Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7901	Divide	((7pi)/3)/2	$\frac{\frac{7 π}{3}}{2}$
7902	Divide	(m^4-6m^3+17m^2-28m+20)/(m^2+2m+5)	$\frac{m^{4} - 6 m^{3} + 17 m^{2} - 28 m + 20}{m^{2} + 2 m + 5}$
7903	Divide	((x^2+2)^3(2x)-x^2*3(x^2+2)^2(2x))/(((x^2+2)^3)^2)	$\frac{{(x^{2} + 2)}^{3} (2 x) - x^{2} \cdot 3 {(x^{2} + 2)}^{2} (2 x)}{{({(x^{2} + 2)}^{3})}^{2}}$
7904	Divide	((x^3y^2)^(3/2))/((x^-1y^(-2/3))^(1/4))	$\frac{{(x^{3} y^{2})}^{\frac{3}{2}}}{{(x^{- 1} y^{\frac{- 2}{3}})}^{\frac{1}{4}}}$
7905	Divide	((7-x^2)^(1/2)+x^2(7-x^2)^(-1/2))/(7-x^2)	$\frac{{(7 - x^{2})}^{\frac{1}{2}} + x^{2} {(7 - x^{2})}^{- \frac{1}{2}}}{7 - x^{2}}$
7906	Divide	(-( square root of 3)/2)/(-1/2)	$\frac{- \frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
7907	Divide	((x^2-9x-22)/(x^2+5x-24))/((x+2)/(x-3))	$\frac{\frac{x^{2} - 9 x - 22}{x^{2} + 5 x - 24}}{\frac{x + 2}{x - 3}}$
7908	Divide	(x-1)/(5x^3-7x^2+8x-13)	$\frac{x - 1}{5 x^{3} - 7 x^{2} + 8 x - 13}$
7909	Reduce	1/(x+3)	$\frac{1}{x + 3}$
7910	Reduce	(x^2-13x+40)/(x^4-25x^2)	$\frac{x^{2} - 13 x + 40}{x^{4} - 25 x^{2}}$
7911	Reduce	(zx^2)/((x-2)(x-1)(x+1))	$\frac{z x^{2}}{(x - 2) (x - 1) (x + 1)}$
7912	Reduce	(x^(1/2))/(x^11)	$\frac{x^{\frac{1}{2}}}{x^{11}}$
7913	Reduce	(x^-2y^-3)/(x^-1y^0)	$\frac{x^{- 2} y^{- 3}}{x^{- 1} y^{0}}$
7914	Reduce	(y^2+3y)/(y^3+3y^2-5y-15)	$\frac{y^{2} + 3 y}{y^{3} + 3 y^{2} - 5 y - 15}$
7915	Reduce	(15x^2)/(10x)	$\frac{15 x^{2}}{10 x}$
7916	Reduce	(18x^5)/(6x^2)	$\frac{18 x^{5}}{6 x^{2}}$
7917	Reduce	(2x^2+5x-3)/(1-2x)	$\frac{2 x^{2} + 5 x - 3}{1 - 2 x}$
7918	Reduce	(a^(3/5)a^(1/3))/(a^(3/2))	$\frac{a^{\frac{3}{5}} a^{\frac{1}{3}}}{a^{\frac{3}{2}}}$
7919	Reduce	(b^(1/3))/(b^(-1/2)b^(1/4))	$\frac{b^{\frac{1}{3}}}{b^{- \frac{1}{2}} b^{\frac{1}{4}}}$
7920	Reduce	(m^2-9)/(2m+6)	$\frac{m^{2} - 9}{2 m + 6}$
7921	Reduce	( square root of 8 cube root of 3)/( cube root of 24 square root of 8)	$\frac{\sqrt{8} \sqrt[3]{3}}{\sqrt[3]{24 \sqrt{8}}}$
7922	Reduce	(x^(4b+1))/(x^(2-b))	$\frac{x^{4 b + 1}}{x^{2 - b}}$
7923	Simplify	(1- square root of 5)/3	$\frac{1 - \sqrt{5}}{3}$
7924	Reduce	(x^6-8)/(x- square root of 2)	$\frac{x^{6} - 8}{x - \sqrt{2}}$
7925	Reduce	(4x^2-3x+2)/((x^2-4)(x-1))	$\frac{4 x^{2} - 3 x + 2}{(x^{2} - 4) (x - 1)}$
7926	Reduce	(6x^(-4/3)+2x^(5/3))/(2x^(-1/3))	$\frac{6 x^{- \frac{4}{3}} + 2 x^{\frac{5}{3}}}{2 x^{- \frac{1}{3}}}$
7927	Divide	(f(1+h)-f*1)/h	$\frac{f (1 + h) - f \cdot 1}{h}$
7928	Divide	(f(3+h)-f*3)/h	$\frac{f (3 + h) - f \cdot 3}{h}$
7929	Divide	(5x^4+3x^3-2x^2+4x+8)/(x^2-2)	$\frac{5 x^{4} + 3 x^{3} - 2 x^{2} + 4 x + 8}{x^{2} - 2}$
7930	Divide	(5x^2+37x+41)÷(x+6)	$(5 x^{2} + 37 x + 41) \div (x + 6)$
7931	Divide	(x^4-x^3+x^2-x+2)/(x-5)	$\frac{x^{4} - x^{3} + x^{2} - x + 2}{x - 5}$
7932	Divide	(x^2-9x-8)/(x-4)	$\frac{x^{2} - 9 x - 8}{x - 4}$
7933	Divide	(x^3-x^2-2x+4)/(x-5)	$\frac{x^{3} - x^{2} - 2 x + 4}{x - 5}$
7934	Divide	((x^2y^3)^4(xy^4)^-3)/(x^2y)	$\frac{{(x^{2} y^{3})}^{4} {(x y^{4})}^{- 3}}{x^{2} y}$
7935	Divide	(x^2(7+x)(x-9))/((x+3)(x-2))	$\frac{x^{2} (7 + x) (x - 9)}{(x + 3) (x - 2)}$
7936	Divide	1/(xy)	$\frac{1}{x y}$
7937	Divide	(x^5-3x^2+2x-2)/(x+1)	$\frac{x^{5} - 3 x^{2} + 2 x - 2}{x + 1}$
7938	Divide	(3x^4-4x^3+2x^2-3)/(x^2-3)	$\frac{3 x^{4} - 4 x^{3} + 2 x^{2} - 3}{x^{2} - 3}$
7939	Divide	(3i)/((4-5i)^2)	$\frac{3 i}{{(4 - 5 i)}^{2}}$
7940	Divide	(2x^5-7x^4-11)/(4x^2-6x+8)	$\frac{2 x^{5} - 7 x^{4} - 11}{4 x^{2} - 6 x + 8}$
7941	Solve for x	4x^2-x-3=-3	$4 x^{2} - x - 3 = - 3$
7942	Divide	(4x^2+9x-6)/(4x-3)	$\frac{4 x^{2} + 9 x - 6}{4 x - 3}$
7943	Divide	(4x^2-81)/(x-7)	$\frac{4 x^{2} - 81}{x - 7}$
7944	Divide	(9x^3+3x^2-21x-7)/(3x+4)	$\frac{9 x^{3} + 3 x^{2} - 21 x - 7}{3 x + 4}$
7945	Divide	(xy+y)/y	$\frac{x y + y}{y}$
7946	Divide	(x-5)/(x-3)	$\frac{x - 5}{x - 3}$
7947	Divide	(6x^2+28x+19)÷(x+4)	$(6 x^{2} + 28 x + 19) \div (x + 4)$
7948	Find the Roots (Zeros)	11x^3+15x^2-25x+7=0	$11 x^{3} + 15 x^{2} - 25 x + 7 = 0$
7949	Divide	(x^3+2x^2-2x+9)/(x-6)	$\frac{x^{3} + 2 x^{2} - 2 x + 9}{x - 6}$
7950	Divide	((2x+3)+h-2x+3)/h	$\frac{(2 x + 3) + h - 2 x + 3}{h}$
7951	Write in Standard Form	(9-6i)/(5+6i)	$\frac{9 - 6 i}{5 + 6 i}$
7952	Write in Standard Form	(8-i)/(9+i)	$\frac{8 - i}{9 + i}$
7953	Write in Standard Form	(2+6i)/7	$\frac{2 + 6 i}{7}$
7954	Write in Standard Form	(1-7i)/(2+3i)	$\frac{1 - 7 i}{2 + 3 i}$
7955	Write in Standard Form	(7-6i)/(6+5i)	$\frac{7 - 6 i}{6 + 5 i}$
7956	Write in Standard Form	(8-i)/(-6+2i)	$\frac{8 - i}{- 6 + 2 i}$
7957	Write in Standard Form	(8i)/(6-9i)	$\frac{8 i}{6 - 9 i}$
7958	Write in Standard Form	(8i)/(7-2i)	$\frac{8 i}{7 - 2 i}$
7959	Write in Standard Form	i/(2-i)	$\frac{i}{2 - i}$
7960	Write in Standard Form	(2-4i)/(4+3i)	$\frac{2 - 4 i}{4 + 3 i}$
7961	Write in Standard Form	(2-3i)/(1-2i)	$\frac{2 - 3 i}{1 - 2 i}$
7962	Write in Standard Form	(2-5i)/(9+31i)	$\frac{2 - 5 i}{9 + 31 i}$
7963	Write in Standard Form	(20i)/(1-3i)	$\frac{20 i}{1 - 3 i}$
7964	Write in Standard Form	3/(2+4i)	$\frac{3}{2 + 4 i}$
7965	Write in Standard Form	(3+2i)/(4-3i)	$\frac{3 + 2 i}{4 - 3 i}$
7966	Write in Standard Form	3/(6-i)	$\frac{3}{6 - i}$
7967	Write in Standard Form	3/(7-i)	$\frac{3}{7 - i}$
7968	Write in Standard Form	(3-2i)/(1+4i)	$\frac{3 - 2 i}{1 + 4 i}$
7969	Write in Standard Form	(5-i)/(7+i)	$\frac{5 - i}{7 + i}$
7970	Write in Standard Form	(5i)/(7-4i)	$\frac{5 i}{7 - 4 i}$
7971	Write in Standard Form	(5-i)/(9+i)	$\frac{5 - i}{9 + i}$
7972	Write in Standard Form	(6+i)/(-5i)	$\frac{6 + i}{- 5 i}$
7973	Write in Standard Form	(6+8i)/(7+5i)	$\frac{6 + 8 i}{7 + 5 i}$
7974	Write in Standard Form	(6-5i)/(1-6i)	$\frac{6 - 5 i}{1 - 6 i}$
7975	Write in Standard Form	(5-3i)/(1-2i)	$\frac{5 - 3 i}{1 - 2 i}$
7976	Write in Standard Form	(5+6i)/(6-5i)	$\frac{5 + 6 i}{6 - 5 i}$
7977	Write in Standard Form	(-4+i)/(1+4i)	$\frac{- 4 + i}{1 + 4 i}$
7978	Write in Standard Form	5/(3-15i)	$\frac{5}{3 - 15 i}$
7979	Write in Standard Form	(4+i)/(-9i)	$\frac{4 + i}{- 9 i}$
7980	Write in Standard Form	1/(10-i)	$\frac{1}{10 - i}$
7981	Write in Standard Form	1/(2-5i)	$\frac{1}{2 - 5 i}$
7982	Write in Standard Form	(1/7+i)/(5/i)	$\frac{\frac{1}{7} + i}{\frac{5}{i}}$
7983	Write in Standard Form	i/(1+2i)	$\frac{i}{1 + 2 i}$
7984	Write in Standard Form	(3-2i)/(5-i)	$\frac{3 - 2 i}{5 - i}$
7985	Write in Standard Form	-10/i	$- \frac{10}{i}$
7986	Write in Standard Form	((i)^2+5)/(4-(i))	$\frac{{(i)}^{2} + 5}{4 - (i)}$
7987	Write in Standard Form	(2+i)/(1-i)	$\frac{2 + i}{1 - i}$
7988	Write in Standard Form	(2+6i)/(5i)	$\frac{2 + 6 i}{5 i}$
7989	Write in Standard Form	(4+i)/(-3-5i)	$\frac{4 + i}{- 3 - 5 i}$
7990	Write in Standard Form	(5+6i)/(5-6i)	$\frac{5 + 6 i}{5 - 6 i}$
7991	Write in Standard Form	-1+i square root of 3	$- 1 + i \sqrt{3}$
7992	Write in Standard Form	(8i)/(4-2i)	$\frac{8 i}{4 - 2 i}$
7993	Write in Standard Form	6/(3-i)	$\frac{6}{3 - i}$
7994	Write in Standard Form	(2-i)/(3+i)	$\frac{2 - i}{3 + i}$
7995	Write in Standard Form	(26+39i)/(2-3i)	$\frac{26 + 39 i}{2 - 3 i}$
7996	Write in Standard Form	(-3+5i)/(15i)	$\frac{- 3 + 5 i}{15 i}$
7997	Write in Standard Form	(4-7i)/(7+4i)	$\frac{4 - 7 i}{7 + 4 i}$
7998	Write in Standard Form	(4-5i)/(-5-6i)	$\frac{4 - 5 i}{- 5 - 6 i}$
7999	Write in Standard Form	5/(-1-2i)	$\frac{5}{- 1 - 2 i}$
8000	Write in Standard Form	(1-5i)/(-i)	$\frac{1 - 5 i}{- i}$