Mathway | Popular Problems

Popular Problems

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