Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188401	Multiply	3x(2x-5y+4)	$3 x (2 x - 5 y + 4)$
188402	Divide	((9x^2-18x-7)/(2x-4))÷((9x^2-49)/(x-2))	$\frac{9 x^{2} - 18 x - 7}{2 x - 4} \div \frac{9 x^{2} - 49}{x - 2}$
188403	Solve the System of Equations	y=2x-3.5 x-2y=-14	$y = 2 x - 3.5$ $x - 2 y = - 14$
188404	Solve for x	-10x=-25-x^2	$- 10 x = - 25 - x^{2}$
188405	Find the Holes in the Graph	f(x)=(-2x-4)/(x+4)	$f (x) = \frac{- 2 x - 4}{x + 4}$
188406	Simplify	((-54x^9)/(y^4))^(2/3)	${(\frac{- 54 x^{9}}{y^{4}})}^{\frac{2}{3}}$
188407	Find the Domain and Range	f(x)=[2x]	$f (x) = [2 x]$
188408	Graph	y>=(x+2)^2	$y \geq {(x + 2)}^{2}$
188409	Convert to Polar	y=-( square root of 3)/3x	$y = - \frac{\sqrt{3}}{3} x$
188410	Evaluate	cos(pi/3)-sin((3pi)/4)	$\cos (\frac{π}{3}) - \sin (\frac{3 π}{4})$
188411	Simplify	((m^2-2m-8)/(8m+24))÷((2m-8)/(m^2+7m+12))	$\frac{m^{2} - 2 m - 8}{8 m + 24} \div \frac{2 m - 8}{m^{2} + 7 m + 12}$
188412	Write in Standard Form	2x(1-x)=10	$2 x (1 - x) = 10$
188413	Evaluate	2(x+h)^3	$2 {(x + h)}^{3}$
188414	Simplify	((b^-3c^4)/(b^-6))^4	${(\frac{b^{- 3} c^{4}}{b^{- 6}})}^{4}$
188415	Factor	5x(a^2+1)+(x+1)(a^2+1)	$5 x (a^{2} + 1) + (x + 1) (a^{2} + 1)$
188416	Graph	f(x)=1 if x<-2; 2x-1 if -2<=x<1; -x+4 if x>=1	$f (x) = {\begin{cases} 1 & x < - 2 \\ 2 x - 1 & - 2 \leq x < 1 \\ - x + 4 & x \geq 1 \end{cases}$
188417	Find f(g(x))	f(x)=x^2-4 , g(x)=2x+1	$f (x) = x^{2} - 4$ , $g (x) = 2 x + 1$
188418	Convert to a Decimal	72deg	$72$ degrees
188419	Solve the Inequality for x	(3-x)(x+1)(x+5)<=0	$(3 - x) (x + 1) (x + 5) \leq 0$
188420	Solve the System of Equations	y=-1/3x-3 y=x-7	$y = - \frac{1}{3} x - 3$ $y = x - 7$
188421	Factor	2px-3y+py-6x	$2 p x - 3 y + p y - 6 x$
188422	Simplify	(-x+8y)+(-10x-6y)	$(- x + 8 y) + (- 10 x - 6 y)$
188423	Solve the System of Equations	2x-y=23 x-9=-1	$2 x - y = 23$ $x - 9 = - 1$
188424	Find the Distance Between Two Points	(8,7) and (1,-2)	$(8, 7)$ and $(1, - 2)$
188425	Solve for x	3x-8=2(5-x)	$3 x - 8 = 2 (5 - x)$
188426	Simplify	cube root of (x-1)^3+1	$\sqrt[3]{{(x - 1)}^{3}} + 1$
188427	Solve for y	3x+5y=16 for y	$3 x + 5 y = 16$ for $y$
188428	Solve Using the Quadratic Formula	a^2-2ab+b^2	$a^{2} - 2 a b + b^{2}$
188429	Subtract	5/8-1 7/8	$\frac{5}{8} - 1 \frac{7}{8}$
188430	Write in Standard Form	x(x+1)=12	$x (x + 1) = 12$
188431	Solve the Inequality for n	15>5n+5	$15 > 5 n + 5$
188432	Graph	x>-2 and y<-1	$x > - 2$ and $y < - 1$
188433	Solve for u	\|4u+7\|=5	$\| 4 u + 7 \| = 5$
188434	Solve for x	48=\|15-9x\|	$48 = \| 15 - 9 x \|$
188435	Find the x and y Intercepts	f(x)=e^x-5	$f (x) = e^{x} - 5$
188436	Simplify	(-3+i)/(7+i)	$\frac{- 3 + i}{7 + i}$
188437	Find All Complex Solutions	sin(x/2) = square root of 3-sin(x/2)	$\sin (\frac{x}{2}) = \sqrt{3} - \sin (\frac{x}{2})$
188438	Factor	x^5+2x^3+x^2+2	$x^{5} + 2 x^{3} + x^{2} + 2$
188439	Evaluate	25/60*2pi	$\frac{25}{60} \cdot 2 π$
188440	Determine if Perpendicular	x=1 y=-8	$x = 1$ $y = - 8$
188441	Simplify	8(x^4)^(1/2)	$8 {(x^{4})}^{\frac{1}{2}}$
188442	Factor	-x^4-36+13x^2	$- x^{4} - 36 + 13 x^{2}$
188443	Simplify	(x-2+1/x)/(5-5/x)	$\frac{x - 2 + \frac{1}{x}}{5 - \frac{5}{x}}$
188444	Solve for w	p=2l+2w solve for w	$p = 2 l + 2 w$ solve for $w$
188445	Write in Standard Form	7x=3x^2	$7 x = 3 x^{2}$
188446	Solve the System of Equations	x+y+z=-1 x-y+z=-1 x+y-z=3	$x + y + z = - 1$ $x - y + z = - 1$ $x + y - z = 3$
188447	Determine if True	csc(theta)^2-cot(theta)^2=cot(theta)tan(theta)	$\csc^{2} (θ) - \cot^{2} (θ) = \cot (θ) \tan (θ)$
188448	Solve for n	-66=-9n+16n+4	$- 66 = - 9 n + 16 n + 4$
188449	Simplify	6.1m-4.2+3.7n-9.4m+5.5n	$6.1 m - 4.2 + 3.7 n - 9.4 m + 5.5 n$
188450	Simplify	(x/(x-3))/(x/(x-3)-3)	$\frac{\frac{x}{x - 3}}{\frac{x}{x - 3} - 3}$
188451	Find the Distance Between Two Points	(-7,-7) and (1,-3)	$(- 7, - 7)$ and $(1, - 3)$
188452	Write in Standard Form	(7w^2+4w-6)+(w^2-11w+13)	$(7 w^{2} + 4 w - 6) + (w^{2} - 11 w + 13)$
188453	Solve for x	4(6-4x)^2=49	$4 {(6 - 4 x)}^{2} = 49$
188454	Factor	f(x)=x^3-4x	$f (x) = x^{3} - 4 x$
188455	Factor	18x^2yz-24xz^2+36yz^3	$18 x^{2} y z - 24 x z^{2} + 36 y z^{3}$
188456	Graph	[-1,infinity]	$[- 1, \infty]$
188457	Solve for x	square root of x-5 = square root of 23-x	$\sqrt{x - 5} = \sqrt{23 - x}$
188458	Find the x and y Intercepts	f(x)=e^(2x)	$f (x) = e^{2 x}$
188459	Find the Exact Value	square root of 2* square root of 2	$\sqrt{2} \cdot \sqrt{2}$
188460	Find the Equation Using Slope-Intercept Form	Slope 11 that passes through (-2,7)	Slope $11$ that passes through $(- 2, 7)$
188461	Simplify	(((x^2y^3)^-2)/((x^6y^3z)^2))^3	${(\frac{{(x^{2} y^{3})}^{- 2}}{{(x^{6} y^{3} z)}^{2}})}^{3}$
188462	Solve the System of Equations	x-y=3 x+y=5	$x - y = 3$ $x + y = 5$
188463	Solve for a	((x^2)^(2/3))/( square root of x^3)=x^a	$\frac{{(x^{2})}^{\frac{2}{3}}}{\sqrt{x^{3}}} = x^{a}$
188464	Solve the System of Equations	y=-1/5x-3 y=x+3	$y = - \frac{1}{5} x - 3$ $y = x + 3$
188465	Multiply	-1/5*1	$- \frac{1}{5} \cdot 1$
188466	Solve for x	4x-x^2=3	$4 x - x^{2} = 3$
188467	Solve for x	125^x+5^(3x+1)=200	$125^{x} + 5^{3 x + 1} = 200$
188468	Find the Exact Value	cot(480 degrees )	$\cot (480 °)$
188469	Simplify	3(7x)-2(4-x)	$3 (7 x) - 2 (4 - x)$
188470	Simplify	(3/(5b)-2/(5b))/(1/(4b)+2/(3b))	$\frac{\frac{3}{5 b} - \frac{2}{5 b}}{\frac{1}{4 b} + \frac{2}{3 b}}$
188471	Solve for m	8m-9>71	$8 m - 9 > 71$
188472	Factor	R(x)=(x^2)/(x^2-x-2)	$R (x) = \frac{x^{2}}{x^{2} - x - 2}$
188473	Simplify	(6x^5+72x^4+192x^3)/(x^2+13x+40)*(x+2)/(3x^4+12x^3)	$\frac{6 x^{5} + 72 x^{4} + 192 x^{3}}{x^{2} + 13 x + 40} \cdot \frac{x + 2}{3 x^{4} + 12 x^{3}}$
188474	Solve for x	x/(5x-12)=-2/x	$\frac{x}{5 x - 12} = \frac{- 2}{x}$
188475	Find All Complex Solutions	9x+(-2x+8)=3x+(5-6x)-(-5x-18)	$9 x + (- 2 x + 8) = 3 x + (5 - 6 x) - (- 5 x - 18)$
188476	Graph	f(x)=1/2(x-2)^2	$f (x) = \frac{1}{2} {(x - 2)}^{2}$
188477	Solve for x	x^8-3x^4+2=0	$x^{8} - 3 x^{4} + 2 = 0$
188478	Solve the Inequality for x	-5-(14x-1)<2(7x-16)	$- 5 - (14 x - 1) < 2 (7 x - 16)$
188479	Solve for t	10t+4-2t=2-2(t+4)	$10 t + 4 - 2 t = 2 - 2 (t + 4)$
188480	Multiply	(cos(theta))/(1-sin(theta))*(1+sin(theta))/(1+sin(theta))	$\frac{\cos (θ)}{1 - \sin (θ)} \cdot \frac{1 + \sin (θ)}{1 + \sin (θ)}$
188481	Solve for x	10=-33+x^2	$10 = - 33 + x^{2}$
188482	Graph Using a Table of Values	f(x)=-5	$f (x) = - 5$
188483	Graph	R(x)=-x^5+5x^3-4x	$R (x) = - x^{5} + 5 x^{3} - 4 x$
188484	Simplify	1+5v+v-6	$1 + 5 v + v - 6$
188485	Simplify	(1/3-2b)*27	$(\frac{1}{3} - 2 b) \cdot 27$
188486	Solve for n	36^(n-3)*216^n=216^(2n+1)	$36^{n - 3} \cdot 216^{n} = 216^{2 n + 1}$
188487	Write in Standard Form	(4+x)(4-x)	$(4 + x) (4 - x)$
188488	Solve for x	5(5x-8)^2=5	$5 {(5 x - 8)}^{2} = 5$
188489	Simplify	(x^2(xy)^-3z^-2)/(x^-2yz^-1)	$\frac{x^{2} {(x y)}^{- 3} z^{- 2}}{x^{- 2} y z^{- 1}}$
188490	Simplify	4/(x^2-3x)+6/(3x-9)	$\frac{4}{x^{2} - 3 x} + \frac{6}{3 x - 9}$
188491	Solve the System of Inequalities	2x+1<=-4 or 2x+1>=4	$2 x + 1 \leq - 4$ or $2 x + 1 \geq 4$
188492	Solve for a	17a-31a-40=16	$17 a - 31 a - 40 = 16$
188493	Solve for x	12x^2-36x+27=0	$12 x^{2} - 36 x + 27 = 0$
188494	Solve for x	-7/(6x)+4/(3x)=-2/3	$- \frac{7}{6 x} + \frac{4}{3 x} = - \frac{2}{3}$
188495	Solve for x	(2x-4)/x=(x-2)/2	$\frac{2 x - 4}{x} = \frac{x - 2}{2}$
188496	Solve the Inequality for x	5x+24>2(x-9)-3x	$5 x + 24 > 2 (x - 9) - 3 x$
188497	Solve for x	2.25(4x-4)=-2+10x+12	$2.25 (4 x - 4) = - 2 + 10 x + 12$
188498	Solve for c	f=(9/5*c)+32	$f = (\frac{9}{5} \cdot c) + 32$
188499	Simplify	-x^3 square root of 3+x square root of 147x^4	$- x^{3} \sqrt{3} + x \sqrt{147 x^{4}}$
188500	Subtract	3/(x^2-3x)-4/(x^2-4x+3)	$\frac{3}{x^{2} - 3 x} - \frac{4}{x^{2} - 4 x + 3}$