Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209401	Simplify	(x+1)/(2x-2)-(x-1)/(2x+2)-2/(1-x^2)	$\frac{x + 1}{2 x - 2} - \frac{x - 1}{2 x + 2} - \frac{2}{1 - x^{2}}$
209402	Find the Degree	4b^4+c+c^3	$4 b^{4} + c + c^{3}$
209403	Identify the Zeros and Their Multiplicities	f(x)=-x^3+15x^2-75x+125	$f (x) = - x^{3} + 15 x^{2} - 75 x + 125$
209404	Simplify	(60a^2b^3-48b^4+84a^5b^2)/(12ab^2)	$\frac{60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$
209405	Write in Standard Form	y=-3(6x-2)(x-4)	$y = - 3 (6 x - 2) (x - 4)$
209406	Solve for d	(2d+3)^(1/3)=2	${(2 d + 3)}^{\frac{1}{3}} = 2$
209407	Simplify	(4b cube root of -27a^5)/(3a^2b)	$\frac{4 b \sqrt[3]{- 27 a^{5}}}{3 a^{2} b}$
209408	Simplify	7(13-5)^2+22÷11	$7 {(13 - 5)}^{2} + 22 \div 11$
209409	Factor	45xy+15x^3y+10y	$45 x y + 15 x^{3} y + 10 y$
209410	Simplify	square root of (x^2)/(y^2)	$\sqrt{\frac{x^{2}}{y^{2}}}$
209411	Graph	y=3x+1 y=4	$y = 3 x + 1$ $y = 4$
209412	Solve for h	2h^3-11=43	$2 h^{3} - 11 = 43$
209413	Simplify	(-1/27)^(1/3)	${(- \frac{1}{27})}^{\frac{1}{3}}$
209414	Convert to Radical Form	1/((x^2-7)^(-1/2))	$\frac{1}{{(x^{2} - 7)}^{- \frac{1}{2}}}$
209415	Solve the Inequality for x	1/6(x-15)>x+20	$\frac{1}{6} (x - 15) > x + 20$
209416	Simplify	cube root of 7/16	$\sqrt[3]{\frac{7}{16}}$
209417	Solve for n	(n+7)(n+9)=0	$(n + 7) (n + 9) = 0$
209418	Solve the Inequality for x	2(x-3)-4x>8	$2 (x - 3) - 4 x > 8$
209419	Evaluate	1/2(4)^2pi/2	$\frac{1}{2} {(4)}^{2} \frac{π}{2}$
209420	Simplify	x/-8>=-5	$\frac{x}{- 8} \geq - 5$
209421	Solve for x	x^2+1^2=2^2	$x^{2} + 1^{2} = 2^{2}$
209422	Solve for b	5=15b+12c	$5 = 15 b + 12 c$
209423	Solve for k	5k+16-7k=-16+4(-7k-18)	$5 k + 16 - 7 k = - 16 + 4 (- 7 k - 18)$
209424	Solve for x	1/x+2/x=3/(2x-1)	$\frac{1}{x} + \frac{2}{x} = \frac{3}{2 x - 1}$
209425	Simplify	(-7)(2/7x)(-3)	$(- 7) (\frac{2}{7} x) (- 3)$
209426	Find the Holes in the Graph	(x-3)/(3x-9)	$\frac{x - 3}{3 x - 9}$
209427	Simplify	(2(x-5))/(2x(5-x))	$\frac{2 (x - 5)}{2 x (5 - x)}$
209428	Solve for y	y=3^x for x=2	$y = 3^{x}$ for $x = 2$
209429	Find the Exact Value	(1/2)÷(( square root of 3)/2)	$\frac{1}{2} \div \frac{\sqrt{3}}{2}$
209430	Simplify	(x+1)/(3x+6)*(6x+12)/(x^2-1)	$\frac{x + 1}{3 x + 6} \cdot \frac{6 x + 12}{x^{2} - 1}$
209431	Determine if a Polynomial	s^3+s^2+(s^5)/4	$s^{3} + s^{2} + \frac{s^{5}}{4}$
209432	Evaluate	-3/2(2)^-1	$- \frac{3}{2} {(2)}^{- 1}$
209433	Find the x and y Intercepts	f(x)=3 square root of x-1	$f (x) = 3 \sqrt{x - 1}$
209434	Solve the Rational Equation for x	square root of 3x+4=x	$\sqrt{3 x + 4} = x$
209435	Simplify	((3a)/(a^2))^0	${(\frac{3 a}{a^{2}})}^{0}$
209436	Find the Roots (Zeros)	y=(2x+3)(x-1)^2	$y = (2 x + 3) {(x - 1)}^{2}$
209437	Solve the System of Equations	7/2x-1/2y=9/2 3x-y=5	$\frac{7}{2} x - \frac{1}{2} y = \frac{9}{2}$ $3 x - y = 5$
209438	Simplify	((4x^2-324)/(x^2+4x-45)*4/(-x^2-5x))÷((9-x)/(25-x^2))	$\frac{4 x^{2} - 324}{x^{2} + 4 x - 45} \cdot \frac{4}{- x^{2} - 5 x} \div \frac{9 - x}{25 - x^{2}}$
209439	Simplify	(5x^-1+2y^-1)/(x^-2y^-2)	$\frac{5 x^{- 1} + 2 y^{- 1}}{x^{- 2} y^{- 2}}$
209440	Simplify	i^6i^19i^39	$i^{6} \cdot i^{19} \cdot i^{39}$
209441	Divide	(3/4)÷1 1/2	$\frac{3}{4} \div 1 \frac{1}{2}$
209442	Evaluate	sin(theta)+cos(theta)*cot(theta)=2	$\sin (θ) + \cos (θ) \cdot \cot (θ) = 2$
209443	Find the Domain and Range	f(x)=-2 log base 3 of 3-x	$f (x) = - 2 \log_{3} (3 - x)$
209444	Simplify	(tan(pi/4)+tan(x))/(1-tan(pi/4)tan(x))	$\frac{\tan (\frac{π}{4}) + \tan (x)}{1 - \tan (\frac{π}{4}) \tan (x)}$
209445	Solve the System of Equations	-x-3y-2z=8 -x+y+6z=4 x-9y-2z=4	$- x - 3 y - 2 z = 8$ $- x + y + 6 z = 4$ $x - 9 y - 2 z = 4$
209446	Solve for x	(x^2+x-4)/(x-2)=x-1/(x-2)	$\frac{x^{2} + x - 4}{x - 2} = x - \frac{1}{x - 2}$
209447	Solve the Inequality for x	-34<-2(4x-1)	$- 34 < - 2 (4 x - 1)$
209448	Find the LCD	-2/(x+3) and (7x)/(6x+18)	$\frac{- 2}{x + 3}$ and $\frac{7 x}{6 x + 18}$
209449	Solve for y	y=2-9x , x=23	$y = 2 - 9 x$ , $x = 23$
209450	Simplify the Radical Expression	(x^10)^(1/5)+(x^4)^(1/2)	${(x^{10})}^{\frac{1}{5}} + {(x^{4})}^{\frac{1}{2}}$
209451	Simplify	(a^-3x^2)/(a^-3b^-2x^2)	$\frac{a^{- 3} x^{2}}{a^{- 3} b^{- 2} x^{2}}$
209452	Simplify	1/2a^-4b^2	$\frac{1}{2} a^{- 4} b^{2}$
209453	Factor by Grouping	9x^2-3xy+6x-2y	$9 x^{2} - 3 x y + 6 x - 2 y$
209454	Simplify	cos(2arccos(2/5))	$\cos (2 \arccos (\frac{2}{5}))$
209455	Write in y=mx+b Form	2(y-3)=2x-6	$2 (y - 3) = 2 x - 6$
209456	Simplify	(-(2b^5)/a)((3b)/(a^5))	$(- \frac{2 b^{5}}{a}) (\frac{3 b}{a^{5}})$
209457	Evaluate	4(x-2+y)	$4 (x - 2 + y)$
209458	Graph	y=2-2/3cos(x-pi/2)	$y = 2 - \frac{2}{3} \cos (x - \frac{π}{2})$
209459	Simplify the Radical Expression	fourth root of 16/81	$\sqrt[4]{\frac{16}{81}}$
209460	Graph	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
209461	Find the Product	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
209462	Find the Product	(2x-1/2)(2x+1/2)	$(2 x - \frac{1}{2}) (2 x + \frac{1}{2})$
209463	Solve for x	-3/4+(2x+2)/x=-7/(4x)	$\frac{- 3}{4} + \frac{2 x + 2}{x} = \frac{- 7}{4 x}$
209464	Find the Quotient	(4t^7)/(2t)	$\frac{4 t^{7}}{2 t}$
209465	Find the Distance Between Two Points	(6,-3) and (4,3)	$(6, - 3)$ and $(4, 3)$
209466	Convert to a Decimal	sin(600)deg	$\sin (600)$ degrees
209467	Simplify	Subtract -3x-8 from 4x^2-7x-2	Subtract $- 3 x - 8$ from $4 x^{2} - 7 x - 2$
209468	Find the Exact Value	-(17)^0	$- {(17)}^{0}$
209469	Simplify	((x^2-16x+64)(x+2))/((x^2-64)(x^2-6x-16))	$\frac{(x^{2} - 16 x + 64) (x + 2)}{(x^{2} - 64) (x^{2} - 6 x - 16)}$
209470	Graph	Graph 9x+15y=45	Graph $9 x + 15 y = 45$
209471	Evaluate	sec(theta)=2	$\sec (θ) = 2$
209472	Evaluate	x^(4/3)=9	$x^{\frac{4}{3}} = 9$
209473	Multiply	square root of 32 square root of 25 square root of 8* square root of 18	$\sqrt{3} \cdot 2 \sqrt{2} \cdot 5 \sqrt{8} \cdot \sqrt{18}$
209474	Solve the Inequality for b	-4+b/6<10	$- 4 + \frac{b}{6} < 10$
209475	Simplify	2/(2x^3-2)-4/(3x^3-3)	$\frac{2}{2 x^{3} - 2} - \frac{4}{3 x^{3} - 3}$
209476	Evaluate	x^2=7	$x^{2} = 7$
209477	Simplify	(4x^5-3x^3+2x^2-7)-(x^4+2x^3-4x-3)	$(4 x^{5} - 3 x^{3} + 2 x^{2} - 7) - (x^{4} + 2 x^{3} - 4 x - 3)$
209478	Evaluate	square root of 5x-1+4=1	$\sqrt{5 x - 1} + 4 = 1$
209479	Describe the Transformation	y=- cube root of -x+3-5	$y = - \sqrt[3]{- x + 3} - 5$
209480	Solve for x	square root of x+7+2 = square root of 3-x	$\sqrt{x + 7} + 2 = \sqrt{3 - x}$
209481	Simplify	x^(-1/2)*x	$x^{- \frac{1}{2}} \cdot x$
209482	Solve for n	4^(2n^2+2n)=8	$4^{2 n^{2} + 2 n} = 8$
209483	Convert to a Decimal	290deg	$290$ degrees
209484	Solve for x	3/4-(2x)/(4x-24)=8/(x-6)	$\frac{3}{4} - \frac{2 x}{4 x - 24} = \frac{8}{x - 6}$
209485	Graph	f(x)=x^3+x^2+x^1+x^0	$f (x) = x^{3} + x^{2} + x^{1} + x^{0}$
209486	Simplify the Radical Expression	cube root of 16xy	$\sqrt[3]{16 x y}$
209487	Simplify	x^2(x-1)^3	$x^{2} {(x - 1)}^{3}$
209488	Find the x and y Intercepts	P(x)=(x+1)(x-2)(x-4)	$P (x) = (x + 1) (x - 2) (x - 4)$
209489	Convert to Radical Form	-(49)^(1/2)	$- {(49)}^{\frac{1}{2}}$
209490	Simplify	(2x)(2x)(2x)	$(2 x) (2 x) (2 x)$
209491	Solve for d	d(4d+5)-8=0	$d (4 d + 5) - 8 = 0$
209492	Solve the Rational Equation for x	7+ square root of x=12	$7 + \sqrt{x} = 12$
209493	Find the Exact Value	(2^3(3^2-2^0))/(2^3-3^2)	$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$
209494	Solve the Inequality for k	4k-16<k+2	$4 k - 16 < k + 2$
209495	Simplify the Radical Expression	cube root of square root of 7	$\sqrt[3]{\sqrt{7}}$
209496	Graph	f^-1(x)=(2x)/3-8/3	$f^{- 1} (x) = \frac{2 x}{3} - \frac{8}{3}$
209497	Solve for x	4 log base x of square root of 2=1/2	$4 \log_{x} (\sqrt{2}) = \frac{1}{2}$
209498	Solve the System of Equations	x+y=-4 -2x-2y=6	$x + y = - 4$ $- 2 x - 2 y = 6$
209499	Simplify	(x+2)/(x-1)*(x^2-x-2)/(x^2-x-6)	$\frac{x + 2}{x - 1} \cdot \frac{x^{2} - x - 2}{x^{2} - x - 6}$
209500	Solve the Inequality for x	x-10<6-5x	$x - 10 < 6 - 5 x$