Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118801	Find the Discriminant	2y^2+8y+8=0	$2 y^{2} + 8 y + 8 = 0$
118802	Find the Symmetry	2x+y^2=-4	$2 x + y^{2} = - 4$
118803	Evaluate Using the Given Value	9e+4=-5e+14+13e	$9 e + 4 = - 5 e + 14 + 13 e$
118804	Find the Perfect Square Trinomial	x^2+cx+144	$x^{2} + c x + 144$
118805	Convert to Logarithmic Form	10^23=0.001	$10^{23} = 0.001$
118806	Convert to Logarithmic Form	17=3^x	$17 = 3^{x}$
118807	Convert to Logarithmic Form	e^y=x	$e^{y} = x$
118808	Convert to Logarithmic Form	1000^2=1000000	$1000^{2} = 1000000$
118809	Convert to Logarithmic Form	N=S^a	$N = S^{a}$
118810	Convert to Logarithmic Form	(1/2)^4=1/16	${(\frac{1}{2})}^{4} = \frac{1}{16}$
118811	Convert to Logarithmic Form	e^-6=0.0025	$e^{- 6} = 0.0025$
118812	Find the Difference Quotient	f(x)=-9x+6	$f (x) = - 9 x + 6$
118813	Find the Vertex Form	y=x^2+18x+32	$y = x^{2} + 18 x + 32$
118814	Find the Maximum/Minimum Value	y=1/2x^2+2x+8	$y = \frac{1}{2} x^{2} + 2 x + 8$
118815	Find the Remainder	(x^3-x^2+3x-4)/(x-1)	$\frac{x^{3} - x^{2} + 3 x - 4}{x - 1}$
118816	Determine if Rational	2+ square root of 21	$2 + \sqrt{21}$
118817	Divide Using Long Polynomial Division	(x^2-2x-48)÷(x+5)	$(x^{2} - 2 x - 48) \div (x + 5)$
118818	Divide Using Long Polynomial Division	(n^3+7n^2+14n+3)÷(n+2)	$(n^{3} + 7 n^{2} + 14 n + 3) \div (n + 2)$
118819	Divide Using Long Polynomial Division	(4x^3+3x^2-30x-10)÷(x-3)	$(4 x^{3} + 3 x^{2} - 30 x - 10) \div (x - 3)$
118820	Divide Using Long Polynomial Division	(m^2-3m-7)÷(m+2)	$(m^{2} - 3 m - 7) \div (m + 2)$
118821	Divide Using Long Polynomial Division	(3x^2+2x-20)÷(x^2-8x+12)	$(3 x^{2} + 2 x - 20) \div (x^{2} - 8 x + 12)$
118822	Divide Using Long Polynomial Division	(y^3+3y^2+4)/(y-2)	$\frac{y^{3} + 3 y^{2} + 4}{y - 2}$
118823	Find the Degree	12x^4-8x+4x^2-3	$12 x^{4} - 8 x + 4 x^{2} - 3$
118824	Find the Degree	7y^5	$7 y^{5}$
118825	Find the GCF	14z^5-42z^4+21z^3	$14 z^{5} - 42 z^{4} + 21 z^{3}$
118826	Find the GCF	7x^2+21	$7 x^{2} + 21$
118827	Find the GCF	12a-27	$12 a - 27$
118828	Find the GCF	3y^2-21y+36	$3 y^{2} - 21 y + 36$
118829	Find Where Undefined/Discontinuous	(x^2-10x+24)/(x^2-16)*(x^2+7x+12)/(x^2-3x-18)	$\frac{x^{2} - 10 x + 24}{x^{2} - 16} \cdot \frac{x^{2} + 7 x + 12}{x^{2} - 3 x - 18}$
118830	Find Where Undefined/Discontinuous	(x^2+10x+21)/(x^2-10x+16)	$\frac{x^{2} + 10 x + 21}{x^{2} - 10 x + 16}$
118831	Find Where Undefined/Discontinuous	(x^2-12x+35)/(x^2-25)*(x^2+7x+10)/(x^2-5x-14)	$\frac{x^{2} - 12 x + 35}{x^{2} - 25} \cdot \frac{x^{2} + 7 x + 10}{x^{2} - 5 x - 14}$
118832	Find Where Undefined/Discontinuous	(y^2+10y+25)/(y^2-3y-40)	$\frac{y^{2} + 10 y + 25}{y^{2} - 3 y - 40}$
118833	Find Where Undefined/Discontinuous	(x^2-8x+15)/(x^2-9)*(x^2+5x+6)/(x^2-3x-10)	$\frac{x^{2} - 8 x + 15}{x^{2} - 9} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 3 x - 10}$
118834	Convert to an Improper Fraction	7 4/5	$7 \frac{4}{5}$
118835	Convert to an Improper Fraction	9 5/7	$9 \frac{5}{7}$
118836	Convert to an Improper Fraction	1 1/9	$1 \frac{1}{9}$
118837	Convert to an Improper Fraction	10 2/3	$10 \frac{2}{3}$
118838	Find the GCF	70y^8+30y^6	$70 y^{8} + 30 y^{6}$
118839	Determine if a Polynomial	x^3y^3	$x^{3} y^{3}$
118840	Solve by Graphing	19x^3-3x=12x^2	$19 x^{3} - 3 x = 12 x^{2}$
118841	Solve by Graphing	-5/2x-1=4x+2	$- \frac{5}{2} x - 1 = 4 x + 2$
118842	Find the Vertex	-2x^2-8x-6	$- 2 x^{2} - 8 x - 6$
118843	Convert from Radians to Degrees	-(13pi)/12	$- \frac{13 π}{12}$
118844	Convert from Radians to Degrees	arctan(4/5)	$\arctan (\frac{4}{5})$
118845	Convert from Radians to Degrees	arccot(-1)	$\cot^{-1} (- 1)$
118846	Convert from Radians to Degrees	(8pi)/7	$\frac{8 π}{7}$
118847	Find the Vertex	y=-2x^2+12x-5	$y = - 2 x^{2} + 12 x - 5$
118848	Find the Vertex	y=2x^2+20x+46	$y = 2 x^{2} + 20 x + 46$
118849	Find the Vertex	y=-2(x+1)^2+4	$y = - 2 {(x + 1)}^{2} + 4$
118850	Find the Vertex	y=2x^2-4x+18	$y = 2 x^{2} - 4 x + 18$
118851	Find the Vertex	y=-3x^2-24x-42	$y = - 3 x^{2} - 24 x - 42$
118852	Find the Vertex	y=4(x+7)^2-2	$y = 4 {(x + 7)}^{2} - 2$
118853	Find the Vertex	y=x^2+18x-307	$y = x^{2} + 18 x - 307$
118854	Identify the Zeros and Their Multiplicities	f(x)=x(x-1)(x-2)^4	$f (x) = x (x - 1) {(x - 2)}^{4}$
118855	Identify the Zeros and Their Multiplicities	f(x)=(x-3)(2x-8)	$f (x) = (x - 3) (2 x - 8)$
118856	Find the Vertex	y=5x^2-20x-8	$y = 5 x^{2} - 20 x - 8$
118857	Convert to Scientific Notation	86000	$86000$
118858	Convert to Scientific Notation	48000	$48000$
118859	Convert to Scientific Notation	0.0049	$0.0049$
118860	Convert to Scientific Notation	65000	$65000$
118861	Convert to Scientific Notation	0.00000123	$0.00000123$
118862	Convert to Scientific Notation	3940	$3940$
118863	Convert to Scientific Notation	0.00000381	$0.00000381$
118864	Solve by Addition/Elimination	x/3+(4y)/3=300 3x-4y=300	$\frac{x}{3} + \frac{4 y}{3} = 300$ $3 x - 4 y = 300$
118865	Solve by Addition/Elimination	x+2y=4 , 2x+4y=8	$x + 2 y = 4$ , $2 x + 4 y = 8$
118866	Solve by Addition/Elimination	5x+y=9 10x-7y=-18	$5 x + y = 9$ $10 x - 7 y = - 18$
118867	Expand Using Pascal's Triangle	(4a-1)^3	${(4 a - 1)}^{3}$
118868	Find dx/dy	x^(4/3)+y^(4/3)=1	$x^{\frac{4}{3}} + y^{\frac{4}{3}} = 1$
118869	Reduce the Fraction	8/60	$\frac{8}{60}$
118870	Find the Standard Form of the Parabola	f(x)=-x^2-7x-6	$f (x) = - x^{2} - 7 x - 6$
118871	Solve for x	9<x+7<16	$9 < x + 7 < 16$
118872	Find the Next Term	2 , 1 , -2 , -7 , -14	$2$ , $1$ , $- 2$ , $- 7$ , $- 14$
118873	Find the Domain	y=(x^2-2x-3)/(x-2)	$y = \frac{x^{2} - 2 x - 3}{x - 2}$
118874	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4+2x^3-x+15	$f (x) = 3 x^{4} + 2 x^{3} - x + 15$
118875	Rationalize the Denominator	(5 square root of 2+ square root of 10)/(10 square root of 2- square root of 10)	$\frac{5 \sqrt{2} + \sqrt{10}}{10 \sqrt{2} - \sqrt{10}}$
118876	Write with Rational (Fractional) Exponents	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
118877	Write with Rational (Fractional) Exponents	ninth root of x^5	$\sqrt[9]{x^{5}}$
118878	Find the Focus	x=1/10y^2	$x = \frac{1}{10} y^{2}$
118879	Find the Domain and Range	y=10/(12-x)	$y = \frac{10}{12 - x}$
118880	Find the Domain and Range	y=3/2x^2+4x-9	$y = \frac{3}{2} x^{2} + 4 x - 9$
118881	Find the Domain and Range	-4x+2y=-7	$- 4 x + 2 y = - 7$
118882	Find the Domain and Range	y=-6sec(x)	$y = - 6 \sec (x)$
118883	Find the Domain and Range	y=7sec(x)	$y = 7 \sec (x)$
118884	Find the Domain and Range	y=arccsc(x)	$y = arccsc (x)$
118885	Find the Domain and Range	y=3+ natural log of -x	$y = 3 + \ln (- x)$
118886	Find the Domain and Range	y=sin(-3x)	$y = \sin (- 3 x)$
118887	Find the Inverse	y=4x^2+5	$y = 4 x^{2} + 5$
118888	Find the Inverse	y = log base 1/3 of x	$y = \log_{\frac{1}{3}} (x)$
118889	Identify the Sequence	9 , 16 , 25 , 36	$9$ , $16$ , $25$ , $36$
118890	Identify the Sequence	4 , 2 , -2 , -8 , -16	$4$ , $2$ , $- 2$ , $- 8$ , $- 16$
118891	Identify the Sequence	6 , 30 , 150 , 750	$6$ , $30$ , $150$ , $750$
118892	Find the Slope	y=-5/6x+8	$y = - \frac{5}{6} x + 8$
118893	Find the Slope	6y=-4x	$6 y = - 4 x$
118894	Find the Slope	5y=3x+4	$5 y = 3 x + 4$
118895	Find the Slope	8x-7y=13	$8 x - 7 y = 13$
118896	Find the Slope	5y=-7x	$5 y = - 7 x$
118897	Find the Slope	(3,8) , (-2,5)	$(3, 8) (- 2, 5)$
118898	Find the Slope	m=-2/3	$m = - \frac{2}{3}$
118899	Find the Slope	y-20=5(x-2)	$y - 20 = 5 (x - 2)$
118900	Solve Using the Square Root Property	2(x+4)^2=40	$2 {(x + 4)}^{2} = 40$