Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36801	Simplify	(1/9)4.5+(1/16)4.8	$(\frac{1}{9}) \cdot 4.5 + (\frac{1}{16}) \cdot 4.8$
36802	Simplify	(-1/9y^8)*(1/4y^3)	$(- \frac{1}{9} y^{8}) \cdot (\frac{1}{4} y^{3})$
36803	Simplify	(1/a-1/b)(1/(a^2)+1/(ab)+1/(b^2))	$(\frac{1}{a} - \frac{1}{b}) (\frac{1}{a^{2}} + \frac{1}{a b} + \frac{1}{b^{2}})$
36804	Simplify	(1/(M-2))-1	$(\frac{1}{M - 2}) - 1$
36805	Simplify	((1+2pi)/(3pi-2))-((8pi-1)/(3pi-2))	$(\frac{1 + 2 π}{3 π - 2}) - (\frac{8 π - 1}{3 π - 2})$
36806	Simplify	((1+3a^-1)/(2-a^-1))((a^-2-2a^-1)/(3a^-3+a^-2))	$(\frac{1 + 3 a^{- 1}}{2 - a^{- 1}}) (\frac{a^{- 2} - 2 a^{- 1}}{3 a^{- 3} + a^{- 2}})$
36807	Simplify	(-10/7)+1/6	$(- \frac{10}{7}) + \frac{1}{6}$
36808	Simplify	((12p^2q)/(5p))((15p^4q^3)/(12q))	$(\frac{12 p^{2} q}{5 p}) (\frac{15 p^{4} q^{3}}{12 q})$
36809	Simplify	(15/16-1/8)÷(-9 3/4)	$(\frac{15}{16} - \frac{1}{8}) \div (- 9 \frac{3}{4})$
36810	Simplify	((15y)/(y^2-4y+4))((y^2-4)/(30y^2))	$(\frac{15 y}{y^{2} - 4 y + 4}) (\frac{y^{2} - 4}{30 y^{2}})$
36811	Simplify	(17.5^2)*(3.14m^2)	$({17.5}^{2}) \cdot (3.14 m^{2})$
36812	Simplify	(17^4+2n^3)-(10^(4+n^3))	$(17^{4} + 2 n^{3}) - (10^{4 + n^{3}})$
36813	Simplify	(2a^2b^2+3ab-3)/(2a+3)	$\frac{2 a^{2} b^{2} + 3 a b - 3}{2 a + 3}$
36814	Simplify	(2/2)(56-11)(155+28(87+316))	$(\frac{2}{2}) \cdot (56 - 11) \cdot (155 + 28 \cdot (87 + 3 \cdot 16))$
36815	Simplify	(2/3-1/6)s	$(\frac{2}{3} - \frac{1}{6}) s$
36816	Simplify	(2/3a)(5/6a^2)	$(\frac{2}{3} a) (\frac{5}{6} a^{2})$
36817	Simplify	(2/3a-3/4b)(2/3a-3/4b)	$(\frac{2}{3} a - \frac{3}{4} b) (\frac{2}{3} a - \frac{3}{4} b)$
36818	Simplify	11	$11$
36819	Simplify	(2/5+2/3)÷(4/5)+1 2/3	$(\frac{2}{5} + \frac{2}{3}) \div \frac{4}{5} + 1 \frac{2}{3}$
36820	Simplify	(2/(5d))-(1/(9d))	$(\frac{2}{5 d}) - (\frac{1}{9 d})$
36821	Simplify	(-2^2)(5y^4-7y+1)	$(- 2^{2}) (5 y^{4} - 7 y + 1)$
36822	Simplify	(2+7i)/(3-2i)	$\frac{2 + 7 i}{3 - 2 i}$
36823	Simplify	(((20k^2-7k-3)/(k^2+6k))÷((5k-3)/(k^3-7k-2)))*(k^2-5k+6)/(4k^2-7k-2)	$(\frac{20 k^{2} - 7 k - 3}{k^{2} + 6 k} \div \frac{5 k - 3}{k^{3} - 7 k - 2}) \cdot \frac{k^{2} - 5 k + 6}{4 k^{2} - 7 k - 2}$
36824	Simplify	(20/21+19/30)÷(17/27)	$(\frac{20}{21} + \frac{19}{30}) \div \frac{17}{27}$
36825	Simplify	((200-a)/12)*100	$(\frac{200 - a}{12}) \cdot 100$
36826	Simplify	((24a^3b^8)/(6a^5b))((4b^3a)/(2a^3))	$(\frac{24 a^{3} \cdot b^{8}}{6 a^{5} \cdot b}) \cdot (\frac{4 b^{3} \cdot a}{2 a^{3}})$
36827	Simplify	(24z^5-16z^4)/(4z^2)	$\frac{24 z^{5} - 16 z^{4}}{4 z^{2}}$
36828	Simplify	((-25/(18m))(-(27n)/(6m)))÷(-n/(4mn))	$(- \frac{25}{18 m}) (- \frac{27 n}{6 m}) \div (- \frac{n}{4 m n})$
36829	Simplify	(25/4)(7/(5p))	$(\frac{25}{4}) (\frac{7}{5 p})$
36830	Simplify	(2a)/3	$\frac{2 a}{3}$
36831	Simplify	((2a)/(3a+1)+(3a)/(1-3a))÷((6a^2+10a)/(1-6a+9a^2))	$(\frac{2 a}{3 a + 1} + \frac{3 a}{1 - 3 a}) \div \frac{6 a^{2} + 10 a}{1 - 6 a + 9 a^{2}}$
36832	Simplify	(2a)/(a-7)-(4a)/(a^2-14a+49)	$\frac{2 a}{a - 7} - \frac{4 a}{a^{2} - 14 a + 49}$
36833	Simplify	(3u^2+11u+15)/(2u^2+3u-20)	$\frac{3 u^{2} + 11 u + 15}{2 u^{2} + 3 u - 20}$
36834	Simplify	((2m)/(m+2))((4m^2+5m-6)/(mn))	$(\frac{2 m}{m + 2}) (\frac{4 m^{2} + 5 m - 6}{m n})$
36835	Simplify	((2mn)/((m-n)^2))(m/n-n/m)((m^2+mn+n^2)/(m+n))	$(\frac{2 m n}{{(m - n)}^{2}}) (\frac{m}{n} - \frac{n}{m}) (\frac{m^{2} + m n + n^{2}}{m + n})$
36836	Simplify	(2y^2)((150-2y^2)/3)	$(2 y^{2}) (\frac{150 - 2 y^{2}}{3})$
36837	Simplify	((3b^2+18b)/(b+6))*1/(b+8)	$(\frac{3 b^{2} + 18 b}{b + 6}) \cdot \frac{1}{b + 8}$
36838	Simplify	(-3/2)-(-2 3/8)	$(- \frac{3}{2}) - (- 2 \frac{3}{8})$
36839	Simplify	(3/2+1/8)-(1/4+1/8)	$(\frac{3}{2} + \frac{1}{8}) - (\frac{1}{4} + \frac{1}{8})$
36840	Simplify	(3/4)(3/4)	$(\frac{3}{4}) (\frac{3}{4})$
36841	Simplify	(-3/4)(-3/4)(-3/4)	$(- \frac{3}{4}) (- \frac{3}{4}) (- \frac{3}{4})$
36842	Simplify	(3/4y)(-12)	$(\frac{3}{4} y) (- 12)$
36843	Simplify	(3/5)-(1/4)	$(\frac{3}{5}) - (\frac{1}{4})$
36844	Simplify	(3/5)v(5/2)	$(\frac{3}{5}) v (\frac{5}{2})$
36845	Simplify	3/7-4 1/8	$\frac{3}{7} - 4 \frac{1}{8}$
36846	Simplify	(-3/7)÷(-2 1/7)	$- \frac{3}{7} \div (- 2 \frac{1}{7})$
36847	Simplify	(-3^(1/4y^(1/2)))(-2^(-1/2)y^(1/3))	$(- 3^{\frac{1}{4} y^{\frac{1}{2}}}) (- 2^{- \frac{1}{2}} y^{\frac{1}{3}})$
36848	Simplify	(3^(2n+3))(3^(3n-2))	$(3^{2 n + 3}) (3^{3 n - 2})$
36849	Simplify	(36a^(5/3))/(b^(2/5)c^(1/3))	$\frac{36 a^{\frac{5}{3}}}{b^{\frac{2}{5}} c^{\frac{1}{3}}}$
36850	Simplify	37/9	$\frac{37}{9}$
36851	Simplify	(3i)/(6-2i)	$\frac{3 i}{6 - 2 i}$
36852	Simplify	((3m)/(6m+18))(m^2-7m-30)	$(\frac{3 m}{6 m + 18}) (m^{2} - 7 m - 30)$
36853	Simplify	(3q-2)/(3q)+(2q+7)/(5q)	$\frac{3 q - 2}{3 q} + \frac{2 q + 7}{5 q}$
36854	Simplify	((4a^4b^3)/(a^5b^6))((-a^3)/(-(b^2)))	$(\frac{4 a^{4} b^{3}}{a^{5} b^{6}}) (\frac{- a^{3}}{- (b^{2})})$
36855	Simplify	(((4k^2-4k-15)/(k^2+7k))÷((2k-5)/(k^3+2k^2-35k)))*(k^2-13k+42)/(2k^2-9k-18)	$(\frac{4 k^{2} - 4 k - 15}{k^{2} + 7 k} \div \frac{2 k - 5}{k^{3} + 2 k^{2} - 35 k}) \cdot \frac{k^{2} - 13 k + 42}{2 k^{2} - 9 k - 18}$
36856	Simplify	(4m^4)/(2m)	$\frac{4 m^{4}}{2 m}$
36857	Simplify	(4m^5n^2)/(6m^2n)	$\frac{4 m^{5} n^{2}}{6 m^{2} n}$
36858	Simplify	((4y^2-9)/(2y^2+11y-21))÷((2y^2+y-3)/(y^2+6y-7))	$\frac{4 y^{2} - 9}{2 y^{2} + 11 y - 21} \div \frac{2 y^{2} + y - 3}{y^{2} + 6 y - 7}$
36859	Simplify	(4/5)(-1/3)(4/5)^2(-1/4)^4(4/5)*(-1/3)^0	$(\frac{4}{5}) \cdot (- \frac{1}{3}) \cdot {(\frac{4}{5})}^{2} \cdot {(- \frac{1}{4})}^{4} \cdot (\frac{4}{5}) \cdot {(- \frac{1}{3})}^{0}$
36860	Simplify	(4/5-y^2)*(8/7y^3-y+6/7)	$(\frac{4}{5} - y^{2}) \cdot (\frac{8}{7} y^{3} - y + \frac{6}{7})$
36861	Simplify	4/5k-1/10k	$\frac{4}{5} k - \frac{1}{10} k$
36862	Simplify	(4/5p)*9/10	$(\frac{4}{5} p) \cdot \frac{9}{10}$
36863	Simplify	(4^3*2)÷((6-4)^2)	$4^{3} \cdot 2 \div {(6 - 4)}^{2}$
36864	Simplify	(4a-4b)/(a-b)	$\frac{4 a - 4 b}{a - b}$
36865	Simplify	(-4y^8)(-8y^4)	$(- 4 y^{8}) (- 8 y^{4})$
36866	Simplify	((5a^2-a)/(25a^2-10a+1)+4/(1-25a^2))÷(1-3/(5a-1))-a/(5a+1)	$(\frac{5 a^{2} - a}{25 a^{2} - 10 a + 1} + \frac{4}{1 - 25 a^{2}}) \div (1 - \frac{3}{5 a - 1}) - \frac{a}{5 a + 1}$
36867	Solve for z	3*z+18-7=41	$3 \cdot z + 18 - 7 = 41$
36868	Solve for z	3z+10=55	$3 z + 10 = 55$
36869	Solve for y	3z+8y=32	$3 z + 8 y = 32$
36870	Solve for z	3z-11z=56	$3 z - 11 z = 56$
36871	Solve for z	3z-6=(3z)/4	$3 z - 6 = \frac{3 z}{4}$
36872	Solve for z	4(z-1)=6(z-15)	$4 (z - 1) = 6 (z - 15)$
36873	Solve for z	4(z+8)=32+4z	$4 (z + 8) = 32 + 4 z$
36874	Solve for z	4(z-1)-16=0	$4 (z - 1) - 16 = 0$
36875	Solve for z	4.1*z=34.85	$4.1 \cdot z = 34.85$
36876	Solve for z	-4.53 = log of z	$- 4.53 = \log (z)$
36877	Solve for z	4.7*z=946.58	$4.7 \cdot z = 946.58$
36878	Solve for z	400=9z-0.05z^2	$400 = 9 z - 0.05 z^{2}$
36879	Solve for z	4-10=z/-4	$4 - 10 = \frac{z}{- 4}$
36880	Solve for z	4z-5=9z+20	$4 z - 5 = 9 z + 20$
36881	Solve for y	4z-8y=10	$4 z - 8 y = 10$
36882	Solve for z	-5.4z=-32.4	$- 5.4 z = - 32.4$
36883	Solve for z	5 2/3=z/12	$5 \frac{2}{3} = \frac{z}{12}$
36884	Solve for z	5z^2+6=17z	$5 z^{2} + 6 = 17 z$
36885	Solve for z	5-17=z/-7	$5 - 17 = \frac{z}{- 7}$
36886	Solve for z	5-6z=35	$5 - 6 z = 35$
36887	Solve for z	5sin(z)+15.6-z^2=0	$5 \sin (z) + 15.6 - z^{2} = 0$
36888	Solve for z	-5z+1/2=33	$- 5 z + \frac{1}{2} = 33$
36889	Solve for z	5z+3=2z+1	$5 z + 3 = 2 z + 1$
36890	Solve for z	5z+5+3z=9+4z	$5 z + 5 + 3 z = 9 + 4 z$
36891	Solve for z	5z-2=5(z-1)	$5 z - 2 = 5 (z - 1)$
36892	Solve for z	6(z+2)=3(z+1)-18	$6 (z + 2) = 3 (z + 1) - 18$
36893	Solve for z	6(z+8)=6(z-5)	$6 (z + 8) = 6 (z - 5)$
36894	Solve for z	-6(z-2)=2(z+18)	$- 6 (z - 2) = 2 (z + 18)$
36895	Solve for z	6*6=z+6	$6 \cdot 6 = z + 6$
36896	Solve for z	6-2z=5z-9z+6	$6 - 2 z = 5 z - 9 z + 6$
36897	Solve for x	6z-(3x+8)=16	$6 z - (3 x + 8) = 16$
36898	Solve for z	6z-(z+2)+(-z+3)=15z-10	$6 z - (z + 2) + (- z + 3) = 15 z - 10$
36899	Solve for z	6z(z-2)=0	$6 z (z - 2) = 0$
36900	Solve for k	4k(k+10)=10	$4 k (k + 10) = 10$