Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5501	Simplify	cube root of fifth root of -64	$\sqrt[3]{\sqrt[5]{- 64}}$
5502	Simplify	2/(9x^3)+4/(9x^3)	$\frac{2}{9 x^{3}} + \frac{4}{9 x^{3}}$
5503	Solve the Rational Equation for x	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
5504	Graph	-x+y<=-1 x+2y>=4	$- x + y \leq - 1$ $x + 2 y \geq 4$
5505	Evaluate the Integral	integral of 3x^2(2x-5)(3x-1) with respect to x	$\int 3 x^{2} (2 x - 5) (3 x - 1) d x$
5506	Solve for x	(2x)/(2x+5)=3/4-6/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{3}{4} - \frac{6}{4 x + 10}$
5507	Simplify	(63a^2b^4c^7)/(-7a^2b^3c^5)	$\frac{63 a^{2} b^{4} c^{7}}{- 7 a^{2} b^{3} c^{5}}$
5508	Solve for x	square root of 6+x- square root of x-5=2	$\sqrt{6 + x} - \sqrt{x - 5} = 2$
5509	Graph	The graph of y=f(x) is graphed below. What is the end behavior of f(x) ?	The graph of $y = f (x)$ is graphed below. What is the end behavior of $f (x)$ ?
5510	Simplify	2i square root of 25-4i square root of 4	$2 i \sqrt{25} - 4 i \sqrt{4}$
5511	Convert to a Decimal	256mi per 8gal	$256 miles$ per $8 gallons$
5512	Solve the System of Inequalities	5h-4>=6 and 7h+11<32	$5 h - 4 \geq 6$ and $7 h + 11 < 32$
5513	Integrate By Parts	integral of xsin(2x) with respect to x	$\int x \sin (2 x) d x$
5514	Find the x and y Intercepts	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
5515	Solve for z	1-4z=-6-9z+6z	$1 - 4 z = - 6 - 9 z + 6 z$
5516	Simplify	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
5517	Solve for x	square root of x+5-1 = square root of x	$\sqrt{x + 5} - 1 = \sqrt{x}$
5518	Solve for w	-w/20=-2.5	$- \frac{w}{20} = - 2.5$
5519	Simplify	1/2x=5/6	$\frac{1}{2} x = \frac{5}{6}$
5520	Solve the Inequality for p	2(p+1)>7+p	$2 (p + 1) > 7 + p$
5521	Simplify	((4^-4)÷(2^8))÷(2^-10)	$(4^{- 4} \div 2^{8}) \div 2^{- 10}$
5522	Find the Domain	F(x)=x-1	$F (x) = x - 1$
5523	Solve for c	6-2c- natural log of c=0	$6 - 2 c - \ln (c) = 0$
5524	Find the Holes in the Graph	(-3x^2+9x-6)/(2x^2-8)	$\frac{- 3 x^{2} + 9 x - 6}{2 x^{2} - 8}$
5525	Determine if Continuous	f(x)=-3x+7 if x<=3; -2 if x>3	$f (x) = {\begin{cases} - 3 x + 7 & x \leq 3 \\ - 2 & x > 3 \end{cases}$
5526	Find the Antiderivative	arccos(x)	$\arccos (x)$
5527	Solve by Substitution	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
5528	Solve for d	square root of d+1+2 = square root of 9-d	$\sqrt{d + 1} + 2 = \sqrt{9 - d}$
5529	Subtract	(2/9v)-(-1/3v+5/9)	$(\frac{2}{9} v) - (- \frac{1}{3} v + \frac{5}{9})$
5530	Solve for S	S(t)=1/3t^3-3.5t^2+10t	$S (t) = \frac{1}{3} t^{3} - 3.5 t^{2} + 10 t$
5531	Solve for n	(mx+ny)^2=4x^2+12xy+9y^2	${(m x + n y)}^{2} = 4 x^{2} + 12 x y + 9 y^{2}$
5532	Simplify	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
5533	Simplify	((x+8)/2)÷((3x+24)/5)	$\frac{x + 8}{2} \div \frac{3 x + 24}{5}$
5534	Simplify	(6 square root of 5- square root of 125)* square root of 45	$(6 \sqrt{5} - \sqrt{125}) \cdot \sqrt{45}$
5535	Find the Degree, Leading Term, and Leading Coefficient	-7+(x^4)/5+8x	$- 7 + \frac{x^{4}}{5} + 8 x$
5536	Divide Using Synthetic Division	(x^5-4x^3+4x^2)÷(x-4)	$(x^{5} - 4 x^{3} + 4 x^{2}) \div (x - 4)$
5537	Simplify	((x+1)/(x+2))(x+2)	$(\frac{x + 1}{x + 2}) (x + 2)$
5538	Simplify	i square root of 1 1/2*i square root of 4/3	$i \sqrt{1 \frac{1}{2}} \cdot i \sqrt{\frac{4}{3}}$
5539	Solve for x	4/((x+1)^2)-1/((x-1)^2)+1/(x^2-1)=0	$\frac{4}{{(x + 1)}^{2}} - \frac{1}{{(x - 1)}^{2}} + \frac{1}{x^{2} - 1} = 0$
5540	Solve for c	square root of c=4	$\sqrt{c} = 4$
5541	Solve for x	3^(x+1)+3^(3-x)=30	$3^{x + 1} + 3^{3 - x} = 30$
5542	Evaluate the Integral	integral of (4t^3-t^2+16t)/(t^2+4) with respect to t	$\int \frac{4 t^{3} - t^{2} + 16 t}{t^{2} + 4} d t$
5543	Solve for x	32^(3x-4)>128^(4x+3)	$32^{3 x - 4} > 128^{4 x + 3}$
5544	Solve by Addition/Elimination	3x=2y-7 2x-5y=10	$3 x = 2 y - 7$ $2 x - 5 y = 10$
5545	Simplify	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
5546	Solve the System of Equations	x-y=0 5x-2y=6	$x - y = 0$ $5 x - 2 y = 6$
5547	Multiply	26/5226/5125/50	$\frac{26}{52} \cdot \frac{26}{51} \cdot \frac{25}{50}$
5548	Solve for m	16*2^(6m)=2^(3m-8)	$16 \cdot 2^{6 m} = 2^{3 m - 8}$
5549	Solve for x	square root of 8x-3 = square root of 10x-4	$\sqrt{8 x} - 3 = \sqrt{10 x - 4}$
5550	Evaluate	2^x+2^x	$2^{x} + 2^{x}$
5551	Find the GCF	64+40x^2+72x	$64 + 40 x^{2} + 72 x$
5552	Evaluate	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
5553	Simplify	((20^(1/2))/(5^(1/2)))^3	${(\frac{20^{\frac{1}{2}}}{5^{\frac{1}{2}}})}^{3}$
5554	Describe the Transformation	f(x)=5*(4/5)^(x+3)	$f (x) = 5 \cdot {(\frac{4}{5})}^{x + 3}$
5555	Solve for T	T=w-ma	$T = w - m a$
5556	Solve for x	x square root of 6=5 square root of 6	$x \sqrt{6} = 5 \sqrt{6}$
5557	Factor	-18x^3y+96x^2y^2-128xy^3	$- 18 x^{3} y + 96 x^{2} y^{2} - 128 x y^{3}$
5558	Solve the Inequality for x	2(x-8)<=x-12	$2 (x - 8) \leq x - 12$
5559	Solve the Inequality for g	7(g-19)>=-14	$7 (g - 19) \geq - 14$
5560	Find dy/dx	natural log of x^2+y^2+2arctan(x/y)=0	$\ln (x^{2} + y^{2}) + 2 \arctan (\frac{x}{y}) = 0$
5561	Find the Domain	((y^2-16)/(y^2-10y+25))÷((3y-12)/(y^2-3y-10))	$\frac{y^{2} - 16}{y^{2} - 10 y + 25} \div \frac{3 y - 12}{y^{2} - 3 y - 10}$
5562	Find the Complex Conjugate	square root of 3- square root of 5	$\sqrt{3} - \sqrt{5}$
5563	Simplify	2c-3-5c+7+9c-c	$2 c - 3 - 5 c + 7 + 9 c - c$
5564	Simplify	(2x+1)/(2x)+7/x	$\frac{2 x + 1}{2 x} + \frac{7}{x}$
5565	Solve for x	2(x+5)^4=128	$2 {(x + 5)}^{4} = 128$
5566	Solve for x	(x^2-4)/(x-2)=2x-1	$\frac{x^{2} - 4}{x - 2} = 2 x - 1$
5567	Solve for x	-x-6+4x=-10-5x-7	$- x - 6 + 4 x = - 10 - 5 x - 7$
5568	Solve for x	fourth root of x+5+2=0	$\sqrt[4]{x + 5} + 2 = 0$
5569	Solve by Graphing	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
5570	Find the x and y Intercepts	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
5571	Solve for d	d^2=-5	$d^{2} = - 5$
5572	Evaluate the Limit	limit as x approaches 0 of (sin(2x))/(cos(2x))	$lim_{x \to 0} \frac{\sin (2 x)}{\cos (2 x)}$
5573	Simplify	(3^(3/4)*27^(3/4))/(9^(3/4))	$\frac{3^{\frac{3}{4}} \cdot 27^{\frac{3}{4}}}{9^{\frac{3}{4}}}$
5574	Simplify	(-12c^3d^0f^-2)/(6c^5d^-3f^4)	$\frac{- 12 c^{3} d^{0} f^{- 2}}{6 c^{5} d^{- 3} f^{4}}$
5575	Find the Antiderivative	3x+8x^3+x^-3+5x^2	$3 x + 8 x^{3} + x^{- 3} + 5 x^{2}$
5576	Find the First Term	a_n=2*(1/4)^(n-1)	$a_{n} = 2 \cdot {(\frac{1}{4})}^{n - 1}$
5577	Find the Derivative - d/dx	y = square root of 12x	$y = \sqrt{12 x}$
5578	Evaluate	-2^6*(-1^7)	$- 2^{6} \cdot (- 1^{7})$
5579	Solve for x	2 square root of 3x+6-8<=4	$2 \sqrt{3 x + 6} - 8 \leq 4$
5580	Solve the System of Inequalities	x-y<=2 x+2y>=1	$x - y \leq 2$ $x + 2 y \geq 1$
5581	Subtract	(4x)/(x^2-1)-4/(x-1)	$\frac{4 x}{x^{2} - 1} - \frac{4}{x - 1}$
5582	Solve the Rational Equation for x	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
5583	Solve for x	x-10x^2=0	$x - 10 x^{2} = 0$
5584	Simplify the Radical Expression	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
5585	Solve for r	square root of r=2	$\sqrt{r} = 2$
5586	Simplify	-6r^-5s^-2*(-2r^3s^-2)^3	$- 6 r^{- 5} s^{- 2} \cdot {(- 2 r^{3} s^{- 2})}^{3}$
5587	Simplify	( square root of x^7)( square root of x^3)	$(\sqrt{x^{7}}) (\sqrt{x^{3}})$
5588	Simplify	((2x^-2)/3)((3x)/4)^2	$(\frac{2 x^{- 2}}{3}) {(\frac{3 x}{4})}^{2}$
5589	Evaluate	(x^2y^-1)^2	${(x^{2} y^{- 1})}^{2}$
5590	Solve for b	-8+2(2b-3)=-6+10b-8b	$- 8 + 2 (2 b - 3) = - 6 + 10 b - 8 b$
5591	Solve for x	(x+2)/(x-3)+3/(x-3)=3	$\frac{x + 2}{x - 3} + \frac{3}{x - 3} = 3$
5592	Evaluate	(infinity+negative infinity)^infinity	${(\infty + - \infty)}^{\infty}$
5593	Evaluate	7x^3=189	$7 x^{3} = 189$
5594	Evaluate	sin(pi/4)-cos(pi/4)	$\sin (\frac{π}{4}) - \cos (\frac{π}{4})$
5595	Solve for m	5/8m>-40	$\frac{5}{8} m > - 40$
5596	Solve for k	-7(-5k+10)+1=10+6k+8	$- 7 (- 5 k + 10) + 1 = 10 + 6 k + 8$
5597	Convert to Radical Form	9^(2/4)	$9^{\frac{2}{4}}$
5598	Solve the Inequality for X	-5X>20	$- 5 X > 20$
5599	Simplify	(1/(1+x))^2	${(\frac{1}{1 + x})}^{2}$
5600	Simplify	square root of cos(x)^2+ square root of x^2	$\sqrt{\cos^{2} (x)} + \sqrt{x^{2}}$