Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
137601	Find the 5th Term	9 , 6 , 4 , 8/3	$9$ , $6$ , $4$ , $\frac{8}{3}$
137602	Find the 5th Term	96 , 72 , 54	$96$ , $72$ , $54$
137603	Find the 6th Term	1 , 4 , 7 , 10	$1$ , $4$ , $7$ , $10$
137604	Find the 6th Term	-1 , 2/3 , 7/3 , 4 , 17/3	$- 1$ , $\frac{2}{3}$ , $\frac{7}{3}$ , $4$ , $\frac{17}{3}$
137605	Determine the Possible Number of Real Roots	x^5+3x^3-x^2+6x	$x^{5} + 3 x^{3} - x^{2} + 6 x$
137606	Determine the Possible Number of Real Roots	x^5+3x^3-x^2+9x	$x^{5} + 3 x^{3} - x^{2} + 9 x$
137607	Determine the Possible Number of Real Roots	x^3-2x^2-5x+6	$x^{3} - 2 x^{2} - 5 x + 6$
137608	Determine the Possible Number of Real Roots	4x^4-16x^3+11x^2+4x-3	$4 x^{4} - 16 x^{3} + 11 x^{2} + 4 x - 3$
137609	Find the 5th Term	2/9 , 2/3 , 2	$\frac{2}{9}$ , $\frac{2}{3}$ , $2$
137610	Find the 5th Term	4/3 , 8/3 , 4 , 16/3	$\frac{4}{3}$ , $\frac{8}{3}$ , $4$ , $\frac{16}{3}$
137611	Find the 5th Term	1 , 6 , 11 , 16	$1$ , $6$ , $11$ , $16$
137612	Find the 10th Term	3 , 6 , 12 , 24 , 48 , 96 , 192 , 384	$3$ , $6$ , $12$ , $24$ , $48$ , $96$ , $192$ , $384$
137613	Find the 10th Term	4 , 12 , 36 , 108 , 324 , 972 , 2916 , 8748 , 26244	$4$ , $12$ , $36$ , $108$ , $324$ , $972$ , $2916$ , $8748$ , $26244$
137614	Find the 10th Term	1 , 3 , 9 , 27 , 81 , 243 , 729 , 2187 , 6561	$1$ , $3$ , $9$ , $27$ , $81$ , $243$ , $729$ , $2187$ , $6561$
137615	Evaluate the Integral	integral of 2(2x-6)^8 with respect to x	$\int 2 {(2 x - 6)}^{8} d x$
137616	Evaluate the Integral	integral of x^2(2x^3+2)^8 with respect to x	$\int x^{2} {(2 x^{3} + 2)}^{8} d x$
137617	Write as a Set of Linear Factors	3x^3+5x^2+75x+125	$3 x^{3} + 5 x^{2} + 75 x + 125$
137618	Write as a Set of Linear Factors	x^3-57x+56	$x^{3} - 57 x + 56$
137619	Simplify the Matrix	[[1,3,8,5],[5,4,6,2],[6,7,1,8],[2,9,3,7]]	$[\begin{array}{c} 1 & 3 & 8 & 5 \\ 5 & 4 & 6 & 2 \\ 6 & 7 & 1 & 8 \\ 2 & 9 & 3 & 7 \end{array}]$
137620	Simplify the Matrix	[[12],[2]]	$[\begin{array}{c} 12 \\ 2 \end{array}]$
137621	Simplify the Matrix	(negative infinity,5) intersect (-6,8) intersect [1,6]	$(- \infty, 5) \cap (- 6, 8) \cap [1, 6]$
137622	Simplify the Matrix	[(negative infinity,7) union (12,infinity)] intersect [10,15)	$[(- \infty, 7) \cup (12, \infty)] \cap [10, 15)$
137623	Evaluate the Integral	integral of (5-3z-2z^3) with respect to z	$\int (5 - 3 z - 2 z^{3}) d z$
137624	Evaluate the Integral	integral of 1/(8x^6) with respect to x	$\int \frac{1}{8 x^{6}} d x$
137625	Evaluate the Integral	integral of ((e^x)/3+2x) with respect to x	$\int (\frac{e^{x}}{3} + 2 x) d x$
137626	Simplify the Matrix	table[[x,y],[4,0],[12,5],[20,10]]	$\begin{array}{c} x & y \\ 4 & 0 \\ 12 & 5 \\ 20 & 10 \end{array}$
137627	Simplify the Matrix	table[[x,y],[-2,5],[-0.5,2],[0,1]]	$\begin{array}{c} x & y \\ - 2 & 5 \\ - 0.5 & 2 \\ 0 & 1 \end{array}$
137628	Simplify the Matrix	[[-x-1,-2x,-5y]]-[[y,-2,-3x]]	$[\begin{array}{c} - x - 1 & - 2 x & - 5 y \end{array}] - [\begin{array}{c} y & - 2 & - 3 x \end{array}]$
137629	Simplify the Matrix	table[[x,y],[1,5],[2,7],[3,9]]	$\begin{array}{c} x & y \\ 1 & 5 \\ 2 & 7 \\ 3 & 9 \end{array}$
137630	Simplify the Matrix	[[6y,y^2],[-2y,-2y]]*[[-y,xy],[-6,x^2]]-[[6y,-6],[-3y,y]]	$[\begin{array}{c} 6 y & y^{2} \\ - 2 y & - 2 y \end{array}] \cdot [\begin{array}{c} - y & x y \\ - 6 & x^{2} \end{array}] - [\begin{array}{c} 6 y & - 6 \\ - 3 y & y \end{array}]$
137631	Simplify the Matrix	([[-6,-2]]+[[-8,9]])	$[\begin{array}{c} 9 \\ 5 \\ 7 \end{array}] ([\begin{array}{c} - 6 & - 2 \end{array}] + [\begin{array}{c} - 8 & 9 \end{array}])$
137632	Simplify the Matrix	[[3,x],[2,-1]]=3	$[\begin{array}{c} 3 & x \\ 2 & - 1 \end{array}] = 3$
137633	Simplify the Matrix	[[-4],[-3],[7]]([[-4,6]]+[[9,2]])	$[\begin{array}{c} - 4 \\ - 3 \\ 7 \end{array}] ([\begin{array}{c} - 4 & 6 \end{array}] + [\begin{array}{c} 9 & 2 \end{array}])$
137634	Write as a Single Logarithm	1/2 log base 7 of p+2 log base 7 of 3	$\frac{1}{2} \log_{7} (p) + 2 \log_{7} (3)$
137635	Find the Concavity	f(x)=x^3+3x^2-9x+5	$f (x) = x^{3} + 3 x^{2} - 9 x + 5$
137636	Find the Perpendicular Line	y=3x-2 (-9,5)	$y = 3 x - 2$ $(- 9, 5)$
137637	Find the Inverse of the Resulting Matrix	[[1,-4,3],[1,5,3],[0,-2,4]]^-1[[-11],[16],[-10]]	${[\begin{array}{c} 1 & - 4 & 3 \\ 1 & 5 & 3 \\ 0 & - 2 & 4 \end{array}]}^{- 1} [\begin{array}{c} - 11 \\ 16 \\ - 10 \end{array}]$
137638	Find the Perpendicular Line	y=-1/4(x)+3 ; (-3,5)	$y = - \frac{1}{4} (x) + 3$ ; $(- 3, 5)$
137639	Find the Perpendicular Line	(4,-2) 4x+5y=8	$(4, - 2)$ $4 x + 5 y = 8$
137640	Determine if @POINT is a Solution	1<=25-4x<19	$1 \leq 25 - 4 x < 19$
137641	Determine if @POINT is a Solution	(6,-5),4x-y=193x+4y=-2	$(6, - 5) \cdot 4 x - y = 193 x + 4 y = - 2$
137642	Rationalize the Numerator	square root of 13/5	$\sqrt{\frac{13}{5}}$
137643	Rationalize the Numerator	square root of 2/7	$\sqrt{\frac{2}{7}}$
137644	Rationalize the Numerator	square root of 19/7	$\sqrt{\frac{19}{7}}$
137645	Rationalize the Numerator	square root of 2/3	$\sqrt{\frac{2}{3}}$
137646	Rationalize the Numerator	( square root of b+h- square root of b)/h	$\frac{\sqrt{b + h} - \sqrt{b}}{h}$
137647	Rationalize the Numerator	( square root of 2x)/13	$\frac{\sqrt{2 x}}{13}$
137648	Rationalize the Numerator	(6- square root of 7)/2	$\frac{6 - \sqrt{7}}{2}$
137649	Rationalize the Numerator	cube root of (2a^4)/(3b)	$\sqrt[3]{\frac{2 a^{4}}{3 b}}$
137650	Rationalize the Numerator	( cube root of 6y^2)/( cube root of 7x)	$\frac{\sqrt[3]{6 y^{2}}}{\sqrt[3]{7 x}}$
137651	Rationalize the Numerator	( cube root of 5y^2)/( cube root of 6x)	$\frac{\sqrt[3]{5 y^{2}}}{\sqrt[3]{6 x}}$
137652	Rationalize the Numerator	( cube root of 2y^2)/( cube root of 13x)	$\frac{\sqrt[3]{2 y^{2}}}{\sqrt[3]{13 x}}$
137653	Determine if the Expression is a Perfect Square	9x^2-18x+9	$9 x^{2} - 18 x + 9$
137654	Determine if the Expression is a Perfect Square	9y^6	$9 y^{6}$
137655	Determine if the Expression is a Perfect Square	512	$512$
137656	Determine if the Expression is a Perfect Square	x^2-16x	$x^{2} - 16 x$
137657	Determine if the Expression is a Perfect Square	x^2-22x+121	$x^{2} - 22 x + 121$
137658	Find the Roots/Zeros Using the Rational Roots Test	4x^4-15x^3+9x^2+16x-12	$4 x^{4} - 15 x^{3} + 9 x^{2} + 16 x - 12$
137659	Find the Roots/Zeros Using the Rational Roots Test	3x^3+5x^2+x-1	$3 x^{3} + 5 x^{2} + x - 1$
137660	Find the Roots/Zeros Using the Rational Roots Test	3x^3+9x^2+4x+12	$3 x^{3} + 9 x^{2} + 4 x + 12$
137661	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2+4x+24	$x^{3} + 6 x^{2} + 4 x + 24$
137662	Find the Roots/Zeros Using the Rational Roots Test	5x^4-29x^3+55x^2-28x	$5 x^{4} - 29 x^{3} + 55 x^{2} - 28 x$
137663	Find the Roots/Zeros Using the Rational Roots Test	5x^3-19x^2-20x+76	$5 x^{3} - 19 x^{2} - 20 x + 76$
137664	Find the Roots/Zeros Using the Rational Roots Test	x^3-7x^2-9x+63	$x^{3} - 7 x^{2} - 9 x + 63$
137665	Find the Roots/Zeros Using the Rational Roots Test	x^3-9x^2+26x-24	$x^{3} - 9 x^{2} + 26 x - 24$
137666	Find the Roots/Zeros Using the Rational Roots Test	x^4-2x^3-34x^2-67x-30	$x^{4} - 2 x^{3} - 34 x^{2} - 67 x - 30$
137667	Find the Roots/Zeros Using the Rational Roots Test	x^4+5x^3+2x^2-20x-24	$x^{4} + 5 x^{3} + 2 x^{2} - 20 x - 24$
137668	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2+4x-20	$x^{3} - 5 x^{2} + 4 x - 20$
137669	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-3x+9	$x^{3} - 3 x^{2} - 3 x + 9$
137670	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-22x+24	$x^{3} - 3 x^{2} - 22 x + 24$
137671	Find the Properties	(x^2)/25-(y^2)/144=1	$\frac{x^{2}}{25} - \frac{y^{2}}{144} = 1$
137672	Find the Roots/Zeros Using the Rational Roots Test	x^5-10x^4+42x^3-124x^2+297x-306	$x^{5} - 10 x^{4} + 42 x^{3} - 124 x^{2} + 297 x - 306$
137673	Find the Properties	x^2-y^2-4x-12y-36=0	$x^{2} - y^{2} - 4 x - 12 y - 36 = 0$
137674	Find the Properties	25x^2+9y^2=225	$25 x^{2} + 9 y^{2} = 225$
137675	Determine if the Expression is a Perfect Square	25x^12	$25 x^{12}$
137676	Determine if the Expression is a Perfect Square	16x^2-8x+1	$16 x^{2} - 8 x + 1$
137677	Determine if the Expression is a Perfect Square	16x^9	$16 x^{9}$
137678	Determine if the Expression is a Perfect Square	14x^2-81	$14 x^{2} - 81$
137679	Write as an Equation	m=6 , (4,4)	$m = 6$ , $(4, 4)$
137680	Write as an Equation	m=8 , (6,6)	$m = 8$ , $(6, 6)$
137681	Write as an Equation	f(x)=2(x)^2+5 square root of x+2	$f (x) = 2 {(x)}^{2} + 5 \sqrt{x + 2}$
137682	Write as an Equation	f(x)=2x	$f (x) = 2 x$
137683	Write as an Equation	f(x)=50(1.05)^(12x)	$f (x) = 50 {(1.05)}^{12 x}$
137684	Write as an Equation	f(x)=5x^2	$f (x) = 5 x^{2}$
137685	Write as an Equation	f(x)=-4(x+7)^2-6	$f (x) = - 4 {(x + 7)}^{2} - 6$
137686	Write as an Equation	f(x)=-3(x-3)^2+14	$f (x) = - 3 {(x - 3)}^{2} + 14$
137687	Write as an Equation	f(x)=x^2-2x-24	$f (x) = x^{2} - 2 x - 24$
137688	Write as an Equation	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
137689	Write as an Equation	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
137690	Write as an Equation	table[[x,y],[-1,3],[0,9],[1,27]]	$\begin{array}{c} x & y \\ - 1 & 3 \\ 0 & 9 \\ 1 & 27 \end{array}$
137691	Write as an Equation	(4,5)	$(4, 5)$
137692	Solve by Substitution	x-y+z=-1x+y-2z=7-2x+4y+2z=-4	$x - y + z = - 1 x + y - 2 z = 7 - 2 x + 4 y + 2 z = - 4$
137693	Graph the Interval	(-5,4)	$(- 5, 4)$
137694	Graph the Interval	(-6,5)	$(- 6, 5)$
137695	Graph the Interval	[-4,6] intersect [0,8)	$[- 4, 6] \cap [0, 8)$
137696	Graph the Interval	(-3,0) intersect [-1,2]	$(- 3, 0) \cap [- 1, 2]$
137697	Find Where Increasing/Decreasing Using Derivatives	f(x) = square root of 81-x^2	$f (x) = \sqrt{81 - x^{2}}$
137698	Find the Upper or Third Quartile	129 , 113 , 200 , 100 , 105 , 132 , 100 , 176 , 146 , 152	$129$ , $113$ , $200$ , $100$ , $105$ , $132$ , $100$ , $176$ , $146$ , $152$
137699	Find the Upper or Third Quartile	135 , 149 , 156 , 112 , 134 , 141 , 154 , 116 , 134 , 156	$135$ , $149$ , $156$ , $112$ , $134$ , $141$ , $154$ , $116$ , $134$ , $156$
137700	Find the Upper or Third Quartile	84 , 75 , 90 , 87 , 99 , 91 , 85 , 88 , 76 , 92 , 94	$84$ , $75$ , $90$ , $87$ , $99$ , $91$ , $85$ , $88$ , $76$ , $92$ , $94$