Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215401	Divide	(-6x^2y^8+12xy^3-36xy^2)/(6xy^2)	$\frac{- 6 x^{2} y^{8} + 12 x y^{3} - 36 x y^{2}}{6 x y^{2}}$
215402	Simplify	3/(x-10)(x^2-100)/(2x)(x+7)/(x^3+17x^2+70x)	$\frac{3}{x - 10} \cdot \frac{x^{2} - 100}{2 x} \cdot \frac{x + 7}{x^{3} + 17 x^{2} + 70 x}$
215403	Graph	f(x) = cube root of x-1-1	$f (x) = \sqrt[3]{x - 1 - 1}$
215404	Multiply	6 square root of 27*2 square root of 3	$6 \sqrt{27} \cdot 2 \sqrt{3}$
215405	Solve the Inequality for c	-0.9c>-9	$- 0.9 c > - 9$
215406	Solve Using the Quadratic Formula	x^2+11x=16+5x	$x^{2} + 11 x = 16 + 5 x$
215407	Simplify	-1*(-22-33d)	$- 1 \times (- 22 - 33 d)$
215408	Evaluate	3(cos(45 degrees )^2-sin(90 degrees )^2)	$3 (\cos^{2} (45 °) - \sin^{2} (90 °))$
215409	Simplify	((2x)^3)^3	${({(2 x)}^{3})}^{3}$
215410	Simplify the Radical Expression	seventh root of a-3 seventh root of a+5 seventh root of a	$\sqrt[7]{a} - 3 \sqrt[7]{a} + 5 \sqrt[7]{a}$
215411	Evaluate	1/( square root of 5-2)-1/( square root of 5+2)	$\frac{1}{\sqrt{5} - 2} - \frac{1}{\sqrt{5} + 2}$
215412	Solve the Inequality for x	24>=58+5(x-3.8)	$24 \geq 58 + 5 (x - 3.8)$
215413	Factor by Grouping	9x+ay+9y+ax	$9 x + a y + 9 y + a x$
215414	Find the Exact Value	e^(-2 natural log of 5)	$e^{- 2 \ln (5)}$
215415	Simplify	7/(3x^3)*(8x)/7	$\frac{7}{3 x^{3}} \cdot \frac{8 x}{7}$
215416	Find the End Behavior	f(x)=x^3+x^2-4x-4	$f (x) = x^{3} + x^{2} - 4 x - 4$
215417	Simplify the Radical Expression	( square root of 5a)( square root of 2a)(3 square root of 10a^2)	$(\sqrt{5 a}) (\sqrt{2 a}) (3 \sqrt{10 a^{2}})$
215418	Simplify	10x^2-10x+2 from -8x^2+7x-7	$10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
215419	Solve for g	5(g+4)>15	$5 (g + 4) > 15$
215420	Solve the System of Equations	x^2-4y^2=9 x+2y^2=3	$x^{2} - 4 y^{2} = 9$ $x + 2 y^{2} = 3$
215421	Solve for d	2 square root of d+4=-2	$2 \sqrt{d + 4} = - 2$
215422	Solve the System of Equations	x+2y-4z=4 2x-y+2z=3 3x-8z=-2	$x + 2 y - 4 z = 4$ $2 x - y + 2 z = 3$ $3 x - 8 z = - 2$
215423	Write in Standard Form	(3v^5+8v^3-10v^2)-(-12v^5+4v^3+14v^2)	$(3 v^{5} + 8 v^{3} - 10 v^{2}) - (- 12 v^{5} + 4 v^{3} + 14 v^{2})$
215424	Simplify	7+ square root of 6(3+4)-2+9-3*2^2	$7 + \sqrt{6 (3 + 4) - 2 + 9} - 3 \cdot 2^{2}$
215425	Simplify	6x^(1/3)*5x^(2/3)	$6 x^{\frac{1}{3}} \cdot 5 x^{\frac{2}{3}}$
215426	Solve for z	z^2=0	$z^{2} = 0$
215427	Simplify the Radical Expression	square root of (2x)/y	$\sqrt{\frac{2 x}{y}}$
215428	Simplify	((2^-1)^-5)/(2^4)	$\frac{{(2^{- 1})}^{- 5}}{2^{4}}$
215429	Simplify	((4^0)^-2)/(4^2)	$\frac{{(4^{0})}^{- 2}}{4^{2}}$
215430	Solve for θ	sin(theta)=8/10	$\sin (θ) = \frac{8}{10}$
215431	Simplify	2/(5x)+7/(10x^2)	$\frac{2}{5 x} + \frac{7}{10 x^{2}}$
215432	Write in Standard Form	5+8y^2-12y^2+3y	$5 + 8 y^{2} - 12 y^{2} + 3 y$
215433	Solve for s	2\|s\|=18	$2 \| s \| = 18$
215434	Divide	(6a^2+21a)/(3a^2)	$\frac{6 a^{2} + 21 a}{3 a^{2}}$
215435	Convert to Interval Notation	x>=4 or x<=-6	$x \geq 4$ or $x \leq - 6$
215436	Evaluate	(6x^-2)^2(0.5x)^4	${(6 x^{- 2})}^{2} {(0.5 x)}^{4}$
215437	Multiply	(4x^2-20x+25)/(x^2-4x)*(3x-12)/(2x-5)	$\frac{4 x^{2} - 20 x + 25}{x^{2} - 4 x} \cdot \frac{3 x - 12}{2 x - 5}$
215438	Simplify the Radical Expression	24 root of 1/(n^7*n^2)	$\sqrt[24]{\frac{1}{n^{7} \cdot n^{2}}}$
215439	Simplify	(2)(-6/5x)(-10)	$(2) (- \frac{6}{5} x) (- 10)$
215440	Solve the Inequality for x	1/2x-2>0	$\frac{1}{2} x - 2 > 0$
215441	Evaluate	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
215442	Solve for y	y=3sin(3/4)((8pi)/9+(2pi)/3)-5	$y = 3 \sin (\frac{3}{4}) (\frac{8 π}{9} + \frac{2 π}{3}) - 5$
215443	Simplify	5/6b+5-2/3b-2	$\frac{5}{6} b + 5 - \frac{2}{3} b - 2$
215444	Simplify	a-((a-(a-b))-(b-(a-b)))	$a - ((a - (a - b)) - (b - (a - b)))$
215445	Solve for y	5/6y+1=-1/2y+1/4	$\frac{5}{6} y + 1 = - \frac{1}{2} y + \frac{1}{4}$
215446	Solve for x	2x^2+x-1/8=0	$2 x^{2} + x - \frac{1}{8} = 0$
215447	Simplify	48/( square root of 3- square root of 5)	$\frac{48}{\sqrt{3} - \sqrt{5}}$
215448	Solve for x	32=4^x	$32 = 4^{x}$
215449	Evaluate	square root of x-2 = square root of 3x-14	$\sqrt{x - 2} = \sqrt{3 x - 14}$
215450	Find the LCD	8/(3x+12) and 7/(6x)	$\frac{8}{3 x + 12}$ and $\frac{7}{6 x}$
215451	Simplify	2p(-4p^2+5p)-5(2p^2+20)	$2 p (- 4 p^{2} + 5 p) - 5 (2 p^{2} + 20)$
215452	Simplify	(5+ square root of -3)(5- square root of -3)	$(5 + \sqrt{- 3}) (5 - \sqrt{- 3})$
215453	Simplify	11b^2+3b-1-2b^2-2b-8	$11 b^{2} + 3 b - 1 - 2 b^{2} - 2 b - 8$
215454	Simplify	(( square root of 5)/3-3/2i)^2	${(\frac{\sqrt{5}}{3} - \frac{3}{2} i)}^{2}$
215455	Solve the Inequality for y	-y-10>15-2y	$- y - 10 > 15 - 2 y$
215456	Simplify	(x^(1/6))/(7x^(3/6))	$\frac{x^{\frac{1}{6}}}{7 x^{\frac{3}{6}}}$
215457	Solve for x	2x^2+17x+27=18/x	$2 x^{2} + 17 x + 27 = \frac{18}{x}$
215458	Convert to a Decimal	tan(0)deg	$\tan (0)$ degrees
215459	Simplify	(2xy^2)/(x+y)*(x+y)/(4xy)	$\frac{2 x y^{2}}{x + y} \cdot \frac{x + y}{4 x y}$
215460	Solve for m	9/(m-5)<3	$\frac{9}{m - 5} < 3$
215461	Simplify	(4x^2y)/(2xz^2)*(6xz^3)/(20y^4)	$\frac{4 x^{2} y}{2 x z^{2}} \cdot \frac{6 x z^{3}}{20 y^{4}}$
215462	Evaluate	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
215463	Simplify	7-(6n+7)/(16n^2+80n)	$7 - \frac{6 n + 7}{16 n^{2} + 80 n}$
215464	Graph	f(x)=-x^3+x	$f (x) = - x^{3} + x$
215465	Solve for x	3/(x(x+1))-1=3/(x^2+x)	$\frac{3}{x (x + 1)} - 1 = \frac{3}{x^{2} + x}$
215466	Find the Degree, Leading Term, and Leading Coefficient	v(t)=-t(t+2)^2(t-3)	$v (t) = - t {(t + 2)}^{2} (t - 3)$
215467	Solve for y	8 7/18-(1 5/6+y)=3 4/15+2 13/45	$8 \frac{7}{18} - (1 \frac{5}{6} + y) = 3 \frac{4}{15} + 2 \frac{13}{45}$
215468	Solve for x	18x^3=50x	$18 x^{3} = 50 x$
215469	Evaluate	2/(2-y)+3/(y+2)=(2y)/(y^2-4)	$\frac{2}{2 - y} + \frac{3}{y + 2} = \frac{2 y}{y^{2} - 4}$
215470	Simplify	(4x^0)/(y^-3)	$\frac{4 x^{0}}{y^{- 3}}$
215471	Simplify	2x(x+5)-x^2(3-x)	$2 x (x + 5) - x^{2} (3 - x)$
215472	Simplify	((12x-96)/(x^2-4x-32))/((6x^2-6x-12)/(3x+3))	$\frac{\frac{12 x - 96}{x^{2} - 4 x - 32}}{\frac{6 x^{2} - 6 x - 12}{3 x + 3}}$
215473	Solve for h	(V_f)^2=(V_o)^2+2gh	${(V_{f})}^{2} = {(V_{o})}^{2} + 2 g h$
215474	Solve the System of Inequalities	y<=-x-8 y>1/2x-2	$y \leq - x - 8$ $y > \frac{1}{2} x - 2$
215475	Convert to a Decimal	570deg	$570$ degrees
215476	Solve for c	66=c^3	$66 = c^{3}$
215477	Graph	(y+1)^2=-4 (x-2)	${(y + 1)}^{2} = - 4$ $(x - 2)$
215478	Simplify	square root of 7/( square root of 3)	$\sqrt{\frac{7}{\sqrt{3}}}$
215479	Simplify	2+3/5x-1-1/5x	$2 + \frac{3}{5} x - 1 - \frac{1}{5} x$
215480	Write the Fraction in Simplest Form	(-3(v^-1)^5)/(2v^-1)	$\frac{- 3 {(v^{- 1})}^{5}}{2 v^{- 1}}$
215481	Evaluate	(x^(1/2)y^(-1/4)z)^-2	${(x^{\frac{1}{2}} y^{- \frac{1}{4}} z)}^{- 2}$
215482	Multiply	(x^2-3x-54)*(x+6)	$(x^{2} - 3 x - 54) \cdot (x + 6)$
215483	Simplify	((a^-2b^4)^-6)/((a^4b^-8)^3)	$\frac{{(a^{- 2} b^{4})}^{- 6}}{{(a^{4} b^{- 8})}^{3}}$
215484	Simplify	(h+12)+(p+24)	$(h + 12) + (p + 24)$
215485	Graph	\|2x-y\|>1	$\| 2 x - y \| > 1$
215486	Simplify	cot(x)^2csc(x)^2-cot(x)^2	$\cot^{2} (x) \csc^{2} (x) - \cot^{2} (x)$
215487	Find the Equation Using Two Points	(0,5) and (-5,1)	$(0, 5)$ and $(- 5, 1)$
215488	Graph	38-k<5-2k	$38 - k < 5 - 2 k$
215489	Simplify	((3x-4)/(5x))÷(9x-12)	$(\frac{3 x - 4}{5 x}) \div (9 x - 12)$
215490	Solve for x	8/x-4/5=-8/(5x)	$\frac{8}{x} - \frac{4}{5} = \frac{- 8}{5 x}$
215491	Solve for x	cube root of x^2-2 = cube root of 5x	$\sqrt[3]{x^{2} - 2} = \sqrt[3]{5 x}$
215492	Evaluate	-2(3)^3+(3)^2-3*3+4	$- 2 {(3)}^{3} + {(3)}^{2} - 3 \cdot 3 + 4$
215493	Simplify	(15p^5qr^7)*(4/3p^2qr)	$(15 p^{5} q r^{7}) \cdot (\frac{4}{3} p^{2} q r)$
215494	Solve for a	a-6 = square root of a	$a - 6 = \sqrt{a}$
215495	Solve the System of Inequalities	y>-2x+1 y<=x+3	$y > - 2 x + 1$ $y \leq x + 3$
215496	Graph	y< square root of x+1+4	$y < \sqrt{x + 1 + 4}$
215497	Solve for x	1 1/3+x=3 2/3	$1 \frac{1}{3} + x = 3 \frac{2}{3}$
215498	Solve for m	9^(m-6)=78	$9^{m - 6} = 78$
215499	Find the Third Term	a_n=3(2)^n	$a_{n} = 3 {(2)}^{n}$
215500	Convert to a Decimal	1deg	$1$ degree