Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10401	Find the Degree	-2x^5-3x^4-x^3-6x^2+6x+4	$- 2 x^{5} - 3 x^{4} - x^{3} - 6 x^{2} + 6 x + 4$
10402	Evaluate the Limit	limit as x approaches pi/3 of cot(-(2 square root of 3x)/pi+csc(x)-pi/4)	$lim_{x \to \frac{π}{3}} \cot (- \frac{2 \sqrt{3} x}{π} + \csc (x) - \frac{π}{4})$
10403	Simplify	(2x^2+1)/2+(3x^2-5)/3	$\frac{2 x^{2} + 1}{2} + \frac{3 x^{2} - 5}{3}$
10404	Simplify	y fourth root of 32x^6+ fourth root of 162x^2y^4	$y \sqrt[4]{32 x^{6}} + \sqrt[4]{162 x^{2} y^{4}}$
10405	Evaluate the Function	f(x)=2/x at x=1	$f (x) = \frac{2}{x}$ at $x = 1$
10406	Find the Domain	f(t)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (t) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
10407	Simplify	6x-9-5x+4-x+5x+5	$6 x - 9 - 5 x + 4 - x + 5 x + 5$
10408	Simplify	fourth root of 256x^2* square root of 16x^5	$\sqrt[4]{256 x^{2}} \cdot \sqrt{16 x^{5}}$
10409	Multiply	(v-3)(v^2+8v)	$(v - 3) (v^{2} + 8 v)$
10410	Evaluate the Limit	limit as x approaches - square root of 3 of (8(x^4-9))/(x^2-3)	$lim_{x \to - \sqrt{3}} \frac{8 (x^{4} - 9)}{x^{2} - 3}$
10411	Solve the Inequality for x	x/10+1/4>=1/5	$\frac{x}{10} + \frac{1}{4} \geq \frac{1}{5}$
10412	Solve Using the Quadratic Formula	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
10413	Determine if Odd, Even, or Neither	f(x)=x^5-(1/x)+\|(x+1)/(x-1)\|	$f (x) = x^{5} - (\frac{1}{x}) + \| \frac{x + 1}{x - 1} \|$
10414	Find the Average Rate of Change	f(x)=4/(3x-1) , x=1 , x=3	$f (x) = \frac{4}{3 x - 1}$ , $x = 1$ , $x = 3$
10415	Solve for m	square root of m-7+18=12	$\sqrt{m - 7} + 18 = 12$
10416	Find the Tangent Line at (1,0)	x^2y^2-2xy+x^2=1 , (1,0)	$x^{2} y^{2} - 2 x y + x^{2} = 1$ , $(1, 0)$
10417	Multiply	2x^4yx*6xy^2z^3	$2 x^{4} y x \cdot 6 x y^{2} z^{3}$
10418	Write in Standard Form	f(x)=5+2x^2-3x^4-2x-x^3	$f (x) = 5 + 2 x^{2} - 3 x^{4} - 2 x - x^{3}$
10419	Find Amplitude, Period, and Phase Shift	Y=-8/27sin((pix)/12- square root of 9)-28	$Y = - \frac{8}{27} \sin (\frac{π x}{12} - \sqrt{9}) - 28$
10420	Find the Parabola with Focus (0,7) and Directrix y=3	focus (0,7) directrix y=3	focus $(0, 7)$ directrix $y = 3$
10421	Solve for x	4(2(x+3)+7)-5x=61	$4 (2 (x + 3) + 7) - 5 x = 61$
10422	Solve for u	u^2=18u	$u^{2} = 18 u$
10423	Simplify	i/(-9+8i)	$\frac{i}{- 9 + 8 i}$
10424	Find the Perpendicular Line	y-3=8/3(x+2) , (-2,3)	$y - 3 = \frac{8}{3} (x + 2)$ , $(- 2, 3)$
10425	Convert to Radical Form	1/((x-1)^(-5/2))	$\frac{1}{{(x - 1)}^{- \frac{5}{2}}}$
10426	Simplify	( square root of 20x^7)/( square root of x)	$\frac{\sqrt{20 x^{7}}}{\sqrt{x}}$
10427	Graph	f(x)=cos(x) g(x)=cos(x+pi/2)	$f (x) = \cos (x)$ $g (x) = \cos (x + \frac{π}{2})$
10428	Evaluate	17+8/(13+19)	$17 + \frac{8}{13 + 19}$
10429	Convert to Radical Form	1/((x^2-3)^(-5/4))	$\frac{1}{{(x^{2} - 3)}^{- \frac{5}{4}}}$
10430	Find the First Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
10431	Evaluate	-1 2/5-(-4/5)	$- 1 \frac{2}{5} - (- \frac{4}{5})$
10432	Write in Slope-Intercept Form	2x+y>5	$2 x + y > 5$
10433	Find the Antiderivative	x^2-3^x+1/x	$x^{2} - 3^{x} + \frac{1}{x}$
10434	Simplify	(3x)/5*20/9	$\frac{3 x}{5} \cdot \frac{20}{9}$
10435	Evaluate	2pi*180/pi	$2 π \cdot \frac{180}{π}$
10436	Simplify	(-1+6i)+(5-2i)-(8i)	$(- 1 + 6 i) + (5 - 2 i) - (8 i)$
10437	Solve for p	T=2pi square root of p/n	$T = 2 π \sqrt{\frac{p}{n}}$
10438	Multiply	1/233	$\frac{1}{2} \cdot 3 \cdot 3$
10439	Simplify	i^19i^16i^15*i^17	$i^{19} \cdot i^{16} \cdot i^{15} \cdot i^{17}$
10440	Simplify	(xy^-6z^-3)/(x^-4y^-5z)	$\frac{x y^{- 6} z^{- 3}}{x^{- 4} y^{- 5} z}$
10441	Evaluate	2/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
10442	Solve for p	2/3(p+6)=4+2(p-6)	$\frac{2}{3} (p + 6) = 4 + 2 (p - 6)$
10443	Solve the Inequality for x	7 square root of x+3<=80	$7 \sqrt{x} + 3 \leq 80$
10444	Evaluate	-6/(-6+1)-1	$\frac{- 6}{- 6 + 1} - 1$
10445	Evaluate the Limit	limit as x approaches infinity of (x^4-10)/(4x^3+x)	$lim_{x \to \infty} \frac{x^{4} - 10}{4 x^{3} + x}$
10446	Find the Derivative - d/dx	(sin(x))e^(-x)	$(\sin (x)) e^{- x}$
10447	Simplify	(3x)/(2 square root of x)	$\frac{3 x}{2 \sqrt{x}}$
10448	Find the Inverse	y=9-x^2 x>=3	$y = 9 - x^{2}$ $x \geq 3$
10449	Multiply	-6*3/4	$- 6 \cdot \frac{3}{4}$
10450	Solve by Graphing	y=4x-1 and y=-x+4	$y = 4 x - 1$ and $y = - x + 4$
10451	Solve for Y	(Y-3)/2=4	$\frac{Y - 3}{2} = 4$
10452	Simplify	2 square root of 3+-5 square root of 2+10 square root of 3+14 square root of 2+-3 square root of 2	$2 \sqrt{3} + - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} + - 3 \sqrt{2}$
10453	Simplify	cube root of -3a^7b^4* cube root of 36a^6b^2	$\sqrt[3]{- 3 a^{7} b^{4}} \cdot \sqrt[3]{36 a^{6} b^{2}}$
10454	Graph	\|3x\|<=12	$\| 3 x \| \leq 12$
10455	Simplify	((-5a^5b^3)/(10a^7b^2))^-2	${(\frac{- 5 a^{5} b^{3}}{10 a^{7} b^{2}})}^{- 2}$
10456	Simplify	1^(1/4)*1^(1/4)	$1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}$
10457	Multiply	2pq(3q-4p)	$2 p q (3 q - 4 p)$
10458	Solve the Inequality for x	5x+7<=8x-3+2x	$5 x + 7 \leq 8 x - 3 + 2 x$
10459	Graph	r-(-5)>-2	$r - (- 5) > - 2$
10460	Graph	2x^(-)*3	$2 x^{-} \cdot 3$
10461	Solve the System of Equations	-x+y=1 x+y=11	$- x + y = 1$ $x + y = 11$
10462	Graph	x+y>1 -x-y<-3	$x + y > 1$ $- x - y < - 3$
10463	Write in Standard Form	y=(x-5)(4x+3)	$y = (x - 5) (4 x + 3)$
10464	Subtract	(4e^4+7e^3-9e^2+4e)-(-e^3+5e^2-7e)	$(4 e^{4} + 7 e^{3} - 9 e^{2} + 4 e) - (- e^{3} + 5 e^{2} - 7 e)$
10465	Evaluate	((5^3)/(5^4))^-3	${(\frac{5^{3}}{5^{4}})}^{- 3}$
10466	Find the Domain and Range	g(x)=tan(x-pi)	$g (x) = \tan (x - π)$
10467	Solve the System of Inequalities	3x+y<=3 2x-y<4	$3 x + y \leq 3$ $2 x - y < 4$
10468	Find the Domain and Range	f(x)=4cot(2x)+3	$f (x) = 4 \cot (2 x) + 3$
10469	Factor	216+8m^3+216m+72m^2	$216 + 8 m^{3} + 216 m + 72 m^{2}$
10470	Solve for x	3x^(2/3)-30=18	$3 x^{\frac{2}{3}} - 30 = 18$
10471	Evaluate the Function	f(-1.5)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (- 1.5) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
10472	Solve by Addition/Elimination	x=-20y+12 2x-3y=-19	$x = - 20 y + 12$ $2 x - 3 y = - 19$
10473	Divide	(2 square root of 3)÷2	$2 \sqrt{3} \div 2$
10474	Simplify	(2x^-2y^3)/(3xy^-4)	$\frac{2 x^{- 2} y^{3}}{3 x y^{- 4}}$
10475	Graph	f(x)=cos((2x)/3)	$f (x) = \cos (\frac{2 x}{3})$
10476	Solve for x	2x^2-2/3=5 1/3	$2 x^{2} - \frac{2}{3} = 5 \frac{1}{3}$
10477	Write in Standard Form	16r^2s^2	$16 r^{2} s^{2}$
10478	Simplify	((42^(1/3))/(6^(1/3)))^2	${(\frac{42^{\frac{1}{3}}}{6^{\frac{1}{3}}})}^{2}$
10479	Simplify	cube root of (s^-3)/(s^-4)	$\sqrt[3]{\frac{s^{- 3}}{s^{- 4}}}$
10480	Evaluate	(d^2)y=0	$(d^{2}) y = 0$
10481	Integrate By Parts	integral of (x^2+2x)cos(x) with respect to x	$\int (x^{2} + 2 x) \cos (x) d x$
10482	Find the End Behavior	f(x)=-8x^6+8x^4-8960+2336x^2-80x^5+1648x^3-5312x	$f (x) = - 8 x^{6} + 8 x^{4} - 8960 + 2336 x^{2} - 80 x^{5} + 1648 x^{3} - 5312 x$
10483	Write Using Positive Exponents	(a^3b^-2c^4d)/(a^-2b^3c^2d^-3)	$\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$
10484	Convert to Interval Notation	x>1/x	$x > \frac{1}{x}$
10485	Simplify the Radical Expression	cube root of -6x^5* cube root of -18x^4	$\sqrt[3]{- 6 x^{5}} \cdot \sqrt[3]{- 18 x^{4}}$
10486	Find the Antiderivative	((x^2+1)/x)^2	${(\frac{x^{2} + 1}{x})}^{2}$
10487	Graph	x^2+y<=-4	$x^{2} + y \leq - 4$
10488	Solve the Inequality for x	2x<x+22	$2 x < x + 22$
10489	Simplify	( cube root of x^6y^10)/( square root of x^2y^3)	$\frac{\sqrt[3]{x^{6} y^{10}}}{\sqrt[2]{x^{2} y^{3}}}$
10490	Solve the Inequality for h	5<3h+2<=11	$5 < 3 h + 2 \leq 11$
10491	Solve the System of Equations	3x-2y-z=4 x-y-2z=0 4x+3y+z=2	$3 x - 2 y - z = 4$ $x - y - 2 z = 0$ $4 x + 3 y + z = 2$
10492	Simplify	\|1+i\|	$\| 1 + i \|$
10493	Evaluate	c=5/9*(f-32)	$c = \frac{5}{9} \cdot (f - 32)$
10494	Convert from Degrees to Radians	140deg	$140$ degrees
10495	Solve for h	-19+8h=2h+7h+1	$- 19 + 8 h = 2 h + 7 h + 1$
10496	Simplify	(3i^5)^2	${(3 i^{5})}^{2}$
10497	Simplify	-2x2xx	$- 2 x \cdot 2 x \cdot x$
10498	Simplify	(12x-5y)+(4x+5y)	$(12 x - 5 y) + (4 x + 5 y)$
10499	Simplify	4^05^-26^-1*100^0	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0}$
10500	Solve for x	3/x=9/(3x)-1	$\frac{3}{x} = \frac{9}{3 x} - 1$