Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
118601	Find the Vertex	-4x^2-20x+4	$- 4 x^{2} - 20 x + 4$
118602	Find the Vertex	3(x+5)^2-4	$3 {(x + 5)}^{2} - 4$
118603	Solve by Graphing	x^3-3x^2+2=0.1-x	$x^{3} - 3 x^{2} + 2 = 0.1 - x$
118604	Expand Using Sum/Difference Formulas	sin(105 degrees )	$\sin (105 °)$
118605	Determine if a Polynomial	x- square root of 7	$x - \sqrt{7}$
118606	Convert to an Improper Fraction	7 1/6	$7 \frac{1}{6}$
118607	Convert to an Improper Fraction	1 7/9	$1 \frac{7}{9}$
118608	Find the 5th Term	-3 , 15 , -75	$- 3$ , $15$ , $- 75$
118609	Find the 5th Term	-5 , 20 , -80	$- 5$ , $20$ , $- 80$
118610	Find the GCF	6n^3-3n^5	$6 n^{3} - 3 n^{5}$
118611	Find the GCF	-3x-18	$- 3 x - 18$
118612	Find the GCF	14z^4-42z^3+6z^2	$14 z^{4} - 42 z^{3} + 6 z^{2}$
118613	Find Where Undefined/Discontinuous	(x^2-11x+30)/(x^2-25)*(x^2+6x+5)/(x^2-5x-6)	$\frac{x^{2} - 11 x + 30}{x^{2} - 25} \cdot \frac{x^{2} + 6 x + 5}{x^{2} - 5 x - 6}$
118614	Find Where Undefined/Discontinuous	(y-7)/(y^2-49)	$\frac{y - 7}{y^{2} - 49}$
118615	Find Where Undefined/Discontinuous	(9x)/(27x^2-9x)	$\frac{9 x}{27 x^{2} - 9 x}$
118616	Convert to an Improper Fraction	15 1/2	$15 \frac{1}{2}$
118617	Convert to an Improper Fraction	-2 2/3	$- 2 \frac{2}{3}$
118618	Convert to an Improper Fraction	8 2/5	$8 \frac{2}{5}$
118619	Convert to an Improper Fraction	-9 2/3	$- 9 \frac{2}{3}$
118620	Find the GCF	21x-15y	$21 x - 15 y$
118621	Divide Using Long Polynomial Division	(12x^3-11x^2+22x-5)÷(4x-1)	$(12 x^{3} - 11 x^{2} + 22 x - 5) \div (4 x - 1)$
118622	Find the Maximum/Minimum Value	y=-(x-9)^2-29	$y = - {(x - 9)}^{2} - 29$
118623	Find the Maximum/Minimum Value	y=-1.5(x+20)^2	$y = - 1.5 {(x + 20)}^{2}$
118624	Find the Maximum/Minimum Value	y=-16x^2+32x	$y = - 16 x^{2} + 32 x$
118625	Convert to Scientific Notation	(810^6)/(510^4)	$\frac{8 \cdot 10^{6}}{5 \cdot 10^{4}}$
118626	Convert to Scientific Notation	6500	$6500$
118627	Convert to Scientific Notation	5.9710^24+7.3410^22	$5.97 \cdot 10^{24} + 7.34 \cdot 10^{22}$
118628	Convert to Scientific Notation	101000	$101000$
118629	Convert to Scientific Notation	0.0000017	$0.0000017$
118630	Find dy/dx	xy-6000=y	$x y - 6000 = y$
118631	Find dx/dy	x^3+y^3=12xy-8	$x^{3} + y^{3} = 12 x y - 8$
118632	Find dx/dy	xy-6000=y	$x y - 6000 = y$
118633	Find the Maximum/Minimum Value	-(x^2)/3+2x+8	$- \frac{x^{2}}{3} + 2 x + 8$
118634	Find the Maximum/Minimum Value	-2x^2+12x-6	$- 2 x^{2} + 12 x - 6$
118635	Identify the Zeros and Their Multiplicities	x^4-19x^2+48	$x^{4} - 19 x^{2} + 48$
118636	Find the Vertex	y=x^2+10x+22	$y = x^{2} + 10 x + 22$
118637	Find the Vertex	y=1/3(x-9)^2+5	$y = \frac{1}{3} {(x - 9)}^{2} + 5$
118638	Find the Vertex	y=20x-2x^2	$y = 20 x - 2 x^{2}$
118639	Find the Vertex	y=2x^2-12x+9	$y = 2 x^{2} - 12 x + 9$
118640	Find the Vertex	y=3x^2+6x+10	$y = 3 x^{2} + 6 x + 10$
118641	Find the Vertex	y=32x-4x^2	$y = 32 x - 4 x^{2}$
118642	Find the Vertex	y=x^2-8x-229	$y = x^{2} - 8 x - 229$
118643	Find the Vertex	y=18x-3x^2	$y = 18 x - 3 x^{2}$
118644	Find Amplitude, Period, and Phase Shift	y=3tan(x-pi/4)	$y = 3 \tan (x - \frac{π}{4})$
118645	Find Amplitude, Period, and Phase Shift	y=1+3sin(2x-pi/2)	$y = 1 + 3 \sin (2 x - \frac{π}{2})$
118646	Convert to Set Notation	\|4x+22\|-3<7	$\| 4 x + 22 \| - 3 < 7$
118647	Find the Expanded Form	(x+8)^2+(y+6)^2=100	${(x + 8)}^{2} + {(y + 6)}^{2} = 100$
118648	Find the Expanded Form	(x-6)^2+(y-8)^2=100	${(x - 6)}^{2} + {(y - 8)}^{2} = 100$
118649	Convert to a Mixed Number	41/9	$\frac{41}{9}$
118650	Solve for x	-pi/2<x-pi/4<pi/2	$- \frac{π}{2} < x - \frac{π}{4} < \frac{π}{2}$
118651	Reduce the Fraction	72/90	$\frac{72}{90}$
118652	Reduce the Fraction	36/85	$\frac{36}{85}$
118653	Reduce the Fraction	286/22100	$\frac{286}{22100}$
118654	Convert from Radians to Degrees	(2pi)/13	$\frac{2 π}{13}$
118655	Convert from Radians to Degrees	arctan(5/4)	$\arctan (\frac{5}{4})$
118656	Convert from Radians to Degrees	arctan(1/2)	$\tan^{-1} (\frac{1}{2})$
118657	Convert from Radians to Degrees	(35pi)/12	$\frac{35 π}{12}$
118658	Convert to Logarithmic Form	5^(2x-1)=3	$5^{2 x - 1} = 3$
118659	Convert to Logarithmic Form	square root of x=y	$\sqrt{x} = y$
118660	Convert to Logarithmic Form	4^-1=0.25	$4^{- 1} = 0.25$
118661	Convert to Logarithmic Form	10^p=z	$10^{p} = z$
118662	Convert to Logarithmic Form	n root of a=x	$\sqrt[n]{a} = x$
118663	Find the Vertex Form	y=x^2+18x+95	$y = x^{2} + 18 x + 95$
118664	Find the Vertex Form	y=2x^2-12x+11	$y = 2 x^{2} - 12 x + 11$
118665	Graph the Line Segment	(2,5) , (9,8)	$(2, 5) (9, 8)$
118666	Convert to Logarithmic Form	9^1=9	$9^{1} = 9$
118667	Convert to Logarithmic Form	17^-2=1/289	$17^{- 2} = \frac{1}{289}$
118668	Convert to Logarithmic Form	100000=10^5	$100000 = 10^{5}$
118669	Find the Inverse	y=(x+9)^3	$y = {(x + 9)}^{3}$
118670	Find the Inverse	x=y^2-5y	$x = y^{2} - 5 y$
118671	Find the Inverse	y = natural log of x^5	$y = \ln (x^{5})$
118672	Find the Inverse	y=6x^2+2	$y = 6 x^{2} + 2$
118673	Find the Inverse	y=3^x+4	$y = 3^{x} + 4$
118674	Find the Inverse	y=5x^2+3	$y = 5 x^{2} + 3$
118675	Determine if Linear	9x+12xy=10y	$9 x + 12 x y = 10 y$
118676	Find the Inverse	y=x^2-18x	$y = x^{2} - 18 x$
118677	Find the GCF	36 , 14 , 35	$36$ , $14$ , $35$
118678	Find the Function Rule	table[[x,y],[1,3],[2,9],[3,27]]	$\begin{array}{c} x & y \\ 1 & 3 \\ 2 & 9 \\ 3 & 27 \end{array}$
118679	Find the LCM	6 , 14	$6$ , $14$
118680	Find the LCM	4 5	$4$ $5$
118681	Find the LCM	7r^2t , 6rt^4 , 14r^3t^2	$7 r^{2} t$ , $6 r t^{4}$ , $14 r^{3} t^{2}$
118682	Solve by Factoring	y^2-y-72=0	$y^{2} - y - 72 = 0$
118683	Solve by Factoring	2x^2-8x-90=0	$2 x^{2} - 8 x - 90 = 0$
118684	Solve by Factoring	x^2+5x-33=4x+9	$x^{2} + 5 x - 33 = 4 x + 9$
118685	Solve by Factoring	8y+3y^2=35	$8 y + 3 y^{2} = 35$
118686	Solve by Factoring	1/36x^2-25=0	$\frac{1}{36} x^{2} - 25 = 0$
118687	Solve by Factoring	x^2-7=6x	$x^{2} - 7 = 6 x$
118688	Solve by Factoring	13-13x=(4x+3)(x-1)	$13 - 13 x = (4 x + 3) (x - 1)$
118689	Write in Standard Form	(-5n^4+8)+(5n^4+8n^3+3n^2)	$(- 5 n^{4} + 8) + (5 n^{4} + 8 n^{3} + 3 n^{2})$
118690	Write in Standard Form	x^2+5-7x	$x^{2} + 5 - 7 x$
118691	Write in Standard Form	(1/3+( square root of 7)/6i)^2	${(\frac{1}{3} + \frac{\sqrt{7}}{6} i)}^{2}$
118692	Write in Standard Form	x^2+9-5x	$x^{2} + 9 - 5 x$
118693	Write in Standard Form	-(12-i square root of 45)/24	$- \frac{12 - i \sqrt{45}}{24}$
118694	Write in Standard Form	(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)	$(2 x^{4} + x^{3} - 4 x^{2} + 3) + (4 x^{4} - 2 x^{3} - x^{2} + 10 x + 2)$
118695	Write in Standard Form	(9-17i)/(1-3i)	$\frac{9 - 17 i}{1 - 3 i}$
118696	Solve by Factoring	3y^2-10y+7=0	$3 y^{2} - 10 y + 7 = 0$
118697	Write in Standard Form	-2wz(6w^2-4wz+3z^2)	$- 2 w z (6 w^{2} - 4 w z + 3 z^{2})$
118698	Convert to Regular Notation	1.50*10^4	$1.5 \cdot 10^{4}$
118699	Convert to Regular Notation	2.19*10^-4	$2.19 \cdot 10^{- 4}$
118700	Convert to Regular Notation	4.1*10^-5	$4.1 \cdot 10^{- 5}$