Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191901	Simplify	((y^-2)^-6)/(-x^4y^-4*(-x)y^4)	$\frac{{(y^{- 2})}^{- 6}}{- x^{4} y^{- 4} \cdot (- x) y^{4}}$
191902	Simplify	((x+5)(x^2-25))/((x+5)^2(x-5)^2)	$\frac{(x + 5) (x^{2} - 25)}{{(x + 5)}^{2} {(x - 5)}^{2}}$
191903	Solve the Inequality for x	-2x+6<x-6	$- 2 x + 6 < x - 6$
191904	Simplify	-5(n^3-n^2-1)+n(n^2-n)	$- 5 (n^{3} - n^{2} - 1) + n (n^{2} - n)$
191905	Simplify	(m/(5a))^3	${(\frac{m}{5 a})}^{3}$
191906	Graph	g(x)<0	$g (x) < 0$
191907	Solve the System of Equations	1/5x+1/2y=3 1/3x-2y=-2/3	$\frac{1}{5} x + \frac{1}{2} y = 3$ $\frac{1}{3} x - 2 y = - \frac{2}{3}$
191908	Factor	3rs-5cr-15(cs)+25c^2	$3 r s - 5 c r - 15 c s + 25 c^{2}$
191909	Divide	3/42/3	$\frac{3}{4} \cdot \frac{2}{3}$
191910	Simplify	(2x+3)/(x+4)+8/x	$\frac{2 x + 3}{x + 4} + \frac{8}{x}$
191911	Find the Domain and Range	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
191912	Solve for k	10k^2-10k+2=-k	$10 k^{2} - 10 k + 2 = - k$
191913	Simplify	( square root of 12x^2y)/( square root of 18x^3y^2)	$\frac{\sqrt{12 x^{2} y}}{\sqrt{18 x^{3} y^{2}}}$
191914	Solve for Y	W=2Zx+2ZY+2xY	$W = 2 Z x + 2 Z Y + 2 x Y$
191915	Evaluate	-(1/8)^(1/3)	$- {(\frac{1}{8})}^{\frac{1}{3}}$
191916	Subtract	5/2-3/4	$\frac{5}{2} - \frac{3}{4}$
191917	Convert to Interval Notation	5(x+8)-7<=23	$5 (x + 8) - 7 \leq 23$
191918	Combine Like Terms	(-10x^2-10x+3)-(-4x^2-x)	$(- 10 x^{2} - 10 x + 3) - (- 4 x^{2} - x)$
191919	Solve for w	w/-5+17=-3	$\frac{w}{- 5} + 17 = - 3$
191920	Solve for x	1/x=1/5+3/(2x)	$\frac{1}{x} = \frac{1}{5} + \frac{3}{2 x}$
191921	Simplify	(2+ square root of 3)( square root of 3-7)	$(2 + \sqrt{3}) (\sqrt{3} - 7)$
191922	Evaluate	log base x of 5+ log base x of 12=7	$\log_{x} (5) + \log_{x} (12) = 7$
191923	Simplify	(7i)(2i)^3	$(7 i) {(2 i)}^{3}$
191924	Find the Inverse	f(x)=((x-7)^7)/2	$f (x) = \frac{{(x - 7)}^{7}}{2}$
191925	Solve the System of Equations	x+2y-z=9 -2x+y+z=-1 2x-y+2z=-5	$x + 2 y - z = 9$ $- 2 x + y + z = - 1$ $2 x - y + 2 z = - 5$
191926	Graph	f(x)=4 if x<3; 2x if x>=3	$f (x) = {\begin{cases} 4 & x < 3 \\ 2 x & x \geq 3 \end{cases}$
191927	Find the Excluded Values	(48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)	$\frac{48 x^{5} y^{3}}{y^{4}} \cdot \frac{x^{2} y}{6 x^{3} y^{2}}$
191928	Write in Exponential Form	fourth root of x^4	$\sqrt[4]{x^{4}}$
191929	Solve for b	A=1/2h(b+c) ; solve for b	$A = \frac{1}{2} h (b + c)$ ; solve for $b$
191930	Solve for y	2(4-y)-3(y+3)=-11	$2 (4 - y) - 3 (y + 3) = - 11$
191931	Find the LCD	7/(4y^2-30y+14) , (7y)/(4y^2-22y+10)	$\frac{7}{4 y^{2} - 30 y + 14}$ , $\frac{7 y}{4 y^{2} - 22 y + 10}$
191932	Simplify	2 square root of 5(3 square root of 3+6 square root of 2)	$2 \sqrt{5} (3 \sqrt{3} + 6 \sqrt{2})$
191933	Solve the Inequality for x	4-3(1-x)<=2	$4 - 3 (1 - x) \leq 2$
191934	Solve for x	(2x-4)/3-(x+1)/8=-2	$\frac{2 x - 4}{3} - \frac{x + 1}{8} = - 2$
191935	Find the Exact Value	1/2*4	$\frac{1}{2} \cdot 4$
191936	Solve for x	5+(3x+5)/3=(2x-4)/15	$5 + \frac{3 x + 5}{3} = \frac{2 x - 4}{15}$
191937	Simplify	(3a+7)+(a-1)	$(3 a + 7) + (a - 1)$
191938	Find the Distance Between Two Points	(0,-1) and (8,7)	$(0, - 1)$ and $(8, 7)$
191939	Evaluate	A=1/2bh	$A = \frac{1}{2} b h$
191940	Convert to Polar	y^2=16x	$y^{2} = 16 x$
191941	Solve for x	7/(x+3)+(x+2)/(x-3)=5/(x-3)	$\frac{7}{x + 3} + \frac{x + 2}{x - 3} = \frac{5}{x - 3}$
191942	Multiply	8/187/176/16	$\frac{8}{18} \cdot \frac{7}{17} \cdot \frac{6}{16}$
191943	Graph	f(x)=2 if x>=2; -1 if x<=1	$f (x) = {\begin{cases} 2 & x \geq 2 \\ - 1 & x \leq 1 \end{cases}$
191944	Solve the System of Equations	y=x^2+x-30 y=-x+5	$y = x^{2} + x - 30$ $y = - x + 5$
191945	Solve for z	5z-2-2z<13	$5 z - 2 - 2 z < 13$
191946	Solve for x	-x+1/5+5x=41/5	$- x + \frac{1}{5} + 5 x = \frac{41}{5}$
191947	Simplify	1/( square root of 6)-1/( square root of 3)	$\frac{1}{\sqrt{6}} - \frac{1}{\sqrt{3}}$
191948	Solve for t	20t-9t+5=49	$20 t - 9 t + 5 = 49$
191949	Solve for k	-3(8k+5)=3(9-k)	$- 3 (8 k + 5) = 3 (9 - k)$
191950	Multiply	2*(-1/6)	$2 \cdot (- \frac{1}{6})$
191951	Graph	4>\|x+1\|+2	$4 > \| x + 1 \| + 2$
191952	Find the Exact Value	7+(-7)	$7 + (- 7)$
191953	Solve Using the Quadratic Formula	6x^2+x+1=6x	$6 x^{2} + x + 1 = 6 x$
191954	Solve for x	5/2(-x+2/5)+5x=-(1/2x+4)+3	$\frac{5}{2} (- x + \frac{2}{5}) + 5 x = - (\frac{1}{2} x + 4) + 3$
191955	Solve for b	b^2-6b+5=-4	$b^{2} - 6 b + 5 = - 4$
191956	Simplify	8(4x^2y^-3)^-2	$8 {(4 x^{2} y^{- 3})}^{- 2}$
191957	Solve the Inequality for x	3(1/4)^(x+1)<192	$3 {(\frac{1}{4})}^{x + 1} < 192$
191958	Find the Holes in the Graph	(2x-8)/(-3x-4)	$\frac{2 x - 8}{- 3 x - 4}$
191959	Graph	(x-3)^2(x^2-1)	${(x - 3)}^{2} (x^{2} - 1)$
191960	Identify the Zeros and Their Multiplicities	P(x)=x^5-9x^3	$P (x) = x^{5} - 9 x^{3}$
191961	Simplify	-x^2+7x-10+4x^2-6x+8	$- x^{2} + 7 x - 10 + 4 x^{2} - 6 x + 8$
191962	Find the Quotient	(x^5+32)/(x+2)	$\frac{x^{5} + 32}{x + 2}$
191963	Solve the Inequality for f	7f-9>3f-1	$7 f - 9 > 3 f - 1$
191964	Evaluate	(3x-4y)-(x+2y)	$(3 x - 4 y) - (x + 2 y)$
191965	Solve for x	9x+10-7x=5(x+2)	$9 x + 10 - 7 x = 5 (x + 2)$
191966	Graph	p(x)=-1/2x^3+3/2x-1	$p (x) = - \frac{1}{2} x^{3} + \frac{3}{2} x - 1$
191967	Multiply	(x^3+x^2+1)(x^2-x-5)	$(x^{3} + x^{2} + 1) (x^{2} - x - 5)$
191968	Find f(f(x))	f(x)=x^2-2x+3 , f(x)=-5x+1	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 5 x + 1$
191969	Find the Exact Value	10^3-5 square root of 3^2+4^2-(9-12)(7-12)	$10^{3} - 5 \sqrt{3^{2} + 4^{2}} - (9 - 12) (7 - 12)$
191970	Solve for p	3/2p-5+9/4p=7-5/4p	$\frac{3}{2} p - 5 + \frac{9}{4} p = 7 - \frac{5}{4} p$
191971	Subtract	9/(x^2-8x-9)-2/(x^2-81)	$\frac{9}{x^{2} - 8 x - 9} - \frac{2}{x^{2} - 81}$
191972	Simplify	x^2+9-x-9	$x^{2} + 9 - x - 9$
191973	Solve Using the Quadratic Formula	x^3-3x^2-4x+12=0	$x^{3} - 3 x^{2} - 4 x + 12 = 0$
191974	Solve for x	log of 28 = log of 4+ log of x	$\log (28) = \log (4) + \log (x)$
191975	Simplify	(x+y)*(x-y)	$(x + y) \cdot (x - y)$
191976	Find the Exact Value	sin(660 degrees )	$\sin (660 °)$
191977	Solve for x	2(x-5)+7=x+8	$2 (x - 5) + 7 = x + 8$
191978	Combine Like Terms	2/5y-4+7-9/10y	$\frac{2}{5} y - 4 + 7 - \frac{9}{10} y$
191979	Solve for r	(3,5) , (-3,r) , m=3/4	$(3, 5)$ , $(- 3, r)$ , $m = \frac{3}{4}$
191980	Evaluate	square root of (1+(-5/13))/2	$\sqrt{\frac{1 + (- \frac{5}{13})}{2}}$
191981	Evaluate	(dy)/(dx)	$\frac{d y}{d x}$
191982	Determine if Perpendicular	y=5/4x+1 and y=5/4x-7	$y = \frac{5}{4} x + 1$ and $y = \frac{5}{4} x - 7$
191983	Simplify	(2b^-3d^6)^4*3b^7d	${(2 b^{- 3} d^{6})}^{4} \cdot 3 b^{7} d$
191984	Solve the Inequality for x	x/4<=9/x	$\frac{x}{4} \leq \frac{9}{x}$
191985	Find the Function	f(x) = square root of x-6	$f (x) = \sqrt{x - 6}$
191986	Complete the Square	y=x^2-6x+2	$y = x^{2} - 6 x + 2$
191987	Simplify	((p^-1q^8)/(3p^6q^-2))^3	${(\frac{p^{- 1} q^{8}}{3 p^{6} q^{- 2}})}^{3}$
191988	Multiply	(45y)/(y^2-4)*(y^2+2y)/(18y^2)	$\frac{45 y}{y^{2} - 4} \cdot \frac{y^{2} + 2 y}{18 y^{2}}$
191989	Evaluate	\|5-pi\|	$\| 5 - π \|$
191990	Simplify	square root of 3+ square root of 3+ square root of 3	$\sqrt{3} + \sqrt{3} + \sqrt{3}$
191991	Solve for h	10h+1<5h-6	$10 h + 1 < 5 h - 6$
191992	Write in Standard Form	x^2+3x(x-2)=5	$x^{2} + 3 x (x - 2) = 5$
191993	Describe the Transformation	-f(x+2)	$- f (x + 2)$
191994	Solve for r	C=2pir ; for r	$C = 2 π r$ ; for $r$
191995	Evaluate Using the Given Value	10/m+n if m=-2 and n=-1	$\frac{10}{m} + n$ if $m = - 2$ and $n = - 1$
191996	Simplify/Condense	1/(1-sin(theta))+1/(1+sin(theta))	$\frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$
191997	Solve for x	2-x^2-x=0	$2 - x^{2} - x = 0$
191998	Graph	y<x^2 3x-2y<6	$y < x^{2}$ $3 x - 2 y < 6$
191999	Simplify	(6x^3)/5*2/(3x)	$\frac{6 x^{3}}{5} \cdot \frac{2}{3 x}$
192000	Simplify	14+(-2+3(1+3(-6-2)))	$14 + (- 2 + 3 (1 + 3 (- 6 - 2)))$