Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
132601	Combine	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
132602	Combine	7a+7b+6z+6x+6y	$7 a + 7 b + 6 z + 6 x + 6 y$
132603	Combine	y^3-y^2+4y^3+7y^2-3x^3+y^2+4y^3	$y^{3} - y^{2} + 4 y^{3} + 7 y^{2} - 3 x^{3} + y^{2} + 4 y^{3}$
132604	Find the Properties	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
132605	Determine if the Expression is a Perfect Square	x^2-16x+64	$x^{2} - 16 x + 64$
132606	Determine if the Expression is a Perfect Square	b^2-4ac	$b^{2} - 4 a c$
132607	Determine if the Expression is a Perfect Square	75	$75$
132608	Reduce	(y^2+2y)/(y^2+4y+4)	$\frac{y^{2} + 2 y}{y^{2} + 4 y + 4}$
132609	Reduce	(2m^6+6m)/(3m^14+12m^9+9m^4)	$\frac{2 m^{6} + 6 m}{3 m^{14} + 12 m^{9} + 9 m^{4}}$
132610	Reduce	(3a^2-13a+4)/(9a^2-6a+1)*(28+7a)/(a^2-16)	$\frac{3 a^{2} - 13 a + 4}{9 a^{2} - 6 a + 1} \cdot \frac{28 + 7 a}{a^{2} - 16}$
132611	Find Trig Functions Using Identities	cot(x)^2-csc(x)^2	$\cot^{2} (x) - \csc^{2} (x)$
132612	Determine if @POINT is a Solution	x-9<-15	$x - 9 < - 15$
132613	Find the LCD	6/(x^2+7x)-8/(x^2+10x+21)	$\frac{6}{x^{2} + 7 x} - \frac{8}{x^{2} + 10 x + 21}$
132614	Find the LCD	4/(3x-6y)1/(5x-10y)	$\frac{4}{3 x - 6 y} \frac{1}{5 x - 10 y}$
132615	Find the LCD	(2x)/(x^2-25)+-3/(6x+30)=8/(6x)	$\frac{2 x}{x^{2} - 25} + \frac{- 3}{6 x + 30} = \frac{8}{6 x}$
132616	Find the Equation Using Point-Slope Formula	(0,0) , (-1/6,1/5)	$(0, 0)$ , $(- \frac{1}{6}, \frac{1}{5})$
132617	Write the Fraction in Simplest Form	5 1/2	$5 \frac{1}{2}$
132618	Write the Fraction in Simplest Form	32/36	$\frac{32}{36}$
132619	Write the Fraction in Simplest Form	5/7	$\frac{5}{7}$
132620	Write the Fraction in Simplest Form	28/35	$\frac{28}{35}$
132621	Write the Fraction in Simplest Form	3/16	$\frac{3}{16}$
132622	Write the Fraction in Simplest Form	20/45	$\frac{20}{45}$
132623	Write the Fraction in Simplest Form	0.75	$0.75$
132624	Write the Fraction in Simplest Form	2 5/6	$2 \frac{5}{6}$
132625	Write the Fraction in Simplest Form	25 3/2	$25 \frac{3}{2}$
132626	Write the Fraction in Simplest Form	square root of 18	$\sqrt{18}$
132627	Find the Behavior (Leading Coefficient Test)	x^4-6x^3+9x^2	$x^{4} - 6 x^{3} + 9 x^{2}$
132628	Write the Fraction in Simplest Form	1/7	$\frac{1}{7}$
132629	Write the Fraction in Simplest Form	1/2	$\frac{1}{2}$
132630	Find the Mode	14 , 15 , 3 , 15 , 14 , 14 , 18 , 15 , 8 , 16	$14$ , $15$ , $3$ , $15$ , $14$ , $14$ , $18$ , $15$ , $8$ , $16$
132631	Find the Mode	8 , 1 , 2 , 6 , 1 , 4	$8$ , $1$ , $2$ , $6$ , $1$ , $4$
132632	Find the Prime Factorization	143000	$143000$
132633	Simplify the Matrix	[[5],[2]]	$[\begin{array}{c} 5 \\ 2 \end{array}]$
132634	Find the Parabola with Focus (-2,5) and Directrix x=3	(-2,5) x=3	$(- 2, 5)$ $x = 3$
132635	Find the Parabola with Focus (-7,-5) and Directrix x=-4	(-7,-5) x=-4	$(- 7, - 5)$ $x = - 4$
132636	Find the Parabola with Focus (7,-6) and Directrix x=5	(7,-6) x=5	$(7, - 6)$ $x = 5$
132637	Determine if Odd, Even, or Neither	-9x^10-6x^6+5x^4-x^2	$- 9 x^{10} - 6 x^{6} + 5 x^{4} - x^{2}$
132638	Find Any Equation Perpendicular to the Line	9x=2y-1	$9 x = 2 y - 1$
132639	Find Any Equation Perpendicular to the Line	y=1/2x+3	$y = \frac{1}{2} x + 3$
132640	Find the Square or Rectangle Area	(-2,5) , (-4,3) , (-2,3)	$(- 2, 5)$ , $(- 4, 3)$ , $(- 2, 3)$
132641	Find the Cosine Given the Point	(21/29,20/29)	$(\frac{21}{29}, \frac{20}{29})$
132642	Verify the Identity	tan(x)(cot(x)+tan(x))=sec(x)^2	$\tan (x (\cot (x) + \tan (x))) = \sec^{2} (x)$
132643	Write as an Equation	f(x)=1/2x-6	$f (x) = \frac{1}{2} x - 6$
132644	Determine if the Relation is a Function	{(1,2),(1,3),(1,4),(1,5)}	${(1, 2), (1, 3), (1, 4), (1, 5)}$
132645	Find g(f(x))	f(x)=x-5g(x)=x^2	$f (x) = x - 5 g (x) = x^{2}$
132646	Find f(g(x))	f(x)=4x+5 , g(x)=3x-1	$f (x) = 4 x + 5$ , $g (x) = 3 x - 1$
132647	Find the Derivative - d/db	1/(b^(2/7))	$\frac{1}{b^{\frac{2}{7}}}$
132648	Find Where Undefined/Discontinuous	y=4/(9x-45)	$y = \frac{4}{9 x - 45}$
132649	Find the Upper or Third Quartile	24 , 20 , 35 , 43 , 28 , 42 , 25 , 29 , 44 , 21 , 37	$24$ , $20$ , $35$ , $43$ , $28$ , $42$ , $25$ , $29$ , $44$ , $21$ , $37$
132650	Graph the Interval	[-4,-1]	$[- 4, - 1]$
132651	Determine the Type of Number	square root of 169	$\sqrt{169}$
132652	Determine the Type of Number	square root of -25	$\sqrt{- 25}$
132653	Determine the Type of Number	square root of 39	$\sqrt{39}$
132654	Determine the Type of Number	0.5	$0.5$
132655	Determine the Type of Number	square root of 42	$\sqrt{42}$
132656	Find the Trig Value	cos((2pi)/3)	$\cos (\frac{2 π}{3})$
132657	Find the Trig Value	sin(x)=3/5	$\sin (x) = \frac{3}{5}$
132658	Find the Equation Given the Roots	-64	$- 64$
132659	Find the Equation Given the Roots	-5 , -2 , 1	$- 5$ , $- 2$ , $1$
132660	Find the Equation Given the Roots	5 , 6	$5$ , $6$
132661	Find the Sum of the Infinite Geometric Series	5 , 15 , 45 , 135	$5$ , $15$ , $45$ , $135$
132662	Solve the Triangle	((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2	$\frac{(5 - 3 i) (x + i y)}{(4 - 5 i)} = {(2 + i)}^{2} - {(3 - 4 i)}^{2}$
132663	Subtract the Matrices	[[-1,0],[5,3]]-[[-1,5],[3,1]]	$[\begin{array}{c} - 1 & 0 \\ 5 & 3 \end{array}] - [\begin{array}{c} - 1 & 5 \\ 3 & 1 \end{array}]$
132664	Subtract the Matrices	[[-5,2,-2],[4,-2,0]]-[[6,-5,-6],[1,3,-3]]	$[\begin{array}{c} - 5 & 2 & - 2 \\ 4 & - 2 & 0 \end{array}] - [\begin{array}{c} 6 & - 5 & - 6 \\ 1 & 3 & - 3 \end{array}]$
132665	Find Amplitude, Period, and Phase Shift	sin(x+pi)	$\sin (x + π)$
132666	Find the End Point Given Start (18.6,-1) and Mid (1,-34)	(18.6,-1) , (1,-34)	$(18.6, - 1)$ , $(1, - 34)$
132667	Determine if Dependent, Independent, or Inconsistent	3x-15y=122x-10y=8	$3 x - 15 y = 122 x - 10 y = 8$
132668	Split Using Partial Fraction Decomposition	(x^2)/(x^4-1296)	$\frac{x^{2}}{x^{4} - 1296}$
132669	Split Using Partial Fraction Decomposition	(4x^2+5x+30)/(x^3-27)	$\frac{4 x^{2} + 5 x + 30}{x^{3} - 27}$
132670	Split Using Partial Fraction Decomposition	(4x^5+17x^4-16x^3-5x^2+x)/(4x^2+21x+5)	$\frac{4 x^{5} + 17 x^{4} - 16 x^{3} - 5 x^{2} + x}{4 x^{2} + 21 x + 5}$
132671	Split Using Partial Fraction Decomposition	(7x-4)/(x^2-x-12)	$\frac{7 x - 4}{x^{2} - x - 12}$
132672	Split Using Partial Fraction Decomposition	(6x^2)/((x-5)^2(x+5)^2)	$\frac{6 x^{2}}{{(x - 5)}^{2} {(x + 5)}^{2}}$
132673	Solve Using a Matrix with Cramer's Rule	11x+3y=1 , 5x+2y=4	$11 x + 3 y = 1$ , $5 x + 2 y = 4$
132674	Solve for x	-70<2x-10<50	$- 70 < 2 x - 10 < 50$
132675	Solve for x	-2<(4x-1)/3<=0	$- 2 < \frac{4 x - 1}{3} \leq 0$
132676	Solve for x	-11<=-5x-1<14	$- 11 \leq - 5 x - 1 < 14$
132677	Solve for m	-19<5m-4<=-4	$- 19 < 5 m - 4 \leq - 4$
132678	Find the Standard Form of the Parabola	f(x)=x^2+2x-8	$f (x) = x^{2} + 2 x - 8$
132679	Find the Standard Form of the Parabola	3x^2+30x+y+79=0	$3 x^{2} + 30 x + y + 79 = 0$
132680	Find the Standard Form of the Parabola	f(x)=-(x+3)^2-1	$f (x) = - {(x + 3)}^{2} - 1$
132681	Find the Standard Form of the Parabola	y^2-2y+12x-35=0	$y^{2} - 2 y + 12 x - 35 = 0$
132682	Find the Standard Form of the Parabola	x^2-2x-12y-59=0	$x^{2} - 2 x - 12 y - 59 = 0$
132683	Find the Standard Form of the Parabola	x^2-6x-4y+1=0	$x^{2} - 6 x - 4 y + 1 = 0$
132684	Find the Standard Form of the Parabola	x^2-6x-y+8=0	$x^{2} - 6 x - y + 8 = 0$
132685	Find the Standard Form of the Parabola	x^2-8x-y+11=0	$x^{2} - 8 x - y + 11 = 0$
132686	Find the Standard Form of the Parabola	y=x^2+8x+15	$y = x^{2} + 8 x + 15$
132687	Find the Constant of Variation	y=3/4x	$y = \frac{3}{4} x$
132688	Find the Constant of Variation	y=8x	$y = 8 x$
132689	Find the Constant of Variation	2xy=10	$2 x y = 10$
132690	Find the LCD	8/(3x+12) , 7/(6x)	$\frac{8}{3 x + 12}$ , $\frac{7}{6 x}$
132691	Find the LCD	-7/(5y) , 35/(7y)	$\frac{- 7}{5 y}$ , $\frac{35}{7 y}$
132692	Find the LCD	5x+5 , x+1	$5 x + 5$ , $x + 1$
132693	Find the LCD	(x+5)/(2x-4) , (4x)/(x-2)	$\frac{x + 5}{2 x - 4}$ , $\frac{4 x}{x - 2}$
132694	Find the LCD	1/9 , 1/15 , 1/5	$\frac{1}{9}$ , $\frac{1}{15}$ , $\frac{1}{5}$
132695	Convert from Interval to Inequality	(-3,4)	$(- 3, 4)$
132696	Convert from Interval to Inequality	(7,9)	$(7, 9)$
132697	Find All Complex Number Solutions	9x^2-12x+4=0	$9 x^{2} - 12 x + 4 = 0$
132698	Find All Complex Number Solutions	x^2-2x+5=0	$x^{2} - 2 x + 5 = 0$
132699	Find All Complex Number Solutions	x^2-3x+8=0	$x^{2} - 3 x + 8 = 0$
132700	Find All Complex Number Solutions	x^4-16=0	$x^{4} - 16 = 0$