Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
117001	Find the Inverse	y = log base 0.7 of x	$y = \log_{0.7} (x)$
117002	Find the Inverse	y = square root of x+8	$y = \sqrt{x} + 8$
117003	Find the GCF	15x^3y^2 , 20x^4y^4	$15 x^{3} y^{2}$ , $20 x^{4} y^{4}$
117004	Simplify/Condense	log of 500+ log of 2	$\log (500) + \log (2)$
117005	Simplify/Condense	4 natural log of x-6 natural log of y	$4 \ln (x) - 6 \ln (y)$
117006	Write the Fraction in Simplest Form	(7/6)÷2	$\frac{7}{6} \div 2$
117007	Write the Fraction in Simplest Form	( square root of 2- square root of 10)/( square root of 2+ square root of 10)	$\frac{\sqrt{2} - \sqrt{10}}{\sqrt{2} + \sqrt{10}}$
117008	Write the Fraction in Simplest Form	(7/6)÷8	$\frac{7}{6} \div 8$
117009	Convert to a Mixed Number	3.1	$3.1$
117010	Divide Using Synthetic Division	(2x^2-6x-3x^3+x^4)÷(3+x)	$(2 x^{2} - 6 x - 3 x^{3} + x^{4}) \div (3 + x)$
117011	Divide Using Synthetic Division	(x^4-12x^2-12)÷(x+3)	$(x^{4} - 12 x^{2} - 12) \div (x + 3)$
117012	Divide Using Synthetic Division	(1/3x^3-2/9x^2+2/27x-1/81)/(x-1/3)	$\frac{\frac{1}{3} x^{3} - \frac{2}{9} x^{2} + \frac{2}{27} x - \frac{1}{81}}{x - \frac{1}{3}}$
117013	Find the Maximum/Minimum Value	f(x)=3x^2-18x-3	$f (x) = 3 x^{2} - 18 x - 3$
117014	Find the Maximum/Minimum Value	h(t)=-16t^2+96t+6	$h (t) = - 16 t^{2} + 96 t + 6$
117015	Find the Maximum/Minimum Value	h(t)=-16t^2+64t+5	$h (t) = - 16 t^{2} + 64 t + 5$
117016	Find the Maximum/Minimum Value	f(x)=3x^2-18x-6	$f (x) = 3 x^{2} - 18 x - 6$
117017	Find the Maximum/Minimum Value	h(x)=-3(x-3)^2+108	$h (x) = - 3 {(x - 3)}^{2} + 108$
117018	Find the Maximum/Minimum Value	f(x)=-x^2+6x-1	$f (x) = - x^{2} + 6 x - 1$
117019	Find Amplitude, Period, and Phase Shift	f(t)=4cot(3t-(3pi)/4)+2	$f (t) = 4 \cot (3 t - \frac{3 π}{4}) + 2$
117020	Find the Vertex	h(x)=-x^2+4x-3	$h (x) = - x^{2} + 4 x - 3$
117021	Find the Vertex	f(x)=-x^2+8x-20	$f (x) = - x^{2} + 8 x - 20$
117022	Find the Domain and Range	y = eighth root of x	$y = \sqrt[8]{x}$
117023	Find the Domain and Range	5y-2x=0	$5 y - 2 x = 0$
117024	Find the Domain	y=1/(3- square root of 25-x^2)	$y = \frac{1}{3 - \sqrt{25 - x^{2}}}$
117025	Find the Determinant	[[a,b],[c,d]]	$[\begin{array}{c} a & b \\ c & d \end{array}]$
117026	Find the Vertex Form	f(x)=2x^2+28x-5	$f (x) = 2 x^{2} + 28 x - 5$
117027	Convert to Scientific Notation	110 , 0	$110$ , $0$
117028	Convert to Scientific Notation	200000	$200000$
117029	Convert to Scientific Notation	5050	$5050$
117030	Convert to Scientific Notation	91910000	$91910000$
117031	Convert to Scientific Notation	(510^-7)(3*10^6)	$(5 \cdot 10^{- 7}) \cdot (3 \cdot 10^{6})$
117032	Complete the Square	m^2-18m	$m^{2} - 18 m$
117033	Find the Discriminant	9n^2-3n-8=-10	$9 n^{2} - 3 n - 8 = - 10$
117034	Find the Roots (Zeros)	x^4-2x^3+x^2-8x-12=0	$x^{4} - 2 x^{3} + x^{2} - 8 x - 12 = 0$
117035	Find the Roots (Zeros)	4x^4-14x^3+36x^2-84x+72=0	$4 x^{4} - 14 x^{3} + 36 x^{2} - 84 x + 72 = 0$
117036	Find the Roots (Zeros)	7x^2=28x	$7 x^{2} = 28 x$
117037	Find the GCF	9m^3+30m-24	$9 m^{3} + 30 m - 24$
117038	Find the GCF	20x^4-10x^3+15x^2	$20 x^{4} - 10 x^{3} + 15 x^{2}$
117039	Find the GCF	6z^4-30z^3+10z^2	$6 z^{4} - 30 z^{3} + 10 z^{2}$
117040	Find the 7th Term	5 , 3 , -1 , -7 , -15	$5$ , $3$ , $- 1$ , $- 7$ , $- 15$
117041	Convert to an Improper Fraction	6 5/8	$6 \frac{5}{8}$
117042	Convert to an Improper Fraction	4 3/7	$4 \frac{3}{7}$
117043	Find the Roots (Zeros)	x^3-10x^2+36x-40	$x^{3} - 10 x^{2} + 36 x - 40$
117044	Find the Roots (Zeros)	x^3+7x^2-18x	$x^{3} + 7 x^{2} - 18 x$
117045	Find the Roots (Zeros)	-x^3+2x^2+5x-6	$- x^{3} + 2 x^{2} + 5 x - 6$
117046	Find the Roots (Zeros)	x^3+4x^2+3x-2	$x^{3} + 4 x^{2} + 3 x - 2$
117047	Find the Roots (Zeros)	x^4-4x^3+3x^2+4x-4	$x^{4} - 4 x^{3} + 3 x^{2} + 4 x - 4$
117048	Find the Roots (Zeros)	2x^4-7x^3+3x^2+8x-4	$2 x^{4} - 7 x^{3} + 3 x^{2} + 8 x - 4$
117049	Find the Roots (Zeros)	9x^3+9x^2-x-1	$9 x^{3} + 9 x^{2} - x - 1$
117050	Find the Perfect Square Trinomial	v^2-6v+	$v^{2} - 6 v +$
117051	Find the Equation of the Circle	(0,0) R=5	$(0, 0)$ $R = 5$
117052	Find the Axis of Symmetry	y=-x^2-10x-9	$y = - x^{2} - 10 x - 9$
117053	Convert from Radians to Degrees	arcsin(2/3)	$\arcsin (\frac{2}{3})$
117054	Arrange in Order	-1/6 , 5/3 , -5/6	$- \frac{1}{6}$ , $\frac{5}{3}$ , $- \frac{5}{6}$
117055	Find the Domain and Range	10^(-x)	$10^{- x}$
117056	Find the Slope	15+3x=2y	$15 + 3 x = 2 y$
117057	Find the Slope	(-2,-6) , (2,2)	$(- 2, - 6) (2, 2)$
117058	Find the Slope	-2y=13	$- 2 y = 13$
117059	Identify the Sequence	128 , 96 , 72 , 54	$128$ , $96$ , $72$ , $54$
117060	Find the Slope	7x-8y=0	$7 x - 8 y = 0$
117061	Solve Using the Square Root Property	(5x-8)^2=49	${(5 x - 8)}^{2} = 49$
117062	Solve Using the Square Root Property	2(x+1)^2=24	$2 {(x + 1)}^{2} = 24$
117063	Solve Using the Square Root Property	(x+7)^2=-81	${(x + 7)}^{2} = - 81$
117064	Solve Using the Square Root Property	(2y+7)^2=49	${(2 y + 7)}^{2} = 49$
117065	Write in Standard Form	y=7/2x+9/2	$y = \frac{7}{2} x + \frac{9}{2}$
117066	Write in Standard Form	r = square root of 3	$r = \sqrt{3}$
117067	Find the Domain and Range	f(x)=2x^2-20x-4	$f (x) = 2 x^{2} - 20 x - 4$
117068	Find the Domain and Range	f(x) = log base 5 of x-2-1	$f (x) = \log_{5} (x - 2) - 1$
117069	Find the Domain and Range	f(x)=4x^2-40x+107	$f (x) = 4 x^{2} - 40 x + 107$
117070	Find the Domain and Range	f(x)=(x+11)^3	$f (x) = {(x + 11)}^{3}$
117071	Find the Domain and Range	f(x)=2x^2-12x-1	$f (x) = 2 x^{2} - 12 x - 1$
117072	Find the Domain and Range	f(x) = square root of 49-x^2	$f (x) = \sqrt{49 - x^{2}}$
117073	Write in y=mx+b Form	4x-2y-2=0	$4 x - 2 y - 2 = 0$
117074	Write in y=mx+b Form	3x+y+1=0	$3 x + y + 1 = 0$
117075	Write in y=mx+b Form	9x-3y-6=0	$9 x - 3 y - 6 = 0$
117076	Write in y=mx+b Form	(x-y)/5=(x+y)/4-1	$\frac{x - y}{5} = \frac{x + y}{4} - 1$
117077	Write with Rational (Fractional) Exponents	cube root of (5xy)^6	$\sqrt[3]{{(5 x y)}^{6}}$
117078	Write with Rational (Fractional) Exponents	cube root of 10^9	$\sqrt[3]{10^{9}}$
117079	Solve by Substitution	9e+4=-5e+14+13e	$9 e + 4 = - 5 e + 14 + 13 e$
117080	Solve by Substitution	y=5x-7 -3x-2y=-12	$y = 5 x - 7$ $- 3 x - 2 y = - 12$
117081	Factor by Grouping	12x^3-9x^2+4x-3	$12 x^{3} - 9 x^{2} + 4 x - 3$
117082	Factor by Grouping	12x^4-10x^3+24x^2-20x	$12 x^{4} - 10 x^{3} + 24 x^{2} - 20 x$
117083	Find All Complex Solutions	x^2+4x-3.5=0	$x^{2} + 4 x - 3.5 = 0$
117084	Reduce the Fraction	14/50	$\frac{14}{50}$
117085	Reduce the Fraction	21/29	$\frac{21}{29}$
117086	Reduce the Fraction	9/32	$\frac{9}{32}$
117087	Reduce the Fraction	49/81	$\frac{49}{81}$
117088	Reduce the Fraction	8/22	$\frac{8}{22}$
117089	Reduce the Fraction	20/360	$\frac{20}{360}$
117090	Find the Distance Between Two Points	(0,-2) , (5,3)	$(0, - 2) (5, 3)$
117091	Determine if Rational	10pi	$10 π$
117092	Convert to a Percentage	1.03	$1.03$
117093	Convert to a Percentage	50/21	$\frac{50}{21}$
117094	Convert from Interval to Inequality	(negative infinity,-1)	$(- \infty, - 1)$
117095	Solve by Completing the Square	5z^2+14z-3=0	$5 z^{2} + 14 z - 3 = 0$
117096	Solve by Completing the Square	4x^2+x-1/16=0	$4 x^{2} + x - \frac{1}{16} = 0$
117097	Solve by Completing the Square	2x^2+x-1/8=0	$2 x^{2} + x - \frac{1}{8} = 0$
117098	Solve by Completing the Square	x^2-8x-10=18	$x^{2} - 8 x - 10 = 18$
117099	Solve by Factoring	2x^2+15x+7=0	$2 x^{2} + 15 x + 7 = 0$
117100	Solve by Factoring	4x^4=864x	$4 x^{4} = 864 x$