Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118001	Find the Inverse	y = cube root of x-3	$y = \sqrt[3]{x} - 3$
118002	Find the GCF	147y^3 , 245y^2	$147 y^{3}$ , $245 y^{2}$
118003	Find the GCF	15xz , 45xz^4	$15 x z$ , $45 x z^{4}$
118004	Find the GCF	8 , 30	$8$ , $30$
118005	Expand Using the Binomial Theorem	(y-2x)^4	${(y - 2 x)}^{4}$
118006	Rationalize the Denominator	-3/(5-2 square root of 2)	$\frac{- 3}{5 - 2 \sqrt{2}}$
118007	Rationalize the Denominator	(2 square root of 12)/(2 square root of 15)	$\frac{2 \sqrt{12}}{2 \sqrt{15}}$
118008	Round to the Nearest Hundredth	0.785	$0.785$
118009	Factor by Grouping	6x^2-18xy-7x+21y	$6 x^{2} - 18 x y - 7 x + 21 y$
118010	Factor by Grouping	8x^4+8x^3+27x+27	$8 x^{4} + 8 x^{3} + 27 x + 27$
118011	Factor by Grouping	5x^3+6x^2+25x+30	$5 x^{3} + 6 x^{2} + 25 x + 30$
118012	Factor by Grouping	5x^3-3x^2-25x+15	$5 x^{3} - 3 x^{2} - 25 x + 15$
118013	Factor by Grouping	8x^2y-28x^2-12y+42	$8 x^{2} y - 28 x^{2} - 12 y + 42$
118014	Factor by Grouping	5x^3+2x^2+35x+14	$5 x^{3} + 2 x^{2} + 35 x + 14$
118015	Find the GCF	10z^5-70z^4+35z^3	$10 z^{5} - 70 z^{4} + 35 z^{3}$
118016	Find the GCF	10z^5-30z^4+15z^3	$10 z^{5} - 30 z^{4} + 15 z^{3}$
118017	Find the GCF	21x-28	$21 x - 28$
118018	Find the GCF	25y^2-35y	$25 y^{2} - 35 y$
118019	Find the GCF	3x^2-9x-120	$3 x^{2} - 9 x - 120$
118020	Find the GCF	6z^5-30z^4+15z^3	$6 z^{5} - 30 z^{4} + 15 z^{3}$
118021	Find the GCF	15x+35	$15 x + 35$
118022	Find the GCF	8x+16	$8 x + 16$
118023	Find Where Undefined/Discontinuous	(x^2-10x+21)/(x^2-9)*(x^2+5x+6)/(x^2-5x-14)	$\frac{x^{2} - 10 x + 21}{x^{2} - 9} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 5 x - 14}$
118024	Find Where Undefined/Discontinuous	(x^2-12x+35)/(x^2-25)*(x^2+8x+15)/(x^2-4x-21)	$\frac{x^{2} - 12 x + 35}{x^{2} - 25} \cdot \frac{x^{2} + 8 x + 15}{x^{2} - 4 x - 21}$
118025	Convert to an Improper Fraction	3 1/9	$3 \frac{1}{9}$
118026	Convert to an Improper Fraction	8 3/5	$8 \frac{3}{5}$
118027	Find the 5th Term	4 , -20 , 100	$4$ , $- 20$ , $100$
118028	Find the 5th Term	5 , -20 , 80	$5$ , $- 20$ , $80$
118029	Find the GCF	4x^3y-xy^3	$4 x^{3} y - x y^{3}$
118030	Convert to an Improper Fraction	5 7/10	$5 \frac{7}{10}$
118031	Find the Vertex	y=24x-3x^2	$y = 24 x - 3 x^{2}$
118032	Find the Vertex	y=-(x-9)^2-29	$y = - {(x - 9)}^{2} - 29$
118033	Find the Vertex	y=-3x^2-18x-20	$y = - 3 x^{2} - 18 x - 20$
118034	Find the Vertex	y=-x^2+16x-56	$y = - x^{2} + 16 x - 56$
118035	Identify the Zeros and Their Multiplicities	x^3-36x^2+324x	$x^{3} - 36 x^{2} + 324 x$
118036	Find the Maximum/Minimum Value	y=-2(x-4)^2-6	$y = - 2 {(x - 4)}^{2} - 6$
118037	Write as a Function of x	2x^2-5y=3	$2 x^{2} - 5 y = 3$
118038	Find the Degree, Leading Term, and Leading Coefficient	1/4n^3-3/8n^5	$\frac{1}{4} n^{3} - \frac{3}{8} n^{5}$
118039	Find the Slope of a Parallel Line	m=8	$m = 8$
118040	Find the Roots (Zeros)	x^4-x^3+4x^2-16x-192=0	$x^{4} - x^{3} + 4 x^{2} - 16 x - 192 = 0$
118041	Find the Roots (Zeros)	x^3-6x^2-16x+96=0	$x^{3} - 6 x^{2} - 16 x + 96 = 0$
118042	Find the Roots (Zeros)	y=x^2-9x-22	$y = x^{2} - 9 x - 22$
118043	Find the Roots (Zeros)	y=-4(x-3)^2+8	$y = - 4 {(x - 3)}^{2} + 8$
118044	Find the Roots (Zeros)	2x^4-11x^3+26x^2-66x+84=0	$2 x^{4} - 11 x^{3} + 26 x^{2} - 66 x + 84 = 0$
118045	Find the Roots (Zeros)	4x^4-18x^3+42x^2-108x+108=0	$4 x^{4} - 18 x^{3} + 42 x^{2} - 108 x + 108 = 0$
118046	Find the Roots (Zeros)	(x+1)^2-36=0	${(x + 1)}^{2} - 36 = 0$
118047	Find the Roots (Zeros)	y=-4(x-3)^2+8	$y = - 4 {(x - 3)}^{2} + 8$
118048	Find the Remainder	(-6x^3+3x^2-4)/(2x-3)	$\frac{(- 6 x^{3} + 3 x^{2} - 4)}{(2 x - 3)}$
118049	Find the Remainder	(4x^3+3x^2+2x-10)/(x-1)	$\frac{4 x^{3} + 3 x^{2} + 2 x - 10}{x - 1}$
118050	Find the Roots (Zeros)	2x^3+6x^2=36x	$2 x^{3} + 6 x^{2} = 36 x$
118051	Find the Roots (Zeros)	12x^3+28x^2-23x+3=0	$12 x^{3} + 28 x^{2} - 23 x + 3 = 0$
118052	Convert from Radians to Degrees	arctan(-1)	$\arctan (- 1)$
118053	Find Amplitude, Period, and Phase Shift	y=2cos(6x+pi/2)	$y = 2 \cos (6 x + \frac{π}{2})$
118054	Find Amplitude, Period, and Phase Shift	y=6sin(2x-pi)	$y = 6 \sin (2 x - π)$
118055	Find the Domain and Range	(x^2+8x-9)/(x^2+3x-4)	$\frac{x^{2} + 8 x - 9}{x^{2} + 3 x - 4}$
118056	Find the Slope of a Perpendicular Line	m=8	$m = 8$
118057	Find the Distance Between Two Points	(4 square root of 2, square root of 5) , (- square root of 2,5 square root of 5)	$(4 \sqrt{2}, \sqrt{5}) (- \sqrt{2}, 5 \sqrt{5})$
118058	Find the Equation Using Slope-Intercept Form	m=6 , b=1	$m = 6$ , $b = 1$
118059	Convert to Scientific Notation	(4.6510^-1)/(510^5)	$\frac{4.65 \cdot 10^{- 1}}{5 \cdot 10^{5}}$
118060	Convert to Scientific Notation	(5.210^13)/(1.310^7)	$\frac{5.2 \cdot 10^{13}}{1.3 \cdot 10^{7}}$
118061	Convert to Scientific Notation	92 , 170 , 0	$92$ , $170$ , $0$
118062	Convert to Scientific Notation	0.0673	$0.0673$
118063	Convert to Scientific Notation	0.015	$0.015$
118064	Convert to Scientific Notation	0.022	$0.022$
118065	Convert to Scientific Notation	0.000055	$0.000055$
118066	Convert to Scientific Notation	0.00000448	$0.00000448$
118067	Convert to Scientific Notation	(1.310^-2)(0.05)	$(1.3 \cdot 10^{- 2}) \cdot (0.05)$
118068	Convert to Scientific Notation	0.0032	$0.0032$
118069	Convert to Logarithmic Form	e^(-x)=8	$e^{- x} = 8$
118070	Convert to Logarithmic Form	4=64^(1/3)	$4 = 64^{\frac{1}{3}}$
118071	Find the Difference Quotient	f(x)=-7x+6	$f (x) = - 7 x + 6$
118072	Find the Difference Quotient	f(x)=x^2-5x+9	$f (x) = x^{2} - 5 x + 9$
118073	Find the Vertex Form	y=-3x^2+18x-21	$y = - 3 x^{2} + 18 x - 21$
118074	Convert to Logarithmic Form	K=G^d	$K = G^{d}$
118075	Find the Domain and Range	y=(2x-9)/(x-4)	$y = \frac{2 x - 9}{x - 4}$
118076	Find the Domain and Range	6x+8y=-10	$6 x + 8 y = - 10$
118077	Find the Domain and Range	y = square root of x-3+1	$y = \sqrt{x - 3} + 1$
118078	Find the Domain and Range	y=-7cot(x)	$y = - 7 \cot (x)$
118079	Find the Domain and Range	y=-2+ cube root of x	$y = - 2 + \sqrt[3]{x}$
118080	Find the Domain and Range	y=sin(-2x)	$y = \sin (- 2 x)$
118081	Find the Domain and Range	y=-2(1/4)^x	$y = - 2 {(\frac{1}{4})}^{x}$
118082	Find the Domain and Range	y=-1.5(x+20)^2	$y = - 1.5 {(x + 20)}^{2}$
118083	Find the Vertex	2x^2+10x+9	$2 x^{2} + 10 x + 9$
118084	Convert to Regular Notation	7.3*10^6	$7.3 \cdot 10^{6}$
118085	Convert to Regular Notation	3.6*10^6	$3.6 \cdot 10^{6}$
118086	Convert to Regular Notation	2.50*10^-8	$2.5 \cdot 10^{- 8}$
118087	Convert to Regular Notation	4.3602*10^4	$4.3602 \cdot 10^{4}$
118088	Write in Standard Form	(9-13i)/(1-2i)	$\frac{9 - 13 i}{1 - 2 i}$
118089	Write in Standard Form	x^2+7-7x	$x^{2} + 7 - 7 x$
118090	Solve by Factoring	15x^2-16+8x=0	$15 x^{2} - 16 + 8 x = 0$
118091	Solve by Factoring	-4x^2-8x-3=-3-5x^2	$- 4 x^{2} - 8 x - 3 = - 3 - 5 x^{2}$
118092	Solve by Factoring	x^4-x^2=x^2+8	$x^{4} - x^{2} = x^{2} + 8$
118093	Solve by Factoring	x(4x+22)=12	$x (4 x + 22) = 12$
118094	Solve by Factoring	5x^2-20x+20=0	$5 x^{2} - 20 x + 20 = 0$
118095	Solve by Factoring	45y+7y^2=28	$45 y + 7 y^{2} = 28$
118096	Solve by Factoring	20x^2=4x	$20 x^{2} = 4 x$
118097	Solve by Factoring	3x^2=21x	$3 x^{2} = 21 x$
118098	Solve by Factoring	7x^4=3584x	$7 x^{4} = 3584 x$
118099	Solve by Factoring	x^4-5x^2=3x^2+48	$x^{4} - 5 x^{2} = 3 x^{2} + 48$
118100	Solve by Factoring	x^3+4x^2-36x-144=0	$x^{3} + 4 x^{2} - 36 x - 144 = 0$