Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
601	Simplify	x^(-y^2+2x+2y)	$x^{- y^{2} + 2 x + 2 y}$
602	Simplify	0.1x^3-0.4x^2-1.1x+3	$0.1 x^{3} - 0.4 x^{2} - 1.1 x + 3$
603	Simplify	1-3+9-27+81-243+729	$1 - 3 + 9 - 27 + 81 - 243 + 729$
604	Simplify	5+6(-y-3)	$5 + 6 (- y - 3)$
605	Simplify	(6a^4b)÷54a^10b^11-12a^8b^9+24a^4b	$6 a^{4} b \div 54 a^{10} b^{11} - 12 a^{8} b^{9} + 24 a^{4} b$
606	Simplify	8x^3+5x^3	$8 x^{3} + 5 x^{3}$
607	Simplify	432*1	$4 \cdot 3 \cdot 2 \cdot 1$
608	Simplify	7+3i	$7 + 3 i$
609	Simplify	y^2-4y-32	$y^{2} - 4 y - 32$
610	Simplify	2y^2e^(xy^2)	$2 y^{2} e^{x y^{2}}$
611	Simplify	25x^2-80xy-6y^2	$25 x^{2} - 80 x y - 6 y^{2}$
612	Simplify	-2x- square root of x^2-3	$- 2 x - \sqrt{x^{2} - 3}$
613	Simplify	2-1+1(-1^2-1^2)	$2 - 1 + 1 (- 1^{2} - 1^{2})$
614	Simplify	-3(p+h)^2-7(p+h)+500	$- 3 {(p + h)}^{2} - 7 (p + h) + 500$
615	Simplify	-3x^2+8x^2-10x	$- 3 x^{2} + 8 x^{2} - 10 x$
616	Simplify	4x^3+11x^2+7x-36	$4 x^{3} + 11 x^{2} + 7 x - 36$
617	Solve for z	z=7x+11y	$z = 7 x + 11 y$
618	Simplify	5/(2x^2)+7	$\frac{5}{2 x^{2}} + 7$
619	Simplify	3x^2-6+2x^4+(7+8x^3-5x-6x^4)	$3 x^{2} - 6 + 2 x^{4} + (7 + 8 x^{3} - 5 x - 6 x^{4})$
620	Simplify	(16x^2+7x+12)-(19x^2-6x+13)	$(16 x^{2} + 7 x + 12) - (19 x^{2} - 6 x + 13)$
621	Simplify	((m^-9)/3)^-4	${(\frac{m^{- 9}}{3})}^{- 4}$
622	Solve for y	y=5x-6	$y = 5 x - 6$
623	Simplify	(6x^2-3x^3)(2x^2-8x^3)	$(6 x^{2} - 3 x^{3}) (2 x^{2} - 8 x^{3})$
624	Simplify	(x-2)(x-4i)(x+4i)	$(x - 2) (x - 4 i) (x + 4 i)$
625	Simplify	(2+5i)^2+(3+4i)+i/(cos(30)+isin(30))	${(2 + 5 i)}^{2} + (3 + 4 i) + \frac{i}{\cos (30) + i \sin (30)}$
626	Simplify	(145-150)/(16/( square root of 41))	$\frac{145 - 150}{\frac{16}{\sqrt{41}}}$
627	Simplify	(2y-6)/(5y)*(20y-15)/14	$\frac{2 y - 6}{5 y} \cdot \frac{20 y - 15}{14}$
628	Solve for x	y<1/5x	$y < \frac{1}{5} x$
629	Solve for x	2x+5y<20	$2 x + 5 y < 20$
630	Solve for z	z^2+6z>-8	$z^{2} + 6 z > - 8$
631	Solve for m	m-10>-44	$m - 10 > - 44$
632	Solve for y	y=89.97e^(-0.023*102)	$y = 89.97 e^{- 0.023 \cdot 102}$
633	Solve for x	y<-5x-3	$y < - 5 x - 3$
634	Solve for x	(x^(2-4))/x>0	$\frac{x^{2 - 4}}{x} > 0$
635	Graph the Line Segment	(-9,-6) , (0,8)	$(- 9, - 6)$ , $(0, 8)$
636	Multiply	(y+2)(y-6)(y^2-4y+12)	$(y + 2) (y - 6) (y^{2} - 4 y + 12)$
637	Multiply	-8/9*6	$- \frac{8}{9} \cdot 6$
638	Multiply	(344(1-(1+0.004)^-36))/0.004	$\frac{344 (1 - {(1 + 0.004)}^{- 36})}{0.004}$
639	Multiply	47/40	$\frac{47}{40}$
640	Simplify	(5+i square root of 3)(5-i square root of 3)	$(5 + i \sqrt{3}) (5 - i \sqrt{3})$
641	Simplify	((9 square root of 2)/2)^3	${(\frac{9 \sqrt{2}}{2})}^{3}$
642	Simplify	((3x^2)(4x^3))/(2x^4)	$\frac{(3 x^{2}) (4 x^{3})}{2 x^{4}}$
643	Solve for x	-2x(x+8)(x^2+1)=0	$- 2 x (x + 8) (x^{2} + 1) = 0$
644	Solve for t	-113000=-6500t	$- 113000 = - 6500 t$
645	Solve for x	y>x-2	$y > x - 2$
646	Solve for x	4x-8<0	$4 x - 8 < 0$
647	Solve for x	2x+3>5x-9	$2 x + 3 > 5 x - 9$
648	Solve for x	3x-5>5x-11	$3 x - 5 > 5 x - 11$
649	Solve for x	49x^2=256	$49 x^{2} = 256$
650	Solve for x	(2/3)^(3x-1)>1	${(\frac{2}{3})}^{3 x - 1} > 1$
651	Solve for x	(x-5)/(x-1)=0	$\frac{x - 5}{x - 1} = 0$
652	Simplify	sin(x)+7sin(x)-3sin(x)+1+cos(x)	$\sin (x) + 7 \sin (x) - 3 \sin (x) + 1 + \cos (x)$
653	Solve for n	2.4=-1.6n	$2.4 = - 1.6 n$
654	Solve for x	2x^2+4x+2=10	$2 x^{2} + 4 x + 2 = 10$
655	Simplify	log of 100	$\log (100)$
656	Simplify	s	$s$
657	Solve for a	ab = square root of (-4-1)^2+(-4+2)*2	$a b = \sqrt{{(- 4 - 1)}^{2} + (- 4 + 2) \cdot 2}$
658	Simplify	f(7x+5)(5x+7)dx	$f (7 x + 5) (5 x + 7) d x$
659	Simplify	24x^2-18xy	$24 x^{2} - 18 x y$
660	Simplify	f(x)x-8/8*5^5	$f (x) x - \frac{8}{8} \cdot 5^{5}$
661	Simplify	ax-bx+cx+ay-by-cy	$a x - b x + c x + a y - b y - c y$
662	Solve for m	m/5-3<3/5-m/2	$\frac{m}{5} - 3 < \frac{3}{5} - \frac{m}{2}$
663	Solve for x	( square root of 1-x)/(x+2)=0	$\frac{\sqrt{1 - x}}{x + 2} = 0$
664	Solve for x	17/(3x)+4/7=5/(3x)	$\frac{17}{3 x} + \frac{4}{7} = \frac{5}{3 x}$
665	Write as y=mx+b	f(x)=-4x+8	$f (x) = - 4 x + 8$
666	Solve the System of @WORD	8x+2y=420 , 2x+y=120	$8 x + 2 y = 420$ , $2 x + y = 120$
667	Solve the System of @WORD	32x+12y=480 , 35x+35y=875 , 6x+12y=240 , x=0 , y=0	$32 x + 12 y = 480$ , $35 x + 35 y = 875$ , $6 x + 12 y = 240$ , $x = 0$ , $y = 0$
668	Solve the System of @WORD	x<-3 , y>4 , x+y>3	$x < - 3$ , $y > 4$ , $x + y > 3$
669	Solve the System of @WORD	2x+y=12 , x+y=8 , x+2y=14	$2 x + y = 12$ , $x + y = 8$ , $x + 2 y = 14$
670	Determine if True	f(3)=7	$f (3) = 7$
671	Solve the System of @WORD	x+y=1 , x-y=2	$x + y = 1$ , $x - y = 2$
672	Solve the System of @WORD	2x-5y=10 , x+y=2	$2 x - 5 y = 10$ , $x + y = 2$
673	Determine if True	2+2=5	$2 + 2 = 5$
674	Write as y=mx+b	f(x)=-5x+3	$f (x) = - 5 x + 3$
675	Determine if Odd, Even, or Neither	f(x) = natural log of x	$f (x) = \ln (x)$
676	Find Pivot Positions and Pivot Columns	[[12,3,1,0,0,15],[1,4,0,1,0,12],[-8,-32,0,0,1,0]]	$[\begin{array}{c} 12 & 3 & 1 & 0 & 0 & 15 \\ 1 & 4 & 0 & 1 & 0 & 12 \\ - 8 & - 32 & 0 & 0 & 1 & 0 \end{array}]$
677	Find Pivot Positions and Pivot Columns	[[2,1,1,0],[4,3,0,1]]	$[\begin{array}{c} 2 & 1 & 1 & 0 \\ 4 & 3 & 0 & 1 \end{array}]$
678	Find the Remainder	(x^2-5x+15)/(x-3)	$\frac{x^{2} - 5 x + 15}{x - 3}$
679	Write as an Equation	f(x)=2x^2-3^x	$f (x) = 2 x^{2} - 3^{x}$
680	Write as an Equation	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
681	Solve Using the Square Root Property	25v^2=1	$25 v^{2} = 1$
682	Find the Relative Frequency of the Frequency Table	table[[Class,Frequency],[10-14,1],[15-19,3],[20-24,9],[25-29,2]]	$\begin{array}{c} Class & Frequency \\ 10 - 14 & 1 \\ 15 - 19 & 3 \\ 20 - 24 & 9 \\ 25 - 29 & 2 \end{array}$
683	Determine if Surjective (Onto)	(2,8) , (4,12)	$(2, 8)$ , $(4, 12)$
684	Create a Grouped Frequency Distribution Table	3 , 8 , 11 , 15 , 18 , 21 , 2 , 33 , 34 , 36 , 82	$3$ , $8$ , $11$ , $15$ , $18$ , $21$ , $2$ , $33$ , $34$ , $36$ , $82$
685	Find the Data Range	-5 , 2	$- 5$ , $2$
686	Find Pivot Positions and Pivot Columns	[[0,1,5/7,-1/7,0,16/7],[1,0,-3/7,2/7,0,30/7],[0,0,13/7,3/7,1,220/7]]	$[\begin{array}{c} 0 & 1 & \frac{5}{7} & - \frac{1}{7} & 0 & \frac{16}{7} \\ 1 & 0 & - \frac{3}{7} & \frac{2}{7} & 0 & \frac{30}{7} \\ 0 & 0 & \frac{13}{7} & \frac{3}{7} & 1 & \frac{220}{7} \end{array}]$
687	Determine if Proper or Improper	f(x)=x+4f(2) evaluate	$f (x) = x + 4 f (2)$ evaluate
688	Find Pivot Positions and Pivot Columns	[[1,-1,-3],[0,0,0]]	$[\begin{array}{c} 1 & - 1 & - 3 \\ 0 & 0 & 0 \end{array}]$
689	Find Pivot Positions and Pivot Columns	[[1,2,3,1,0,0,8],[4,10,1,0,1,0,10],[-4,40,1,0,0,1,0]]	$[\begin{array}{c} 1 & 2 & 3 & 1 & 0 & 0 & 8 \\ 4 & 10 & 1 & 0 & 1 & 0 & 10 \\ - 4 & 40 & 1 & 0 & 0 & 1 & 0 \end{array}]$
690	Find Pivot Positions and Pivot Columns	[[1,2,5],[0,0,0]]	$[\begin{array}{c} 1 & 2 & 5 \\ 0 & 0 & 0 \end{array}]$
691	Find Pivot Positions and Pivot Columns	[[2,1,4,1,0,0,32],[2,4,1,0,1,0,48],[-4,-3,-2,0,0,1,0]]	$[\begin{array}{c} 2 & 1 & 4 & 1 & 0 & 0 & 32 \\ 2 & 4 & 1 & 0 & 1 & 0 & 48 \\ - 4 & - 3 & - 2 & 0 & 0 & 1 & 0 \end{array}]$
692	Find Pivot Positions and Pivot Columns	[[1,2],[2,1]]	$[\begin{array}{c} 1 & 2 \\ 2 & 1 \end{array}]$
693	Find Pivot Positions and Pivot Columns	[[1,3,2,-10],[0,1,2,-3]]	$[\begin{array}{c} 1 & 3 & 2 & - 10 \\ 0 & 1 & 2 & - 3 \end{array}]$
694	Find Pivot Positions and Pivot Columns	[[6,7,50],[3,8,51]]	$[\begin{array}{c} 6 & 7 & 50 \\ 3 & 8 & 51 \end{array}]$
695	Find the Remainder	(4x^3-4x^2+1)/(x-2)	$\frac{4 x^{3} - 4 x^{2} + 1}{x - 2}$
696	Find the Equation Using Two Points	f(1)=2 , f(0)=-1	$f (1) = 2$ , $f (0) = - 1$
697	Determine if Injective (One to One)	f(x)=2x	$f (x) = 2 x$
698	Find the Constant of Variation	x=y^2	$x = y^{2}$
699	Convert from Interval to Inequality	(-4,8)	$(- 4, 8)$
700	Find the Probability of the Binomial Event	n=14 , x=5 , p=0.20	$n = 14$ , $x = 5$ , $p = 0.2$