Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
163501	Simplify	(125xy^7)/(125x^6y^7)	$\frac{125 x y^{7}}{125 x^{6} y^{7}}$
163502	Simplify	((8x+48)/(x^2-3x-54))÷((x-3)/(x^2-6x-27))	$\frac{8 x + 48}{x^{2} - 3 x - 54} \div \frac{x - 3}{x^{2} - 6 x - 27}$
163503	Simplify	(x^2-36)/(7x^2-42x)	$\frac{x^{2} - 36}{7 x^{2} - 42 x}$
163504	Simplify	(4xy^2)^-3	${(4 x y^{2})}^{- 3}$
163505	Solve for A	3q^3=-8+D/A	$3 q^{3} = - 8 + \frac{D}{A}$
163506	Solve for x	7-x+3=9x+10	$7 - x + 3 = 9 x + 10$
163507	Simplify	6/(6+ square root of 12x)	$\frac{6}{6 + \sqrt{12 x}}$
163508	Graph	(negative infinity,1]	$(- \infty, 1]$
163509	Simplify	(x^2-64)/(7x)*(3x^3)/(x^2+x-72)	$\frac{x^{2} - 64}{7 x} \cdot \frac{3 x^{3}}{x^{2} + x - 72}$
163510	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2+5x-3=0	$2 x^{2} + 5 x - 3 = 0$
163511	Solve for x	2/3(9x-15)=2(3x-5)	$\frac{2}{3} (9 x - 15) = 2 (3 x - 5)$
163512	Write in Exponential Form	natural log of x^2-x+17=3/4	$\ln (x^{2} - x + 17) = \frac{3}{4}$
163513	Find the Function	f(x)=x^2+2x-3	$f (x) = x^{2} + 2 x - 3$
163514	Evaluate	3x+3(x+y)	$3 x + 3 (x + y)$
163515	Solve for x	x-x/(x+3)=3/(x+3)	$x - \frac{x}{x + 3} = \frac{3}{x + 3}$
163516	Find the x and y Intercepts	f(x)=(5x^2-25x)/(-4x^2)	$f (x) = \frac{5 x^{2} - 25 x}{- 4 x^{2}}$
163517	Simplify	(xy^3)(xy)^4	$(x y^{3}) {(x y)}^{4}$
163518	Solve the Inequality for x	x^4>1	$x^{4} > 1$
163519	Simplify the Radical Expression	square root of 100	$\sqrt{100}$
163520	Solve for x	2(x-7)^2=2	$2 {(x - 7)}^{2} = 2$
163521	Solve the Inequality for x	-2x+3y>=3	$- 2 x + 3 y \geq 3$
163522	Evaluate	-8+(15-3)÷4	$- 8 + (15 - 3) \div 4$
163523	Solve for c	8-(4c-5)=11	$8 - (4 c - 5) = 11$
163524	Solve by Completing the Square	x^2=-8x-7	$x^{2} = - 8 x - 7$
163525	Simplify	(xy^3z^4)^4	${(x y^{3} z^{4})}^{4}$
163526	Write in Standard Form	-(x^3)/4+10x^5-5	$- \frac{x^{3}}{4} + 10 x^{5} - 5$
163527	Solve the System of Equations	-4x+y=6 -5x-y=21	$- 4 x + y = 6$ $- 5 x - y = 21$
163528	Simplify	((x^2+5x-36)/(x+5))÷((x^2-16)/(x+4))	$\frac{x^{2} + 5 x - 36}{x + 5} \div \frac{x^{2} - 16}{x + 4}$
163529	Simplify	(3+i)/(2-i)	$\frac{3 + i}{2 - i}$
163530	Solve the Inequality for m	5m+1<=4	$5 m + 1 \leq 4$
163531	Solve the Inequality for x	3(x-2)>-3	$3 (x - 2) > - 3$
163532	Simplify	x^2(3x^3y^2)	$x^{2} (3 x^{3} y^{2})$
163533	Solve the Inequality for x	-x/4<=2	$- \frac{x}{4} \leq 2$
163534	Find the Exact Value	(1/4)^2	${(\frac{1}{4})}^{2}$
163535	Write in Standard Form	8/3y=5/6x-2	$\frac{8}{3} y = \frac{5}{6} x - 2$
163536	Solve for x	2/(x+2)+1/(x-2)=3/x	$\frac{2}{x + 2} + \frac{1}{x - 2} = \frac{3}{x}$
163537	Simplify	(9c^2+c^6)(9c^2-c^6)	$(9 c^{2} + c^{6}) (9 c^{2} - c^{6})$
163538	Divide	(15m^4n^3-35mn^2)/(5mn)	$\frac{15 m^{4} n^{3} - 35 m n^{2}}{5 m n}$
163539	Evaluate	2 log base 3 of 1/52	$2 \log_{3} (\frac{1}{52})$
163540	Solve for m	2/7m-1/7=3/14	$\frac{2}{7} m - \frac{1}{7} = \frac{3}{14}$
163541	Simplify	((x-9)/(x^3))÷((x^2-81)/(x^2+8x-9))	$\frac{x - 9}{x^{3}} \div \frac{x^{2} - 81}{x^{2} + 8 x - 9}$
163542	Find the Domain and Range	f(x)=x/2	$f (x) = \frac{x}{2}$
163543	Solve for w	8(2w-1)-4w=-116	$8 (2 w - 1) - 4 w = - 116$
163544	Solve for y	xy+7=n	$x y + 7 = n$
163545	Solve for y	4y+-9=-36	$4 y + - 9 = - 36$
163546	Find the Equation Using Point-Slope Formula	m=5 and (6,-1)	$m = 5$ and $(6, - 1)$
163547	Solve for x	2(x+10)^2-37=13	$2 {(x + 10)}^{2} - 37 = 13$
163548	Find the Product	(x-3)(6x-2)	$(x - 3) (6 x - 2)$
163549	Find the Function	f(x)=x^3+2	$f (x) = x^{3} + 2$
163550	Simplify	9r(r+2s-9)	$9 r (r + 2 s - 9)$
163551	Simplify	x^2y^5(-7x^5y^2)	$x^{2} y^{5} (- 7 x^{5} y^{2})$
163552	Solve the Inequality for k	2k-4>-6k-7	$2 k - 4 > - 6 k - 7$
163553	Solve for x	x^2+x-9=x	$x^{2} + x - 9 = x$
163554	Simplify	(x^2-81)/(4x^3-36x^2)	$\frac{x^{2} - 81}{4 x^{3} - 36 x^{2}}$
163555	Divide	(3x)/3	$\frac{3 x}{3}$
163556	Simplify	(5 square root of 12)/( square root of 8)	$\frac{5 \sqrt{12}}{\sqrt{8}}$
163557	Simplify	(x^2-3x-54)/(x^2-9x)*(2x)/(x^2+8x+12)	$\frac{x^{2} - 3 x - 54}{x^{2} - 9 x} \cdot \frac{2 x}{x^{2} + 8 x + 12}$
163558	Simplify	11y^2+12y-6y^2-8y+5y^0	$11 y^{2} + 12 y - 6 y^{2} - 8 y + 5 y^{0}$
163559	Find the x and y Intercepts	f(x)=(-4x+12)/(2x^2-x-15)	$f (x) = \frac{- 4 x + 12}{2 x^{2} - x - 15}$
163560	Evaluate	f^-1(-2)	$f^{- 1} (- 2)$
163561	Find the GCF	A	$A$
163562	Find the x and y Intercepts	f(x)=(-x^2+5x)/(2x^2)	$f (x) = \frac{- x^{2} + 5 x}{2 x^{2}}$
163563	Solve the Inequality for x	(x-3)(x+5)<=0	$(x - 3) (x + 5) \leq 0$
163564	Write in Standard Form	-10x^4-x^3+x^5-1/8	$- 10 x^{4} - x^{3} + x^{5} - \frac{1}{8}$
163565	Find the x and y Intercepts	x+y	$x + y$
163566	Simplify	(x^2-36)/(2x^3-12x^2)	$\frac{x^{2} - 36}{2 x^{3} - 12 x^{2}}$
163567	Graph	y=-1/(x^2)	$y = - \frac{1}{x^{2}}$
163568	Solve for x	(x-9)^2+26=31	${(x - 9)}^{2} + 26 = 31$
163569	Divide	(a^2-6a+4)/(2a)	$\frac{a^{2} - 6 a + 4}{2 a}$
163570	Find the Exact Value	sin(345 degrees )	$\sin (345 °)$
163571	Solve the System of Equations	y=-3x+4 y=3x-2	$y = - 3 x + 4$ $y = 3 x - 2$
163572	Evaluate	cos(x)=1/2	$\cos (x) = \frac{1}{2}$
163573	Simplify	( square root of 8)/( square root of 3)	$\frac{\sqrt{8}}{\sqrt{3}}$
163574	Solve the Inequality for x	(x-1)(x+2)(2x-7)^2<=0	$(x - 1) (x + 2) {(2 x - 7)}^{2} \leq 0$
163575	Find the Exact Value	(2/3)^-2	${(\frac{2}{3})}^{- 2}$
163576	Simplify	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
163577	Divide	(-x)÷x	$- x \div x$
163578	Simplify	14x^5y^2(5y)	$14 x^{5} y^{2} (5 y)$
163579	Solve for x	x = square root of 4x	$x = \sqrt{4 x}$
163580	Solve for t	\|6t-7\|-8>=3	$\| 6 t - 7 \| - 8 \geq 3$
163581	Graph	F(x)=(3x^2)/(x^2-1)	$F (x) = \frac{3 x^{2}}{x^{2} - 1}$
163582	Simplify	(x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81)	$\frac{x^{3} + 9 x^{2}}{2 x} \cdot \frac{x^{2} - 14 x + 45}{x^{2} - 81}$
163583	Find the Holes in the Graph	f(x)=(x+1)/(-x-1)	$f (x) = \frac{x + 1}{- x - 1}$
163584	Simplify	((x^2-4)/(5x+30))÷((x^2+11x+18)/(3x+27))	$\frac{x^{2} - 4}{5 x + 30} \div \frac{x^{2} + 11 x + 18}{3 x + 27}$
163585	Graph	negative infinity<y<infinity	$- \infty < y < \infty$
163586	Write in Standard Form	-6-(x^5)/2-x^2	$- 6 - \frac{x^{5}}{2} - x^{2}$
163587	Find the x and y Intercepts	f(x)=(-3x^2+75)/(5x^2+35x+50)	$f (x) = \frac{- 3 x^{2} + 75}{5 x^{2} + 35 x + 50}$
163588	Simplify	( square root of 5)/(6+ square root of 5)	$\frac{\sqrt{5}}{6 + \sqrt{5}}$
163589	Find the End Behavior	f(x)=-2x(3x^2+5)(4x-3)	$f (x) = - 2 x (3 x^{2} + 5) (4 x - 3)$
163590	Simplify	16x^4(2x^2y)	$16 x^{4} (2 x^{2} y)$
163591	Solve for y	C=(y-k)h	$C = (y - k) h$
163592	Simplify	((x-7)/(x+6))÷((x^2-13x+42)/(x^2-36))	$\frac{x - 7}{x + 6} \div \frac{x^{2} - 13 x + 42}{x^{2} - 36}$
163593	Solve for x	x/(x+3)=8/(x+6)	$\frac{x}{x + 3} = \frac{8}{x + 6}$
163594	Solve the Inequality for x	x^2-4x>=0	$x^{2} - 4 x \geq 0$
163595	Solve for x	6(2x+7)-13=21-9(x+1)	$6 (2 x + 7) - 13 = 21 - 9 (x + 1)$
163596	Write in Standard Form	-1-6x^2-(x^4)/6	$- 1 - 6 x^{2} - \frac{x^{4}}{6}$
163597	Write in Standard Form	-x^4+1-x/7	$- x^{4} + 1 - \frac{x}{7}$
163598	Evaluate	(x+2)(x+2)	$(x + 2) (x + 2)$
163599	Solve for x	2(3x-3)-4(2-(3x-2))=4	$2 (3 x - 3) - 4 (2 - (3 x - 2)) = 4$
163600	Simplify	5 square root of 3* square root of 3	$5 \sqrt{3} \cdot \sqrt{3}$