Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5001	Multiply	1 1/4*12	$1 \frac{1}{4} \cdot 12$
5002	Multiply	-1 3/4*4 3/4	$- 1 \frac{3}{4} \cdot 4 \frac{3}{4}$
5003	Multiply	-12(6x+2)	$- 12 (6 x + 2)$
5004	Multiply	14 6/7*9	$14 \frac{6}{7} \cdot 9$
5005	Multiply	1/5*(x^2(20x^2-10x+3))	$\frac{1}{5} \cdot (x^{2} (20 x^{2} - 10 x + 3))$
5006	Multiply	121/25*1/2	$\frac{121}{25} \cdot \frac{1}{2}$
5007	Multiply	2/(3/(9/10))	$\frac{2}{\frac{3}{\frac{9}{10}}}$
5008	Multiply	1/4x^144	$\frac{1}{4} x^{144}$
5009	Multiply	4/5*20/7	$\frac{4}{5} \cdot \frac{20}{7}$
5010	Multiply	4/9*81	$\frac{4}{9} \cdot 81$
5011	Multiply	5*x	$5 \cdot x$
5012	Multiply	4x(-x+2)	$4 x (- x + 2)$
5013	Multiply	-4(2 1/6)	$- 4 (2 \frac{1}{6})$
5014	Multiply	5 1/10*1 1/3	$5 \frac{1}{10} \cdot 1 \frac{1}{3}$
5015	Multiply	-52*-0.4	$- 52 \cdot - 0.4$
5016	Multiply	(52(108 1/3))÷2	$52 (108 \frac{1}{3}) \div 2$
5017	Multiply	6.8*0.02	$6.8 \cdot 0.02$
5018	Multiply	4 1/5*8 9/10	$4 \frac{1}{5} \cdot 8 \frac{9}{10}$
5019	Multiply	-4a(a+6)	$- 4 a (a + 6)$
5020	Multiply	3x*2	$3 x \cdot 2$
5021	Multiply	-3y(6y+5)	$- 3 y (6 y + 5)$
5022	Multiply	4*4 3/10	$4 \cdot 4 \frac{3}{10}$
5023	Multiply	3 1/4*2/3	$3 \frac{1}{4} \cdot \frac{2}{3}$
5024	Multiply	3x(4x^2-2x+5)	$3 x (4 x^{2} - 2 x + 5)$
5025	Multiply	2 1/7*3 2/3	$2 \frac{1}{7} \cdot 3 \frac{2}{3}$
5026	Multiply	2x^2(5x+8x^3)	$2 x^{2} (5 x + 8 x^{3})$
5027	Multiply	2 1/5*2 7/9	$2 \frac{1}{5} \cdot 2 \frac{7}{9}$
5028	Multiply	217000*3 4/9	$217000 \cdot 3 \frac{4}{9}$
5029	Multiply	24÷(\|4-10\|)	$24 \div \| 4 - 10 \|$
5030	Multiply	3 4/5*6 2/7	$3 \frac{4}{5} \cdot 6 \frac{2}{7}$
5031	Multiply	25 1/2*32 1/4	$25 \frac{1}{2} \cdot 32 \frac{1}{4}$
5032	Multiply	3(3u+8v+5)	$3 (3 u + 8 v + 5)$
5033	Simplify	( square root of 6- square root of 5)^2	${(\sqrt{6} - \sqrt{5})}^{2}$
5034	Simplify	( square root of 3t+8)^2	${(\sqrt{3 t + 8})}^{2}$
5035	Simplify	( square root of 3x-2)^2=100	${(\sqrt{3 x - 2})}^{2} = 100$
5036	Simplify	( square root of 7+2)^2	${(\sqrt{7} + 2)}^{2}$
5037	Simplify	(x^2-6x-20)÷(x+2)	$(x^{2} - 6 x - 20) \div (x + 2)$
5038	Simplify	( square root of 3+4 square root of 7)^2	${(\sqrt{3} + 4 \sqrt{7})}^{2}$
5039	Simplify	( square root of 2x-4)^2	${(\sqrt{2 x} - 4)}^{2}$
5040	Simplify	(9 square root of 3- square root of 7)(2 square root of 3+4 square root of 7)	$(9 \sqrt{3} - \sqrt{7}) (2 \sqrt{3} + 4 \sqrt{7})$
5041	Simplify	(16x^4y-12x^5y^3)/(2x^3y^2)	$\frac{16 x^{4} y - 12 x^{5} y^{3}}{2 x^{3} y^{2}}$
5042	Simplify	(1+1/y)/(1-1/(y^2))	$\frac{1 + \frac{1}{y}}{1 - \frac{1}{y^{2}}}$
5043	Simplify	(12560x^6-2790x^5-3125x^4+707x^3+100x^2+4x-62)/(x-3)	$\frac{12560 x^{6} - 2790 x^{5} - 3125 x^{4} + 707 x^{3} + 100 x^{2} + 4 x - 62}{x - 3}$
5044	Simplify	(x^-1+y^-1)/(x-y)	$\frac{x^{- 1} + y^{- 1}}{x - y}$
5045	Simplify	(2 square root of 2x)^2	${(2 \sqrt{2 x})}^{2}$
5046	Simplify	(2x^3-64x-48)/(x-6)	$\frac{2 x^{3} - 64 x - 48}{x - 6}$
5047	Simplify	(2x^3-10x^2+x-5)/(x-5)	$\frac{2 x^{3} - 10 x^{2} + x - 5}{x - 5}$
5048	Simplify	(6 square root of 3)^2	${(6 \sqrt{3})}^{2}$
5049	Simplify	(4x^2+19x+26)/(x+3)	$\frac{4 x^{2} + 19 x + 26}{x + 3}$
5050	Simplify	(2x-3)/(4x-6)	$\frac{2 x - 3}{4 x - 6}$
5051	Simplify	((3x-y)(2x-3y))/(6xy)	$\frac{(3 x - y) (2 x - 3 y)}{6 x y}$
5052	Simplify	((-3n)^2)/(6n)	$\frac{{(- 3 n)}^{2}}{6 n}$
5053	Simplify	((x^8y^6)^(1/2))/((x^6y^-3)^(1/3))	$\frac{{(x^{8} \cdot y^{6})}^{\frac{1}{2}}}{{(x^{6} \cdot y^{- 3})}^{\frac{1}{3}}}$
5054	Simplify	( square root of 2(1)+1-1)/2	$\frac{\sqrt{2 (1) + 1} - 1}{2}$
5055	Simplify	((x^2-25)/(x^2-10x+25))/((x+5)/(x-5))	$\frac{\frac{x^{2} - 25}{x^{2} - 10 x + 25}}{\frac{x + 5}{x - 5}}$
5056	Simplify	((2m)^-4)/((7m)^-5)	$\frac{{(2 m)}^{- 4}}{{(7 m)}^{- 5}}$
5057	Simplify	(6x^5-4x^3+5x^2-2x+1)/(x-2)	$\frac{6 x^{5} - 4 x^{3} + 5 x^{2} - 2 x + 1}{x - 2}$
5058	Simplify	(6x^3+16x^2-2x-14)/(3x+5)	$\frac{6 x^{3} + 16 x^{2} - 2 x - 14}{3 x + 5}$
5059	Simplify	(9+ square root of 7)^2	${(9 + \sqrt{7})}^{2}$
5060	Simplify	(i square root of -5)^2	${(i \sqrt{- 5})}^{2}$
5061	Simplify	(i square root of 7)^2	${(i \sqrt{7})}^{2}$
5062	Simplify	((q+3)(q-3))/((q+3)^2)	$\frac{(q + 3) (q - 3)}{{(q + 3)}^{2}}$
5063	Simplify	(6-m)/(m^3-216)	$\frac{6 - m}{m^{3} - 216}$
5064	Simplify	((xy)-3)/((x-5y)*3)	$\frac{(x y) - 3}{(x - 5 y) \cdot 3}$
5065	Simplify	((x-8)^2)/(x^2-64)	$\frac{{(x - 8)}^{2}}{x^{2} - 64}$
5066	Simplify	(1/(2x^2)+x/4)/(1/(x+2)-x/2)	$\frac{\frac{1}{2 x^{2}} + \frac{x}{4}}{\frac{1}{x + 2} - \frac{x}{2}}$
5067	Simplify	(1/(k+2))/(5/(k^2-4))	$\frac{\frac{1}{k + 2}}{\frac{5}{k^{2} - 4}}$
5068	Simplify	((10-5t)/3)/((t-2)/(12t))	$\frac{\frac{10 - 5 t}{3}}{\frac{t - 2}{12 t}}$
5069	Simplify	((b^2-6b+9)/(b^2-b-6))/(b^2-9/4)	$\frac{\frac{b^{2} - 6 b + 9}{b^{2} - b - 6}}{b^{2} - \frac{9}{4}}$
5070	Multiply	9x^3(x^5+9x^3-5)	$9 x^{3} (x^{5} + 9 x^{3} - 5)$
5071	Simplify	(r^2-5r+8)÷(r-3)	$(r^{2} - 5 r + 8) \div (r - 3)$
5072	Simplify	( square root of 5+9i)( square root of 5-9i)	$(\sqrt{5} + 9 i) (\sqrt{5} - 9 i)$
5073	Simplify	( square root of 972xy^2) square root of 9x	$(\sqrt{972 x y^{2}}) \sqrt{9 x}$
5074	Simplify	( square root of a+1/3)( square root of a+2/3)	$(\sqrt{a} + \frac{1}{3}) (\sqrt{a} + \frac{2}{3})$
5075	Multiply	9x^7(4x+6x^2)	$9 x^{7} (4 x + 6 x^{2})$
5076	Multiply	8 1/3*64 1/3	$8 \frac{1}{3} \cdot 64 \frac{1}{3}$
5077	Multiply	-7x(5-x)	$- 7 x (5 - x)$
5078	Multiply	-6x(x-8)	$- 6 x (x - 8)$
5079	Multiply	6 cube root of 189*(4 cube root of 539)	$6 \sqrt[3]{189} \cdot (4 \sqrt[3]{539})$
5080	Multiply	6*3 5/9	$6 \cdot 3 \frac{5}{9}$
5081	Multiply	70 23/50*70 13/50	$70 \frac{23}{50} \cdot 70 \frac{13}{50}$
5082	Simplify	(4a^6-3a^3+2a-2)÷(a-1)	$(4 a^{6} - 3 a^{3} + 2 a - 2) \div (a - 1)$
5083	Simplify	(-12x^8+x^6-8x^3)÷4x^2	$(- 12 x^{8} + x^{6} - 8 x^{3}) \div 4 x^{2}$
5084	Simplify	(2+ square root of 2i)(3- square root of 2i)	$(2 + \sqrt{2 i}) (3 - \sqrt{2 i})$
5085	Simplify	( square root of xy)( square root of x^3y^5)	$(\sqrt{x y}) (\sqrt{x^{3} y^{5}})$
5086	Simplify	(x^3-x^2-4x-2)÷(x-2)	$(x^{3} - x^{2} - 4 x - 2) \div (x - 2)$
5087	Simplify	(2 square root of a+ square root of b)(2 square root of a- square root of b)	$(2 \sqrt{a} + \sqrt{b}) (2 \sqrt{a} - \sqrt{b})$
5088	Simplify	(x^2+xy+9x+9y)/(x+9)	$\frac{x^{2} + x y + 9 x + 9 y}{x + 9}$
5089	Simplify	((x^2+9x+20)/(x^2-16))÷((x+5)/(x-5))	$\frac{x^{2} + 9 x + 20}{x^{2} - 16} \div \frac{x + 5}{x - 5}$
5090	Simplify	(x^2-121)/(x+11)	$\frac{x^{2} - 121}{x + 11}$
5091	Simplify	(x^2+4x+4)/(x+2)	$\frac{x^{2} + 4 x + 4}{x + 2}$
5092	Simplify	(x^2+2x-24)/(4-x)	$\frac{x^{2} + 2 x - 24}{4 - x}$
5093	Simplify	(x^2+3x)/(x^2+6x+9)	$\frac{x^{2} + 3 x}{x^{2} + 6 x + 9}$
5094	Simplify	(x^2+3x-30)/(x+9)	$\frac{x^{2} + 3 x - 30}{x + 9}$
5095	Simplify	(x^2-1)/(x-1)	$\frac{x^{2} - 1}{x - 1}$
5096	Simplify	((x^2-2x-3)/(3x-6))÷((x^2-x-6)/(x-2))	$\frac{x^{2} - 2 x - 3}{3 x - 6} \div \frac{x^{2} - x - 6}{x - 2}$
5097	Simplify	(x^2-4x+4)/(x^2+x-6)	$\frac{x^{2} - 4 x + 4}{x^{2} + x - 6}$
5098	Simplify	(x^2-49)/(x-7)	$\frac{x^{2} - 49}{x - 7}$
5099	Simplify	((x^2-6x)/(x^3+3x^2))÷((x^2+3x-54)/(x^2+9x))	$\frac{x^{2} - 6 x}{x^{3} + 3 x^{2}} \div \frac{x^{2} + 3 x - 54}{x^{2} + 9 x}$
5100	Simplify	((x^2-81)/x)÷((9x+81)/(x-9))	$\frac{x^{2} - 81}{x} \div \frac{9 x + 81}{x - 9}$