Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193101	Solve the System of Equations	2x+y=2 -3x+z=-7 -4y+3z=22	$2 x + y = 2$ $- 3 x + z = - 7$ $- 4 y + 3 z = 22$
193102	Evaluate	\|15-9(2/3)\|	$\| 15 - 9 (\frac{2}{3}) \|$
193103	Simplify	5x^4y^3-x^2y^3+8x^2y^3-12x^4y^3	$5 x^{4} y^{3} - x^{2} y^{3} + 8 x^{2} y^{3} - 12 x^{4} y^{3}$
193104	Evaluate	(1/2x)^2	${(\frac{1}{2} x)}^{2}$
193105	Find the Slope and y-intercept	6x+7y=4x+4y	$6 x + 7 y = 4 x + 4 y$
193106	Solve for x	(a-b)x=-b+a	$(a - b) x = - b + a$
193107	Divide	((9y^2)/(y^2+2y+1))÷((36y)/(y^2-1))	$\frac{9 y^{2}}{y^{2} + 2 y + 1} \div \frac{36 y}{y^{2} - 1}$
193108	Solve the Inequality for x	x^2+x<20	$x^{2} + x < 20$
193109	Evaluate	tan(theta)- square root of 3=0	$\tan (θ) - \sqrt{3} = 0$
193110	Solve for t	3/8t+5/4=2	$\frac{3}{8} t + \frac{5}{4} = 2$
193111	Solve for y	\|2y+5\|=3y	$\| 2 y + 5 \| = 3 y$
193112	Solve for x	x^2=3x-1	$x^{2} = 3 x - 1$
193113	Simplify	(1+1/(3x))/(3/(2x)+1/(2x^2))	$\frac{1 + \frac{1}{3 x}}{\frac{3}{2 x} + \frac{1}{2 x^{2}}}$
193114	Evaluate	1-3/4*-12	$1 - \frac{3}{4} \cdot - 12$
193115	Simplify	(-zx^4y^0)/(-4x^4y^0z^2)	$\frac{- z x^{4} y^{0}}{- 4 x^{4} y^{0} z^{2}}$
193116	Find the Product	(3a+2c)(9a^2-6ac+4c^2)	$(3 a + 2 c) (9 a^{2} - 6 a c + 4 c^{2})$
193117	Subtract	5 5/6-6 1/6	$5 \frac{5}{6} - 6 \frac{1}{6}$
193118	Simplify	(sin(t)^2+cos(t)^2)/(sin(t)^2)	$\frac{\sin^{2} (t) + \cos^{2} (t)}{\sin^{2} (t)}$
193119	Simplify	3/(x+3)-(2x)/((x+3)(x+4))	$\frac{3}{x + 3} - \frac{2 x}{(x + 3) (x + 4)}$
193120	Find the Exact Value	2sin((5pi)/4)	$2 \sin (\frac{5 π}{4})$
193121	Simplify	(2-i)/(3+i)	$\frac{2 - i}{3 + i}$
193122	Solve for x	2x(25x^2-4)(x^2+4)=0	$2 x (25 x^{2} - 4) (x^{2} + 4) = 0$
193123	Graph	f(x)=ax^2+bx+c , a!=0	$f (x) = a x^{2} + b x + c$ , $a \neq 0$
193124	Solve the System of Equations	y=x+4 x+y=2	$y = x + 4$ $x + y = 2$
193125	Write in Standard Form	6+3x^2=-3x	$6 + 3 x^{2} = - 3 x$
193126	Simplify	3/(x+1)-1/(x-1)-(2x)/(x^2-1)	$\frac{3}{x + 1} - \frac{1}{x - 1} - \frac{2 x}{x^{2} - 1}$
193127	Solve for x	2x(x-6)(x^2-7)=0	$2 x (x - 6) (x^{2} - 7) = 0$
193128	Evaluate	(8(6+5))/(2^2)+6(2)	$\frac{8 (6 + 5)}{2^{2}} + 6 (2)$
193129	Find the Vertices	(x^2)/9-((y+1)^2)/25=1	$\frac{x^{2}}{9} - \frac{{(y + 1)}^{2}}{25} = 1$
193130	Convert to Interval Notation	3>x	$3 > x$
193131	Simplify	(x/2+1)/(x/4-1/2)	$\frac{\frac{x}{2} + 1}{\frac{x}{4} - \frac{1}{2}}$
193132	Solve the Inequality for x	(2x-1)/(3x-2)<=1	$\frac{2 x - 1}{3 x - 2} \leq 1$
193133	Simplify	6/(x^2+9x+20)*(8x+40)/(6x-12)	$\frac{6}{x^{2} + 9 x + 20} \cdot \frac{8 x + 40}{6 x - 12}$
193134	Simplify	((p^2-14p+40)/(16p^3))÷((3p^2-18p+24)/(2p^2-4p))	$\frac{p^{2} - 14 p + 40}{16 p^{3}} \div \frac{3 p^{2} - 18 p + 24}{2 p^{2} - 4 p}$
193135	Solve the System of Equations	s-2=9 3r-4s=16	$s - 2 = 9$ $3 r - 4 s = 16$
193136	Factor	162m^3n^4+45n	$162 m^{3} n^{4} + 45 n$
193137	Simplify	10xy-4(xy+xy)	$10 x y - 4 (x y + x y)$
193138	Solve the Inequality for x	-9(x-5)+9<3x+42	$- 9 (x - 5) + 9 < 3 x + 42$
193139	Solve for b	s=h/2(a+b)	$s = \frac{h}{2} (a + b)$
193140	Simplify	m^3n^2(7m^5+2mn^3)	$m^{3} n^{2} (7 m^{5} + 2 m n^{3})$
193141	Solve for x	-(-4x-1)-6/5x=4/5x-1	$- (- 4 x - 1) - \frac{6}{5} x = \frac{4}{5} x - 1$
193142	Subtract	(x^2+3x+2)/(x^2-2x+1)-(3x+3)/(x^2-2x+1)	$\frac{x^{2} + 3 x + 2}{x^{2} - 2 x + 1} - \frac{3 x + 3}{x^{2} - 2 x + 1}$
193143	Solve the System of Equations	2x+y=5 and x-3y=-8	$2 x + y = 5$ and $x - 3 y = - 8$
193144	Solve the Inequality for x	2x+3+2(x+1)<-3(1-x)	$2 x + 3 + 2 (x + 1) < - 3 (1 - x)$
193145	Evaluate	1/2\|-5+3\|	$\frac{1}{2} \| - 5 + 3 \|$
193146	Write in Standard Form	5y-9=0	$5 y - 9 = 0$
193147	Solve for k	-7(k+9)=9(k-5)-14k	$- 7 (k + 9) = 9 (k - 5) - 14 k$
193148	Evaluate	1/2(5)+1	$\frac{1}{2} (5) + 1$
193149	Find the Exact Value	(1/3)^2+3^2	${(\frac{1}{3})}^{2} + 3^{2}$
193150	Simplify	x^2-7x+12+(x-3)^2 ?	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$ ?
193151	Factor	3x^4-75x^2=0	$3 x^{4} - 75 x^{2} = 0$
193152	Divide	(p/(2p+1))÷(p/(3p+1))	$\frac{p}{2 p + 1} \div \frac{p}{3 p + 1}$
193153	Describe the Transformation	g(x)=f(x-5)	$g (x) = f (x - 5)$
193154	Solve for n	i=(pn)/(rn+a)	$i = \frac{p n}{r n + a}$
193155	Solve the Inequality for x	x^2-3<0	$x^{2} - 3 < 0$
193156	Convert to a Mixed Number	8 1/5-4 2/5	$8 \frac{1}{5} - 4 \frac{2}{5}$
193157	Find the Inverse	f(2)	$f (2)$
193158	Solve for w	-5=7-w/2	$- 5 = 7 - \frac{w}{2}$
193159	Find the Equation Using Two Points	f(2)=-2 and f(1)=1	$f (2) = - 2$ and $f (1) = 1$
193160	Combine Like Terms	(6x^2+7x+2)-(-9x^2-10)	$(6 x^{2} + 7 x + 2) - (- 9 x^{2} - 10)$
193161	Write in Standard Form	(2-x)(2+x)=1	$(2 - x) (2 + x) = 1$
193162	Solve the Inequality for x	7x-2<=9x+3	$7 x - 2 \leq 9 x + 3$
193163	Find the Domain and Range	f(x)=(3x-2)	$f (x) = (3 x - 2)$
193164	Evaluate	(3/4)^1.5*(2/3)^2.5	${(\frac{3}{4})}^{1.5} \cdot {(\frac{2}{3})}^{2.5}$
193165	Find the End Behavior	f(x)=9x^2+84-72x+3x^3	$f (x) = 9 x^{2} + 84 - 72 x + 3 x^{3}$
193166	Solve the Absolute Value Inequality for x	\|2x-1\|=0	$\| 2 x - 1 \| = 0$
193167	Simplify the Radical Expression	- fourth root of 16x^8	$- \sqrt[4]{16 x^{8}}$
193168	Divide	(28y^6)÷14y^4	$28 y^{6} \div 14 y^{4}$
193169	Write in Standard Form	(- square root of 9+ square root of -4)-(2 square root of 576+ square root of -64)	$(- \sqrt{9} + \sqrt{- 4}) - (2 \sqrt{576} + \sqrt{- 64})$
193170	Solve the Inequality for x	6x-9-x^2<0	$6 x - 9 - x^{2} < 0$
193171	Convert to Radical Form	m^(7/4)*n^(1/4)	$m^{\frac{7}{4}} \cdot n^{\frac{1}{4}}$
193172	Graph	y<=-x+3 y<=x^2-3x	$y \leq - x + 3$ $y \leq x^{2} - 3 x$
193173	Expand the Logarithmic Expression	natural log of (x^3)/( square root of x^2-25)	$\ln (\frac{x^{3}}{\sqrt{x^{2} - 25}})$
193174	Solve for x	(x-6)^2+x^2=(x+6)^2	${(x - 6)}^{2} + x^{2} = {(x + 6)}^{2}$
193175	Write in Exponential Form	( square root of 6v)^3	${(\sqrt{6 v})}^{3}$
193176	Solve for b	7(ay^2+by-3)=14y^2-7y-21	$7 (a y^{2} + b y - 3) = 14 y^{2} - 7 y - 21$
193177	Solve the Inequality for x	-3/4x>=-5/6+1/3x	$- \frac{3}{4} x \geq - \frac{5}{6} + \frac{1}{3} x$
193178	Multiply	(6/x)(8/3)	$(\frac{6}{x}) (\frac{8}{3})$
193179	Solve the Inequality for w	2/5>=w-3/5	$\frac{2}{5} \geq w - \frac{3}{5}$
193180	Evaluate	20% of 45	$20 %$ of $45$
193181	Factor	P(x)=x^3-x^2-20x	$P (x) = x^{3} - x^{2} - 20 x$
193182	Graph Using a Table of Values	f(x)=(-5x-15)/(x^2+2x-15)	$f (x) = \frac{- 5 x - 15}{x^{2} + 2 x - 15}$
193183	Solve for x	-(1/2x+9)=-3x-4(x-1/2)+1	$- (\frac{1}{2} x + 9) = - 3 x - 4 (x - \frac{1}{2}) + 1$
193184	Evaluate	(2pi)/3*1/2	$\frac{2 π}{3} \cdot \frac{1}{2}$
193185	Simplify	( square root of x+2)/(x^2-4)	$\frac{\sqrt{x + 2}}{x^{2} - 4}$
193186	Find the Roots (Zeros)	15x^2-x-2=-8x	$15 x^{2} - x - 2 = - 8 x$
193187	Evaluate	(7-4n)*6	$(7 - 4 n) \cdot 6$
193188	Solve the Inequality for x	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
193189	Simplify	-1^-1	$- 1^{- 1}$
193190	Solve the Inequality for x	x^2<=4x	$x^{2} \leq 4 x$
193191	Evaluate	(2tan(pi/12))/(1-tan(pi/12)^2)	$\frac{2 \tan (\frac{π}{12})}{1 - \tan^{2} (\frac{π}{12})}$
193192	Evaluate	24a-22=-4(1-6a)	$24 a - 22 = - 4 (1 - 6 a)$
193193	Find the GCF	3ab^2-5a^2b+8ab	$3 a b^{2} - 5 a^{2} b + 8 a b$
193194	Simplify	2/(1+cos(x))+2/(1-cos(x))	$\frac{2}{1 + \cos (x)} + \frac{2}{1 - \cos (x)}$
193195	Factor	x^4+3x^3-x^2+x+4	$x^{4} + 3 x^{3} - x^{2} + x + 4$
193196	Solve for x	-5(1+1x)=-50	$- 5 (1 + 1 x) = - 50$
193197	Divide	(10a^3+8)/2	$\frac{10 a^{3} + 8}{2}$
193198	Simplify	(20b^2)/(30a^2)+(10ab^3)/(5ab)	$\frac{20 b^{2}}{30 a^{2}} + \frac{10 a b^{3}}{5 a b}$
193199	Solve for a	(x^3)^(1/5) sixth root of x^5=x^a	${(x^{3})}^{\frac{1}{5}} \sqrt[6]{x^{5}} = x^{a}$
193200	Solve for x	3/(x+5)+2/(2x+1)=4/(x-2)	$\frac{3}{x + 5} + \frac{2}{2 x + 1} = \frac{4}{x - 2}$