Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5401	Simplify	(4a^3b^4)(5ab^2)+(a^2b^5)(-2a^2b)	$(4 a^{3} b^{4}) (5 a b^{2}) + (a^{2} b^{5}) (- 2 a^{2} b)$
5402	Evaluate the Integral	integral of 3xtan(5x^2-3) with respect to x	$\int 3 x \tan (5 x^{2} - 3) d x$
5403	Subtract	(7p^2+3p)-(5p^2+4)	$(7 p^{2} + 3 p) - (5 p^{2} + 4)$
5404	Multiply	10^23	$10^{23}$
5405	Simplify the Radical Expression	i^28	$i^{28}$
5406	Write the Fraction in Simplest Form	(12h^9)/((3h^4)^5)	$\frac{12 h^{9}}{{(3 h^{4})}^{5}}$
5407	Simplify the Radical Expression	fourth root of 5/8	$\sqrt[4]{\frac{5}{8}}$
5408	Write in Standard Form	2i^3(5-12i)	$2 i^{3} (5 - 12 i)$
5409	Simplify the Radical Expression	2 square root of 3( square root of 27-8 square root of 6)	$2 \sqrt{3} (\sqrt{27} - 8 \sqrt{6})$
5410	Graph	y>-1/2x-8y	$y > - \frac{1}{2} x - 8 y$
5411	Find the Exact Value	11-3*2+2^3+90÷6	$11 - 3 \times 2 + 2^{3} + 90 \div 6$
5412	Evaluate	12tan(pi/6)^2+24sec(pi/3)^2	$12 \tan^{2} (\frac{π}{6}) + 24 \sec^{2} (\frac{π}{3})$
5413	Find the End Behavior	f(x)=-1/2x^2+6x^3-x	$f (x) = - \frac{1}{2} x^{2} + 6 x^{3} - x$
5414	Simplify	(6x^3+29x^2+23x-34)(x+3)^-1	$(6 x^{3} + 29 x^{2} + 23 x - 34) {(x + 3)}^{- 1}$
5415	Find Where Increasing/Decreasing	g(x)=x^5+x^4	$g (x) = x^{5} + x^{4}$
5416	Simplify	(3y^(-5/4))/(y^-1*2y^(-1/3))	$\frac{3 y^{- \frac{5}{4}}}{y^{- 1} \cdot 2 y^{- \frac{1}{3}}}$
5417	Evaluate the Function	f(-1)=3(2)^-1	$f (- 1) = 3 {(2)}^{- 1}$
5418	Solve for x	3^(2x^2+12)=(1/9)^(-14x+34)	$3^{2 x^{2} + 12} = {(\frac{1}{9})}^{- 14 x + 34}$
5419	Simplify	(1+ square root of 6)(5- square root of 7)	$(1 + \sqrt{6}) (5 - \sqrt{7})$
5420	Add	15+18 , 36-75+84 , 214-0 , 25	$15 + 18$ , $36 - 75 + 84$ , $214 - 0$ , $25$
5421	Simplify	((3q^(5/2)r^(1/4))/(6^(1/2)))^2	${(\frac{3 q^{\frac{5}{2}} r^{\frac{1}{4}}}{6^{\frac{1}{2}}})}^{2}$
5422	Solve for c	2/5=4/5c	$\frac{2}{5} = \frac{4}{5} c$
5423	Simplify	(10-(2-8)^2)÷(3^2+2^2)	$(10 - {(2 - 8)}^{2}) \div (3^{2} + 2^{2})$
5424	Simplify	2a(3a^2b)^2	$2 a {(3 a^{2} b)}^{2}$
5425	Solve for m	-4(5m+6)=6m+3(-10m-4)	$- 4 (5 m + 6) = 6 m + 3 (- 10 m - 4)$
5426	Simplify	(-2xy)^-3	${(- 2 x y)}^{- 3}$
5427	Convert from Radians to Degrees	2.32rad	$2.32$ rad
5428	Plot	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
5429	Write in Slope-Intercept Form	x+y<-8	$x + y < - 8$
5430	Solve for b	(2b-3)/7-b/2=(b+3)/14	$\frac{2 b - 3}{7} - \frac{b}{2} = \frac{b + 3}{14}$
5431	Find the Excluded Values	(x^2-14x+49)/(6x^2-42x)	$\frac{x^{2} - 14 x + 49}{6 x^{2} - 42 x}$
5432	Solve for f	4(f-0.2)=5f	$4 (f - 0.2) = 5 f$
5433	Simplify	(p^5r^2)^4(-7p^3r^4)(6pr^3)	${(p^{5} r^{2})}^{4} (- 7 p^{3} r^{4}) (6 p r^{3})$
5434	Solve for x	x=5+ square root of 4x-20	$x = 5 + \sqrt{4 x - 20}$
5435	Solve for x	2x^2-8x-10=x+8	$2 x^{2} - 8 x - 10 = x + 8$
5436	Solve for x	6 square root of 8x-32-13<=11	$6 \sqrt{8 x - 32} - 13 \leq 11$
5437	Solve for x	2cos(x)=4cos(x)sin(x)^2	$2 \cos (x) = 4 \cos (x) \sin^{2} (x)$
5438	Graph	y>-3 y>=5x	$y > - 3$ $y \geq 5 x$
5439	Simplify	(-(x-1))/(1-x)	$\frac{- (x - 1)}{1 - x}$
5440	Solve for x	3(x+5)^(1/2)-6=0	$3 {(x + 5)}^{\frac{1}{2}} - 6 = 0$
5441	Find the Exact Value	sin(30 degrees )-cos(45 degrees )	$\sin (30 °) - \cos (45 °)$
5442	Write in Standard Form	x=y^2-8y-11	$x = y^{2} - 8 y - 11$
5443	Simplify	( square root of 27- square root of 7)/( square root of 21-3)	$\frac{\sqrt{27} - \sqrt{7}}{\sqrt{21} - 3}$
5444	Find the GCF	-3k^3+15k^2-6k	$- 3 k^{3} + 15 k^{2} - 6 k$
5445	Find the Antiderivative	(x^2)/( square root of x)	$\frac{x^{2}}{\sqrt{x}}$
5446	Simplify	((m-3)^2)/(m^2-6m+9)*(m^3-9m)/(m^2-9)	$\frac{{(m - 3)}^{2}}{m^{2} - 6 m + 9} \cdot \frac{m^{3} - 9 m}{m^{2} - 9}$
5447	Simplify	square root of (x^6)/(y^2)	$\sqrt{\frac{x^{6}}{y^{2}}}$
5448	Simplify	(x^4-1)/(x^2+1)	$\frac{x^{4} - 1}{x^{2} + 1}$
5449	Simplify	2x^2-(x-2y)(2x+y)	$2 x^{2} - (x - 2 y) (2 x + y)$
5450	Solve for x	10 = square root of x/9+10	$10 = \sqrt{\frac{x}{9}} + 10$
5451	Simplify	-5x^2(3xy^0z)^4	$- 5 x^{2} {(3 x y^{0} z)}^{4}$
5452	Graph	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
5453	Write in Standard Form	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
5454	Find the Asymptotes	j(x)=tan(pi/2x)	$j (x) = \tan (\frac{π}{2} x)$
5455	Simplify	(1/(a^-1+b^-1))^-1	${(\frac{1}{a^{- 1} + b^{- 1}})}^{- 1}$
5456	Evaluate	sin(arcsec(x))	$\sin (arcsec (x))$
5457	Divide Using Long Polynomial Division	(-x^5y^5-1/4x^3y^2+2/3x^5y-6xy^3)÷(-3x^2y^3)	$(- x^{5} y^{5} - \frac{1}{4} x^{3} y^{2} + \frac{2}{3} x^{5} y - 6 x y^{3}) \div (- 3 x^{2} y^{3})$
5458	Simplify	-1/4(20z+24)	$- \frac{1}{4} (20 z + 24)$
5459	Solve for x	square root of 4x-2 = square root of x+15	$\sqrt{4 x} - 2 = \sqrt{x + 15}$
5460	Solve for m	(-4t+m)/3=4m	$\frac{- 4 t + m}{3} = 4 m$
5461	Evaluate the Integral	integral from 0 to 1 of arctan(4x) with respect to x	$\int_{0}^{1} \arctan (4 x) d x$
5462	Solve for g	1 7/10g=135	$1 \frac{7}{10} g = 135$
5463	Find the Inverse	d(x)=(x+8)^2	$d (x) = {(x + 8)}^{2}$
5464	Simplify	(x^16y^20z^8)1/4	$(x^{16} y^{20} z^{8}) \frac{1}{4}$
5465	Simplify	( square root of 20)/2+ square root of 5/4	$\frac{\sqrt{20}}{2} + \sqrt{\frac{5}{4}}$
5466	Simplify	6xy^3z*3x^2yx^2	$6 x y^{3} z \cdot 3 x^{2} y x^{2}$
5467	Evaluate	(-2-3)^3+3^-3(-4)	${(- 2 - 3)}^{3} + 3^{- 3} (- 4)$
5468	Solve for j	5.3j+0.85=7j	$5.3 j + 0.85 = 7 j$
5469	Simplify	2a^2b^2+2b^2c^2+2a^2c^2-a^4-b^4-c^4	$2 a^{2} b^{2} + 2 b^{2} c^{2} + 2 a^{2} c^{2} - a^{4} - b^{4} - c^{4}$
5470	Solve for x	square root of x+7-x=1	$\sqrt{x + 7 - x} = 1$
5471	Find the Antiderivative	f(x)=2 cube root of x-2/(x^4)+5x^3-8/( square root of x)-1	$f (x) = 2 \sqrt[3]{x} - \frac{2}{x^{4}} + 5 x^{3} - \frac{8}{\sqrt{x}} - 1$
5472	Simplify	((10y^4)/(4y^6))^-2	${(\frac{10 y^{4}}{4 y^{6}})}^{- 2}$
5473	Solve for x	x^3+1=4x^2	$x^{3} + 1 = 4 x^{2}$
5474	Simplify	( square root of 7-7)(1+ square root of 7)	$(\sqrt{7} - 7) (1 + \sqrt{7})$
5475	Solve for x	cube root of 6-3x-2=0	$\sqrt[3]{6 - 3 x} - 2 = 0$
5476	Simplify the Radical Expression	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
5477	Find the Antiderivative	f(x)=6x-9+3x^5	$f (x) = 6 x - 9 + 3 x^{5}$
5478	Evaluate	(42x^-4y^10z^3)/(6x^2y^-2z)	$\frac{42 x^{- 4} y^{10} z^{3}}{6 x^{2} y^{- 2} z}$
5479	Evaluate	7x^-4y^0	$7 x^{- 4} y^{0}$
5480	Solve the Function Operation	cos(theta)=-4/5 , theta in Quadrant II	$\cos (θ) = - \frac{4}{5}$ , $θ$ in Quadrant $I \cdot I$
5481	Find the Exact Value	csc(30 degrees )tan(60 degrees )	$\csc (30 °) \tan (60 °)$
5482	Find the Domain	a/(a^2-9)+3/(9-a^2)	$\frac{a}{a^{2} - 9} + \frac{3}{9 - a^{2}}$
5483	Simplify	((x^3-2x)/(14x^2))÷((5x^3-10x)/(-7x))	$\frac{x^{3} - 2 x}{14 x^{2}} \div \frac{5 x^{3} - 10 x}{- 7 x}$
5484	Solve the Inequality for m	m-3/8>1/2	$m - \frac{3}{8} > \frac{1}{2}$
5485	Simplify	(3/(6p+18))÷(1/(p+3))	$\frac{3}{6 p + 18} \div \frac{1}{p + 3}$
5486	Multiply	(mn+1)(m^2n-1)(mn^2+2)	$(m n + 1) (m^{2} n - 1) (m n^{2} + 2)$
5487	Simplify	((72^(1/5))/(9^(1/5)))^3	${(\frac{72^{\frac{1}{5}}}{9^{\frac{1}{5}}})}^{3}$
5488	Graph	7x+2>=30 or 2x-3<=-11	$7 x + 2 \geq 30$ or $2 x - 3 \leq - 11$
5489	Simplify	(2^(x-1)+2^(x-2))*2^(-x+2)	$(2^{x - 1} + 2^{x - 2}) \cdot 2^{- x + 2}$
5490	Graph	-4x+3>-9 and -6x<=12	$- 4 x + 3 > - 9$ and $- 6 x \leq 12$
5491	Divide	(30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)	$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$
5492	Solve for n	(b^5)/(b^n)=1/b	$\frac{b^{5}}{b^{n}} = \frac{1}{b}$
5493	Graph	f(x)=-2x+x^3+3x^5-4	$f (x) = - 2 x + x^{3} + 3 x^{5} - 4$
5494	Solve for x	(1/2)^(7x+1)=-9	${(\frac{1}{2})}^{7 x + 1} = - 9$
5495	Find Where Increasing/Decreasing	f(x)=-3/4x^4-x^3+108x^2+1	$f (x) = - \frac{3}{4} x^{4} - x^{3} + 108 x^{2} + 1$
5496	Find Where Increasing/Decreasing	y=8*(1/4)^x	$y = 8 \cdot {(\frac{1}{4})}^{x}$
5497	Divide	9÷( square root of 2)	$9 \div \sqrt{2}$
5498	Graph	y>=5/2y+5	$y \geq \frac{5}{2} y + 5$
5499	Solve for r	-6-2r-7=17+r	$- 6 - 2 r - 7 = 17 + r$
5500	Simplify the Radical Expression	cube root of fifth root of -64	$\sqrt[3]{\sqrt[5]{- 64}}$