Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14101	Simplify	(3i^3-2i^2-i^5)/(2-4i^2+ square root of -4)	$\frac{3 i^{3} - 2 i^{2} - i^{5}}{2 - 4 i^{2} + \sqrt{- 4}}$
14102	Simplify	((3xy^-2)(6x^-3y)^2)/(8x^(-1(4y^-3)-2))	$\frac{(3 x y^{- 2}) {(6 x^{- 3} y)}^{2}}{8 x^{- 1 (4 y^{- 3}) - 2}}$
14103	Simplify	((a+h^2+1)-(a^2+1))/h	$\frac{(a + h^{2} + 1) - (a^{2} + 1)}{h}$
14104	Simplify	(6x^5-2x^3+4x^2-3x+1)/(x-2)	$\frac{6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1}{x - 2}$
14105	Simplify	((n+5)(n-5))/((n+5)^2)	$\frac{(n + 5) (n - 5)}{{(n + 5)}^{2}}$
14106	Simplify	( square root of 2(cos((5pi)/6)+isin((5pi)/6)))^10	${(\sqrt{2} (\cos (\frac{5 π}{6}) + i \sin (\frac{5 π}{6})))}^{10}$
14107	Simplify	((x^2-14x+49)/(x^2-49))/((3x-21)/(x+7))	$\frac{\frac{x^{2} - 14 x + 49}{x^{2} - 49}}{\frac{3 x - 21}{x + 7}}$
14108	Simplify	((x+h)^2-3(x+h)+8)/h	$\frac{{(x + h)}^{2} - 3 (x + h) + 8}{h}$
14109	Simplify	((x^3)/(x+7))/(x/(x^2+14x+49))	$\frac{\frac{x^{3}}{x + 7}}{\frac{x}{x^{2} + 14 x + 49}}$
14110	Simplify	((x^2+2x-3)/(x^2+8x+16))/((x-1)/(3x+12))	$\frac{\frac{x^{2} + 2 x - 3}{x^{2} + 8 x + 16}}{\frac{x - 1}{3 x + 12}}$
14111	Simplify	((x^2-1)/(2x^2-x-1))/((x^2-4)/(2x^2-3x-2))	$\frac{\frac{x^{2} - 1}{2 x^{2} - x - 1}}{\frac{x^{2} - 4}{2 x^{2} - 3 x - 2}}$
14112	Simplify	((x^2-4)/(x-2))/((x+2)/(4x-8))	$\frac{\frac{x^{2} - 4}{x - 2}}{\frac{x + 2}{4 x - 8}}$
14113	Simplify	((6-x^2)^(1/2)+x^2(6-x^2)^(-1/2))/(6-x^2)	$\frac{{(6 - x^{2})}^{\frac{1}{2}} + x^{2} {(6 - x^{2})}^{- \frac{1}{2}}}{6 - x^{2}}$
14114	Simplify	((9st)^(3/2))/((27s^3t^-4)^(2/3))	$\frac{{(9 s t)}^{\frac{3}{2}}}{{(27 s^{3} t^{- 4})}^{\frac{2}{3}}}$
14115	Simplify	((x+h)^4-x^4)/h	$\frac{{(x + h)}^{4} - x^{4}}{h}$
14116	Multiply	(x-(4-2i))(x-(4+2i))	$(x - (4 - 2 i)) (x - (4 + 2 i))$
14117	Multiply	(x-3)(x^2)	$(x - 3) (x^{2})$
14118	Multiply	(x-3)(x-1)(x-4)	$(x - 3) (x - 1) (x - 4)$
14119	Multiply	(x-(3+5i))(x-(3-5i))	$(x - (3 + 5 i)) (x - (3 - 5 i))$
14120	Multiply	(x-i)(x+i)	$(x - i) (x + i)$
14121	Multiply	(x-(5+4i))(x-(5-4i))	$(x - (5 + 4 i)) (x - (5 - 4 i))$
14122	Multiply	(2-5i)^2	${(2 - 5 i)}^{2}$
14123	Multiply	(x^2y^3)^7	${(x^{2} y^{3})}^{7}$
14124	Multiply	(x^2y)^3(xy^3)^2	${(x^{2} y)}^{3} {(x y^{3})}^{2}$
14125	Multiply	(x-9y)^2	${(x - 9 y)}^{2}$
14126	Multiply	((xy^2z^3)^4)/((x^2y^2z)^3)	$\frac{{(x y^{2} z^{3})}^{4}}{{(x^{2} y^{2} z)}^{3}}$
14127	Multiply	(9x+2y)^2	${(9 x + 2 y)}^{2}$
14128	Multiply	(3u+v)^2	${(3 u + v)}^{2}$
14129	Multiply	(7+5i)(8-i)	$(7 + 5 i) (8 - i)$
14130	Multiply	(6+5i)(2-3i)	$(6 + 5 i) (2 - 3 i)$
14131	Multiply	(a+2b)(a-2)	$(a + 2 b) (a - 2)$
14132	Multiply	(x+y+5)(x+y-5)	$(x + y + 5) (x + y - 5)$
14133	Multiply	(x-1+2i)(x-1-2i)	$(x - 1 + 2 i) (x - 1 - 2 i)$
14134	Multiply	(x+5)(x-(4+ square root of 35))(x-(4- square root of 35))	$(x + 5) (x - (4 + \sqrt{35})) (x - (4 - \sqrt{35}))$
14135	Multiply	8i(9-i)	$8 i (9 - i)$
14136	Multiply	5i(4-6i)	$5 i (4 - 6 i)$
14137	Multiply	-3xy(4x+y)	$- 3 x y (4 x + y)$
14138	Multiply	4m(3a^2m)	$4 m (3 a^{2} m)$
14139	Multiply	x^2*(-x)	$x^{2} \cdot (- x)$
14140	Multiply	-2/3x	$- \frac{2}{3} x$
14141	Multiply	-5/2*(2x-4y)	$- \frac{5}{2} \cdot (2 x - 4 y)$
14142	Simplify	( square root of -16)( square root of -36)	$(\sqrt{- 16}) (\sqrt{- 36})$
14143	Simplify	( square root of 3+ square root of 15i)( square root of 3- square root of 15i)	$(\sqrt{3} + \sqrt{15} i) (\sqrt{3} - \sqrt{15} i)$
14144	Multiply	3x*3	$3 x \cdot 3$
14145	Multiply	46y*21	$46 y \cdot 21$
14146	Simplify	(pi/2*pi)sin(( square root of 2)/2)	$(\frac{π}{2} \cdot π) \sin (\frac{\sqrt{2}}{2})$
14147	Simplify	( square root of h^4+1)( square root of h^4+1^-1)	$(\sqrt{h^{4} + 1}) (\sqrt{h^{4} + 1^{- 1}})$
14148	Multiply	i*i	$i \cdot i$
14149	Simplify	( square root of 3-i)(-2-2i)	$(\sqrt{3} - i) (- 2 - 2 i)$
14150	Simplify	( square root of -4+i)(6-5i)	$(\sqrt{- 4} + i) (6 - 5 i)$
14151	Simplify	( square root of x+ square root of y)( square root of x-2)	$(\sqrt{x} + \sqrt{y}) (\sqrt{x} - 2)$
14152	Simplify	( square root of a-1/b)( square root of a+1/b)	$(\sqrt{a} - \frac{1}{b}) (\sqrt{a} + \frac{1}{b})$
14153	Simplify	( square root of x)(x-12)	$(\sqrt{x}) (x - 12)$
14154	Simplify	( square root of x)(x-14)	$(\sqrt{x}) (x - 14)$
14155	Simplify	(1- square root of -1)(1+ square root of -1)	$(1 - \sqrt{- 1}) (1 + \sqrt{- 1})$
14156	Simplify	(12- square root of -4)(7- square root of -25)	$(12 - \sqrt{- 4}) (7 - \sqrt{- 25})$
14157	Solve for z	3iz+(2-4i)=(1+2i)z-3i	$3 i z + (2 - 4 i) = (1 + 2 i) z - 3 i$
14158	Evaluate the Limit	limit as x approaches 2 of (3x^2-x-10)/(x^2-4)	$lim_{x \to 2} \frac{3 x^{2} - x - 10}{x^{2} - 4}$
14159	Solve for y	y=sin(t+pi/2)	$y = \sin (t + \frac{π}{2})$
14160	Solve for y	y=arctan(tan(-(5pi)/6))	$y = \arctan (\tan (- \frac{5 π}{6}))$
14161	Solve for y	y=arccsc(1)	$y = arccsc (1)$
14162	Solve for y	3(4)-2y=14	$3 (4) - 2 y = 14$
14163	Solve for y	3y<-9	$3 y < - 9$
14164	Solve for y	hy^2-ky=p	$h y^{2} - k y = p$
14165	Solve for y	(sin(98.4))/10.6782=(sin(y))/8	$\frac{\sin (98.4)}{10.6782} = \frac{\sin (y)}{8}$
14166	Solve for y	square root of 2y+7<5	$\sqrt{2 y + 7} < 5$
14167	Solve for y	3x+2y-2z=-13	$3 x + 2 y - 2 z = - 13$
14168	Solve for y	5> square root of 2y+7	$5 > \sqrt{2 y + 7}$
14169	Solve for x	x+3y=42	$x + 3 y = 42$
14170	Solve for x	x< log base 6 of 144	$x < \log_{6} (144)$
14171	Solve for x	x=3(2)	$x = 3 (2)$
14172	Solve for x	y=10x^3+7.5x^2-54.84x+37.95	$y = 10 x^{3} + 7.5 x^{2} - 54.84 x + 37.95$
14173	Solve for y	1+(3y)/(1-y)>2	$1 + \frac{3 y}{1 - y} > 2$
14174	Solve for x	x-10/(x-1)=4	$x - \frac{10}{x - 1} = 4$
14175	Solve for x	y=(x-1)/(x+4)	$y = \frac{x - 1}{x + 4}$
14176	Solve for x	y>4x^2-12x	$y > 4 x^{2} - 12 x$
14177	Solve for x2	natural log of x^2=9a<b	$\ln (x^{2}) = 9 a < b$
14178	Solve for y	(3-4y)/6-(2y-3)/8=2-y	$\frac{3 - 4 y}{6} - \frac{2 y - 3}{8} = 2 - y$
14179	Solve for y	17/x=y/2	$\frac{17}{x} = \frac{y}{2}$
14180	Solve for y	(2y+1)/5-(2+7y)/15>2/3	$\frac{2 y + 1}{5} - \frac{2 + 7 y}{15} > \frac{2}{3}$
14181	Solve for x	2/(x+2)+x/(2-x)<13/(4-x^2)	$\frac{2}{x + 2} + \frac{x}{2 - x} < \frac{13}{4 - x^{2}}$
14182	Solve for x	x/(x-5)=2	$\frac{x}{x - 5} = 2$
14183	Solve for t	2t^2-11=9t	$2 t^{2} - 11 = 9 t$
14184	Solve for x	(2x^2+2x+1)/(x(x+1))>0	$\frac{2 x^{2} + 2 x + 1}{x (x + 1)} > 0$
14185	Solve for x	2/5x+3<7/5-2x	$\frac{2}{5} x + 3 < \frac{7}{5} - 2 x$
14186	Solve for x	\|8-8x\|<-13	$\| 8 - 8 x \| < - 13$
14187	Solve for x	\|5x-4\|<5	$\| 5 x - 4 \| < 5$
14188	Solve for x	\|2x-4\|=10	$\| 2 x - 4 \| = 10$
14189	Solve for x	(x+3)(x+2)>0	$(x + 3) (x + 2) > 0$
14190	Solve for x	(x-6)^2(x+9)<0	${(x - 6)}^{2} (x + 9) < 0$
14191	Solve for x	\|1/2x-1\|+3/2x<10	$\| \frac{1}{2} x - 1 \| + \frac{3}{2} x < 10$
14192	Solve for j	27-11j>14j-18	$27 - 11 j > 14 j - 18$
14193	Solve for t	20t^2-60t+50=35	$20 t^{2} - 60 t + 50 = 35$
14194	Solve for x	(x-6)(x+4)>0	$(x - 6) (x + 4) > 0$
14195	Solve for x	(x+8)/(5x-1)>0	$\frac{x + 8}{5 x - 1} > 0$
14196	Solve for x	(2x)/(x-2)<3	$\frac{2 x}{x - 2} < 3$
14197	Solve for x	x^2+2x-63<0	$x^{2} + 2 x - 63 < 0$
14198	Solve for x	x^2-11x+30<0	$x^{2} - 11 x + 30 < 0$
14199	Solve for x	x^3-x^2-30x=0	$x^{3} - x^{2} - 30 x = 0$
14200	Solve for x	x^3+9x^2-108=0	$x^{3} + 9 x^{2} - 108 = 0$