Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
17001	Find the Excluded Values	((5x^2+10x)/(x^2+2x+1))÷((20x+40)/(x^2-1))	$\frac{5 x^{2} + 10 x}{x^{2} + 2 x + 1} \div \frac{20 x + 40}{x^{2} - 1}$
17002	Solve the Absolute Value Inequality for x	(2\|x+1\|)/3=6	$\frac{2 \| x + 1 \|}{3} = 6$
17003	Find the Maximum/Minimum Value	e^x+e^(-x)	$e^{x} + e^{- x}$
17004	Find dy/dx	y square root of y^3+1=x	$y \sqrt{y^{3} + 1} = x$
17005	Find the Product	(r^3-6t^4)(r^3+6t^4)	$(r^{3} - 6 t^{4}) (r^{3} + 6 t^{4})$
17006	Solve for x	natural log of x^2-9+ natural log of 9 = natural log of 40	$\ln (x^{2} - 9) + \ln (9) = \ln (40)$
17007	Solve for x	20x=5x^2+20	$20 x = 5 x^{2} + 20$
17008	Find All Complex Solutions	d^2+d-7=-5	$d^{2} + d - 7 = - 5$
17009	Solve for x	(3x)/(x+2)=5/9	$\frac{3 x}{x + 2} = \frac{5}{9}$
17010	Simplify	(2x+y)(3x^2+2xy+5y^2)	$(2 x + y) (3 x^{2} + 2 x y + 5 y^{2})$
17011	Evaluate the Integral	integral from 0 to 1 of x^3e^(-x^4) with respect to x	$\int_{0}^{1} x^{3} e^{- x^{4}} d x$
17012	Write in Slope-Intercept Form	3x+2y<0	$3 x + 2 y < 0$
17013	Write in y=mx+b Form	(3,-8) and (6,-4)	$(3, - 8)$ and $(6, - 4)$
17014	Find the Exact Value	sec(-420)	$\sec (- 420)$
17015	Write in Exponential Form	1/(( sixth root of n)^5)	$\frac{1}{{(\sqrt[6]{n})}^{5}}$
17016	Solve for x	7 cube root of x-3>=21	$7 \sqrt[3]{x - 3} \geq 21$
17017	Evaluate the Integral	integral from 0 to 1 of x/( square root of 4-4x^2) with respect to x	$\int_{0}^{1} \frac{x}{\sqrt{4 - 4 x^{2}}} d x$
17018	Find the Domain and Range	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
17019	Simplify	3n-1/2*0.3n	$3 n - \frac{1}{2} \cdot 0.3 n$
17020	Write in Standard Form	-3mn(m^2n^3+2mn)	$- 3 m n (m^{2} n^{3} + 2 m n)$
17021	Evaluate	45+27÷3-(4^2+6)	$45 + 27 \div 3 - (4^{2} + 6)$
17022	Graph	y-1/2x=-1	$y - \frac{1}{2} x = - 1$
17023	Evaluate	(2^23^-3)/(2^-13)	$\frac{2^{2} \cdot 3^{- 3}}{2^{- 1} \cdot 3}$
17024	Simplify	(3x^2y^4)^2(-4xy^5)	${(3 x^{2} y^{4})}^{2} (- 4 x y^{5})$
17025	Simplify	y^5y^3-(y^-2)^4	$y^{5} y^{3} - {(y^{- 2})}^{4}$
17026	Solve Using the Square Root Property	3(x+4)^2+47=50	$3 {(x + 4)}^{2} + 47 = 50$
17027	Find the Domain of the Quotient of the Two Functions	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
17028	Simplify	5+20-4^2	$5 + 20 - 4^{2}$
17029	Evaluate the Integral	integral from 2 to infinity of 5/((x+2)( natural log of x+2)^2) with respect to x	$\int_{2}^{\infty} \frac{5}{(x + 2) \ln^{2} (x + 2)} d x$
17030	Solve the Rational Equation for x	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
17031	Find the Antiderivative	1/(x* natural log of x)	$\frac{1}{x \cdot \ln (x)}$
17032	Simplify	( square root of x^3)/( cube root of x^2)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{x^{2}}}$
17033	Solve the Inequality for f	f-5.2>=1.6	$f - 5.2 \geq 1.6$
17034	Solve for x	-13x^2-9x+4=5+2x^2-x	$- 13 x^{2} - 9 x + 4 = 5 + 2 x^{2} - x$
17035	Solve for p	fourth root of p+2=3	$\sqrt[4]{p + 2} = 3$
17036	Simplify	(3/x-x/3)((3x)/(x^2+6x+9))	$(\frac{3}{x} - \frac{x}{3}) (\frac{3 x}{x^{2} + 6 x + 9})$
17037	Evaluate	2/3(2)^3	$\frac{2}{3} {(2)}^{3}$
17038	Find the LCD	(3x)/(7x+14) and -6/(x+2)	$\frac{3 x}{7 x + 14}$ and $\frac{- 6}{x + 2}$
17039	Multiply	x^2y^-4*x^3y^2	$x^{2} y^{- 4} \cdot x^{3} y^{2}$
17040	Solve for x	6x+9=x^2	$6 x + 9 = x^{2}$
17041	Simplify	(21f^2g^(7/4))/(7(fg^(3/4)))	$\frac{21 f^{2} g^{\frac{7}{4}}}{7 f g^{\frac{3}{4}}}$
17042	Solve for d	d-7=(4d+3)/e	$d - 7 = \frac{4 d + 3}{e}$
17043	Evaluate the Integral	integral from 0 to k of (2kx-x^2) with respect to x=18	$\int_{0}^{k} (2 k x - x^{2}) d x = 18$
17044	Find the x and y Intercepts	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
17045	Solve Using the Quadratic Formula	x^2+12x=7x+1	$x^{2} + 12 x = 7 x + 1$
17046	Evaluate the Limit	limit as x approaches 1 of cos(x/3)	$lim_{x \to 1} \cos (\frac{x}{3})$
17047	Rationalize the Denominator	7/(-2+ square root of 13)	$\frac{7}{- 2 + \sqrt{13}}$
17048	Graph	y=-2x(x+1)(x-2)	$y = - 2 x (x + 1) (x - 2)$
17049	Solve for x	(4x-2)/(2x)=7	$\frac{4 x - 2}{2 x} = 7$
17050	Evaluate	4*(1/2)^1	$4 \cdot {(\frac{1}{2})}^{1}$
17051	Find the Domain	y=1/( square root of 6-2x)	$y = \frac{1}{\sqrt{6 - 2 x}}$
17052	Write the Fraction in Simplest Form	((5w^-4h^5)^-4)/(4w^2)	$\frac{{(5 w^{- 4} h^{5})}^{- 4}}{4 w^{2}}$
17053	Simplify	((3x^-1)/(9y^2))^-2	${(\frac{3 x^{- 1}}{9 y^{2}})}^{- 2}$
17054	Multiply	(3x^4+2x)*(2x^2-5x+34)	$(3 x^{4} + 2 x) \cdot (2 x^{2} - 5 x + 34)$
17055	Solve for n	square root of n-5=30	$\sqrt{n} - 5 = 30$
17056	Add	2ab+4ac-5c ; con , -6c+7ab	$2 a b + 4 a c - 5 c$ ; con , $- 6 c + 7 a b$
17057	Find the GCF	16 and 20	$16$ and $20$
17058	Find the Tangent Line at (1/2,32)	f(t)=t^-5 ;, (1/2,32)	$f (t) = t^{- 5}$ ;, $(\frac{1}{2}, 32)$
17059	Evaluate the Summation	sum from i=7 to 23 of 2x+1	$\sum_{i = 7}^{23} 2 x + 1$
17060	Evaluate	1/2pi(2)^2	$\frac{1}{2} π {(2)}^{2}$
17061	Find the Product	(5y-20)/(3y+15)*(7y+35)/(10y+40)	$\frac{5 y - 20}{3 y + 15} \cdot \frac{7 y + 35}{10 y + 40}$
17062	Solve for b	11=5+ square root of 35b+1	$11 = 5 + \sqrt{35 b + 1}$
17063	Find Amplitude, Period, and Phase Shift	f(x)=2*cos(x+pi)	$f (x) = 2 \cdot \cos (x + π)$
17064	Solve for b	ab=cde	$a b = c d e$
17065	Simplify/Condense	2 log base b of 2- log base b of 4	$2 \log_{b} (2) - \log_{b} (4)$
17066	Evaluate the Integral	integral from -2 to 1 of (x^4+x^3-4x^2+6) with respect to x	$\int_{- 2}^{1} (x^{4} + x^{3} - 4 x^{2} + 6) d x$
17067	Find the Asymptotes	y=((x-4)(x+5))/((x+5)(x+5))	$y = \frac{(x - 4) (x + 5)}{(x + 5) (x + 5)}$
17068	Solve the Function Operation	2((2x+3)/(x-3))-25(x-3)/(2x+3)=5 , x!=3 and x!=-3/2	$2 (\frac{2 x + 3}{x - 3}) - 25 \frac{x - 3}{2 x + 3} = 5$ , $x \neq 3$ and $x \neq - \frac{3}{2}$
17069	Add	4/10+40/100	$\frac{4}{10} + \frac{40}{100}$
17070	Simplify	1/6(2/3)^-2	$\frac{1}{6} {(\frac{2}{3})}^{- 2}$
17071	Solve the Function Operation	f(x)=x+7 g(x)=x^2+2x-1 Find: g(f(x))	$f (x) = x + 7$ $g (x) = x^{2} + 2 x - 1$ Find: $g (f (x))$
17072	Solve for x	2y=x-5	$2 y = x - 5$
17073	Simplify	(n^3+2n^2)(n^2-3n+8)	$(n^{3} + 2 n^{2}) (n^{2} - 3 n + 8)$
17074	Find the Antiderivative	(dx)/(1+x^2)	$\frac{d x}{1 + x^{2}}$
17075	Solve for x	4(x-3)-(x+6)=3(x-6)	$4 (x - 3) - (x + 6) = 3 (x - 6)$
17076	Find the Roots (Zeros)	(x-3)	$(x - 3)$
17077	Divide	(48a^3bc^2)÷3abc	$48 a^{3} b c^{2} \div 3 a b c$
17078	Find the Vertex	4x^2+y^2=9	$4 x^{2} + y^{2} = 9$
17079	Solve the Rational Equation for x	square root of x+3=7	$\sqrt{x} + 3 = 7$
17080	Solve the System of Inequalities	x+2y>=4 3x-2y<4	$x + 2 y \geq 4$ $3 x - 2 y < 4$
17081	Graph	sin(theta)<0 , tan(theta)>0	$\sin (θ) < 0$ , $\tan (θ) > 0$
17082	Simplify	-2(3x^2+5x+14)+10	$- 2 (3 x^{2} + 5 x + 14) + 10$
17083	Find the Derivative - d/dx	(x-1)^2sin(x)	${(x - 1)}^{2} \sin (x)$
17084	Solve the Inequality for w	w-0.8>-2.4	$w - 0.8 > - 2.4$
17085	Solve the Rational Equation for x	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
17086	Solve for θ in Degrees	tan(theta)^2+5tan(theta)+6=0	$\tan^{2} (θ) + 5 \tan (θ) + 6 = 0$
17087	Simplify	sin(-60)cos(40)+cos(-60)sin(40)	$\sin (- 60) \cos (40) + \cos (- 60) \sin (40)$
17088	Solve the Inequality for x	sin(2x)>0	$\sin (2 x) > 0$
17089	Rationalize the Denominator	6 square root of 1/3	$6 \sqrt{\frac{1}{3}}$
17090	Find the Antiderivative	(1+ natural log of x)/x	$\frac{1 + \ln (x)}{x}$
17091	Evaluate the Limit	limit as x approaches infinity of (3x)/(7x-1)	$lim_{x \to \infty} \frac{3 x}{7 x - 1}$
17092	Divide	(12a^3p^4)÷(-2)a^2p	$12 a^{3} p^{4} \div (- 2) a^{2} p$
17093	Simplify	-n8n	$- n \cdot 8 \cdot n$
17094	Simplify	((15y^5)/(3y^2))^2	${(\frac{15 y^{5}}{3 y^{2}})}^{2}$
17095	Evaluate	x/(2a)=-b plus or minus square root of b^2-4ac	$\frac{x}{2 a} = - b \pm \sqrt{b^{2} - 4 a c}$
17096	Solve by Substitution	-3x-3y=-12 y=0	$- 3 x - 3 y = - 12$ $y = 0$
17097	Simplify	((1-x)/((2x-x^2)^(1/2)))^2	${(\frac{1 - x}{{(2 x - x^{2})}^{\frac{1}{2}}})}^{2}$
17098	Solve for c	cube root of c-1-14=-4	$\sqrt[3]{c - 1} - 14 = - 4$
17099	Simplify	(2x^-2y^4z^-5)^3	${(2 x^{- 2} y^{4} z^{- 5})}^{3}$
17100	Solve for x	-5x-3x+2=-8x+2	$- 5 x - 3 x + 2 = - 8 x + 2$