	Simplify	((6n^2-23n+7)/(8n^3-28n^2))÷((1-9n^2)/(2n^2-10n))	$\frac{6 n^{2} - 23 n + 7}{8 n^{3} - 28 n^{2}} \div \frac{1 - 9 n^{2}}{2 n^{2} - 10 n}$
171008	Subtract	4/6-1/3	$\frac{4}{6} - \frac{1}{3}$
171009	Solve for x	4(x-1)-2(3x+5)=-3x-1	$4 (x - 1) - 2 (3 x + 5) = - 3 x - 1$
171010	Find the Domain and Range	f(x)=-1/4\|x-5\|	$f (x) = - \frac{1}{4} \| x - 5 \|$
171011	Find the Exact Value	cos(570 degrees )	$\cos (570 °)$
171012	Simplify	square root of 20* square root of -5	$\sqrt{20} \cdot \sqrt{- 5}$
171013	Solve for θ	2sin(theta)^2=sin(theta)	$2 \sin^{2} (θ) = \sin (θ)$
171014	Simplify the Radical Expression	1/( square root of 7)	$\frac{1}{\sqrt{7}}$
171015	Simplify	square root of 45xy^3z^2	$\sqrt{45 x y^{3} z^{2}}$
171016	Evaluate	3(x+y)=y	$3 (x + y) = y$
171017	Simplify	(x^3*x^-2)/(x^5)	$\frac{x^{3} \cdot x^{- 2}}{x^{5}}$
171018	Simplify	(2a-5+b)*5	$(2 a - 5 + b) \cdot 5$
171019	Solve for b	(11a+b)/3=6a	$\frac{11 a + b}{3} = 6 a$
171020	Solve for y	y(2y+5)=0	$y (2 y + 5) = 0$
171021	Solve by Substitution	3x-y=10 2x=y	$3 x - y = 10$ $2 x = y$
171022	Solve for x	x/9*15-47=28	$\frac{x}{9} \cdot 15 - 47 = 28$
171023	Graph	y=-3/2cos(2x)	$y = - \frac{3}{2} \cos (2 x)$
171024	Solve the System of Inequalities	-21<3x+3 or 27>=3x+3	$- 21 < 3 x + 3$ or $27 \geq 3 x + 3$
171025	Simplify	(1/x)/(1/y)	$\frac{\frac{1}{x}}{\frac{1}{y}}$
171026	Solve for x	x/2-(3x)/5=(x-6)/2	$\frac{x}{2} - \frac{3 x}{5} = \frac{x - 6}{2}$
171027	Evaluate	(1+h)^2	${(1 + h)}^{2}$
171028	Find the Product	(3x+y)^2	${(3 x + y)}^{2}$
171029	Solve the System of Equations	y=3x y=x^2-10	$y = 3 x$ $y = x^{2} - 10$
171030	Find the Exact Value	60÷5(7-5)	$60 \div 5 (7 - 5)$
171031	Factor	p(x)=x^3+x^2+x+1	$p (x) = x^{3} + x^{2} + x + 1$
171032	Simplify	8*(11i+2)	$8 \cdot (11 i + 2)$
171033	Simplify	(x^-2y^0z^2)/(xy)	$\frac{x^{- 2} y^{0} z^{2}}{x y}$
171034	Divide	((x-2)/2)÷((x-2)/5)	$\frac{x - 2}{2} \div \frac{x - 2}{5}$
171035	Factor	8q^4t+2q^3t^2-6q^2t^4	$8 q^{4} t + 2 q^{3} t^{2} - 6 q^{2} t^{4}$
171036	Solve Using the Quadratic Formula	-x^2=4	$- x^{2} = 4$
171037	Solve the Inequality for x	2+4/9x>=4+x	$2 + \frac{4}{9} x \geq 4 + x$
171038	Simplify	(x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)	$(x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)$
171039	Evaluate	(2/5+1/2)/(1/10+3/15)	$\frac{\frac{2}{5} + \frac{1}{2}}{\frac{1}{10} + \frac{3}{15}}$
171040	Factor	(a^2-b^2)	$(a^{2} - b^{2})$
171041	Find the Exact Value	-\|-3\|	$- \| - 3 \|$
171042	Simplify	(-3x^2+6x)/(18xy)	$\frac{- 3 x^{2} + 6 x}{18 x y}$
171043	Graph	f(x)=1/2(x-1)^2	$f (x) = \frac{1}{2} {(x - 1)}^{2}$
171044	Simplify	( square root of -9)(-7 square root of -100)	$(\sqrt{- 9}) (- 7 \sqrt{- 100})$
171045	Solve the Inequality for z	z/-4>=2	$\frac{z}{- 4} \geq 2$
171046	Simplify	((5k^3b^2)^-2)/(5k^7)	$\frac{{(5 k^{3} b^{2})}^{- 2}}{5 k^{7}}$
171047	Evaluate the Function	f(-2)=2^-2	$f (- 2) = 2^{- 2}$
171048	Solve for t	(t-2)/12=7/8	$\frac{t - 2}{12} = \frac{7}{8}$
171049	Solve for c	-1/2(c-9)=2	$- \frac{1}{2} (c - 9) = 2$
171050	Solve for x	f(10)=1/2x^2+2x-5	$f (10) = \frac{1}{2} x^{2} + 2 x - 5$
171051	Simplify	(x+3)/(x^2-25)-(x-1)/(x-5)+3/(x+3)	$\frac{x + 3}{x^{2} - 25} - \frac{x - 1}{x - 5} + \frac{3}{x + 3}$
171052	Simplify	( square root of 5- square root of 6)( square root of 5+ square root of 2)	$(\sqrt{5} - \sqrt{6}) (\sqrt{5} + \sqrt{2})$
171053	Simplify	((2^3)^10*2^-8)/(2^-7)	$\frac{{(2^{3})}^{10} \cdot 2^{- 8}}{2^{- 7}}$
171054	Solve for z	2/5(z+1)=y	$\frac{2}{5} (z + 1) = y$
171055	Simplify	( square root of -2)(8 square root of -7)	$(\sqrt{- 2}) (8 \sqrt{- 7})$
171056	Find the Holes in the Graph	f(x)=(x^2-100)/(2x^2+10x-100)	$f (x) = \frac{x^{2} - 100}{2 x^{2} + 10 x - 100}$
171057	Simplify	1^(-1/2)	$1^{- \frac{1}{2}}$
171058	Find u(w(x))	u(x)=x^2+6 w(x) = square root of x+9	$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 9}$
171059	Evaluate	7+2^2*6+2^3-6	$7 + 2^{2} \cdot 6 + 2^{3} - 6$
171060	Solve the Inequality for g	-4<=g/5	$- 4 \leq \frac{g}{5}$
171061	Evaluate	3^2+(2^3-8)^5	$3^{2} + {(2^{3} - 8)}^{5}$
171062	Solve for g	-10(g-6)=65	$- 10 (g - 6) = 65$
171063	Evaluate	x=(-b+- square root of b^2-4ac)/(2a)	$x = \frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
171064	Graph Using a Table of Values	y=x^2-2x	$y = x^{2} - 2 x$
171065	Find the Function	f(x)=3x^2+1	$f (x) = 3 x^{2} + 1$
171066	Simplify	(3x^2)/2-(-2x^2)/2	$\frac{3 x^{2}}{2} - \frac{- 2 x^{2}}{2}$
171067	Graph	y<3/2x-2 y<3/2x-8	$y < \frac{3}{2} x - 2$ $y < \frac{3}{2} x - 8$
171068	Find the Discriminant	-x^2+2x+66=-2x^2+1	$- x^{2} + 2 x + 66 = - 2 x^{2} + 1$
171069	Solve for x	2^2+2^2=x^2	$2^{2} + 2^{2} = x^{2}$
171070	Graph	y=3 log base 2 of -x-9	$y = 3 \log_{2} (- x) - 9$
171071	Find the Point-Slope Form	y=3x+1	$y = 3 x + 1$
171072	Find All Complex Solutions	x^2=0	$x^{2} = 0$
171073	Solve for n	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
171074	Solve for x	3^(2x)=9^(3-x)	$3^{2 x} = 9^{3 - x}$
171075	Graph Using a Table of Values	f(x)=(2x-2)/(-x+4)	$f (x) = \frac{2 x - 2}{- x + 4}$
171076	Graph	y=4sin(3/2)(theta-pi)+3	$y = 4 \sin (\frac{3}{2}) (θ - π) + 3$
171077	Factor by Grouping	a^2+2ab+b^2	$a^{2} + 2 a b + b^{2}$
171078	Solve for E	I=E/R	$I = \frac{E}{R}$
171079	Solve for x	5/(x^2)-43/x=18	$\frac{5}{x^{2}} - \frac{43}{x} = 18$
171080	Divide	(-3 5/9)÷3	$- 3 \frac{5}{9} \div 3$
171081	Evaluate	1-1/((2)^2)	$1 - \frac{1}{{(2)}^{2}}$
171082	Simplify	6^(-5/4)*6^(-8/7)	$6^{- \frac{5}{4}} \cdot 6^{- \frac{8}{7}}$
171083	Convert to Interval Notation	-x-6<=-3 or -4x+3>-1	$- x - 6 \leq - 3$ or $- 4 x + 3 > - 1$
171084	Simplify	3/((-5/x)^2-7)	$\frac{3}{{(- \frac{5}{x})}^{2} - 7}$
171085	Graph Using a Table of Values	f(x)=-4	$f (x) = - 4$
171086	Solve for k	8-12\|k+5\|=-4	$8 - 12 \| k + 5 \| = - 4$
171087	Solve for t	-2=-5t+10+2t	$- 2 = - 5 t + 10 + 2 t$
171088	Simplify	(a^-1b^(1/3)*a^(-4/3)b^2)^2	${(a^{- 1} b^{\frac{1}{3}} \cdot a^{- \frac{4}{3}} b^{2})}^{2}$
171089	Factor	33x^4+22y^3z	$33 x^{4} + 22 y^{3} z$
171090	Evaluate	tan(pi/4)^2sec(pi/4)+sec(pi/4)^3	$\tan^{2} (\frac{π}{4}) \sec (\frac{π}{4}) + \sec^{3} (\frac{π}{4})$
171091	Solve for b	a=1/2(a+b)	$a = \frac{1}{2} (a + b)$
171092	Find the Domain and Range	y=-(2x^2-4x-1)	$y = - (2 x^{2} - 4 x - 1)$
171093	Graph	y=\|x\|+x	$y = \| x \| + x$
171094	Solve the Inequality for x	1/2(4x-2)-2/3(6x+9)<=4	$\frac{1}{2} (4 x - 2) - \frac{2}{3} (6 x + 9) \leq 4$
171095	Find the Domain and Range	r(x)=(x^2+4x-5)/(x^2+x-2)	$r (x) = \frac{x^{2} + 4 x - 5}{x^{2} + x - 2}$
171096	Solve for x	3/x=x/12	$\frac{3}{x} = \frac{x}{12}$
171097	Solve for c	42=\|7c\|	$42 = \| 7 c \|$
171098	Solve for x	-4/(x-4)=1-2/(x+8)	$\frac{- 4}{x - 4} = 1 - \frac{2}{x + 8}$
171099	Simplify	fourth root of 8* fourth root of 8	$\sqrt[4]{8} \cdot \sqrt[4]{8}$
171100	Simplify	(6x-7y-3z)+(7z-3x-6y)	$(6 x - 7 y - 3 z) + (7 z - 3 x - 6 y)$