Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
132601	Determine if a Polynomial	x^2-18x+81	$x^{2} - 18 x + 81$
132602	Find the Average Rate of Change	f(x)=2x^2-x+6 ; [-2,3]	$f (x) = 2 x^{2} - x + 6$ ; $[- 2, 3]$
132603	Find the Next Term	6 , 11 , 16 , 21	$6$ , $11$ , $16$ , $21$
132604	Find the Next Term	21 , 15 , 9 , 3	$21$ , $15$ , $9$ , $3$
132605	Find the Next Term	4 , 16 , 36 , 64 , 100	$4$ , $16$ , $36$ , $64$ , $100$
132606	Find the Next Term	2/3 , 4/4 , 6/5 , 8/6	$\frac{2}{3}$ , $\frac{4}{4}$ , $\frac{6}{5}$ , $\frac{8}{6}$
132607	Find the Next Term	4/9 , -4/3 , 4 ,	$\frac{4}{9}$ , $- \frac{4}{3}$ , $4$ ,
132608	Find the Next Term	0 , 3 , 8 , 15 , 24	$0$ , $3$ , $8$ , $15$ , $24$
132609	Find the Next Term	1/6 , 2/7 , 3/8 , 4/9 , 5/10	$\frac{1}{6}$ , $\frac{2}{7}$ , $\frac{3}{8}$ , $\frac{4}{9}$ , $\frac{5}{10}$
132610	Find the Next Term	1/14 , 2/15 , 3/16 , 4/17	$\frac{1}{14}$ , $\frac{2}{15}$ , $\frac{3}{16}$ , $\frac{4}{17}$
132611	Combine	-4x-10x	$- 4 x - 10 x$
132612	Combine	5n+11n	$5 n + 11 n$
132613	Combine	-3(10b+10)+5(b+2)	$- 3 (10 b + 10) + 5 (b + 2)$
132614	Combine	3xy^2+2x^2y-2xy^2	$3 x y^{2} + 2 x^{2} y - 2 x y^{2}$
132615	Combine	3a-7a^2-3a	$3 a - 7 a^{2} - 3 a$
132616	Combine	12x+4y-3x+2-8y^2+3^2	$12 x + 4 y - 3 x + 2 - 8 y^{2} + 3^{2}$
132617	Combine	7a+7b+6z+6x+6y	$7 a + 7 b + 6 z + 6 x + 6 y$
132618	Combine	y^3-y^2+4y^3+7y^2-3x^3+y^2+4y^3	$y^{3} - y^{2} + 4 y^{3} + 7 y^{2} - 3 x^{3} + y^{2} + 4 y^{3}$
132619	Find the Properties	(x^2)/144-(y^2)/25=1	$\frac{x^{2}}{144} - \frac{y^{2}}{25} = 1$
132620	Determine if the Expression is a Perfect Square	x^2-16x+64	$x^{2} - 16 x + 64$
132621	Determine if the Expression is a Perfect Square	b^2-4ac	$b^{2} - 4 a c$
132622	Determine if the Expression is a Perfect Square	75	$75$
132623	Reduce	(y^2+2y)/(y^2+4y+4)	$\frac{y^{2} + 2 y}{y^{2} + 4 y + 4}$
132624	Reduce	(2m^6+6m)/(3m^14+12m^9+9m^4)	$\frac{2 m^{6} + 6 m}{3 m^{14} + 12 m^{9} + 9 m^{4}}$
132625	Reduce	(3a^2-13a+4)/(9a^2-6a+1)*(28+7a)/(a^2-16)	$\frac{3 a^{2} - 13 a + 4}{9 a^{2} - 6 a + 1} \cdot \frac{28 + 7 a}{a^{2} - 16}$
132626	Find Trig Functions Using Identities	cot(x)^2-csc(x)^2	$\cot^{2} (x) - \csc^{2} (x)$
132627	Determine if @POINT is a Solution	x-9<-15	$x - 9 < - 15$
132628	Find the LCD	6/(x^2+7x)-8/(x^2+10x+21)	$\frac{6}{x^{2} + 7 x} - \frac{8}{x^{2} + 10 x + 21}$
132629	Find the LCD	4/(3x-6y)1/(5x-10y)	$\frac{4}{3 x - 6 y} \frac{1}{5 x - 10 y}$
132630	Find the LCD	(2x)/(x^2-25)+-3/(6x+30)=8/(6x)	$\frac{2 x}{x^{2} - 25} + \frac{- 3}{6 x + 30} = \frac{8}{6 x}$
132631	Find the Equation Using Point-Slope Formula	(0,0) , (-1/6,1/5)	$(0, 0)$ , $(- \frac{1}{6}, \frac{1}{5})$
132632	Write the Fraction in Simplest Form	5 1/2	$5 \frac{1}{2}$
132633	Write the Fraction in Simplest Form	32/36	$\frac{32}{36}$
132634	Write the Fraction in Simplest Form	5/7	$\frac{5}{7}$
132635	Write the Fraction in Simplest Form	28/35	$\frac{28}{35}$
132636	Write the Fraction in Simplest Form	3/16	$\frac{3}{16}$
132637	Write the Fraction in Simplest Form	20/45	$\frac{20}{45}$
132638	Write the Fraction in Simplest Form	0.75	$0.75$
132639	Write the Fraction in Simplest Form	2 5/6	$2 \frac{5}{6}$
132640	Write the Fraction in Simplest Form	25 3/2	$25 \frac{3}{2}$
132641	Write the Fraction in Simplest Form	square root of 18	$\sqrt{18}$
132642	Find the Behavior (Leading Coefficient Test)	x^4-6x^3+9x^2	$x^{4} - 6 x^{3} + 9 x^{2}$
132643	Write the Fraction in Simplest Form	1/7	$\frac{1}{7}$
132644	Write the Fraction in Simplest Form	1/2	$\frac{1}{2}$
132645	Find the Mode	14 , 15 , 3 , 15 , 14 , 14 , 18 , 15 , 8 , 16	$14$ , $15$ , $3$ , $15$ , $14$ , $14$ , $18$ , $15$ , $8$ , $16$
132646	Find the Mode	8 , 1 , 2 , 6 , 1 , 4	$8$ , $1$ , $2$ , $6$ , $1$ , $4$
132647	Find the Prime Factorization	143000	$143000$
132648	Simplify the Matrix	[[5],[2]]	$[\begin{array}{c} 5 \\ 2 \end{array}]$
132649	Find the Parabola with Focus (-2,5) and Directrix x=3	(-2,5) x=3	$(- 2, 5)$ $x = 3$
132650	Find the Parabola with Focus (-7,-5) and Directrix x=-4	(-7,-5) x=-4	$(- 7, - 5)$ $x = - 4$
132651	Find the Parabola with Focus (7,-6) and Directrix x=5	(7,-6) x=5	$(7, - 6)$ $x = 5$
132652	Determine if Odd, Even, or Neither	-9x^10-6x^6+5x^4-x^2	$- 9 x^{10} - 6 x^{6} + 5 x^{4} - x^{2}$
132653	Find Any Equation Perpendicular to the Line	9x=2y-1	$9 x = 2 y - 1$
132654	Find Any Equation Perpendicular to the Line	y=1/2x+3	$y = \frac{1}{2} x + 3$
132655	Find the Square or Rectangle Area	(-2,5) , (-4,3) , (-2,3)	$(- 2, 5)$ , $(- 4, 3)$ , $(- 2, 3)$
132656	Find the Cosine Given the Point	(21/29,20/29)	$(\frac{21}{29}, \frac{20}{29})$
132657	Verify the Identity	tan(x)(cot(x)+tan(x))=sec(x)^2	$\tan (x (\cot (x) + \tan (x))) = \sec^{2} (x)$
132658	Write as an Equation	f(x)=1/2x-6	$f (x) = \frac{1}{2} x - 6$
132659	Determine if the Relation is a Function	{(1,2),(1,3),(1,4),(1,5)}	${(1, 2), (1, 3), (1, 4), (1, 5)}$
132660	Find g(f(x))	f(x)=x-5g(x)=x^2	$f (x) = x - 5 g (x) = x^{2}$
132661	Find f(g(x))	f(x)=4x+5 , g(x)=3x-1	$f (x) = 4 x + 5$ , $g (x) = 3 x - 1$
132662	Find the Derivative - d/db	1/(b^(2/7))	$\frac{1}{b^{\frac{2}{7}}}$
132663	Find Where Undefined/Discontinuous	y=4/(9x-45)	$y = \frac{4}{9 x - 45}$
132664	Find the Upper or Third Quartile	24 , 20 , 35 , 43 , 28 , 42 , 25 , 29 , 44 , 21 , 37	$24$ , $20$ , $35$ , $43$ , $28$ , $42$ , $25$ , $29$ , $44$ , $21$ , $37$
132665	Graph the Interval	[-4,-1]	$[- 4, - 1]$
132666	Determine the Type of Number	square root of 169	$\sqrt{169}$
132667	Determine the Type of Number	square root of -25	$\sqrt{- 25}$
132668	Determine the Type of Number	square root of 39	$\sqrt{39}$
132669	Determine the Type of Number	0.5	$0.5$
132670	Determine the Type of Number	square root of 42	$\sqrt{42}$
132671	Find the Trig Value	cos((2pi)/3)	$\cos (\frac{2 π}{3})$
132672	Find the Trig Value	sin(x)=3/5	$\sin (x) = \frac{3}{5}$
132673	Find the Equation Given the Roots	-64	$- 64$
132674	Find the Equation Given the Roots	-5 , -2 , 1	$- 5$ , $- 2$ , $1$
132675	Find the Equation Given the Roots	5 , 6	$5$ , $6$
132676	Find the Sum of the Infinite Geometric Series	5 , 15 , 45 , 135	$5$ , $15$ , $45$ , $135$
132677	Solve the Triangle	((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2	$\frac{(5 - 3 i) (x + i y)}{(4 - 5 i)} = {(2 + i)}^{2} - {(3 - 4 i)}^{2}$
132678	Subtract the Matrices	[[-1,0],[5,3]]-[[-1,5],[3,1]]	$[\begin{array}{c} - 1 & 0 \\ 5 & 3 \end{array}] - [\begin{array}{c} - 1 & 5 \\ 3 & 1 \end{array}]$
132679	Subtract the Matrices	[[-5,2,-2],[4,-2,0]]-[[6,-5,-6],[1,3,-3]]	$[\begin{array}{c} - 5 & 2 & - 2 \\ 4 & - 2 & 0 \end{array}] - [\begin{array}{c} 6 & - 5 & - 6 \\ 1 & 3 & - 3 \end{array}]$
132680	Find Amplitude, Period, and Phase Shift	sin(x+pi)	$\sin (x + π)$
132681	Find the End Point Given Start (18.6,-1) and Mid (1,-34)	(18.6,-1) , (1,-34)	$(18.6, - 1)$ , $(1, - 34)$
132682	Determine if Dependent, Independent, or Inconsistent	3x-15y=122x-10y=8	$3 x - 15 y = 122 x - 10 y = 8$
132683	Split Using Partial Fraction Decomposition	(x^2)/(x^4-1296)	$\frac{x^{2}}{x^{4} - 1296}$
132684	Split Using Partial Fraction Decomposition	(4x^2+5x+30)/(x^3-27)	$\frac{4 x^{2} + 5 x + 30}{x^{3} - 27}$
132685	Split Using Partial Fraction Decomposition	(4x^5+17x^4-16x^3-5x^2+x)/(4x^2+21x+5)	$\frac{4 x^{5} + 17 x^{4} - 16 x^{3} - 5 x^{2} + x}{4 x^{2} + 21 x + 5}$
132686	Split Using Partial Fraction Decomposition	(7x-4)/(x^2-x-12)	$\frac{7 x - 4}{x^{2} - x - 12}$
132687	Split Using Partial Fraction Decomposition	(6x^2)/((x-5)^2(x+5)^2)	$\frac{6 x^{2}}{{(x - 5)}^{2} {(x + 5)}^{2}}$
132688	Solve Using a Matrix with Cramer's Rule	11x+3y=1 , 5x+2y=4	$11 x + 3 y = 1$ , $5 x + 2 y = 4$
132689	Solve for x	-70<2x-10<50	$- 70 < 2 x - 10 < 50$
132690	Solve for x	-2<(4x-1)/3<=0	$- 2 < \frac{4 x - 1}{3} \leq 0$
132691	Solve for x	-11<=-5x-1<14	$- 11 \leq - 5 x - 1 < 14$
132692	Solve for m	-19<5m-4<=-4	$- 19 < 5 m - 4 \leq - 4$
132693	Find the Standard Form of the Parabola	f(x)=x^2+2x-8	$f (x) = x^{2} + 2 x - 8$
132694	Find the Standard Form of the Parabola	3x^2+30x+y+79=0	$3 x^{2} + 30 x + y + 79 = 0$
132695	Find the Standard Form of the Parabola	f(x)=-(x+3)^2-1	$f (x) = - {(x + 3)}^{2} - 1$
132696	Find the Standard Form of the Parabola	y^2-2y+12x-35=0	$y^{2} - 2 y + 12 x - 35 = 0$
132697	Find the Standard Form of the Parabola	x^2-2x-12y-59=0	$x^{2} - 2 x - 12 y - 59 = 0$
132698	Find the Standard Form of the Parabola	x^2-6x-4y+1=0	$x^{2} - 6 x - 4 y + 1 = 0$
132699	Find the Standard Form of the Parabola	x^2-6x-y+8=0	$x^{2} - 6 x - y + 8 = 0$
132700	Find the Standard Form of the Parabola	x^2-8x-y+11=0	$x^{2} - 8 x - y + 11 = 0$