Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
127901	Convert to Rectangular	4(cos((2pi)/3)+isin((2pi)/3))	$4 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$
127902	Convert to Rectangular	r=8cos(theta)	$r = 8 \cos (θ)$
127903	Solve Using an Augmented Matrix	9x+y+7z=22x-3y-z=3x-4y-2z=-4	$9 x + y + 7 z = 22 x - 3 y - z = 3 x - 4 y - 2 z = - 4$
127904	Find @FORMULA	f(x)=x^2	$f (x) = x^{2}$
127905	Find the Remainder	8x^2-6x+6 , 2x+1	$8 x^{2} - 6 x + 6$ , $2 x + 1$
127906	Determine if Linear	y=x^2-4	$y = x^{2} - 4$
127907	Reduce	(x^2-5x+6)/(x^2-9)	$\frac{x^{2} - 5 x + 6}{x^{2} - 9}$
127908	Maximize the Equation given the Constraints	z=x+7y , x>=0 , y>=0 , x+y>=1 , 2x+3y<=18 , 3x+2y<=18	$z = x + 7 y$ , $x \geq 0$ , $y \geq 0$ , $x + y \geq 1$ , $2 x + 3 y \leq 18$ , $3 x + 2 y \leq 18$
127909	Write the Fraction in Simplest Form	(5^-5)/(5^8)	$\frac{5^{- 5}}{5^{8}}$
127910	Write the Fraction in Simplest Form	(5/6)÷4	$\frac{5}{6} \div 4$
127911	Write the Fraction in Simplest Form	16/24	$\frac{16}{24}$
127912	Find the Symmetry	x^3-4x^2-x+4	$x^{3} - 4 x^{2} - x + 4$
127913	Rationalize the Numerator	( square root of 10+2)/4	$\frac{\sqrt{10} + 2}{4}$
127914	Find the Maximum Number of Real Roots	f(x)=x^3-7x-6	$f (x) = x^{3} - 7 x - 6$
127915	Find Where Undefined/Discontinuous	f(x)=(x+3)/((x-4)(x+3))	$f (x) = \frac{x + 3}{(x - 4) (x + 3)}$
127916	Reduce	(4x^2-1)/(4x+2)	$\frac{4 x^{2} - 1}{4 x + 2}$
127917	Find the Upper or Third Quartile	2 , 6 , 12 , 8 , 3 , 9 , 14 , 20	$2$ , $6$ , $12$ , $8$ , $3$ , $9$ , $14$ , $20$
127918	Find the Leading Coefficient	(x+y)^6	${(x + y)}^{6}$
127919	Convert to Set Notation	(-5,infinity)	$(- 5, \infty)$
127920	Combine Like Terms	-3+2+4-3x	$- 3 + 2 + 4 - 3 x$
127921	Solve Using a Matrix by Row Operations	-1/2x+1/2y+1/7z=-53/141/2x-1/2y+1/4z=3 1/4x+1/5y+1/3z=23/15	$- \frac{1}{2} x + \frac{1}{2} y + \frac{1}{7} z = - \frac{53}{14} \frac{1}{2} x - \frac{1}{2} y + \frac{1}{4} z = 3 \frac{1}{4} x + \frac{1}{5} y + \frac{1}{3} z = \frac{23}{15}$
127922	Determine if Surjective (Onto)	f(x)=x+2	$f (x) = x + 2$
127923	Convert to Rectangular	2(cos((7pi)/4)+isin((7pi)/4))	$2 (\cos (\frac{7 π}{4}) + i \sin (\frac{7 π}{4}))$
127924	Convert to Rectangular	(1-i)^10	${(1 - i)}^{10}$
127925	Find the Interquartile Range (H-Spread)	12 , 14 , 16 , 17.5 , 10 , 18 , 15 , 15.5 , 19	$12$ , $14$ , $16$ , $17.5$ , $10$ , $18$ , $15$ , $15.5$ , $19$
127926	Find the Average	11 , 16 , 15 , 22	$11$ , $16$ , $15$ , $22$
127927	Round to the Nearest Thousandth	0.4	$0.4$
127928	Cancel the Common Factors	(x^2-2x)/(x^3+-2x^2+4x)	$\frac{x^{2} - 2 x}{x^{3} + - 2 x^{2} + 4 x}$
127929	Subtract the Matrices	[[2,-1,-4],[0,-2,3],[2,3,-5]]-[[1,0,4],[0,2,5],[-2,-1,3]]	$[\begin{array}{c} 2 & - 1 & - 4 \\ 0 & - 2 & 3 \\ 2 & 3 & - 5 \end{array}] - [\begin{array}{c} 1 & 0 & 4 \\ 0 & 2 & 5 \\ - 2 & - 1 & 3 \end{array}]$
127930	Find the Upper or Third Quartile	45 , 76 , 12 , 39 , 87 , 65 , 23 , 32	$45$ , $76$ , $12$ , $39$ , $87$ , $65$ , $23$ , $32$
127931	Find the Leading Coefficient	9+x^5-4x^2	$9 + x^{5} - 4 x^{2}$
127932	Find the Lower or First Quartile	12 , 6 , 8 , 3 , 10 , 15 , 18 , 7	$12$ , $6$ , $8$ , $3$ , $10$ , $15$ , $18$ , $7$
127933	Convert to Rectangular	r=5	$r = 5$
127934	Determine if Odd, Even, or Neither	y=x^3	$y = x^{3}$
127935	Find the Eccentricity	2x^2+5y^2=10	$2 x^{2} + 5 y^{2} = 10$
127936	Solve Using a Matrix by Elimination	10.95x+14.95y=620.55x+y=49	$10.95 x + 14.95 y = 620.55 x + y = 49$
127937	Solve Using a Matrix by Elimination	4x-y+3z=12x+4y+6z=-325x+3y+9z=20	$4 x - y + 3 z = 12 x + 4 y + 6 z = - 325 x + 3 y + 9 z = 20$
127938	Rationalize the Numerator	square root of 23/19	$\sqrt{\frac{23}{19}}$
127939	Find the Maximum Number of Real Roots	f(x)=3x^4-x^2+4x-2	$f (x) = 3 x^{4} - x^{2} + 4 x - 2$
127940	Find the Remainder	4x^3+11x^2-8x-10 , x+3	$4 x^{3} + 11 x^{2} - 8 x - 10$ , $x + 3$
127941	Identify the Polar Equation	r=8cos(theta)	$r = 8 \cos (θ)$
127942	Find the Upper or Third Quartile	14 , 18 , 20 , 21 , 25 , 32 , 40 , 44 , 48	$14$ , $18$ , $20$ , $21$ , $25$ , $32$ , $40$ , $44$ , $48$
127943	Find the Leading Coefficient	zx+5x^2z-z^5	$z x + 5 x^{2} z - z^{5}$
127944	Find the Leading Coefficient	3y^2-2y+5	$3 y^{2} - 2 y + 5$
127945	Find the Leading Coefficient	(x+y)^4	${(x + y)}^{4}$
127946	Find the Local Maxima and Minima	f(x)=-2x^2-4x+16	$f (x) = - 2 x^{2} - 4 x + 16$
127947	Solve over the Interval	x(x+4)=24 , (-2,9)	$x (x + 4) = 24$ , $(- 2, 9)$
127948	Find the Interquartile Range (H-Spread)	12 , 14 , 16 , 16.5 , 11 , 18 , 18 , 14 , 20	$12$ , $14$ , $16$ , $16.5$ , $11$ , $18$ , $18$ , $14$ , $20$
127949	Find the Eccentricity	(x^2)/12+(y^2)/16=1	$\frac{x^{2}}{12} + \frac{y^{2}}{16} = 1$
127950	Find the Range	45 , 93 , 60 , 72 , 15 , 45 , 81	$45$ , $93$ , $60$ , $72$ , $15$ , $45$ , $81$
127951	Find the Maximum Number of Real Roots	f(x)=5x^2-3x+3	$f (x) = 5 x^{2} - 3 x + 3$
127952	Find the Expanded Form	(x-3)^2+(y-1)^2=16	${(x - 3)}^{2} + {(y - 1)}^{2} = 16$
127953	Convert to Set Notation	(-4,infinity)	$(- 4, \infty)$
127954	Convert to Set Notation	((x-4)(x+5))/(x-6)<=0	$\frac{(x - 4) (x + 5)}{x - 6} \leq 0$
127955	Find the Domain of the Quotient of the Two Functions	f(x)=x^2+9 , g(x)=5x-3	$f (x) = x^{2} + 9$ , $g (x) = 5 x - 3$
127956	Identify the Polar Equation	r=7	$r = 7$
127957	Find P(AnB) for Independent Events A and B	p(A)=1/4 , P(B)=2/7	$p (A) = \frac{1}{4}$ , $P (B) = \frac{2}{7}$
127958	Convert to Rectangular	3(cos(pi/3)+isin(pi/3))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
127959	Determine if Perpendicular	y=3x , y=-1/3x	$y = 3 x$ , $y = - \frac{1}{3} x$
127960	Find the Slope for Each Equation	y=1 , y=x+3	$y = 1$ , $y = x + 3$
127961	Find the Slope for Each Equation	y=x-4 , y=5x	$y = x - 4$ , $y = 5 x$
127962	Find the Eccentricity	(x^2)/7+(y^2)/16=1	$\frac{x^{2}}{7} + \frac{y^{2}}{16} = 1$
127963	Solve Using a Matrix by Elimination	5x+2y+z=-112x-3y-z=177x-y=12	$5 x + 2 y + z = - 112 x - 3 y - z = 177 x - y = 12$
127964	Rationalize the Numerator	cube root of 5/8	$\sqrt[3]{\frac{5}{8}}$
127965	Identify the Polar Equation	r=8	$r = 8$
127966	Convert to Set Notation	(negative infinity,-5)	$(- \infty, - 5)$
127967	Convert to Set Notation	[0,infinity)	$[0, \infty)$
127968	Find a,b,c	x^2-5x+6=9	$x^{2} - 5 x + 6 = 9$
127969	Convert to Rectangular	4(cos((3pi)/2)+isin((3pi)/2))	$4 (\cos (\frac{3 π}{2}) + i \sin (\frac{3 π}{2}))$
127970	Find the Slope and y-intercept	f(x)=4	$f (x) = 4$
127971	Find Reduced Row Echelon Form	[[1,1,1,7],[1,-1,2,7],[2,0,3,14]]	$[\begin{array}{c} 1 & 1 & 1 & 7 \\ 1 & - 1 & 2 & 7 \\ 2 & 0 & 3 & 14 \end{array}]$
127972	Find the Range	62 , 44 , 31 , 31 , 12 , 89 , 71	$62$ , $44$ , $31$ , $31$ , $12$ , $89$ , $71$
127973	Find the Expanded Form	(x-4)^2+(y-3)^2=25	${(x - 4)}^{2} + {(y - 3)}^{2} = 25$
127974	Find the Maximum Number of Real Roots	f(x)=x^3+4x^2-3x-18	$f (x) = x^{3} + 4 x^{2} - 3 x - 18$
127975	Rationalize the Numerator	cube root of 7/27	$\sqrt[3]{\frac{7}{27}}$
127976	Rationalize the Numerator	cube root of 7/8	$\sqrt[3]{\frac{7}{8}}$
127977	Find the Square or Rectangle Perimeter	(-5,-5) , (-5,5) , (5,5) , (5,-5)	$(- 5, - 5)$ , $(- 5, 5)$ , $(5, 5)$ , $(5, - 5)$
127978	Convert to Set Notation	(-2,infinity)	$(- 2, \infty)$
127979	Find the Upper or Third Quartile	63 , 98 , 40 , 32 , 20 , 80 , 102 , 65	$63$ , $98$ , $40$ , $32$ , $20$ , $80$ , $102$ , $65$
127980	Determine if Injective (One to One)	y=x^2+4	$y = x^{2} + 4$
127981	Rationalize the Numerator	cube root of 2/125	$\sqrt[3]{\frac{2}{125}}$
127982	Find Pivot Positions and Pivot Columns	[[3,2],[4,6]]	$[\begin{array}{c} 3 & 2 \\ 4 & 6 \end{array}]$
127983	Find the Parent Function	g(x)=x^2-1	$g (x) = x^{2} - 1$
127984	Find Where Undefined/Discontinuous	f(x)=(x+1)/(6x^2-7x-3)	$f (x) = \frac{x + 1}{6 x^{2} - 7 x - 3}$
127985	Find Where Undefined/Discontinuous	f(x)=(x^2-9)/(x-3)	$f (x) = \frac{x^{2} - 9}{x - 3}$
127986	Combine Like Terms	-3x-4x+4y-2	$- 3 x - 4 x + 4 y - 2$
127987	Find the Equation of the Parabola	(2,26) , (3,2) , (5,16)	$(2, 26)$ , $(3, 2)$ , $(5, 16)$
127988	Convert to Set Notation	(negative infinity,0)	$(- \infty, 0)$
127989	Find the Slope and y-intercept	f(x)=5x-2	$f (x) = 5 x - 2$
127990	Convert to Rectangular	r=6	$r = 6$
127991	Convert to Rectangular	4(cos(120)+isin(120))	$4 (\cos (120) + i \sin (120))$
127992	Write as an Equation	f(x)=2^x	$f (x) = 2^{x}$
127993	Find Where Increasing/Decreasing	y=(1-x)^2-4	$y = {(1 - x)}^{2} - 4$
127994	Determine the Possible Number of Real Roots	-4x^2+12x-9=0	$- 4 x^{2} + 12 x - 9 = 0$
127995	Rationalize the Numerator	cube root of 3/125	$\sqrt[3]{\frac{3}{125}}$
127996	Find the Lower or First Quartile	2 , 6 , 12 , 8 , 3 , 9 , 14 , 20	$2$ , $6$ , $12$ , $8$ , $3$ , $9$ , $14$ , $20$
127997	Find the Eccentricity	(x^2)/27+(y^2)/36=1	$\frac{x^{2}}{27} + \frac{y^{2}}{36} = 1$
127998	Convert from Interval to Inequality	(-3,0)	$(- 3, 0)$
127999	Subtract the Expressions	x^2+x+1 , x^2+8x+1	$x^{2} + x + 1$ , $x^{2} + 8 x + 1$
128000	Simplify	(negative infinity,10) union (negative infinity,13)	$(- \infty, 10) \cup (- \infty, 13)$