Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
23901	Simplify	cube root of 64y^9	$\sqrt[3]{64 y^{9}}$
23902	Identify the Zeros and Their Multiplicities	f(x)=(x-15)(x+1)(x-10)	$f (x) = (x - 15) (x + 1) (x - 10)$
23903	Simplify	cube root of 64(a-5)^5	$\sqrt[3]{64 {(a - 5)}^{5}}$
23904	Simplify	cube root of 27x^15y^24	$\sqrt[3]{27 x^{15} y^{24}}$
23905	Simplify	cube root of -27x^24	$\sqrt[3]{- 27 x^{24}}$
23906	Simplify	cube root of 128x^13y^6	$\sqrt[3]{128 x^{13} y^{6}}$
23907	Identify the Zeros and Their Multiplicities	f(x)=(x-3)(x+8)(x-11)	$f (x) = (x - 3) (x + 8) (x - 11)$
23908	Solve by Factoring	4x^2+16x=0	$4 x^{2} + 16 x = 0$
23909	Identify the Zeros and Their Multiplicities	f(x)=0.5x^3+0.25x^2+0.125x+0.0625	$f (x) = 0.5 x^{3} + 0.25 x^{2} + 0.125 x + 0.0625$
23910	Simplify	square root of -44	$\sqrt{- 44}$
23911	Identify the Zeros and Their Multiplicities	f(x)=11x^3-x^2+11x-1	$f (x) = 11 x^{3} - x^{2} + 11 x - 1$
23912	Simplify	12 root of y^12	$\sqrt[12]{y^{12}}$
23913	Identify the Zeros and Their Multiplicities	x^4-22x^3+121x^2	$x^{4} - 22 x^{3} + 121 x^{2}$
23914	Simplify	square root of 89	$\sqrt{89}$
23915	Identify the Zeros and Their Multiplicities	x^4-2x^3+38x^2-2x+37	$x^{4} - 2 x^{3} + 38 x^{2} - 2 x + 37$
23916	Identify the Zeros and Their Multiplicities	x^5-10x^4+25x^3	$x^{5} - 10 x^{4} + 25 x^{3}$
23917	Identify the Zeros and Their Multiplicities	x^6-3x^5+4x^3	$x^{6} - 3 x^{5} + 4 x^{3}$
23918	Divide Using Synthetic Division	(x^5+8x^3-9)/(x-1)	$\frac{x^{5} + 8 x^{3} - 9}{x - 1}$
23919	Identify the Zeros and Their Multiplicities	f(x)=4x^11-20x^7+2x^3-15x+14	$f (x) = 4 x^{11} - 20 x^{7} + 2 x^{3} - 15 x + 14$
23920	Solve by Factoring	square root of x+ square root of x-5=1	$\sqrt{x} + \sqrt{x - 5} = 1$
23921	Identify the Zeros and Their Multiplicities	f(x)=3(x-5)(x-4)(x+2)(x+9)	$f (x) = 3 (x - 5) (x - 4) (x + 2) (x + 9)$
23922	Solve by Factoring	square root of x=11	$\sqrt{x} = 11$
23923	Solve by Factoring	square root of x+4+ square root of x-4=4	$\sqrt{x + 4} + \sqrt{x - 4} = 4$
23924	Solve by Factoring	square root of x+15=x-5	$\sqrt{x + 15} = x - 5$
23925	Identify the Zeros and Their Multiplicities	f(x)=2x^3-4x^2-22x+44	$f (x) = 2 x^{3} - 4 x^{2} - 22 x + 44$
23926	Solve by Factoring	square root of 3x-2-4=0	$\sqrt{3 x - 2} - 4 = 0$
23927	Identify the Zeros and Their Multiplicities	f(x)=2x^3-4x^2-38x+76	$f (x) = 2 x^{3} - 4 x^{2} - 38 x + 76$
23928	Solve by Factoring	square root of 3x+13-5=x	$\sqrt{3 x + 13} - 5 = x$
23929	Solve by Factoring	square root of 3x+28-8=x	$\sqrt{3 x + 28} - 8 = x$
23930	Solve by Factoring	square root of 41-x=x+1	$\sqrt{41 - x} = x + 1$
23931	Identify the Zeros and Their Multiplicities	f(x)=-3(x+4)(x+4)(x+4)(x-2)	$f (x) = - 3 (x + 4) (x + 4) (x + 4) (x - 2)$
23932	Solve by Factoring	square root of 4x-3=3	$\sqrt{4 x - 3} = 3$
23933	Identify the Zeros and Their Multiplicities	f(x)=4x^4+20x^3+13x^2-30x+9	$f (x) = 4 x^{4} + 20 x^{3} + 13 x^{2} - 30 x + 9$
23934	Solve by Factoring	x^2+3x-40=0	$x^{2} + 3 x - 40 = 0$
23935	Identify the Zeros and Their Multiplicities	f(x)=x(x-3)(x-4)^4	$f (x) = x (x - 3) {(x - 4)}^{4}$
23936	Solve by Factoring	x^2+11x+10=0	$x^{2} + 11 x + 10 = 0$
23937	Solve by Factoring	x^-2+7x^-1+12=0	$x^{- 2} + 7 x^{- 1} + 12 = 0$
23938	Solve by Factoring	x^2+9=0	$x^{2} + 9 = 0$
23939	Solve by Factoring	x^2-14x+49=0	$x^{2} - 14 x + 49 = 0$
23940	Solve by Factoring	x^2-x=20	$x^{2} - x = 20$
23941	Solve by Factoring	x^2-2x=15	$x^{2} - 2 x = 15$
23942	Identify the Zeros and Their Multiplicities	f(x)=x^2(x^2+4x+4)	$f (x) = x^{2} (x^{2} + 4 x + 4)$
23943	Solve by Factoring	x^3-x^2-4x+4=0	$x^{3} - x^{2} - 4 x + 4 = 0$
23944	Solve by Factoring	x^3+5x^2-9x-45=0	$x^{3} + 5 x^{2} - 9 x - 45 = 0$
23945	Identify the Zeros and Their Multiplicities	f(x)=x^3-1.2x+2	$f (x) = x^{3} - 1.2 x + 2$
23946	Solve by Factoring	147x-49=3x^3-x^2	$147 x - 49 = 3 x^{3} - x^{2}$
23947	Solve by Factoring	16x^2-25=0	$16 x^{2} - 25 = 0$
23948	Identify the Zeros and Their Multiplicities	-2x^3-19x^2-138x+74	$- 2 x^{3} - 19 x^{2} - 138 x + 74$
23949	Solve by Factoring	2x^2-7x-15=0	$2 x^{2} - 7 x - 15 = 0$
23950	Identify the Zeros and Their Multiplicities	f(x)=x^4+2x^3-8x^2	$f (x) = x^{4} + 2 x^{3} - 8 x^{2}$
23951	Solve by Factoring	2x^2+x-6=0	$2 x^{2} + x - 6 = 0$
23952	Solve by Factoring	-10=-14v+14v	$- 10 = - 14 v + 14 v$
23953	Solve by Factoring	x^4-25=0	$x^{4} - 25 = 0$
23954	Identify the Zeros and Their Multiplicities	-4x^3-28x^2-32x+64	$- 4 x^{3} - 28 x^{2} - 32 x + 64$
23955	Solve by Factoring	x^4-12x^2-64=0	$x^{4} - 12 x^{2} - 64 = 0$
23956	Identify the Zeros and Their Multiplicities	f(x)=x^4+5x^2-36	$f (x) = x^{4} + 5 x^{2} - 36$
23957	Solve by Factoring	x^4+x^2-2=0	$x^{4} + x^{2} - 2 = 0$
23958	Identify the Zeros and Their Multiplicities	f(x)=x^4+5x^3+10x^2+20x+24	$f (x) = x^{4} + 5 x^{3} + 10 x^{2} + 20 x + 24$
23959	Solve by Factoring	x^3-4x^2-x+4=0	$x^{3} - 4 x^{2} - x + 4 = 0$
23960	Solve by Factoring	x^3-36x=0	$x^{3} - 36 x = 0$
23961	Identify the Zeros and Their Multiplicities	f(x)=x^4-5x^3-36x^2+272x-448	$f (x) = x^{4} - 5 x^{3} - 36 x^{2} + 272 x - 448$
23962	Identify the Zeros and Their Multiplicities	f(x)=x^4-9x^3-15x^2+325x-750	$f (x) = x^{4} - 9 x^{3} - 15 x^{2} + 325 x - 750$
23963	Solve by Factoring	25^(x^2)*5^(5x)=125	$25^{x^{2}} \cdot 5^{5 x} = 125$
23964	Solve by Factoring	2/y+1/2=5/(2y)	$\frac{2}{y} + \frac{1}{2} = \frac{5}{2 y}$
23965	Identify the Zeros and Their Multiplicities	f(x)=x^6+8x^5+16x^4	$f (x) = x^{6} + 8 x^{5} + 16 x^{4}$
23966	Solve by Factoring	1/x+1/(x+2)=1/7	$\frac{1}{x} + \frac{1}{x + 2} = \frac{1}{7}$
23967	Identify the Zeros and Their Multiplicities	4x^7+40x^6+100x^5	$4 x^{7} + 40 x^{6} + 100 x^{5}$
23968	Solve by Factoring	1/x+1/(x+4)=1/6	$\frac{1}{x} + \frac{1}{x + 4} = \frac{1}{6}$
23969	Identify the Zeros and Their Multiplicities	6x^3-x^2-384x+64	$6 x^{3} - x^{2} - 384 x + 64$
23970	Identify the Zeros and Their Multiplicities	6x^3-x^2-96x+16	$6 x^{3} - x^{2} - 96 x + 16$
23971	Solve by Factoring	1/(c-3)-1/c=3/(c(c-3))	$\frac{1}{c - 3} - \frac{1}{c} = \frac{3}{c (c - 3)}$
23972	Identify the Zeros and Their Multiplicities	5(x+7)^2(x-7)^3	$5 {(x + 7)}^{2} {(x - 7)}^{3}$
23973	Solve by Factoring	1/(x-1)+2/x=0	$\frac{1}{x - 1} + \frac{2}{x} = 0$
23974	Identify the Zeros and Their Multiplicities	5x^3-x^2-245x+49	$5 x^{3} - x^{2} - 245 x + 49$
23975	Solve by Factoring	1/(x-2)+3/(x+3)=4/(x^2+x-6)	$\frac{1}{x - 2} + \frac{3}{x + 3} = \frac{4}{x^{2} + x - 6}$
23976	Identify the Zeros and Their Multiplicities	f(x)=7x^3-x^2-252x+36	$f (x) = 7 x^{3} - x^{2} - 252 x + 36$
23977	Solve by Factoring	5/(x^2)-43/x=18	$\frac{5}{x^{2}} - \frac{43}{x} = 18$
23978	Solve by Factoring	4/x+x/(x+3)=9/(x^2+3x)	$\frac{4}{x} + \frac{x}{x + 3} = \frac{9}{x^{2} + 3 x}$
23979	Identify the Zeros and Their Multiplicities	f(x)=6x^3-x^2-294x+49	$f (x) = 6 x^{3} - x^{2} - 294 x + 49$
23980	Solve by Factoring	square root of 18-x=x+2	$\sqrt{18 - x} = x + 2$
23981	Identify the Zeros and Their Multiplicities	f(x)=6x^3-x^2-384x+64	$f (x) = 6 x^{3} - x^{2} - 384 x + 64$
23982	Solve by Factoring	(g+4)/(g-2)=(g-5)/(g-8)	$\frac{g + 4}{g - 2} = \frac{g - 5}{g - 8}$
23983	Write in Standard Form	1/(3+i)	$\frac{1}{3 + i}$
23984	Identify the Zeros and Their Multiplicities	(x-7)(x-5)(x-5)(x+2)	$(x - 7) (x - 5) (x - 5) (x + 2)$
23985	Determine if Prime	8	$8$
23986	Write in Standard Form	(4+i)/(4-i)	$\frac{4 + i}{4 - i}$
23987	Identify the Zeros and Their Multiplicities	(x^3+2x^2-5x-6)/(x-2)	$\frac{(x^{3} + 2 x^{2} - 5 x - 6)}{(x - 2)}$
23988	Solve by Completing the Square	x^2+10x-5=0	$x^{2} + 10 x - 5 = 0$
23989	Identify the Zeros and Their Multiplicities	(x^2-16)^2	${(x^{2} - 16)}^{2}$
23990	Solve by Completing the Square	(x^2)/2+3/2x=4	$\frac{x^{2}}{2} + \frac{3}{2} x = 4$
23991	Identify the Zeros and Their Multiplicities	(x^2-16)^5	${(x^{2} - 16)}^{5}$
23992	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3-9x^2+6x-24	$f (x) = x^{3} - 9 x^{2} + 6 x - 24$
23993	Solve by Completing the Square	x^2+3x-10=0	$x^{2} + 3 x - 10 = 0$
23994	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+5x^2-61x-65	$f (x) = x^{3} + 5 x^{2} - 61 x - 65$
23995	Solve by Completing the Square	x^2+8x-3=0	$x^{2} + 8 x - 3 = 0$
23996	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-3x-18	$f (x) = x^{3} + 4 x^{2} - 3 x - 18$
23997	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-74x-77	$f (x) = x^{3} + 4 x^{2} - 74 x - 77$
23998	Solve by Completing the Square	x^2-4x+4=0	$x^{2} - 4 x + 4 = 0$
23999	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+3x^2-83x-85	$f (x) = x^{3} + 3 x^{2} - 83 x - 85$
24000	Solve by Completing the Square	x^2-6x=-5	$x^{2} - 6 x = - 5$