Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8001	Simplify	(6x^3)(3xy)^-1	$(6 x^{3}) {(3 x y)}^{- 1}$
8002	Solve for x	square root of 7x-4- square root of 4x+9=0	$\sqrt{7 x - 4} - \sqrt{4 x + 9} = 0$
8003	Find the Roots (Zeros)	y=x^3-4x-6	$y = x^{3} - 4 x - 6$
8004	Divide	((3x-1)/(6x^4+x^3+8x^2+9x-4))	$(\frac{3 x - 1}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4})$
8005	Simplify	(12a^3b^6c^5)/(3a^2b^4c^5)	$\frac{12 a^{3} b^{6} c^{5}}{3 a^{2} b^{4} c^{5}}$
8006	Find the Antiderivative	f(x)=4x+1/(x^2)	$f (x) = 4 x + \frac{1}{x^{2}}$
8007	Evaluate the Limit	limit as x approaches 2 of 4^(3x-1)	$lim_{x \to 2} 4^{3 x - 1}$
8008	Solve the Inequality for x	1/2x-1/4<5/8	$\frac{1}{2} x - \frac{1}{4} < \frac{5}{8}$
8009	Solve the Inequality for n	14<-6n-10	$14 < - 6 n - 10$
8010	Simplify	Simplify square root of 48x^8y^4	Simplify $\sqrt{48 x^{8} y^{4}}$
8011	Solve for x	( square root of 2)/( square root of 7)=x/( square root of 14)	$\frac{\sqrt{2}}{\sqrt{7}} = \frac{x}{\sqrt{14}}$
8012	Solve the Inequality for y	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
8013	Evaluate the Integral	integral of 5x^3e^(2-3x^4) with respect to x	$\int 5 x^{3} e^{2 - 3 x^{4}} d x$
8014	Write the Fraction in Simplest Form	(4(h^4)^4)/(12h)	$\frac{4 {(h^{4})}^{4}}{12 h}$
8015	Solve the Rational Equation for x	6+ square root of 6-15x=15	$6 + \sqrt{6 - 15 x} = 15$
8016	Solve for x	10^(2x^2+2x)=100^(-6x+8)	$10^{2 x^{2} + 2 x} = 100^{- 6 x + 8}$
8017	Simplify	square root of ( square root of 11-3)^2+( square root of 11+3)^2	$\sqrt{{(\sqrt{11} - 3)}^{2} + {(\sqrt{11} + 3)}^{2}}$
8018	Solve for n	i^13+i^18+i^31+n=0	$i^{13} + i^{18} + i^{31} + n = 0$
8019	Solve for z	z=2(cos(pi)+isin(pi))	$z = 2 (\cos (π) + i \sin (π))$
8020	Find the Exact Value	tan((21pi)/2+pi/2)	$\tan (\frac{21 π}{2} + \frac{π}{2})$
8021	Simplify the Radical Expression	square root of x^6y^2	$\sqrt{x^{6} y^{2}}$
8022	Solve for p	(p-3.1)/6.7=4.5/5	$\frac{p - 3.1}{6.7} = \frac{4.5}{5}$
8023	Write in Slope-Intercept Form	2y=x	$2 y = x$
8024	Solve for y	7^(3y-8)=7^13	$7^{3 y - 8} = 7^{13}$
8025	Write as a Single Logarithm	2 log of x- log of y-2 log of z	$2 \log (x) - \log (y) - 2 \log (z)$
8026	Solve for x	2(x^2-81)(x^2-13)=0	$2 (x^{2} - 81) (x^{2} - 13) = 0$
8027	Find dy/dx	y=sin(x)^( natural log of x)	$y = {\sin (x)}^{\ln (x)}$
8028	Find the Antiderivative	f(x)=1+1/(x^4)	$f (x) = 1 + \frac{1}{x^{4}}$
8029	Determine if Odd, Even, or Neither	f(x) = log base 5 of x^2	$f (x) = \log_{5} (x^{2})$
8030	Simplify	(4^0)(5^2)(6^1)(100^0)	$(4^{0}) (5^{2}) (6^{1}) (100^{0})$
8031	Solve for x	6(4-x)+6x=24	$6 (4 - x) + 6 x = 24$
8032	Find the Asymptotes	y=(7x^2+1)/(x^2+7)	$y = \frac{7 x^{2} + 1}{x^{2} + 7}$
8033	Evaluate the Integral	integral of (2x+1)/(9+16x^2) with respect to x	$\int \frac{2 x + 1}{9 + 16 x^{2}} d x$
8034	Evaluate	-2\|10-(-23)\|-3+18	$- 2 \| 10 - (- 23) \| - 3 + 18$
8035	Simplify	(-5-2 square root of 3)(-1- square root of 12)	$(- 5 - 2 \sqrt{3}) (- 1 - \sqrt{12})$
8036	Solve for y	Ax+By=C for y	$A x + B y = C$ for $y$
8037	Simplify	((x+5)/(x^2-5x)-x/(x^2-25))*(x^2-25)/5	$(\frac{x + 5}{x^{2} - 5 x} - \frac{x}{x^{2} - 25}) \cdot \frac{x^{2} - 25}{5}$
8038	Simplify	(y^3-4y^2-2)-(6y^3+4-6y^2)	$(y^{3} - 4 y^{2} - 2) - (6 y^{3} + 4 - 6 y^{2})$
8039	Evaluate the Limit	limit as x approaches -5 of (-8\|x\|+40)/(2x+10)	$lim_{x \to - 5} \frac{- 8 \| x \| + 40}{2 x + 10}$
8040	Find the Antiderivative	-1/x	$\frac{- 1}{x}$
8041	Find the x and y Intercepts	(-3x^2+9x-6)/(2x^2-8)	$\frac{- 3 x^{2} + 9 x - 6}{2 x^{2} - 8}$
8042	Solve for b	-0.8b=-4(0.3b+0.4)	$- 0.8 b = - 4 (0.3 b + 0.4)$
8043	Solve for x	6^(3x)*6^(-x)=6^(-2x)	$6^{3 x} \cdot 6^{- x} = 6^{- 2 x}$
8044	Add	Find the sum of 2x^2-8x-6 and 9x^2-8	Find the sum of $2 x^{2} - 8 x - 6$ and $9 x^{2} - 8$
8045	Simplify	3/4m^7n^6*m^5n^9-(1/2m^4n^5)^3	$\frac{3}{4} m^{7} n^{6} \cdot m^{5} n^{9} - {(\frac{1}{2} m^{4} n^{5})}^{3}$
8046	Solve the Inequality for t	15t>180	$15 t > 180$
8047	Simplify	cube root of square root of 25	$\sqrt[3]{\sqrt{25}}$
8048	Solve for x	1/2(x-8)=3/2x+7	$\frac{1}{2} (x - 8) = \frac{3}{2} x + 7$
8049	Find the Product	5r^5(6r-3)	$5 r^{5} (6 r - 3)$
8050	Simplify the Radical Expression	fourth root of 81x^2	$\sqrt[4]{81 x^{2}}$
8051	Simplify	( fifth root of 2xy)/( fourth root of 3x^2y)	$\frac{\sqrt[5]{2 x y}}{\sqrt[4]{3 x^{2} y}}$
8052	Simplify	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$
8053	Simplify	(x*x^(2/5))/(x^-3)	$\frac{x \cdot x^{\frac{2}{5}}}{x^{- 3}}$
8054	Simplify	(9x^4-3x^3+4x^2+5x+7)+(11x^4-4x^2-11x-9)	$(9 x^{4} - 3 x^{3} + 4 x^{2} + 5 x + 7) + (11 x^{4} - 4 x^{2} - 11 x - 9)$
8055	Simplify	square root of -180x^16	$\sqrt{- 180 x^{16}}$
8056	Find Where Increasing/Decreasing	x^5+x^4	$x^{5} + x^{4}$
8057	Simplify	(p^5r^2)^4(-7p^3r^4)^2(6pr^3)	${(p^{5} r^{2})}^{4} {(- 7 p^{3} r^{4})}^{2} (6 p r^{3})$
8058	Simplify	(x^12)(y^-13)(x^-5)(y^4)	$(x^{12}) (y^{- 13}) (x^{- 5}) (y^{4})$
8059	Evaluate the Integral	integral from 0 to 1 of x^2*2^x with respect to x	$\int_{0}^{1} x^{2} \cdot 2^{x} d x$
8060	Simplify the Radical Expression	3 2/3	$3 \frac{2}{3}$
8061	Simplify	9/(2^-1)	$\frac{9}{2^{- 1}}$
8062	Solve for r	r = square root of -1-2r	$r = \sqrt{- 1 - 2 r}$
8063	Simplify	(28p^3q^2r-36p^2r^2+16q^5r^4)/(4pq^2r)	$\frac{28 p^{3} q^{2} r - 36 p^{2} r^{2} + 16 q^{5} r^{4}}{4 p q^{2} r}$
8064	Convert from Radians to Degrees	(13pi)/2rad	$\frac{13 π}{2}$ rad
8065	Find the Maximum/Minimum Value	f(x)=x^4+4x^2+1	$f (x) = x^{4} + 4 x^{2} + 1$
8066	Graph	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
8067	Find the Antiderivative	f(x)=1/7	$f (x) = \frac{1}{7}$
8068	Graph	y=-x-1 x-5y=-25	$y = - x - 1$ $x - 5 y = - 25$
8069	Solve the Function Operation	f(x)=3x^2+4x-7 g(x)=2x-11 Find: g(f(x))	$f (x) = 3 x^{2} + 4 x - 7$ $g (x) = 2 x - 11$ Find: $g (f (x))$
8070	Evaluate Using the Given Value	-a^-2 if a=-5	$- a^{- 2}$ if $a = - 5$
8071	Simplify the Radical Expression	cube root of 8/1000	$\sqrt[3]{\frac{8}{1000}}$
8072	Write as a Single Logarithm	5* log of a+1/2* log of b-4* log of c	$5 \cdot \log (a) + \frac{1}{2} \cdot \log (b) - 4 \cdot \log (c)$
8073	Simplify	square root of (2x^3)/(50y^5)	$\sqrt{\frac{2 x^{3}}{50 y^{5}}}$
8074	Solve the Function Operation	f(x)=x^3-7 ; find f^-1(x)	$f (x) = x^{3} - 7$ ; find $f^{- 1} (x)$
8075	Find the Derivative - d/dx	y=10x^(4/5)	$y = 10 x^{\frac{4}{5}}$
8076	Graph	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
8077	Solve for B	(4a+5)^2=16a^2+Ba+25	${(4 a + 5)}^{2} = 16 a^{2} + B a + 25$
8078	Simplify	3n^(-1/2)*3n	$3 n^{- \frac{1}{2}} \cdot 3 n$
8079	Solve for x	9^(-3x-6)=3^(3x^2-21)	$9^{- 3 x - 6} = 3^{3 x^{2} - 21}$
8080	Solve for q	1/2-1/8q=(q-1)/4	$\frac{1}{2} - \frac{1}{8} q = \frac{q - 1}{4}$
8081	Solve the Inequality for t	t/-2<6	$\frac{t}{- 2} < 6$
8082	Solve the System of Equations	y=-3/2x-8 3x-4y=-4	$y = - \frac{3}{2} x - 8$ $3 x - 4 y = - 4$
8083	Write in Exponential Form	( cube root of 5)^3	${(\sqrt[3]{5})}^{3}$
8084	Simplify	((4x)/7)÷(2/21)	$\frac{4 x}{7} \div \frac{2}{21}$
8085	Simplify the Radical Expression	-2y square root of 28x^3+3x square root of 63xy^2-3 square root of 112x^3y^2	$- 2 y \sqrt{28 x^{3}} + 3 x \sqrt{63 x y^{2}} - 3 \sqrt{112 x^{3} y^{2}}$
8086	Factor	q(x)=9x^2-24x+16	$q (x) = 9 x^{2} - 24 x + 16$
8087	Simplify	((-x)/(-y^2))^4	${(\frac{- x}{- y^{2}})}^{4}$
8088	Evaluate	x^4y^-2	$x^{4} y^{- 2}$
8089	Solve the Inequality for b	b/16>=-6	$\frac{b}{16} \geq - 6$
8090	Divide	(1+a^3)÷(1+a)	$(1 + a^{3}) \div (1 + a)$
8091	Find the Domain	f(x) = square root of 1+ natural log of x	$f (x) = \sqrt{1 + \ln (x)}$
8092	Evaluate	(tan(theta))/(sec(theta))	$\frac{\tan (θ)}{\sec (θ)}$
8093	Solve by Factoring	5x^5-80x=0	$5 x^{5} - 80 x = 0$
8094	Graph	-5+1/4x=3x+6	$- 5 + \frac{1}{4} x = 3 x + 6$
8095	Simplify	1/(1+x)+(1-x)/x	$\frac{1}{1 + x} + \frac{1 - x}{x}$
8096	Solve the System of Inequalities	y>=2x-3 y>4x+5	$y \geq 2 x - 3$ $y > 4 x + 5$
8097	Simplify	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
8098	Simplify	(24m^-2n)(1/4mn)	$(24 m^{- 2} n) (\frac{1}{4} m n)$
8099	Find the x and y Intercepts	F(x)=1/(x^2)	$F (x) = \frac{1}{x^{2}}$
8100	Convert from Radians to Degrees	9rad	$9$ radians