Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
69001	Convert to Regular Notation	1.304*10^7	$1.304 \times 10^{7}$
69002	Solve by Factoring	5x^2-34x-7=0	$5 x^{2} - 34 x - 7 = 0$
69003	Convert to Regular Notation	6.16*10^5	$6.16 \cdot 10^{5}$
69004	Convert to Regular Notation	-3.8*10^-5	$- 3.8 \cdot 10^{- 5}$
69005	Divide Using Long Polynomial Division	(16x^5-48x^4-8x^3)/(8x^2)	$\frac{(16 x^{5} - 48 x^{4} - 8 x^{3})}{8 x^{2}}$
69006	Divide Using Long Polynomial Division	(2u^2-7)/(u+3)	$\frac{(2 u^{2} - 7)}{(u + 3)}$
69007	Solve by Factoring	fourth root of 3x+1-3=0	$\sqrt[4]{3 x + 1} - 3 = 0$
69008	Divide Using Long Polynomial Division	(2x^2-33x+16)/(x-16)	$\frac{(2 x^{2} - 33 x + 16)}{(x - 16)}$
69009	Solve by Factoring	cube root of 7x-6=-5	$\sqrt[3]{7 x - 6} = - 5$
69010	Solve by Factoring	cube root of 52x=-4	$\sqrt[3]{52 x} = - 4$
69011	Divide Using Long Polynomial Division	(3x^4-7x^3+6x^2-x-1)/(x^2-x+2)	$\frac{(3 x^{4} - 7 x^{3} + 6 x^{2} - x - 1)}{(x^{2} - x + 2)}$
69012	Solve by Factoring	x/(2x+6)-1/(x+3)=1	$\frac{x}{2 x + 6} - \frac{1}{x + 3} = 1$
69013	Solve by Factoring	x^(3/4)=8	$x^{\frac{3}{4}} = 8$
69014	Divide Using Long Polynomial Division	(4x^2-8x-1)/(2x+1)	$\frac{(4 x^{2} - 8 x - 1)}{2 x + 1}$
69015	Divide Using Long Polynomial Division	(4x^3+11x^2+9)/(x+3)	$\frac{(4 x^{3} + 11 x^{2} + 9)}{(x + 3)}$
69016	Solve by Factoring	x^(-2/3)+x^(-1/3)-72=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 72 = 0$
69017	Solve by Factoring	x^(1/2)=3	$x^{\frac{1}{2}} = 3$
69018	Divide Using Long Polynomial Division	(5x^4-2x^3-7x^2-39)/(x^2+2x-4)	$\frac{(5 x^{4} - 2 x^{3} - 7 x^{2} - 39)}{(x^{2} + 2 x - 4)}$
69019	Solve by Factoring	x^(1/2)=2	$x^{\frac{1}{2}} = 2$
69020	Solve by Factoring	x/(x-9)=9/(x-9)+10	$\frac{x}{x - 9} = \frac{9}{x - 9} + 10$
69021	Divide Using Long Polynomial Division	(8x^3+4x^2+100)/(2x+5)	$\frac{(8 x^{3} + 4 x^{2} + 100)}{(2 x + 5)}$
69022	Solve by Factoring	x/(x-3)+2/(x+3)=18/(x^2-9)	$\frac{x}{x - 3} + \frac{2}{x + 3} = \frac{18}{x^{2} - 9}$
69023	Divide Using Long Polynomial Division	(8y^2-4y+1)/(2y-1)	$\frac{(8 y^{2} - 4 y + 1)}{2 y - 1}$
69024	Solve by Factoring	x/(x-8)=8/(x-8)+9	$\frac{x}{x - 8} = \frac{8}{x - 8} + 9$
69025	Solve by Factoring	square root of 9x=x+2	$\sqrt{9 x} = x + 2$
69026	Divide Using Long Polynomial Division	(r^4-r^2+4)/(r^2-r+2)	$\frac{(r^{4} - r^{2} + 4)}{(r^{2} - r + 2)}$
69027	Solve by Factoring	square root of 7x=35	$\sqrt{7 x} = 35$
69028	Divide Using Long Polynomial Division	(x^2+11x+28)/(x+4)	$\frac{(x^{2} + 11 x + 28)}{(x + 4)}$
69029	Solve by Factoring	square root of 8x^2-x=2x	$\sqrt{8 x^{2} - x} = 2 x$
69030	Divide Using Long Polynomial Division	(x^2+11x+30)/(x+5)	$\frac{(x^{2} + 11 x + 30)}{(x + 5)}$
69031	Solve by Factoring	square root of 5-x-3=0	$\sqrt{5 - x} - 3 = 0$
69032	Solve by Factoring	square root of 5x-x+10=0	$\sqrt{5 x} - x + 10 = 0$
69033	Divide Using Long Polynomial Division	(x^2+5x-14)/(x-2)	$\frac{(x^{2} + 5 x - 14)}{(x - 2)}$
69034	Solve by Factoring	square root of 5x-1- square root of x+2=1	$\sqrt{5 x - 1} - \sqrt{x + 2} = 1$
69035	Solve by Factoring	square root of 5x-4=9	$\sqrt{5 x - 4} = 9$
69036	Divide Using Long Polynomial Division	(x^2+7x+10)/(x+5)	$\frac{(x^{2} + 7 x + 10)}{(x + 5)}$
69037	Solve by Factoring	square root of 5x-9-3=1	$\sqrt{5 x - 9} - 3 = 1$
69038	Solve by Factoring	square root of 4x+1 = square root of x+10	$\sqrt{4 x + 1} = \sqrt{x + 10}$
69039	Solve by Factoring	square root of 4x-x+8=0	$\sqrt{4 x} - x + 8 = 0$
69040	Divide Using Long Polynomial Division	(x^2+9x+18)/(x+6)	$\frac{(x^{2} + 9 x + 18)}{(x + 6)}$
69041	Solve by Factoring	square root of 4x-7-1=2	$\sqrt{4 x - 7} - 1 = 2$
69042	Divide Using Long Polynomial Division	(x^3-2)/(x-1)	$\frac{(x^{3} - 2)}{(x - 1)}$
69043	Solve by Factoring	square root of 3x+7=5	$\sqrt{3 x + 7} = 5$
69044	Solve by Factoring	square root of 3x-3+ square root of 2x+8+1=0	$\sqrt{3 x - 3} + \sqrt{2 x + 8} + 1 = 0$
69045	Solve by Factoring	square root of 3y+4=5	$\sqrt{3 y} + 4 = 5$
69046	Solve by Factoring	square root of 3x=12	$\sqrt{3 x} = 12$
69047	Divide Using Long Polynomial Division	(x^3-6x^2+3x+2)/(x-1)	$\frac{(x^{3} - 6 x^{2} + 3 x + 2)}{(x - 1)}$
69048	Solve by Factoring	square root of 3x+3-4=8	$\sqrt{3 x + 3} - 4 = 8$
69049	Solve by Factoring	square root of 3x+22=x+6	$\sqrt{3 x + 22} = x + 6$
69050	Divide Using Long Polynomial Division	(x^4-12x^2-68)/(x+4)	$\frac{(x^{4} - 12 x^{2} - 68)}{x + 4}$
69051	Solve by Factoring	cube root of 20x=-4	$\sqrt[3]{20 x} = - 4$
69052	Divide Using Long Polynomial Division	(x^5+12x^3-5x)/(2x^6+4x^3+x^2-2)	$\frac{(x^{5} + 12 x^{3} - 5 x)}{2 x^{6} + 4 x^{3} + x^{2} - 2}$
69053	Divide Using Long Polynomial Division	(10x^2+15x+20)/(5x+5)	$\frac{10 x^{2} + 15 x + 20}{5 x + 5}$
69054	Solve by Factoring	4x^2+49=28x	$4 x^{2} + 49 = 28 x$
69055	Divide Using Long Polynomial Division	(10x^3+3x^2+5x-2)÷(2x^2-3x-1)	$(10 x^{3} + 3 x^{2} + 5 x - 2) \div (2 x^{2} - 3 x - 1)$
69056	Solve by Factoring	square root of x-2=11	$\sqrt{x - 2} = 11$
69057	Solve by Factoring	square root of x-15=3- square root of x	$\sqrt{x - 15} = 3 - \sqrt{x}$
69058	Divide Using Long Polynomial Division	(12x^2+x-4)/(3x-2)	$\frac{12 x^{2} + x - 4}{3 x - 2}$
69059	Solve by Factoring	square root of x+73=x+1	$\sqrt{x + 73} = x + 1$
69060	Divide Using Long Polynomial Division	(12x^3-7x^2-28x-12)/(4x+3)	$\frac{12 x^{3} - 7 x^{2} - 28 x - 12}{4 x + 3}$
69061	Divide Using Long Polynomial Division	(12x^4-8x^3+11)/(-12x^4)	$\frac{12 x^{4} - 8 x^{3} + 11}{- 12 x^{4}}$
69062	Divide Using Long Polynomial Division	(-12x^5-2x^3-9x)/(3x^4+x^2+1)	$\frac{- 12 x^{5} - 2 x^{3} - 9 x}{3 x^{4} + x^{2} + 1}$
69063	Divide Using Long Polynomial Division	(-14x^2-66xy-76y^2)/(2x+4y)	$\frac{- 14 x^{2} - 66 x y - 76 y^{2}}{2 x + 4 y}$
69064	Divide Using Long Polynomial Division	(-15x^7-12x^6+24x^4-6x^2)/(-3x^4)	$\frac{- 15 x^{7} - 12 x^{6} + 24 x^{4} - 6 x^{2}}{- 3 x^{4}}$
69065	Divide Using Long Polynomial Division	(16x^3+10ix^2+24x+15i)/(8x+5i)	$\frac{16 x^{3} + 10 i x^{2} + 24 x + 15 i}{8 x + 5 i}$
69066	Solve by Factoring	square root of x-1=4	$\sqrt{x} - 1 = 4$
69067	Divide Using Long Polynomial Division	(16x^3-8x^2-7x-1)÷(-4x-1)	$(16 x^{3} - 8 x^{2} - 7 x - 1) \div (- 4 x - 1)$
69068	Solve by Factoring	square root of r+5=11	$\sqrt{r + 5} = 11$
69069	Divide Using Long Polynomial Division	(16x^5+10x^3+2x^2+6)÷(8x^2-4)	$(16 x^{5} + 10 x^{3} + 2 x^{2} + 6) \div (8 x^{2} - 4)$
69070	Simplify	i^7*2	$i^{72}$
69071	Divide Using Long Polynomial Division	(-18x^2-6x+12)/(3x^3+9x-1)	$\frac{- 18 x^{2} - 6 x + 12}{3 x^{3} + 9 x - 1}$
69072	Divide Using Long Polynomial Division	(25a^4+19a^2-a-78)÷(5a^2+6a-9)	$(25 a^{4} + 19 a^{2} - a - 78) \div (5 a^{2} + 6 a - 9)$
69073	Divide Using Long Polynomial Division	(2x^2+17x+21)÷(x+7)	$(2 x^{2} + 17 x + 21) \div (x + 7)$
69074	Divide Using Long Polynomial Division	(2x^2-9x+3)÷(x-3)	$(2 x^{2} - 9 x + 3) \div (x - 3)$
69075	Find the Asymptotes	f(x)=(x+6)/(x^2-9x+18)	$f (x) = \frac{x + 6}{x^{2} - 9 x + 18}$
69076	Find the Asymptotes	f(x)=(x+9)/(x^2-81)	$f (x) = \frac{x + 9}{x^{2} - 81}$
69077	Divide Using Long Polynomial Division	(2x^3+3x^2-30x+7)/(x-3)	$\frac{2 x^{3} + 3 x^{2} - 30 x + 7}{x - 3}$
69078	Divide Using Long Polynomial Division	(2x^3+4x^2-35x+15)÷(x-3)	$(2 x^{3} + 4 x^{2} - 35 x + 15) \div (x - 3)$
69079	Find the Asymptotes	f(x)=e^(x-4)	$f (x) = e^{x - 4}$
69080	Divide Using Long Polynomial Division	(2x^3+7x^2+9x-20)/(x+3)	$\frac{2 x^{3} + 7 x^{2} + 9 x - 20}{x + 3}$
69081	Divide Using Long Polynomial Division	(2x^3-16x^2+7x-37)/(2x^2+5)	$\frac{2 x^{3} - 16 x^{2} + 7 x - 37}{2 x^{2} + 5}$
69082	Divide Using Long Polynomial Division	(2x^3-6x^2+7x-14)/(2x^2+5)	$\frac{2 x^{3} - 6 x^{2} + 7 x - 14}{2 x^{2} + 5}$
69083	Find the Asymptotes	f(x)=(2x)/(x^2-25)	$f (x) = \frac{2 x}{x^{2} - 25}$
69084	Divide Using Long Polynomial Division	(2x^3-6x^2+7x-9)/(2x^2+5)	$\frac{2 x^{3} - 6 x^{2} + 7 x - 9}{2 x^{2} + 5}$
69085	Simplify	10/( square root of 2)	$\frac{10}{\sqrt{2}}$
69086	Divide Using Long Polynomial Division	(2x^4+7x^3+2x^2+5x-4)/(x^2+3x-1)	$\frac{2 x^{4} + 7 x^{3} + 2 x^{2} + 5 x - 4}{x^{2} + 3 x - 1}$
69087	Divide Using Long Polynomial Division	(2x^7-3x^5+5x^3-7x^2)/(x^7+x^5+x^3+x^2)	$\frac{2 x^{7} - 3 x^{5} + 5 x^{3} - 7 x^{2}}{x^{7} + x^{5} + x^{3} + x^{2}}$
69088	Divide Using Long Polynomial Division	(2x-5)÷(2x^3+x^2-23x+25)	$(2 x - 5) \div (2 x^{3} + x^{2} - 23 x + 25)$
69089	Find the Asymptotes	y=2/(x+3)	$y = \frac{2}{x + 3}$
69090	Divide Using Long Polynomial Division	(32a3/7)÷(40a2/5)	$(32 a \frac{3}{7}) \div (40 a \frac{2}{5})$
69091	Divide Using Long Polynomial Division	(3-4x^2)/(x+2)	$\frac{3 - 4 x^{2}}{x + 2}$
69092	Find the Asymptotes	y=1/2x^2	$y = \frac{1}{2} x^{2}$
69093	Find the Asymptotes	g(x)=3^(x-1)	$g (x) = 3^{x - 1}$
69094	Divide Using Long Polynomial Division	(36x^3-96x^2+48x)/(12x)	$\frac{36 x^{3} - 96 x^{2} + 48 x}{12 x}$
69095	Divide Using Long Polynomial Division	(3x^2-14x-5)÷(x-5)	$(3 x^{2} - 14 x - 5) \div (x - 5)$
69096	Find the Asymptotes	h(x)=(x+3)/(x(x-6))	$h (x) = \frac{x + 3}{x (x - 6)}$
69097	Find the Asymptotes	h(x)=-2(5)^x+4	$h (x) = - 2 {(5)}^{x} + 4$
69098	Find the Asymptotes	y=-4/x	$y = - \frac{4}{x}$
69099	Divide Using Long Polynomial Division	(3x^3+3x^2-21x+2)/(x-2)	$\frac{3 x^{3} + 3 x^{2} - 21 x + 2}{x - 2}$
69100	Find the Asymptotes	y=x/(x+3)	$y = \frac{x}{x + 3}$