Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12201	Simplify	(9b-3d+2g)^2	${(9 b - 3 d + 2 g)}^{2}$
12202	Simplify	(9x)^-4	${(9 x)}^{- 4}$
12203	Simplify	(a-5b)^6	${(a - 5 b)}^{6}$
12204	Simplify	(k+1)^2	${(k + 1)}^{2}$
12205	Simplify	(m-2)^2-(m-2)(m+2)	${(m - 2)}^{2} - (m - 2) (m + 2)$
12206	Simplify	(-n)^-3	${(- n)}^{- 3}$
12207	Simplify	(p*20^2)/2	$\frac{p \cdot 20^{2}}{2}$
12208	Simplify	(tan(x)-x)/(x^3)	$\frac{\tan (x) - x}{x^{3}}$
12209	Simplify	(x+21/2)^2	${(x + \frac{21}{2})}^{2}$
12210	Simplify	(x+0.1875)/(x^2+0.3542x+0.016)	$\frac{x + 0.1875}{x^{2} + 0.3542 x + 0.016}$
12211	Simplify	(x+10)^2+(y+12)^2	${(x + 10)}^{2} + {(y + 12)}^{2}$
12212	Simplify	(x-1)^2-50	${(x - 1)}^{2} - 50$
12213	Simplify	(x-2y)^6	${(x - 2 y)}^{6}$
12214	Simplify	(x-h)^3	${(x - h)}^{3}$
12215	Simplify	0.057/12	$\frac{0.057}{12}$
12216	Simplify	0.067/4	$\frac{0.067}{4}$
12217	Simplify	(4-(a-b))^2	${(4 - (a - b))}^{2}$
12218	Simplify	(5(cos(15)+isin(15)))^3	${(5 (\cos (15) + i \sin (15)))}^{3}$
12219	Simplify	((-5(x+h)+3)-(-5x+3))/h	$\frac{(- 5 (x + h) + 3) - (- 5 x + 3)}{h}$
12220	Simplify	((y^2-y-12)/(y+2))/((y-4)/(y^2-4y-12))	$\frac{\frac{y^{2} - y - 12}{y + 2}}{\frac{y - 4}{y^{2} - 4 y - 12}}$
12221	Simplify	((-1)^n)/(3^n-1)	$\frac{{(- 1)}^{n}}{3^{n} - 1}$
12222	Simplify	((1+i)^2)/((1-i)^2)+2/(x+iy)	$\frac{{(1 + i)}^{2}}{{(1 - i)}^{2}} + \frac{2}{x + i y}$
12223	Simplify	((14r^2s)/(5pq^2))/((7r^5s^4)/(20q^4))	$\frac{\frac{14 r^{2} s}{5 p q^{2}}}{\frac{7 r^{5} s^{4}}{20 q^{4}}}$
12224	Simplify	((2n^6r^7)^2(8n^6r)^-2)/((-3nr^9)^-1(2n^3r^9)^3)	$\frac{{(2 n^{6} r^{7})}^{2} {(8 n^{6} r)}^{- 2}}{{(- 3 n r^{9})}^{- 1} {(2 n^{3} r^{9})}^{3}}$
12225	Simplify	((2x^3y^4)^3(8x^10y))/(4x^12y^10)	$\frac{{(2 x^{3} y^{4})}^{3} (8 x^{10} y)}{4 x^{12} y^{10}}$
12226	Simplify	((3a^-1b^2)^-2)/((2a^2b^-1)^-3)	$\frac{{(3 a^{- 1} b^{2})}^{- 2}}{{(2 a^{2} b^{- 1})}^{- 3}}$
12227	Simplify	((3m)^-3)/((5m)^-5)	$\frac{{(3 m)}^{- 3}}{{(5 m)}^{- 5}}$
12228	Simplify	((5v^2)^3)/((2v)^4)	$\frac{{(5 v^{2})}^{3}}{{(2 v)}^{4}}$
12229	Simplify	((5y^7)^2)/(y^-4)	$\frac{{(5 y^{7})}^{2}}{y^{- 4}}$
12230	Simplify	((6u)^-4)/((6u)^-1)	$\frac{{(6 u)}^{- 4}}{{(6 u)}^{- 1}}$
12231	Simplify	((7d^-2)^-1)/((7d)^-2)	$\frac{{(7 d^{- 2})}^{- 1}}{{(7 d)}^{- 2}}$
12232	Simplify	(9x^2)/(((18x)^2)^3)	$\frac{9 x^{2}}{{({(18 x)}^{2})}^{3}}$
12233	Simplify	((x^2-3x+2)/(x+2))/((3x-3)/(x-3))	$\frac{\frac{x^{2} - 3 x + 2}{x + 2}}{\frac{3 x - 3}{x - 3}}$
12234	Simplify	((x^3-2x^2-8x)/(3x(x^2-16)))/((x^2+4x+4)/(9x^2))	$\frac{\frac{x^{3} - 2 x^{2} - 8 x}{3 x (x^{2} - 16)}}{\frac{x^{2} + 4 x + 4}{9 x^{2}}}$
12235	Simplify	((y^2-16y+64)/(7y^2-56y))/((y^2-14y+48)/(35y^2))	$\frac{\frac{y^{2} - 16 y + 64}{7 y^{2} - 56 y}}{\frac{y^{2} - 14 y + 48}{35 y^{2}}}$
12236	Simplify	-1/(a^2)	$- \frac{1}{a^{2}}$
12237	Simplify	(1+cos(2a))/(1-cos(2a))	$\frac{1 + \cos (2 a)}{1 - \cos (2 a)}$
12238	Simplify	(-2^(3+ square root of 6-2))/(\|3(6)-(-2)\|)	$\frac{- 2^{3 + \sqrt{6 - 2}}}{\| 3 (6) - (- 2) \|}$
12239	Simplify	(2^(n+1))/((2^n)^(n-1))*((2^(n-1))^(n+1))/(4^(n+1))	$\frac{2^{n + 1}}{{(2^{n})}^{n - 1}} \cdot \frac{{(2^{n - 1})}^{n + 1}}{4^{n + 1}}$
12240	Simplify	(3^-1(p^-2)^3)/(3p^-7)	$\frac{3^{- 1} {(p^{- 2})}^{3}}{3 p^{- 7}}$
12241	Simplify	(3^-1c^-2)/((3c)^2)	$\frac{3^{- 1} c^{- 2}}{{(3 c)}^{2}}$
12242	Simplify	(33^c2)/(44^c2)	$\frac{33^{c} \cdot 2}{44^{c} \cdot 2}$
12243	Simplify	((3s-s^2)/(2t))/((4(s^2-9))/(3t))	$\frac{\frac{3 s - s^{2}}{2 t}}{\frac{4 (s^{2} - 9)}{3 t}}$
12244	Simplify	(6^-1a^-2b)/(6a^-3b^-2)	$\frac{6^{- 1} a^{- 2} b}{6 a^{- 3} b^{- 2}}$
12245	Simplify	((6a+12)/(3a-39))/((a^2-4)/(a^2-a-156))	$\frac{\frac{6 a + 12}{3 a - 39}}{\frac{a^{2} - 4}{a^{2} - a - 156}}$
12246	Simplify	(a^2-3ab-10b^2)/(a^2-25b)	$\frac{a^{2} - 3 a b - 10 b^{2}}{a^{2} - 25 b}$
12247	Simplify	(b^6a^3)/(b^4a^5)	$\frac{b^{6} a^{3}}{b^{4} a^{5}}$
12248	Simplify	(c^6(-d)^7)/(c^10d^5)	$\frac{c^{6} {(- d)}^{7}}{c^{10} d^{5}}$
12249	Simplify	(e^3)/5	$\frac{e^{3}}{5}$
12250	Simplify	(e^(4t)+2e^(3t)+e^(2t))/(e^(2t))	$\frac{e^{4 t} + 2 e^{3 t} + e^{2 t}}{e^{2 t}}$
12251	Simplify	(k^16)/(k^8)	$\frac{k^{16}}{k^{8}}$
12252	Simplify	(k^6)/(k^12)*k^9	$\frac{k^{6}}{k^{12}} \cdot k^{9}$
12253	Simplify	(l^10m^4n^2)/(l^7m^6n^9)	$\frac{l^{10} m^{4} n^{2}}{l^{7} m^{6} n^{9}}$
12254	Simplify	(r^2+7r-98)/(r^2-21r+98)	$\frac{r^{2} + 7 r - 98}{r^{2} - 21 r + 98}$
12255	Simplify	(r^4-625)/(r^4)*(r^2+a)/(r^2+25)	$\frac{r^{4} - 625}{r^{4}} \cdot \frac{r^{2} + a}{r^{2} + 25}$
12256	Simplify	(u^0v^(-3/2))/((vu^-1)^0*(u^(1/3)v^2))	$\frac{u^{0} v^{- \frac{3}{2}}}{{(v u^{- 1})}^{0} \cdot (u^{\frac{1}{3}} v^{2})}$
12257	Simplify	(u^2-9u+14)/(16u-4u^2)	$\frac{u^{2} - 9 u + 14}{16 u - 4 u^{2}}$
12258	Simplify	(v(-14^2-4126))/(2(1))	$\frac{v (- 14^{2} - 4 \cdot 1 \cdot 26)}{2 (1)}$
12259	Simplify	( square root of 106.8)/(5-1)	$\frac{\sqrt{106.8}}{5 - 1}$
12260	Simplify	( square root of 20)/( square root of 35)	$\frac{\sqrt{20}}{\sqrt{35}}$
12261	Simplify	( square root of 50)/( square root of 10)	$\frac{\sqrt{50}}{\sqrt{10}}$
12262	Simplify	( square root of 52)/( square root of 12)	$\frac{\sqrt{52}}{\sqrt{12}}$
12263	Simplify	( square root of 6)/( square root of 27)	$\frac{\sqrt{6}}{\sqrt{27}}$
12264	Simplify	( square root of 8)/( square root of 27)	$\frac{\sqrt{8}}{\sqrt{27}}$
12265	Simplify	(v^2-2v-48)/(v^2-12v+36)*(v-6)/(v-8)	$\frac{v^{2} - 2 v - 48}{v^{2} - 12 v + 36} \cdot \frac{v - 6}{v - 8}$
12266	Simplify	( cube root of 20)/( square root of 4)	$\frac{\sqrt[3]{20}}{\sqrt{4}}$
12267	Simplify	( cube root of 750)/( cube root of 3)	$\frac{\sqrt[3]{750}}{\sqrt[3]{3}}$
12268	Simplify	(w^(4/3)w^(2/3))/(w^(1/3))	$\frac{w^{\frac{4}{3}} w^{\frac{2}{3}}}{w^{\frac{1}{3}}}$
12269	Simplify	(x^(1/2))/(x^(2/11))	$\frac{x^{\frac{1}{2}}}{x^{\frac{2}{11}}}$
12270	Simplify	(x^-1)/-1	$\frac{x^{- 1}}{- 1}$
12271	Simplify	(x^2)/(2^2)f(7/93+4)+x÷( square root of 2)	$\frac{x^{2}}{2^{2}} \cdot f \cdot (\frac{7}{93} + 4) + x \div \sqrt{2}$
12272	Simplify	(x^2)/(x-5)*(x^2-7x+10)/(x^2+3x)	$\frac{x^{2}}{x - 5} \cdot \frac{x^{2} - 7 x + 10}{x^{2} + 3 x}$
12273	Simplify	(x^2+2xy+y^2)/(x^2-2xy+y^2)*(9x-9y)/(5x+5y)	$\frac{x^{2} + 2 x y + y^{2}}{x^{2} - 2 x y + y^{2}} \cdot \frac{9 x - 9 y}{5 x + 5 y}$
12274	Simplify	(x^2+3x-10)/(x^2-3x+2)*(x^2+x-2)/(x^2+2x-15)	$\frac{x^{2} + 3 x - 10}{x^{2} - 3 x + 2} \cdot \frac{x^{2} + x - 2}{x^{2} + 2 x - 15}$
12275	Simplify	(x^2+3x-18)/(x-1)*(2x^2-2x)/(x^3-3x^2)	$\frac{x^{2} + 3 x - 18}{x - 1} \cdot \frac{2 x^{2} - 2 x}{x^{3} - 3 x^{2}}$
12276	Simplify	(x^2+3x-28)/(x^2-2x-8)	$\frac{x^{2} + 3 x - 28}{x^{2} - 2 x - 8}$
12277	Simplify	(x^2+5x-14)/(x^2-3x+2)*(x^2-6x+5)/(x^2-25)	$\frac{x^{2} + 5 x - 14}{x^{2} - 3 x + 2} \cdot \frac{x^{2} - 6 x + 5}{x^{2} - 25}$
12278	Simplify	(x^2+5x-6)/(x^2-1)	$\frac{x^{2} + 5 x - 6}{x^{2} - 1}$
12279	Simplify	(x^2+5x-6)/(x^2-9)+(x^2-2x-12)/(x^2-9)	$\frac{x^{2} + 5 x - 6}{x^{2} - 9} + \frac{x^{2} - 2 x - 12}{x^{2} - 9}$
12280	Simplify	(x^2-12x+36)/(x^2-11x+30)	$\frac{x^{2} - 12 x + 36}{x^{2} - 11 x + 30}$
12281	Simplify	(x^2-14x+48)/(x^2-64)	$\frac{x^{2} - 14 x + 48}{x^{2} - 64}$
12282	Simplify	(x^2-2x-15)/(x^2+2x-35)*(x^2+x-42)/(x^2+10x+21)	$\frac{x^{2} - 2 x - 15}{x^{2} + 2 x - 35} \cdot \frac{x^{2} + x - 42}{x^{2} + 10 x + 21}$
12283	Simplify	(x^2-2x-15)/(x^2+2x-35)*(x^2+x-42)/(x+10x+21)	$\frac{x^{2} - 2 x - 15}{x^{2} + 2 x - 35} \cdot \frac{x^{2} + x - 42}{x + 10 x + 21}$
12284	Simplify	(x^2-36)/(x^2)*(x^2-6x)/(x^2+3x-54)	$\frac{x^{2} - 36}{x^{2}} \cdot \frac{x^{2} - 6 x}{x^{2} + 3 x - 54}$
12285	Simplify	(x^2-3x-10)/(x^2+7x+10)	$\frac{x^{2} - 3 x - 10}{x^{2} + 7 x + 10}$
12286	Simplify	(x^2-48)/(x^2+15x+56)-(x-8)/(x+8)	$\frac{x^{2} - 48}{x^{2} + 15 x + 56} - \frac{x - 8}{x + 8}$
12287	Simplify	(x^2-49)/(x^2)*(x^2-7x)/(x^2+x-56)	$\frac{x^{2} - 49}{x^{2}} \cdot \frac{x^{2} - 7 x}{x^{2} + x - 56}$
12288	Simplify	(x^2-5)/(x^2+5x-14)-(x+3)/(x+7)	$\frac{x^{2} - 5}{x^{2} + 5 x - 14} - \frac{x + 3}{x + 7}$
12289	Simplify	(x^2-6x-40)/(x^2-8x-20)*(x+7)/(x+4)	$\frac{x^{2} - 6 x - 40}{x^{2} - 8 x - 20} \cdot \frac{x + 7}{x + 4}$
12290	Simplify	(x^2-6x-7)/(x^2-2x-3)	$\frac{x^{2} - 6 x - 7}{x^{2} - 2 x - 3}$
12291	Simplify	(x^2-9)/(x^2-2x-15)*(x^2-25)/(x^2+2x-15)	$\frac{x^{2} - 9}{x^{2} - 2 x - 15} \cdot \frac{x^{2} - 25}{x^{2} + 2 x - 15}$
12292	Simplify	(x^2y)/z*((yz^3)/(x^4))/((xy^4)/5)	$\frac{x^{2} y}{z} \cdot \frac{\frac{y z^{3}}{x^{4}}}{\frac{x y^{4}}{5}}$
12293	Simplify	(x^(2+6))/(x^(2+4x-12))+(7x)/(x^(2+7x+6))	$\frac{x^{2 + 6}}{x^{2 + 4 x - 12}} + \frac{7 x}{x^{2 + 7 x + 6}}$
12294	Simplify	(-x^3+x)/( square root of 13-x^2)+12x square root of 13-x^2	$\frac{- x^{3} + x}{\sqrt{13 - x^{2}}} + 12 x \sqrt{13 - x^{2}}$
12295	Simplify	(x^3-2x-3)/(x-3)	$\frac{x^{3} - 2 x - 3}{x - 3}$
12296	Simplify	(y^11)/(y^6)	$\frac{y^{11}}{y^{6}}$
12297	Simplify	(y^2+14y+48)/(y^2+6y-7)*(y^2+9y-10)/(y^2+12y+36)	$\frac{y^{2} + 14 y + 48}{y^{2} + 6 y - 7} \cdot \frac{y^{2} + 9 y - 10}{y^{2} + 12 y + 36}$
12298	Simplify	(y^2+5y)/(y^2+10y+25)	$\frac{y^{2} + 5 y}{y^{2} + 10 y + 25}$
12299	Simplify	(y^2+6)/(y+5)-(y-4)/(y-2)	$\frac{y^{2} + 6}{y + 5} - \frac{y - 4}{y - 2}$
12300	Simplify	(y^6)/(9y+81)*(6y+54)/(6y^8)	$\frac{y^{6}}{9 y + 81} \cdot \frac{6 y + 54}{6 y^{8}}$