Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174101	Simplify	(x-1)/(2x-12)*(4x^2-144)/(x^2+5x-6)	$\frac{x - 1}{2 x - 12} \cdot \frac{4 x^{2} - 144}{x^{2} + 5 x - 6}$
174102	Write in Slope-Intercept Form	3x-2y<10	$3 x - 2 y < 10$
174103	Solve the System of Equations	5/4x+9/10y=2/5 -5/7x+5/9y=130/21	$\frac{5}{4} x + \frac{9}{10} y = \frac{2}{5}$ $- \frac{5}{7} x + \frac{5}{9} y = \frac{130}{21}$
174104	Solve for x	64*4^(3x)=16	$64 \cdot 4^{3 x} = 16$
174105	Factor	P(x)=x^3+3x^2+4x+12	$P (x) = x^{3} + 3 x^{2} + 4 x + 12$
174106	Solve for x	x^2-6=x	$x^{2} - 6 = x$
174107	Solve for x	x-x/(x+5)=5/(x+5)	$x - \frac{x}{x + 5} = \frac{5}{x + 5}$
174108	Graph	f(x)=(3x)/((x+3)^2)	$f (x) = \frac{3 x}{{(x + 3)}^{2}}$
174109	Simplify	(5x^-2)/(3x)*(2y^3)/(x^10)	$\frac{5 x^{- 2}}{3 x} \cdot \frac{2 y^{3}}{x^{10}}$
174110	Evaluate	f(0)=2^0	$f (0) = 2^{0}$
174111	Simplify	(10k^10)/((2k^-2)^-3)	$\frac{10 k^{10}}{{(2 k^{- 2})}^{- 3}}$
174112	Simplify	(-3.6)(4 1/3)	$(- 3.6) (4 \frac{1}{3})$
174113	Solve for x	b^3*(b^4)^2=b^x	$b^{3} \cdot {(b^{4})}^{2} = b^{x}$
174114	Solve for x	(90-x)^(1/2)=x	${(90 - x)}^{\frac{1}{2}} = x$
174115	Solve for x	\|x+7\|-\|x-2\|=x-3	$\| x + 7 \| - \| x - 2 \| = x - 3$
174116	Evaluate	3/(x+1)=2/(x-3)	$\frac{3}{x + 1} = \frac{2}{x - 3}$
174117	Find the Exact Value	log base 8 of 512	$\log_{8} (512)$
174118	Graph	2y>=4x-6	$2 y \geq 4 x - 6$
174119	Solve for x	-x^(3/2)=-27	$- x^{\frac{3}{2}} = - 27$
174120	Simplify	(i)(3i)	$(i) (3 i)$
174121	Solve for m	\|2-(5m)/2\|<14	$\| 2 - \frac{5 m}{2} \| < 14$
174122	Solve the System of Inequalities	x+7>3 and x-5<=-1	$x + 7 > 3$ and $x - 5 \leq - 1$
174123	Solve for y	(x-h)^2+(y-k)^2=r^2	${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$
174124	Solve the System of Equations	f(x)=x^2-2x+3 , f(x)=-2x+19	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 19$
174125	Solve the System of Equations	y+2x+1=0 4y-4x^2-12x=-7	$y + 2 x + 1 = 0$ $4 y - 4 x^{2} - 12 x = - 7$
174126	Solve the Inequality for x	-6(1+6x)<6(1-5x)	$- 6 (1 + 6 x) < 6 (1 - 5 x)$
174127	Simplify	(2(p^2)^-4)/(2r^-2)	$\frac{2 {(p^{2})}^{- 4}}{2 r^{- 2}}$
174128	Solve for x	2(5 square root of 2) = square root of 2x	$2 (5 \sqrt{2}) = \sqrt{2 x}$
174129	Simplify	((x^2-49)/(x+8)*(x^2+8x)/(x+7))÷((x^2-7x)/14)	$\frac{x^{2} - 49}{x + 8} \cdot \frac{x^{2} + 8 x}{x + 7} \div \frac{x^{2} - 7 x}{14}$
174130	Find the Domain and Range	f(x)=(x+1)-2	$f (x) = (x + 1) - 2$
174131	Simplify	675÷(6+9÷3)	$675 \div (6 + 9 \div 3)$
174132	Graph	g(x)=1/2(x-1)^2	$g (x) = \frac{1}{2} {(x - 1)}^{2}$
174133	Solve for b	A=1/2h(a+b) for b	$A = \frac{1}{2} h (a + b)$ for $b$
174134	Solve for x	x^2-x+1/4=0	$x^{2} - x + \frac{1}{4} = 0$
174135	Simplify	(x+9)(x-2)-9x-6	$(x + 9) (x - 2) - 9 x - 6$
174136	Solve for x	square root of 4-3x=-4- square root of -6-x	$\sqrt{4 - 3 x} = - 4 - \sqrt{- 6 - x}$
174137	Solve the System of Equations	x^2+y^2=25 x-y=1	$x^{2} + y^{2} = 25$ $x - y = 1$
174138	Evaluate	e^(-2(-pi))	$e^{- 2 (- π)}$
174139	Solve for x	15=-3(x-1)+9	$15 = - 3 (x - 1) + 9$
174140	Solve for x	-4 square root of x-3=12	$- 4 \sqrt{x - 3} = 12$
174141	Solve the System of Inequalities	-41<=-4x-9 and -49<-4x-9	$- 41 \leq - 4 x - 9$ and $- 49 < - 4 x - 9$
174142	Evaluate the Function	f(8)=\|8\|	$f (8) = \| 8 \|$
174143	Simplify	(6m^3-18m^2-24m)/(15m-9m^2)	$\frac{6 m^{3} - 18 m^{2} - 24 m}{15 m - 9 m^{2}}$
174144	Solve for x	log base 3 of 6x- log base 3 of 9=4	$\log_{3} (6 x) - \log_{3} (9) = 4$
174145	Solve for x	9-4(2x-1)=41	$9 - 4 (2 x - 1) = 41$
174146	Simplify	(a^2-b^2)/(a-b)	$\frac{a^{2} - b^{2}}{a - b}$
174147	Solve the Inequality for p	p+1/4>=2	$p + \frac{1}{4} \geq 2$
174148	Graph	f(x)=x^3-2x^2+x	$f (x) = x^{3} - 2 x^{2} + x$
174149	Solve for x	4/5(15x+20)-7x=5/6(12x-24)+6	$\frac{4}{5} (15 x + 20) - 7 x = \frac{5}{6} (12 x - 24) + 6$
174150	Solve the Inequality for x	16x+(5-x)>30	$16 x + (5 - x) > 30$
174151	Expand the Logarithmic Expression	log of ( square root of x)/(z^5y)	$\log (\frac{\sqrt{x}}{z^{5} y})$
174152	Solve for c	x=(-b+- square root of b^2-4ac)/(2a)	$x = \frac{- b + - \sqrt{b^{2} - 4 a c}}{2 a}$
174153	Write in Standard Form	40=3(2)^x-5	$40 = 3 {(2)}^{x} - 5$
174154	Graph	y=1/2cos(x+pi)	$y = \frac{1}{2} \cos (x + π)$
174155	Multiply	1/21 3/52 7/9	$\frac{1}{2} \cdot 1 \frac{3}{5} \cdot 2 \frac{7}{9}$
174156	Solve for u	1=7u	$1 = 7 u$
174157	Write the Fraction in Simplest Form	3/4+1/2	$\frac{3}{4} + \frac{1}{2}$
174158	Simplify	(-4(r^4t^-2)^-1)/(4r^2t^4)	$\frac{- 4 {(r^{4} t^{- 2})}^{- 1}}{4 r^{2} t^{4}}$
174159	Simplify	1/( square root of x^3)	$\frac{1}{\sqrt{x^{3}}}$
174160	Solve the Inequality for x	3+(x-2)/(x-3)<=4	$3 + \frac{x - 2}{x - 3} \leq 4$
174161	Solve for z	53=-19z+5+7z	$53 = - 19 z + 5 + 7 z$
174162	Write as a Single Logarithm	log base 5 of 11+2 log base 5 of 8	$\log_{5} (11) + 2 \log_{5} (8)$
174163	Find the Holes in the Graph	f(x)=(-3x^2+12x)/(x^2-5x+4)	$f (x) = \frac{- 3 x^{2} + 12 x}{x^{2} - 5 x + 4}$
174164	Evaluate	(-(8-11)^3-3\|-14\|)/(2^4-7)	$\frac{- {(8 - 11)}^{3} - 3 \| - 14 \|}{2^{4} - 7}$
174165	Multiply	(x+a)(x+b)	$(x + a) (x + b)$
174166	Solve for x	x = square root of x^2-3x+18	$x = \sqrt{x^{2} - 3 x + 18}$
174167	Find All Complex Solutions	tan(x)^2=3	$\tan^{2} (x) = 3$
174168	Solve for s	12s-3s^3=0	$12 s - 3 s^{3} = 0$
174169	Evaluate	1/3 square root of 3	$\frac{1}{3} \sqrt{3}$
174170	Write in Standard Form	5+5x^2-2x=3x^2-4	$5 + 5 x^{2} - 2 x = 3 x^{2} - 4$
174171	Evaluate	(10+2-2)*6-1	$(10 + 2 - 2) \times 6 - 1$
174172	Graph	3x+6y<=6 3x+y<=6	$3 x + 6 y \leq 6$ $3 x + y \leq 6$
174173	Solve for x	x/(x-1)-(3x)/(x^2+x-2)=3/(x+2)	$\frac{x}{x - 1} - \frac{3 x}{x^{2} + x - 2} = \frac{3}{x + 2}$
174174	Find the Exact Value	sin(60 degrees )^2	$\sin^{2} (60 °)$
174175	Find the Product	(x+y)(x+y)	$(x + y) (x + y)$
174176	Solve the System of Equations	-5x+y-4z=60 2x+4y+3z=-12 6x-3y-2z=-52	$- 5 x + y - 4 z = 60$ $2 x + 4 y + 3 z = - 12$ $6 x - 3 y - 2 z = - 52$
174177	Solve the Inequality for d	20(d-4)+4d<=8	$20 (d - 4) + 4 d \leq 8$
174178	Simplify	10-7w-13-7w+15	$10 - 7 w - 13 - 7 w + 15$
174179	Subtract	8y^2-5y+7 from 2y^2+7y+11	$8 y^{2} - 5 y + 7$ from $2 y^{2} + 7 y + 11$
174180	Evaluate	i^-3	$i^{- 3}$
174181	Find the First Term	2n	$2 n$
174182	Simplify the Radical Expression	square root of 75x^2y	$\sqrt{75 x^{2} y}$
174183	Solve for y	10x+5y=5x+20	$10 x + 5 y = 5 x + 20$
174184	Graph	f(x)=-x^2(x-3)(x+4)	$f (x) = - x^{2} (x - 3) (x + 4)$
174185	Solve for x	square root of 3sec(x)=2	$\sqrt{3} \sec (x) = 2$
174186	Simplify	-4+8p-6p-5+20p	$- 4 + 8 p - 6 p - 5 + 20 p$
174187	Solve the System of Inequalities	3x-1<=8 and 3x-1<35	$3 x - 1 \leq 8$ and $3 x - 1 < 35$
174188	Solve for a	(x+2)^2=a	${(x + 2)}^{2} = a$
174189	Solve by Substitution	y=5x y=4x+9	$y = 5 x$ $y = 4 x + 9$
174190	Find the Inverse	f(x)=(x^5)/7	$f (x) = \frac{x^{5}}{7}$
174191	Evaluate	((3^4)/(7^3))^3	${(\frac{3^{4}}{7^{3}})}^{3}$
174192	Factor	m(x+1)-n(x+1)+p(x+1)	$m (x + 1) - n (x + 1) + p (x + 1)$
174193	Solve the Inequality for x	(x-4)/(x+2)>=2	$\frac{x - 4}{x + 2} \geq 2$
174194	Find the Excluded Values	(x^2+3x+2)/(x^2+2x+1)	$\frac{x^{2} + 3 x + 2}{x^{2} + 2 x + 1}$
174195	Find the Exact Value	1+1/3	$1 + \frac{1}{3}$
174196	Solve the System of Equations	x-3y=-12 and 4x+6y=-12	$x - 3 y = - 12$ and $4 x + 6 y = - 12$
174197	Solve for p	16^(2p-3)*4^(-2p)=2^4	$16^{2 p - 3} \cdot 4^{- 2 p} = 2^{4}$
174198	Simplify	5+n+(15-2)	$5 + n + (15 - 2)$
174199	Simplify	cot(theta)^2*tan(theta)^2	$\cot^{2} (θ) \cdot \tan^{2} (θ)$
174200	Solve by Completing the Square	0=2x^2-16x-18	$0 = 2 x^{2} - 16 x - 18$