Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
116901	Find the Maximum/Minimum Value	f(x)=3x^2-18x-7	$f (x) = 3 x^{2} - 18 x - 7$
116902	Find the Vertex	g(x)=8x^2-64x	$g (x) = 8 x^{2} - 64 x$
116903	Divide Using Synthetic Division	(x^5-10x^2-8)÷(x-2)	$(x^{5} - 10 x^{2} - 8) \div (x - 2)$
116904	Divide Using Synthetic Division	(2x^3-5x+40)÷(x+3)	$(2 x^{3} - 5 x + 40) \div (x + 3)$
116905	Find the Inverse	6x-7	$6 x - 7$
116906	Write as a Function of x	x=5y^2-1	$x = 5 y^{2} - 1$
116907	Write as a Function of x	x=2y^2-1	$x = 2 y^{2} - 1$
116908	Write as a Function of y	x=5y^2-1	$x = 5 y^{2} - 1$
116909	Write the Fraction in Simplest Form	11/(9- square root of 6)	$\frac{11}{9 - \sqrt{6}}$
116910	Find the Vertex	2x^2+36x+170	$2 x^{2} + 36 x + 170$
116911	Determine if Rational	15pi	$15 π$
116912	Determine if Rational	9.0	$9$
116913	Determine if Rational	8pi	$8 π$
116914	Convert to Scientific Notation	0.00037	$0.00037$
116915	Convert to Scientific Notation	29000	$29000$
116916	Convert to Scientific Notation	0.00051	$0.00051$
116917	Convert to an Improper Fraction	2 1/7	$2 \frac{1}{7}$
116918	Convert to an Improper Fraction	3 8/9	$3 \frac{8}{9}$
116919	Find the Third Term	b(n)=1(-2)^(n-1)	$b (n) = 1 {(- 2)}^{n - 1}$
116920	Find Where Undefined/Discontinuous	((x^2-3x-40)/(x^2+8x-20))÷((x^2+13x+40)/(x^2+12x+20))	$\frac{x^{2} - 3 x - 40}{x^{2} + 8 x - 20} \div \frac{x^{2} + 13 x + 40}{x^{2} + 12 x + 20}$
116921	Find the GCF	50x-80y	$50 x - 80 y$
116922	Find the Roots (Zeros)	x^4+x^3+47x^2+49x-98	$x^{4} + x^{3} + 47 x^{2} + 49 x - 98$
116923	Find the Roots (Zeros)	(x^3-4x^2-47x+210)/(x-5)	$\frac{(x^{3} - 4 x^{2} - 47 x + 210)}{(x - 5)}$
116924	Find the Roots (Zeros)	x^3+7x^2-36	$x^{3} + 7 x^{2} - 36$
116925	Find the Roots (Zeros)	3x^4-8x^3-13x-24	$3 x^{4} - 8 x^{3} - 13 x - 24$
116926	Find the Roots (Zeros)	2x^4-7x^3+14x^2-28x+24=0	$2 x^{4} - 7 x^{3} + 14 x^{2} - 28 x + 24 = 0$
116927	Find the Roots (Zeros)	x^3-x^2-37x-35=0	$x^{3} - x^{2} - 37 x - 35 = 0$
116928	Find the Roots (Zeros)	y=x^4+6x^3+9x^2+24x+20	$y = x^{4} + 6 x^{3} + 9 x^{2} + 24 x + 20$
116929	Convert from Radians to Degrees	arcsin(4/5)	$\arcsin (\frac{4}{5})$
116930	Find the x and y Intercepts	(x^2+2x-3)/(x-3)	$\frac{x^{2} + 2 x - 3}{x - 3}$
116931	Find the x and y Intercepts	(x^2-9)/(x^2)	$\frac{x^{2} - 9}{x^{2}}$
116932	Find the x and y Intercepts	(3x)/(x^2-16)	$\frac{3 x}{x^{2} - 16}$
116933	Find the Perfect Square Trinomial	m^2-2/3m	$m^{2} - \frac{2}{3} m$
116934	Find the Perfect Square Trinomial	w^2-14w+	$w^{2} - 14 w +$
116935	Find the Slope	-6y=-10	$- 6 y = - 10$
116936	Find the Domain and Range	9-(x-2)^2	$9 - {(x - 2)}^{2}$
116937	Write in y=mx+b Form	y-8=2(x-4)	$y - 8 = 2 (x - 4)$
116938	Write in y=mx+b Form	6x-6y=-6	$6 x - 6 y = - 6$
116939	Find the Domain and Range	f(x)=-\|x\|-2	$f (x) = - \| x \| - 2$
116940	Find the Domain and Range	f(x)=(x+12)^3	$f (x) = {(x + 12)}^{3}$
116941	Find the Domain and Range	g(x)=4/x+3	$g (x) = \frac{4}{x} + 3$
116942	Find the Domain and Range	f(x)=-3x^2+12x-4	$f (x) = - 3 x^{2} + 12 x - 4$
116943	Write in Standard Form	x^2+y^2-6x-8y+24=0	$x^{2} + y^{2} - 6 x - 8 y + 24 = 0$
116944	Write in Standard Form	y=1/6x+5	$y = \frac{1}{6} x + 5$
116945	Rationalize the Denominator	7/( square root of 20x)	$\frac{7}{\sqrt{20 x}}$
116946	Rationalize the Denominator	( square root of 27- square root of 5)/( square root of 15-3)	$\frac{\sqrt{27} - \sqrt{5}}{\sqrt{15} - 3}$
116947	Reduce the Fraction	27/81	$\frac{27}{81}$
116948	Reduce the Fraction	4/30	$\frac{4}{30}$
116949	Reduce the Fraction	14/36	$\frac{14}{36}$
116950	Find All Complex Solutions	-1.5x^2+4x+2.2=0	$- 1.5 x^{2} + 4 x + 2.2 = 0$
116951	Factor by Grouping	12x^3-8x^2+15x-10	$12 x^{3} - 8 x^{2} + 15 x - 10$
116952	Factor by Grouping	30x^4-25x^3+60x^2-50x	$30 x^{4} - 25 x^{3} + 60 x^{2} - 50 x$
116953	Factor by Grouping	-6mp+4m+18p-12	$- 6 m p + 4 m + 18 p - 12$
116954	Factor by Grouping	6x^2-12xy-7x+14y	$6 x^{2} - 12 x y - 7 x + 14 y$
116955	Factor by Grouping	8b^3-4b^2a-18b+9a	$8 b^{3} - 4 b^{2} a - 18 b + 9 a$
116956	Find the Quadrant	(1,-9)	$(1, - 9)$
116957	Determine if True	3(4)-2*8=-4	$3 (4) - 2 \cdot 8 = - 4$
116958	Convert to a Percentage	1 12/25	$1 \frac{12}{25}$
116959	Determine if Rational	7pi	$7 π$
116960	Determine if Rational	-18pi	$- 18 π$
116961	Convert to a Percentage	0.0371	$0.0371$
116962	Convert to Regular Notation	4.32*10^-4	$4.32 \cdot 10^{- 4}$
116963	Write in Standard Form	14y^2-x^2-3xy	$14 y^{2} - x^{2} - 3 x y$
116964	Write in Standard Form	x^2+7-3x	$x^{2} + 7 - 3 x$
116965	Write in Standard Form	1-2s+5s^4	$1 - 2 s + 5 s^{4}$
116966	Convert to a Simplified Fraction	47%	$47 %$
116967	Convert to a Simplified Fraction	9.75%	$9.75 %$
116968	Convert to a Simplified Fraction	1.375	$1.375$
116969	Solve by Factoring	y^3+27=0	$y^{3} + 27 = 0$
116970	Solve by Factoring	3x^2=24x	$3 x^{2} = 24 x$
116971	Solve by Factoring	2t^5+2t^4-144t^3=0	$2 t^{5} + 2 t^{4} - 144 t^{3} = 0$
116972	Find the Vertex Form	y=x^2+8x+8	$y = x^{2} + 8 x + 8$
116973	Find the Axis of Symmetry	f(x)=10x-x^2-16	$f (x) = 10 x - x^{2} - 16$
116974	Find the LCM	4 , 9	$4$ , $9$
116975	Find the Maximum/Minimum Value	y=-5x^2+10x+7	$y = - 5 x^{2} + 10 x + 7$
116976	Find the Expanded Form	(x-8)^2+(y-6)^2=100	${(x - 8)}^{2} + {(y - 6)}^{2} = 100$
116977	Find the Degree	2yx^4y^2	$2 y x^{4} y^{2}$
116978	Find the Degree	xy+3x^2-7+x	$x y + 3 x^{2} - 7 + x$
116979	Find the Slope and y-intercept	12x-3y=3	$12 x - 3 y = 3$
116980	Find the Slope and y-intercept	12x-3y=9	$12 x - 3 y = 9$
116981	Find the Slope and y-intercept	3x-5y=20	$3 x - 5 y = 20$
116982	Find the Slope and y-intercept	4x+9y-36=0	$4 x + 9 y - 36 = 0$
116983	Find the Slope and y-intercept	6x-2y=-4	$6 x - 2 y = - 4$
116984	Find the Slope and y-intercept	8x+2y=4	$8 x + 2 y = 4$
116985	Find the Slope and y-intercept	-x+4y=20	$- x + 4 y = 20$
116986	Describe the Transformation	f(x)=3/2(x^3-2)	$f (x) = \frac{3}{2} (x^{3} - 2)$
116987	Find the Asymptotes	y=(x+3)/(3x^2-2)	$y = \frac{x + 3}{3 x^{2} - 2}$
116988	Identify the Zeros and Their Multiplicities	x^3-40x^2+400x	$x^{3} - 40 x^{2} + 400 x$
116989	Find the Vertex	y=-x^2-3x	$y = - x^{2} - 3 x$
116990	Find Amplitude, Period, and Phase Shift	y=6sin(4x-pi)	$y = 6 \sin (4 x - π)$
116991	Find Amplitude, Period, and Phase Shift	y=5sin(4x-pi)	$y = 5 \sin (4 x - π)$
116992	Determine if Odd, Even, or Neither	h(x)=3x^4-6x^3	$h (x) = 3 x^{4} - 6 x^{3}$
116993	Determine if Odd, Even, or Neither	f(x)=x^2\|x\|+8	$f (x) = x^{2} \| x \| + 8$
116994	Determine if Odd, Even, or Neither	f(x)=x^4-4x^2-1	$f (x) = x^{4} - 4 x^{2} - 1$
116995	Simplify/Condense	log base 2 of c* log base c of 2	$\log_{2} (c) \cdot \log_{c} (2)$
116996	Simplify/Condense	log base 3 of b* log base b of 27	$\log_{3} (b) \cdot \log_{b} (27)$
116997	Simplify/Condense	natural log of x+ natural log of 4	$\ln (x) + \ln (4)$
116998	Simplify/Condense	log base 3 of 54- log base 3 of 2	$\log_{3} (54) - \log_{3} (2)$
116999	Simplify/Condense	6 natural log of x-3 natural log of y	$6 \ln (x) - 3 \ln (y)$
117000	Find the Inverse	y=6+ log of x	$y = 6 + \log (x)$