Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7901	Simplify	7/(6a^2b)+3/(4ab^3)	$\frac{7}{6 a^{2} b} + \frac{3}{4 a b^{3}}$
7902	Simplify	7/(7x^3)-1/(2x)	$\frac{7}{7 x^{3}} - \frac{1}{2 x}$
7903	Simplify	(a+8)/14+5/14	$\frac{a + 8}{14} + \frac{5}{14}$
7904	Simplify	b^2+7b-6	$b^{2} + 7 b - 6$
7905	Simplify	d/(d+4)-(2d)/(d-5)	$\frac{d}{d + 4} - \frac{2 d}{d - 5}$
7906	Simplify	((a-ab)/(a^2))÷((a-1)/(a^3))	$\frac{a - a b}{a^{2}} \div \frac{a - 1}{a^{3}}$
7907	Simplify	b^(1/3)x*b^(7/3)	$b^{\frac{1}{3}} x \cdot b^{\frac{7}{3}}$
7908	Simplify	b^5*b^2	$b^{5} \cdot b^{2}$
7909	Simplify	b^2-10b-21	$b^{2} - 10 b - 21$
7910	Simplify	f^3+4f^2+f+4	$f^{3} + 4 f^{2} + f + 4$
7911	Simplify	6/14	$\frac{6}{14}$
7912	Simplify	b^4*b^2	$b^{4} \cdot b^{2}$
7913	Simplify	(k+3)/(4k-2)*(12k^2+2k-4)	$\frac{k + 3}{4 k - 2} \cdot (12 k^{2} + 2 k - 4)$
7914	Simplify	p^2q	$p^{2} q$
7915	Simplify	((mn)/3)÷(m/n)	$\frac{m n}{3} \div \frac{m}{n}$
7916	Simplify	pi/q*q/pi	$\frac{π}{q} \cdot \frac{q}{π}$
7917	Simplify	(p^10)÷(p^7)	$p^{10} \div p^{7}$
7918	Simplify	m^4*n^4	$m^{4} \cdot n^{4}$
7919	Simplify	(m-13)/2-8	$\frac{m - 13}{2} - 8$
7920	Simplify	-mn^2(-m^3+mn-n^2)	$- m n^{2} (- m^{3} + m n - n^{2})$
7921	Simplify	n^(2-(n-2)^2)	$n^{2 - {(n - 2)}^{2}}$
7922	Simplify	n^2-3 square root of 4n^4+n^3-11n^2-3n+6	$n^{2} - 3 \sqrt{4 n^{4} + n^{3} - 11 n^{2} - 3 n + 6}$
7923	Simplify	r^-4s^2	$r^{- 4} s^{2}$
7924	Simplify	s/(s^2+6s+9)+5/(s^2+4s+3)	$\frac{s}{s^{2} + 6 s + 9} + \frac{5}{s^{2} + 4 s + 3}$
7925	Simplify	u^(7/8)*u^(3/4)	$u^{\frac{7}{8}} \cdot u^{\frac{3}{4}}$
7926	Simplify	u^4uu^5	$u^{4} \cdot u \cdot u^{5}$
7927	Simplify	square root of 12/49	$\sqrt{\frac{12}{49}}$
7928	Simplify	square root of y^5- square root of 9y^5- square root of 25y	$\sqrt{y^{5} - \sqrt{9 y^{5} - \sqrt{25 y}}}$
7929	Simplify	square root of 12/(x^4)- square root of 3/(25x^4)	$\sqrt{\frac{12}{x^{4}}} - \sqrt{\frac{3}{25 x^{4}}}$
7930	Simplify	u^(5/8)	$u^{\frac{5}{8}}$
7931	Simplify	square root of 11/81	$\sqrt{\frac{11}{81}}$
7932	Simplify	(t+3)/(t-7)	$\frac{t + 3}{t - 7}$
7933	Simplify	square root of 24x+ square root of 54x	$\sqrt{24 x} + \sqrt{54 x}$
7934	Simplify	square root of 21 square root of 5 square root of 3- square root of 140a^2	$\sqrt{21} \sqrt{5} \sqrt{3} - \sqrt{140 a^{2}}$
7935	Simplify	square root of 2 square root of 10	$\sqrt{2} \sqrt{10}$
7936	Simplify	square root of 27y+ square root of 12y+ square root of 3y	$\sqrt{27 y} + \sqrt{12 y} + \sqrt{3 y}$
7937	Simplify	square root of 3x^7* square root of 20x^5	$\sqrt{3 x^{7}} \cdot \sqrt{20 x^{5}}$
7938	Simplify	square root of 5x^7* square root of 35x	$\sqrt{5 x^{7}} \cdot \sqrt{35 x}$
7939	Simplify	fourth root of 256/8	$\sqrt[4]{\frac{256}{8}}$
7940	Simplify	- cube root of 24- cube root of 24	$- \sqrt[3]{24} - \sqrt[3]{24}$
7941	Simplify	cube root of 216x^16y^10+ cube root of x^16y^10- cube root of 8x^17y^23	$\sqrt[3]{216 x^{16} y^{10}} + \sqrt[3]{x^{16} y^{10}} - \sqrt[3]{8 x^{17} y^{23}}$
7942	Simplify	cube root of 250xy^3+5 cube root of 2xy^3+y cube root of 16x	$\sqrt[3]{250 x y^{3}} + 5 \sqrt[3]{2 x y^{3}} + y \sqrt[3]{16 x}$
7943	Convert to a Mixed Number	30/8	$\frac{30}{8}$
7944	Simplify	cube root of 6a^3b^4* cube root of 18a^5b^8	$\sqrt[3]{6 a^{3} b^{4}} \cdot \sqrt[3]{18 a^{5} b^{8}}$
7945	Simplify	square root of 96*(3 square root of 54)	$\sqrt{96} \cdot (3 \sqrt{54})$
7946	Simplify	square root of y+11-11=y	$\sqrt{y + 11} - 11 = y$
7947	Simplify	v^(-1÷7v^-3)*(4v^2)	$v^{- 1 \div 7 v^{- 3}} \cdot (4 v^{2})$
7948	Simplify	v^-4	$v^{- 4}$
7949	Simplify	square root of 98x^5-2x square root of 18x^3	$\sqrt{98 x^{5}} - 2 x \sqrt{18 x^{3}}$
7950	Simplify	square root of 45a^7* square root of 20a	$\sqrt{45 a^{7}} \cdot \sqrt{20 a}$
7951	Simplify	square root of 5cd^4* square root of 14c^2d^3	$\sqrt{5 c d^{4}} \cdot \sqrt{14 c^{2} d^{3}}$
7952	Simplify	square root of 6x* square root of 12x	$\sqrt{6 x} \cdot \sqrt{12 x}$
7953	Convert to a Mixed Number	33/50	$\frac{33}{50}$
7954	Simplify	4/(x+9)+3/(x-9)	$\frac{4}{x + 9} + \frac{3}{x - 9}$
7955	Simplify	4/7-2/7(x1)/5	$\frac{4}{7} - \frac{2}{7} \cdot \frac{x \cdot 1}{5}$
7956	Simplify	4/x-5/9	$\frac{4}{x} - \frac{5}{9}$
7957	Simplify	4/8(x5)/8	$\frac{4}{8} \cdot \frac{x \cdot 5}{8}$
7958	Simplify	(4/15)÷3 5/9	$\frac{4}{15} \div 3 \frac{5}{9}$
7959	Simplify	-4/7*(-7/4d)	$- \frac{4}{7} \cdot (- \frac{7}{4} d)$
7960	Simplify	4/5(ab^2)-3/8(ab^2)+1/2(a^2b)-5/4(ab^2)	$\frac{4}{5} \cdot (a b^{2}) - \frac{3}{8} \cdot (a b^{2}) + \frac{1}{2} \cdot (a^{2} b) - \frac{5}{4} \cdot (a b^{2})$
7961	Simplify	(-4/9)÷(x/2)	$- \frac{4}{9} \div \frac{x}{2}$
7962	Simplify	4/3x	$\frac{4}{3} x$
7963	Simplify	4/3a^2+2/5a-1/2a^2-4/3a	$\frac{4}{3} a^{2} + \frac{2}{5} a - \frac{1}{2} a^{2} - \frac{4}{3} a$
7964	Simplify	-4/5*(z-12)-1/10z	$- \frac{4}{5} \cdot (z - 12) - \frac{1}{10} z$
7965	Simplify	4/(5/(7/8))2/3+17/30x^317/20	$\frac{4}{\frac{5}{\frac{7}{8}}} \cdot \frac{2}{3} + \frac{17}{30} x^{3} \cdot \frac{17}{20}$
7966	Simplify	4/(2x)+9/(3x)	$\frac{4}{2 x} + \frac{9}{3 x}$
7967	Simplify	4/(3 square root of 18)	$\frac{4}{3 \sqrt{18}}$
7968	Simplify	4/(z^2w^5)+9/(z^3w^3)	$\frac{4}{z^{2} w^{5}} + \frac{9}{z^{3} w^{3}}$
7969	Simplify	3^(2r)(3a)^r(3^-3)^r	$3^{2 r} \cdot {(3 a)}^{r} \cdot {(3^{- 3})}^{r}$
7970	Simplify	(3x-22)/(x-5)-(13-4x)/(x-59)	$\frac{3 x - 22}{x - 5} - \frac{13 - 4 x}{x - 59}$
7971	Simplify	((3x-3)/5)÷((5x-5)/2)	$\frac{3 x - 3}{5} \div \frac{5 x - 5}{2}$
7972	Simplify	(3x+5)/(x+5)-(x+1)/(2-x)-(4x^2-3x-1)/(x^2+3x-10)	$\frac{3 x + 5}{x + 5} - \frac{x + 1}{2 - x} - \frac{4 x^{2} - 3 x - 1}{x^{2} + 3 x - 10}$
7973	Simplify	3x^(2(xy^3))	$3 x^{2 (x y^{3})}$
7974	Simplify	(3x+2)/(12x^2+23x+10)	$\frac{3 x + 2}{12 x^{2} + 23 x + 10}$
7975	Simplify	(3x)/(x+7)+(-4x)/(x-7)	$\frac{3 x}{x + 7} + \frac{- 4 x}{x - 7}$
7976	Simplify	((36-x^2)/(x^2+8x+12))÷((x^(2-6x))/(x-2))	$\frac{36 - x^{2}}{x^{2} + 8 x + 12} \div \frac{x^{2 - 6 x}}{x - 2}$
7977	Simplify	(3x)/4-x/3	$\frac{3 x}{4} - \frac{x}{3}$
7978	Simplify	(3x)/(x^2+6x-7)-(2x)/(x^2+x-2)	$\frac{3 x}{x^{2} + 6 x - 7} - \frac{2 x}{x^{2} + x - 2}$
7979	Simplify	(3a+6b)/(a^2+2ab)*(a^2)/9	$\frac{3 a + 6 b}{a^{2} + 2 a b} \cdot \frac{a^{2}}{9}$
7980	Simplify	((4k^2-3k-1)/(4k^2+9k+5))÷((16k^2-1)/(4k^2+1k-5))	$\frac{4 k^{2} - 3 k - 1}{4 k^{2} + 9 k + 5} \div \frac{16 k^{2} - 1}{4 k^{2} + 1 k - 5}$
7981	Simplify	(3x-9)/(7x+21)*(6x+18)/(14x-42)	$\frac{3 x - 9}{7 x + 21} \cdot \frac{6 x + 18}{14 x - 42}$
7982	Simplify	3/(x+2)*7/(2x)	$\frac{3}{x + 2} \cdot \frac{7}{2 x}$
7983	Simplify	3/4*(8x-12)	$\frac{3}{4} \cdot (8 x - 12)$
7984	Simplify	3/y-(y-1)/3	$\frac{3}{y} - \frac{y - 1}{3}$
7985	Simplify	(3+5i)/7+(-5+7i)/7+((-8i)/7+1/2)	$\frac{3 + 5 i}{7} + \frac{- 5 + 7 i}{7} + (\frac{- 8 i}{7} + \frac{1}{2})$
7986	Simplify	-3/(y-4)-7/(4-y)	$\frac{- 3}{y - 4} - \frac{7}{4 - y}$
7987	Simplify	3/(x+2)+2/(x^2-4)	$\frac{3}{x + 2} + \frac{2}{x^{2} - 4}$
7988	Simplify	30/4	$\frac{30}{4}$
7989	Simplify	31/6	$\frac{31}{6}$
7990	Simplify	35/140	$\frac{35}{140}$
7991	Simplify	((35x^8)/(7x^9))÷((5x^5)/(9x^6))	$\frac{35 x^{8}}{7 x^{9}} \div \frac{5 x^{5}}{9 x^{6}}$
7992	Simplify	((36-g^2)/(30-5g))÷((g^2+g-30)/(7g+6))	$\frac{36 - g^{2}}{30 - 5 g} \div \frac{g^{2} + g - 30}{7 g + 6}$
7993	Simplify	((36x^2-49)/(2x-36))÷((6x+7)/(x-6))	$\frac{36 x^{2} - 49}{2 x - 36} \div \frac{6 x + 7}{x - 6}$
7994	Simplify	36/(6x)+25/(5x)	$\frac{36}{6 x} + \frac{25}{5 x}$
7995	Simplify	(3d-2)/(2d)-(d+1)/(5d)	$\frac{3 d - 2}{2 d} - \frac{d + 1}{5 d}$
7996	Simplify	3/(x^2-9)-2/(x+3)	$\frac{3}{x^{2} - 9} - \frac{2}{x + 3}$
7997	Simplify	3/10x-2/5-1	$\frac{3}{10} x - \frac{2}{5} - 1$
7998	Simplify	3/(2a+1)+6/(2a-1)	$\frac{3}{2 a + 1} + \frac{6}{2 a - 1}$
7999	Simplify	(3x^2)/(x-8)+(6x)/(x-8)	$\frac{3 x^{2}}{x - 8} + \frac{6 x}{x - 8}$
8000	Simplify	3/10(2x)/(7y)(11y)/2	$\frac{3}{10} \cdot \frac{2 x}{7 y} \cdot \frac{11 y}{2}$