Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
134801	Find the LCD	(x+6)/(6x^2+13x+5)-x/(2x^2-7x-4)+(7x+6)/(3x^2-7x-20)	$\frac{x + 6}{6 x^{2} + 13 x + 5} - \frac{x}{2 x^{2} - 7 x - 4} + \frac{7 x + 6}{3 x^{2} - 7 x - 20}$
134802	Find the Fourth Derivative	(x-3)^7	${(x - 3)}^{7}$
134803	Find the Trig Value	cos(pi/4)	$\cos (\frac{π}{4})$
134804	Find the Variables	[[-1,3],[4,-2]][[x],[y]]=[[2],[22]]	$[\begin{array}{c} - 1 & 3 \\ 4 & - 2 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 2 \\ 22 \end{array}]$
134805	Find the Variables	[[x],[y]]=[[-2,5],[1,-2]][[-1],[2]]	$[\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} - 2 & 5 \\ 1 & - 2 \end{array}] [\begin{array}{c} - 1 \\ 2 \end{array}]$
134806	Find the Variables	[[x,y],[x+y,x-y]]=[[4,-5],[-1,9]]	$[\begin{array}{c} x & y \\ x + y & x - y \end{array}] = [\begin{array}{c} 4 & - 5 \\ - 1 & 9 \end{array}]$
134807	Find the Variables	[[-20,16],[4,0],[9,-6]]-[[-5,1],[-6,7],[0,11]]=[[x,y],[10,-7],[9,-17]]	$[\begin{array}{c} - 20 & 16 \\ 4 & 0 \\ 9 & - 6 \end{array}] - [\begin{array}{c} - 5 & 1 \\ - 6 & 7 \\ 0 & 11 \end{array}] = [\begin{array}{c} x & y \\ 10 & - 7 \\ 9 & - 17 \end{array}]$
134808	Find the Trig Value	sin(x)=1/4	$\sin (x) = \frac{1}{4}$
134809	Find the Trig Value	sin(2x)=-1/2	$\sin (2 x) = - \frac{1}{2}$
134810	Find the Trig Value	sin((7pi)/6)	$\sin (\frac{7 π}{6})$
134811	Solve the Matrix Equation	[[-1,1],[5,-2]]c=[[4],[-26]]	$[\begin{array}{c} - 1 & 1 \\ 5 & - 2 \end{array}] c = [\begin{array}{c} 4 \\ - 26 \end{array}]$
134812	Solve the Matrix Equation	[[-1,2],[-6,10]]z=[[6],[22]]	$[\begin{array}{c} - 1 & 2 \\ - 6 & 10 \end{array}] z = [\begin{array}{c} 6 \\ 22 \end{array}]$
134813	Find the Function Rule	table[[x,y],[-3,2],[0,5],[3,-10]]	$\begin{array}{c} x & y \\ - 3 & 2 \\ 0 & 5 \\ 3 & - 10 \end{array}$
134814	Find the Function Rule	table[[x,y],[1,-10],[2,-20],[3,-40]]	$\begin{array}{c} x & y \\ 1 & - 10 \\ 2 & - 20 \\ 3 & - 40 \end{array}$
134815	Find the Function Rule	table[[x,y],[-1,1],[0,3],[1,9],[2,27],[3,81]]	$\begin{array}{c} x & y \\ - 1 & 1 \\ 0 & 3 \\ 1 & 9 \\ 2 & 27 \\ 3 & 81 \end{array}$
134816	Find the Function Rule	table[[x,y],[0,4],[1,12],[2,36]]	$\begin{array}{c} x & y \\ 0 & 4 \\ 1 & 12 \\ 2 & 36 \end{array}$
134817	Find the Function Rule	table[[x,y],[0,4],[1,2],[2,1]]	$\begin{array}{c} x & y \\ 0 & 4 \\ 1 & 2 \\ 2 & 1 \end{array}$
134818	Solve the Matrix Equation	[[x,y],[x+y,x-y]]=[[4,-5],[-1,9]]	$[\begin{array}{c} x & y \\ x + y & x - y \end{array}] = [\begin{array}{c} 4 & - 5 \\ - 1 & 9 \end{array}]$
134819	Solve the Matrix Equation	-4[[-1,3],[5,-2],[6,5]]-2[[-9,0],[-2,0],[5,-4]]=-5x	$- 4 [\begin{array}{c} - 1 & 3 \\ 5 & - 2 \\ 6 & 5 \end{array}] - 2 [\begin{array}{c} - 9 & 0 \\ - 2 & 0 \\ 5 & - 4 \end{array}] = - 5 x$
134820	Solve the Matrix Equation	-2x-5[[2,-8],[-4,2]]=[[4,-6],[2,-8]]	$- 2 x - 5 [\begin{array}{c} 2 & - 8 \\ - 4 & 2 \end{array}] = [\begin{array}{c} 4 & - 6 \\ 2 & - 8 \end{array}]$
134821	Solve the Matrix Equation	[[x+9,-2,-9y],[8,-2x,-7],[1,y-5,6]]=[[10x+0,-2,-36],[8,-2,-7],[1,-1,6]]	$[\begin{array}{c} x + 9 & - 2 & - 9 y \\ 8 & - 2 x & - 7 \\ 1 & y - 5 & 6 \end{array}] = [\begin{array}{c} 10 x + 0 & - 2 & - 36 \\ 8 & - 2 & - 7 \\ 1 & - 1 & 6 \end{array}]$
134822	Find Reduced Row Echelon Form	[[1,2,3,4,5],[6,7,8,9,10],[11,12,13,14,15],[16,17,18,19,20],[21,22,23,24,25]]	$[\begin{array}{c} 1 & 2 & 3 & 4 & 5 \\ 6 & 7 & 8 & 9 & 10 \\ 11 & 12 & 13 & 14 & 15 \\ 16 & 17 & 18 & 19 & 20 \\ 21 & 22 & 23 & 24 & 25 \end{array}]$
134823	Find Reduced Row Echelon Form	[[7,23,6,13],[3,10,4,-1],[1,3,-2,4]]	$[\begin{array}{c} 7 & 23 & 6 & 13 \\ 3 & 10 & 4 & - 1 \\ 1 & 3 & - 2 & 4 \end{array}]$
134824	Find Reduced Row Echelon Form	[[3,-5,-16,-26],[1,-2,-6,-11]]	$[\begin{array}{c} 3 & - 5 & - 16 & - 26 \\ 1 & - 2 & - 6 & - 11 \end{array}]$
134825	Find the 6th Term	3 , 15 , 75 , 375 , 1875	$3$ , $15$ , $75$ , $375$ , $1875$
134826	Find the 5th Term	2 , 12 , 72 , 432	$2$ , $12$ , $72$ , $432$
134827	Find the 5th Term	120 , 36 , 10.8 , 0.2916	$120$ , $36$ , $10.8$ , $0.2916$
134828	Find the 5th Term	2 , -8 , 32 , -128	$2$ , $- 8$ , $32$ , $- 128$
134829	Find the 7th Term	3 , 15 , 75 , 375 , 1875 , 9375	$3$ , $15$ , $75$ , $375$ , $1875$ , $9375$
134830	Find the 7th Term	4 , 6 , 9 , 13.5 , 20.25	$4$ , $6$ , $9$ , $13.5$ , $20.25$
134831	Find the 7th Term	5 , 15 , 45 , 135 , 405 , 1215	$5$ , $15$ , $45$ , $135$ , $405$ , $1215$
134832	Find the 9th Term	4 , 8 , 16 , 32 , 64 , 128 , 256 , 512	$4$ , $8$ , $16$ , $32$ , $64$ , $128$ , $256$ , $512$
134833	Find the 8th Term	24 , -6 , 3/2 , -3/8 , 3/32 , -3/128	$24$ , $- 6$ , $\frac{3}{2}$ , $- \frac{3}{8}$ , $\frac{3}{32}$ , $- \frac{3}{128}$
134834	Find the 6th Term	4 , 16 , 64 , 256 , 1024	$4$ , $16$ , $64$ , $256$ , $1024$
134835	Find the 6th Term	6 , 18 , 54 , 162	$6$ , $18$ , $54$ , $162$
134836	Find the 7th Term	1/81 , 1/27 , 1/9 , 1/3 , 1	$\frac{1}{81}$ , $\frac{1}{27}$ , $\frac{1}{9}$ , $\frac{1}{3}$ , $1$
134837	Find the Fourth Term	a(1)=-2a(n)=a(n-1)-5	$a (1) = - 2 a (n) = a (n - 1) - 5$
134838	Find the Fourth Term	10 , 4 , -2	$10$ , $4$ , $- 2$
134839	Find the Fourth Term	44 , 35 , 26	$44$ , $35$ , $26$
134840	Find the Fourth Term	64 , 16 , 4	$64$ , $16$ , $4$
134841	Find the Third Term	a(1)=20a(n)=a(n-1)-17	$a (1) = 20 a (n) = a (n - 1) - 17$
134842	Find the Third Term	a_n=3n+3	$a_{n} = 3 n + 3$
134843	Find the Degree	f(x)=(x+2)(x-4)^5	$f (x) = (x + 2) {(x - 4)}^{5}$
134844	Find the Degree	f(x)=4x^3+33x^2+72x+16	$f (x) = 4 x^{3} + 33 x^{2} + 72 x + 16$
134845	Determine if a Polynomial	(2h-3k)(h+5k)	$(2 h - 3 k) (h + 5 k)$
134846	Determine if a Polynomial	square root of x	$\sqrt{x}$
134847	Determine if a Polynomial	G(x)=2(x-1)^2(x^2+4)	$G (x) = 2 {(x - 1)}^{2} (x^{2} + 4)$
134848	Determine if a Polynomial	h(x)=-5 square root of 5-7x+2x^3+1/9x^2	$h (x) = - 5 \sqrt{5} - 7 x + 2 x^{3} + \frac{1}{9} x^{2}$
134849	Determine if a Polynomial	f(x)=-2x^3(x-1)(x+5)	$f (x) = - 2 x^{3} (x - 1) (x + 5)$
134850	Determine if a Polynomial	-9xy^2+6x^2y-5x^3	$- 9 x y^{2} + 6 x^{2} y - 5 x^{3}$
134851	Determine if a Polynomial	7x^2y	$7 x^{2} y$
134852	Determine if a Polynomial	7x+3x+5	$7 x + 3 x + 5$
134853	Determine if a Polynomial	x^3-8	$x^{3} - 8$
134854	Determine if a Polynomial	x^2y^7z	$x^{2} y^{7} z$
134855	Find the Perpendicular Line	y=-x-6 (-9,-4)	$y = - x - 6$ $(- 9, - 4)$
134856	Simplify the Matrix	[[7],[4]]	$[\begin{array}{c} 7 \\ 4 \end{array}]$
134857	Simplify the Matrix	[[z-5],[-6],[-1-6z],[3y]]+[[-3y],[3z],[5+z],[4z]]	$[\begin{array}{c} z - 5 \\ - 6 \\ - 1 - 6 z \\ 3 y \end{array}] + [\begin{array}{c} - 3 y \\ 3 z \\ 5 + z \\ 4 z \end{array}]$
134858	Simplify the Matrix	[[1,-4,3],[1,5,3],[0,-2,4]]^-1[[-11],[16],[-10]]	${[\begin{array}{c} 1 & - 4 & 3 \\ 1 & 5 & 3 \\ 0 & - 2 & 4 \end{array}]}^{- 1} [\begin{array}{c} - 11 \\ 16 \\ - 10 \end{array}]$
134859	Evaluate the Integral	integral of (x^2+4x+1/(x^3)) with respect to x	$\int (x^{2} + 4 x + \frac{1}{x^{3}}) d x$
134860	Solve Using a Matrix by Elimination	3x+5y=6 , -4x+2y=5	$3 x + 5 y = 6$ , $- 4 x + 2 y = 5$
134861	Solve Using a Matrix by Elimination	2x-5y=-2 , -1/4x+2y=7	$2 x - 5 y = - 2$ , $- \frac{1}{4} x + 2 y = 7$
134862	Solve Using a Matrix by Elimination	3x+y-z=38x+8y-7z=8	$3 x + y - z = 38 x + 8 y - 7 z = 8$
134863	Solve Using a Matrix by Elimination	-10x-3y=-274x+y=11	$- 10 x - 3 y = - 274 x + y = 11$
134864	Solve Using a Matrix by Elimination	-15x-3y=-426x+y=17	$- 15 x - 3 y = - 426 x + y = 17$
134865	Solve Using a Matrix by Elimination	2x+y+2z=1-4x-y-z=32x+2y+5z=6	$2 x + y + 2 z = 1 - 4 x - y - z = 32 x + 2 y + 5 z = 6$
134866	Solve Using a Matrix by Elimination	7x+y-z=72x+2y-1z=2	$7 x + y - z = 72 x + 2 y - 1 z = 2$
134867	Solve Using a Matrix by Elimination	x+2y-z=95x-4y+2z=3-x+12y+z=-2	$x + 2 y - z = 95 x - 4 y + 2 z = 3 - x + 12 y + z = - 2$
134868	Solve Using a Matrix by Elimination	5x+y-z=58x+8y-7z=8	$5 x + y - z = 58 x + 8 y - 7 z = 8$
134869	Solve Using a Matrix by Elimination	4x+5y=48x+10y=8	$4 x + 5 y = 48 x + 10 y = 8$
134870	Solve Using a Matrix by Elimination	-5x+3y=82x-4y=-20	$- 5 x + 3 y = 82 x - 4 y = - 20$
134871	Solve Using a Matrix by Elimination	x=-7-y-zx-y+3z=-214x+y=-19-z	$x = - 7 - y - z x - y + 3 z = - 214 x + y = - 19 - z$
134872	Solve Using a Matrix by Elimination	x-2y+4z=-14 , 3x+y-z=-6 , 2x+3y-6z=7	$x - 2 y + 4 z = - 14$ , $3 x + y - z = - 6$ , $2 x + 3 y - 6 z = 7$
134873	Solve Using a Matrix by Elimination	x-3y-z=6-x+8y-4z=-162x-15y+7z=30	$x - 3 y - z = 6 - x + 8 y - 4 z = - 162 x - 15 y + 7 z = 30$
134874	Solve Using a Matrix by Elimination	-x+y+z=-2-x+4y-8z=-206x-4y-12z=0	$- x + y + z = - 2 - x + 4 y - 8 z = - 206 x - 4 y - 12 z = 0$
134875	Find the Parabola Through (0,-14) with Vertex (-3,5)	(-3,5) , (0,-14)	$(- 3, 5) (0, - 14)$
134876	Determine if the Expression is a Perfect Square	16x^2-24x+9	$16 x^{2} - 24 x + 9$
134877	Determine if the Expression is a Perfect Square	16x^2-64x+64	$16 x^{2} - 64 x + 64$
134878	Determine if the Expression is a Perfect Square	343	$343$
134879	Find the Roots/Zeros Using the Rational Roots Test	x^5-9x^4+13x^3+57x^2-86x-120	$x^{5} - 9 x^{4} + 13 x^{3} + 57 x^{2} - 86 x - 120$
134880	Find the Roots/Zeros Using the Rational Roots Test	x^4-7x^3+8x^2+28x-48	$x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
134881	Find the Properties	((x+5)^2)/144+((y+1)^2)/225=1	$\frac{{(x + 5)}^{2}}{144} + \frac{{(y + 1)}^{2}}{225} = 1$
134882	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2-13x-7	$x^{3} - 5 x^{2} - 13 x - 7$
134883	Find the Roots/Zeros Using the Rational Roots Test	4x^5-11x^3+3x^2+7x-3	$4 x^{5} - 11 x^{3} + 3 x^{2} + 7 x - 3$
134884	Find the Roots/Zeros Using the Rational Roots Test	7x^4-6x^3+62x^2-54x-9	$7 x^{4} - 6 x^{3} + 62 x^{2} - 54 x - 9$
134885	Determine if the Expression is a Perfect Square	x^2+bx+16	$x^{2} + b x + 16$
134886	Determine if the Expression is a Perfect Square	x^2-2x+1	$x^{2} - 2 x + 1$
134887	Determine if the Expression is a Perfect Square	t^2-14/3t+n	$t^{2} - \frac{14}{3} t + n$
134888	Determine if the Expression is a Perfect Square	4x^2+32x+8	$4 x^{2} + 32 x + 8$
134889	Determine if the Expression is a Perfect Square	64a^2	$64 a^{2}$
134890	Rationalize the Numerator	square root of 7/5	$\sqrt{\frac{7}{5}}$
134891	Rationalize the Numerator	square root of 3/5	$\sqrt{\frac{3}{5}}$
134892	Rationalize the Numerator	square root of 3/7	$\sqrt{\frac{3}{7}}$
134893	Rationalize the Numerator	square root of 5/2	$\sqrt{\frac{5}{2}}$
134894	Rationalize the Numerator	square root of 12/2	$\sqrt{\frac{12}{2}}$
134895	Rationalize the Numerator	( square root of 4x)/7	$\frac{\sqrt{4 x}}{7}$
134896	Find the Equation Using Slope-Intercept Form	m=-1/10 , (-8,0)	$m = - \frac{1}{10}$ , $(- 8, 0)$
134897	Find the Equation Using Slope-Intercept Form	m=-2/5 , b=3/4	$m = - \frac{2}{5}$ , $b = \frac{3}{4}$
134898	Find the Equation Using Slope-Intercept Form	m=2/3 , b=3	$m = \frac{2}{3}$ , $b = 3$
134899	Find the Equation Using Slope-Intercept Form	m=-1 , b=-1/4	$m = - 1$ , $b = - \frac{1}{4}$
134900	Find the Equation Using Slope-Intercept Form	m=2 , (3,3)	$m = 2$ , $(3, 3)$