Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
55101	Simplify	u^-6*u^6	$u^{- 6} \cdot u^{6}$
55102	Simplify	(u+2)/(8u^2)*(4u^2)/(u^2+5u+6)	$\frac{u + 2}{8 u^{2}} \cdot \frac{4 u^{2}}{u^{2} + 5 u + 6}$
55103	Simplify	(uw-ut+3vw-3vt)/(w^2-t^2)*(6w+6t+uw+tu)/(36-u^2)	$\frac{u w - u t + 3 v w - 3 v t}{w^{2} - t^{2}} \cdot \frac{6 w + 6 t + u w + t u}{36 - u^{2}}$
55104	Simplify	v((- square root of 5-6 square root of 5)^2+(2 square root of 6- square root of 6)^2)	$v ({(- \sqrt{5} - 6 \sqrt{5})}^{2} + {(2 \sqrt{6} - \sqrt{6})}^{2})$
55105	Simplify	v(13(13-5)(13-10)(13-11))	$v (13 (13 - 5) (13 - 10) (13 - 11))$
55106	Simplify	v(54)	$v (54)$
55107	Simplify	square root of 0.6	$\sqrt{0.6}$
55108	Simplify	square root of (-16-3)^2+(22-20)^2	$\sqrt{{(- 16 - 3)}^{2} + {(22 - 20)}^{2}}$
55109	Simplify	( square root of square root of 25)/( square root of 15)	$\frac{\sqrt{\sqrt{25}}}{\sqrt{15}}$
55110	Simplify	(1/2)÷(9/10)	$\frac{1}{2} \div \frac{9}{10}$
55111	Simplify	( square root of 1/71)/7 square root of 7	$\frac{\sqrt{\frac{1}{7}} \cdot 1}{7} \cdot \sqrt{7}$
55112	Simplify	square root of 14/21	$\sqrt{\frac{14}{21}}$
55113	Simplify	square root of 15/125	$\sqrt{\frac{15}{125}}$
55114	Simplify	square root of 17/144	$\sqrt{\frac{17}{144}}$
55115	Simplify	square root of 175/(y^2)+ square root of 7/(9y^2)	$\sqrt{\frac{175}{y^{2}}} + \sqrt{\frac{7}{9 y^{2}}}$
55116	Simplify	- square root of 19^7	$- \sqrt{19^{7}}$
55117	Simplify	square root of 2/3+ square root of 18/17	$\sqrt{\frac{2}{3}} + \sqrt{\frac{18}{17}}$
55118	Simplify	square root of 21/75	$\sqrt{\frac{21}{75}}$
55119	Simplify	square root of 25/100	$\sqrt{\frac{25}{100}}$
55120	Simplify	1/2+(-5/2)	$\frac{1}{2} + (- \frac{5}{2})$
55121	Simplify	1/2x^2(8x^2-6x+1)	$\frac{1}{2} x^{2} (8 x^{2} - 6 x + 1)$
55122	Simplify	square root of 28/2	$\sqrt{\frac{28}{2}}$
55123	Simplify	square root of 28a^2+ cube root of 54+ square root of 9a^2	$\sqrt{28 a^{2}} + \sqrt[3]{54} + \sqrt{9 a^{2}}$
55124	Simplify	square root of 3/( square root of 60)	$\sqrt{\frac{3}{\sqrt{60}}}$
55125	Simplify	1/(2+ square root of 5)	$\frac{1}{2 + \sqrt{5}}$
55126	Simplify	1/(2x^-4)	$\frac{1}{2 x^{- 4}}$
55127	Simplify	1/3(25x^2)(7x)	$\frac{1}{3} (25 x^{2}) (7 x)$
55128	Simplify	square root of 4/25* square root of 0.09	$\sqrt{\frac{4}{25}} \cdot \sqrt{0.09}$
55129	Simplify	-1/3(x+4)^2	$- \frac{1}{3} {(x + 4)}^{2}$
55130	Simplify	square root of 4121/125	$\sqrt{\frac{4121}{125}}$
55131	Simplify	- square root of 49/64	$- \sqrt{\frac{49}{64}}$
55132	Simplify	square root of 5/25	$\sqrt{\frac{5}{25}}$
55133	Simplify	1/3 log base 4 of z+4 log base 4 of x- log base 4 of w	$\frac{1}{3} \log_{4} (z) + 4 \log_{4} (x) - \log_{4} (w)$
55134	Simplify	square root of 5/8* square root of 63/70	$\sqrt{\frac{5}{8}} \cdot \sqrt{\frac{63}{70}}$
55135	Simplify	square root of 6^2-11	$\sqrt{6^{2}} - 11$
55136	Simplify	s^2+20s	$s^{2} + 20 s$
55137	Simplify	s^2+2s+2	$s^{2} + 2 s + 2$
55138	Simplify	s^2+3s+2	$s^{2} + 3 s + 2$
55139	Simplify	s^2=25	$s^{2} = 25$
55140	Simplify	s^2-7s-s+7	$s^{2} - 7 s - s + 7$
55141	Simplify	s^3s^6	$s^{3} s^{6}$
55142	Simplify	s^3t^3*(s^4t^2)	$s^{3} t^{3} \cdot (s^{4} t^{2})$
55143	Simplify	s^3-5s^2+6s-30	$s^{3} - 5 s^{2} + 6 s - 30$
55144	Simplify	s^3*2	$s^{3} \cdot 2$
55145	Simplify	s^4s^(7s)	$s^{4} \cdot s^{7 \cdot s}$
55146	Simplify	s^-5	$s^{- 5}$
55147	Simplify	s^-7	$s^{- 7}$
55148	Simplify	S^8-S^5	$S^{8} - S^{5}$
55149	Simplify	((s+7)/s)÷(9/s)	$\frac{s + 7}{s} \div \frac{9}{s}$
55150	Simplify	(s-2)/(s^2+5s-8)*(s+4)/8	$\frac{s - 2}{s^{2} + 5 s - 8} \cdot \frac{s + 4}{8}$
55151	Simplify	sa*(sasaassaas^(8963-22222222222222222222))	$s a \cdot (s a s a a s s a a s^{8963 - 22222222222222222222})$
55152	Simplify	(sec(u)-cos(u))/(sec(u))	$\frac{\sec (u) - \cos (u)}{\sec (u)}$
55153	Simplify	(sin(x))/(1-cos(x))*(1+cos(x))/(1+cos(x))	$\frac{\sin (x)}{1 - \cos (x)} \cdot \frac{1 + \cos (x)}{1 + \cos (x)}$
55154	Simplify	(sin(pi/2+a))/(cos(pi-a))	$\frac{\sin (\frac{π}{2} + a)}{\cos (π - a)}$
55155	Simplify	(sin(30))/(cos(60))+(sin(45))/(cos(45))*(cos(30))/1-2cos(60)	$\frac{\sin (30)}{\cos (60)} + \frac{\sin (45)}{\cos (45)} \cdot \frac{\cos (30)}{1} - 2 \cos (60)$
55156	Simplify	(sin(a))/(1-cos(a))	$\frac{\sin (a)}{1 - \cos (a)}$
55157	Simplify	sin(a)^2+cos(a)^2	$\sin^{2} (a) + \cos^{2} (a)$
55158	Simplify	((n^6n^5)÷(n^4)n^3)÷(n^2)*n	$n^{6} \cdot n^{5} \div n^{4} \cdot n^{3} \div n^{2} \cdot n$
55159	Simplify	n^2+9n-6	$n^{2} + 9 n - 6$
55160	Simplify	n^2-25	$n^{2} - 25$
55161	Simplify	n^2-3n-1258	$n^{2} - 3 n - 1258$
55162	Simplify	(p^6p)÷(p^-1)	$p^{6} p \div p^{- 1}$
55163	Simplify	(p^9q^3)÷(p^7)q^2	$p^{9} q^{3} \div p^{7} q^{2}$
55164	Simplify	(p+2)/3-(4p+1)/11	$\frac{p + 2}{3} - \frac{4 p + 1}{11}$
55165	Simplify	((p+9)/(p-7))÷(p+9)*(p-2)/((p-4)(p-2))	$\frac{p + 9}{p - 7} \div (p + 9) \cdot \frac{p - 2}{(p - 4) (p - 2)}$
55166	Simplify	(p-5)/(p^2+p+2)	$\frac{p - 5}{p^{2} + p + 2}$
55167	Simplify	(pi-7)/(3pi+6)-(4pi)/(5pi-3)	$\frac{π - 7}{3 π + 6} - \frac{4 π}{5 π - 3}$
55168	Simplify	( square root of -24)/( square root of -8)	$\frac{\sqrt{- 24}}{\sqrt{- 8}}$
55169	Simplify	(q/1998)÷(8/138700000)	$\frac{q}{1998} \div \frac{8}{138700000}$
55170	Simplify	(q/7)÷(q/26)	$\frac{q}{7} \div \frac{q}{26}$
55171	Simplify	q/82803.6-17.5/83034.6	$\frac{q}{82803.6} - \frac{17.5}{83034.6}$
55172	Simplify	q^(2+3nq-15q-15n)	$q^{2 + 3 n q - 15 q - 15 n}$
55173	Simplify	(r/19)÷(r/26)	$\frac{r}{19} \div \frac{r}{26}$
55174	Simplify	r/7=1	$\frac{r}{7} = 1$
55175	Simplify	r/(r+s)+s/(r-s)	$\frac{r}{r + s} + \frac{s}{r - s}$
55176	Simplify	r/(r-5)-5/(r-5)	$\frac{r}{r - 5} - \frac{5}{r - 5}$
55177	Simplify	r^(-1/2)r^(-1/2)r^(1/2)	$r^{- \frac{1}{2}} \cdot r^{- \frac{1}{2}} \cdot r^{\frac{1}{2}}$
55178	Simplify	r^(1/2)*r	$r^{\frac{1}{2}} \cdot r$
55179	Simplify	r^0s^4t^15*(r^3st^22)	$r^{0} s^{4} t^{15} \cdot (r^{3} s t^{22})$
55180	Simplify	r^-2	$r^{- 2}$
55181	Simplify	r^2t^2-9r^6	$r^{2} t^{2} - 9 r^{6}$
55182	Simplify	r^(2-14rp+49p^2)	$r^{2 - 14 r p + 49 p^{2}}$
55183	Simplify	r^3-t^3	$r^{3} - t^{3}$
55184	Simplify	r^4+12r^3+25r^2+48rr-18÷(r+10)	$r^{4} + 12 r^{3} + 25 r^{2} + 48 r r - 18 \div (r + 10)$
55185	Simplify	r^7	$r^{7}$
55186	Simplify	m^4+6	$m^{4} + 6$
55187	Simplify	(m^5)÷(m^3)	$m^{5} \div m^{3}$
55188	Simplify	m^-8p^0	$m^{- 8} p^{0}$
55189	Simplify	m^-9(m^-1n)^2n^8	$m^{- 9} {(m^{- 1} n)}^{2} n^{8}$
55190	Simplify	(m-1)/2	$\frac{m - 1}{2}$
55191	Simplify	(m-2)/(m^2-7m+10)+(m+2)/(m^2-4m-5)	$\frac{m - 2}{m^{2} - 7 m + 10} + \frac{m + 2}{m^{2} - 4 m - 5}$
55192	Simplify	(m-2)/(2m)+(3m-1)/(5m)	$\frac{m - 2}{2 m} + \frac{3 m - 1}{5 m}$
55193	Simplify	((m-4)/(m+4))÷(m+2)	$\frac{m - 4}{m + 4} \div (m + 2)$
55194	Simplify	((m-5)/(m^2-25))÷((m+1)/(m^2+6m+5))	$\frac{m - 5}{m^{2} - 25} \div \frac{m + 1}{m^{2} + 6 m + 5}$
55195	Simplify	(m-6)/(m^2-6m)	$\frac{m - 6}{m^{2} - 6 m}$
55196	Simplify	((m-9)/(3(m-9)))÷(1/(3(m+9)))	$\frac{m - 9}{3 (m - 9)} \div \frac{1}{3 (m + 9)}$
55197	Simplify	((mnr)/(pqs))÷((mr)/(qs))	$\frac{m n r}{p q s} \div \frac{m r}{q s}$
55198	Simplify	n/(m^2)+3/(mn)+2/m	$\frac{n}{m^{2}} + \frac{3}{m n} + \frac{2}{m}$
55199	Simplify	n/16-(8/n)÷(1/8)+1/n	$\frac{n}{16} - \frac{8}{n} \div \frac{1}{8} + \frac{1}{n}$
55200	Simplify	n/2+n/4+n/6	$\frac{n}{2} + \frac{n}{4} + \frac{n}{6}$