Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18901	Factor	x^4+5x^3-x^2-17x+12	$x^{4} + 5 x^{3} - x^{2} - 17 x + 12$
18902	Write the Fraction in Simplest Form	(-3(t)^2)/(-12t^-4)	$\frac{- 3 {(t)}^{2}}{- 12 t^{- 4}}$
18903	Solve for X	2(X+5)=20	$2 (X + 5) = 20$
18904	Find the x and y Intercepts	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
18905	Factor	11x(9x+1)+9x+1	$11 x (9 x + 1) + 9 x + 1$
18906	Simplify	(-5)+(-4)-(-2)	$(- 5) + (- 4) - (- 2)$
18907	Evaluate	(2)^3-3/2(2)^2	${(2)}^{3} - \frac{3}{2} {(2)}^{2}$
18908	Simplify	cube root of 3+ cube root of 24- cube root of 81+ cube root of 192	$\sqrt[3]{3} + \sqrt[3]{24} - \sqrt[3]{81} + \sqrt[3]{192}$
18909	Find Amplitude, Period, and Phase Shift	f(x)=2tan(pi/2x)	$f (x) = 2 \tan (\frac{π}{2} x)$
18910	Convert to a Decimal	-13pirad	$- 13 π$ radians
18911	Divide	(2pi)÷(1/2)	$2 π \div \frac{1}{2}$
18912	Write as a Single Logarithm	log base 3 of a-( log base 3 of b+ log base 3 of c)	$\log_{3} (a) - (\log_{3} (b) + \log_{3} (c))$
18913	Solve for w	8w^2+2w+2=3	$8 w^{2} + 2 w + 2 = 3$
18914	Find the Antiderivative	x^3e^x	$x^{3} e^{x}$
18915	Find the Asymptotes	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
18916	Simplify	((12x^5)/(2x^2))	$(\frac{12 x^{5}}{2 x^{2}})$
18917	Evaluate	3\|-6\|+(-7)	$3 \| - 6 \| + (- 7)$
18918	Evaluate Using L'Hospital's Rule	limit as x approaches -2 of (3e^(-2-x)-3)/(2x^2-8)	$lim_{x \to - 2} \frac{3 e^{- 2 - x} - 3}{2 x^{2} - 8}$
18919	Find the Asymptotes	k(x)=3tan((3pi)/2x)	$k (x) = 3 \tan (\frac{3 π}{2} x)$
18920	Simplify	pi(3x^3y)^2	$π {(3 x^{3} y)}^{2}$
18921	Simplify	p^(1/4)*p^(9/4)	$p^{\frac{1}{4}} \cdot p^{\frac{9}{4}}$
18922	Solve the Inequality for s	s+4<=7	$s + 4 \leq 7$
18923	Simplify	(6+5yi)(1+4i)+(1-5yi)(1+4i)	$(6 + 5 y i) (1 + 4 i) + (1 - 5 y i) (1 + 4 i)$
18924	Plot	y<4x+2 y<-1.5x-3	$y < 4 x + 2$ $y < - 1.5 x - 3$
18925	Simplify	fourth root of 81x^12* square root of 81x	$\sqrt[4]{81 x^{12}} \cdot \sqrt{81 x}$
18926	Solve for x	3/(x+3)=(5x)/(x+1)-12/(x+3)	$\frac{3}{x + 3} = \frac{5 x}{x + 1} - \frac{12}{x + 3}$
18927	Simplify	(x^2)/(2x-3)-4/(2x-3)	$\frac{x^{2}}{2 x - 3} - \frac{4}{2 x - 3}$
18928	Evaluate	(4^2)÷(4^6)	$4^{2} \div 4^{6}$
18929	Find the Product	7a(6-2a-a^2)	$7 a (6 - 2 a - a^{2})$
18930	Solve by Graphing	x=4y x+2y=12	$x = 4 y$ $x + 2 y = 12$
18931	Simplify	2 square root of 30*( square root of 5+ square root of 6+ square root of 10+ square root of 15)	$2 \sqrt{30} \cdot (\sqrt{5} + \sqrt{6} + \sqrt{10} + \sqrt{15})$
18932	Evaluate	3*2^(x/5)=150	$3 \cdot 2^{\frac{x}{5}} = 150$
18933	Solve for x	2(3x+2)=-3(-2+5x)	$2 (3 x + 2) = - 3 (- 2 + 5 x)$
18934	Find Amplitude, Period, and Phase Shift	y=2sec((2pi)/3+x)+1	$y = 2 \sec (\frac{2 π}{3} + x) + 1$
18935	Simplify	xy(3+2x)	$x y (3 + 2 x)$
18936	Solve for x	square root of 2x^2-7=3-x	$\sqrt{2 x^{2} - 7} = 3 - x$
18937	Convert to a Decimal	3pirad	$3 π$ radians
18938	Find dy/dx	-3x^3+xy-3=0	$- 3 x^{3} + x y - 3 = 0$
18939	Find the Derivative - d/dx	y=arcsec(3x)+arccsc(3x)	$y = arcsec (3 x) + arccsc (3 x)$
18940	Solve for x	2/(x-2)=2+x/(x-2)	$\frac{2}{x - 2} = 2 + \frac{x}{x - 2}$
18941	Simplify	(x^2-x-6)/(2x^2+x-6)*(2x^2+13x-24)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 13 x - 24}{x^{2} - 9}$
18942	Simplify	((3x-6)/(2x^2))÷((x^2-5x+6)/(4x-12))	$\frac{3 x - 6}{2 x^{2}} \div \frac{x^{2} - 5 x + 6}{4 x - 12}$
18943	Find the Derivative - d/dx	1/(e^x-1)	$\frac{1}{e^{x} - 1}$
18944	Simplify	square root of (x^2)/(y^3)	$\sqrt{\frac{x^{2}}{y^{3}}}$
18945	Factor	6u^2(2u-5)^2-12u^2(2u-5)*(u+5)	$6 u^{2} \cdot {(2 u - 5)}^{2} - 12 u^{2} \cdot (2 u - 5) \cdot (u + 5)$
18946	Evaluate the Integral	integral of xf(x) with respect to x	$\int x f (x) d x$
18947	Simplify the Radical Expression	cube root of 7x^7* cube root of 9x^4	$\sqrt[3]{7 x^{7}} \cdot \sqrt[3]{9 x^{4}}$
18948	Evaluate the Limit	limit as x approaches infinity of 3+2x-5x^2	$lim_{x \to \infty} 3 + 2 x - 5 x^{2}$
18949	Combine Like Terms	7x+2-5+8	$7 x + 2 - 5 + 8$
18950	Determine the Possible Number of Real Roots	x^4-5x^2+4=0	$x^{4} - 5 x^{2} + 4 = 0$
18951	Solve the Inequality for y	(2y)/5+y/10<-2	$\frac{2 y}{5} + \frac{y}{10} < - 2$
18952	Find the Antiderivative	f(x)=cos(x)^4	$f (x) = \cos^{4} (x)$
18953	Solve for Y	W=XYZ	$W = X Y Z$
18954	Find dy/dx	4x^2y^7-2x=x^5+4y^3	$4 x^{2} y^{7} - 2 x = x^{5} + 4 y^{3}$
18955	Simplify	(a^6b^4c^10)/(a^3b^2c)	$\frac{a^{6} b^{4} c^{10}}{a^{3} b^{2} c}$
18956	Find Trig Functions Using Identities	tan(theta)=-3/5 , sin(theta)<0	$\tan (θ) = - \frac{3}{5}$ , $\sin (θ) < 0$
18957	Multiply	3/26*8	$\frac{3}{26} \times 8$
18958	Solve the Function Operation	f(x)=10x^7 ; find f^-1(x)	$f (x) = 10 x^{7}$ ; find $f^{- 1} (x)$
18959	Simplify the Radical Expression	cube root of (x^2)/(9y)	$\sqrt[3]{\frac{x^{2}}{9 y}}$
18960	Find the Maximum/Minimum Value	f(x)=x^4-3x^2+3x+1	$f (x) = x^{4} - 3 x^{2} + 3 x + 1$
18961	Evaluate the Limit	limit as x approaches -1 of ((x+1)^2(x-1))/(x^3+1)	$lim_{x \to - 1} \frac{{(x + 1)}^{2} (x - 1)}{x^{3} + 1}$
18962	Simplify	sin(theta)^2cot(theta)^2tan(theta)^2csc(theta)^2	$\sin^{2} (θ) \cot^{2} (θ) \tan^{2} (θ) \csc^{2} (θ)$
18963	Evaluate the Integral	integral of (2x^2+4x-3)/(x^2) with respect to x	$\int \frac{2 x^{2} + 4 x - 3}{x^{2}} d x$
18964	Evaluate	Find the value of cube root of 1000	Find the value of $\sqrt[3]{1000}$
18965	Divide Using Synthetic Division	(3x^3-17x^2+26x)÷(x-3)	$(3 x^{3} - 17 x^{2} + 26 x) \div (x - 3)$
18966	Simplify	(5m^9)(7m^3n^7)+(2m^2n^6)(m^10n)	$(5 m^{9}) (7 m^{3} n^{7}) + (2 m^{2} n^{6}) (m^{10} n)$
18967	Graph	F(x)=5x^3+x-8	$F (x) = 5 x^{3} + x - 8$
18968	Graph Using a Table of Values	f(x)=2(1/5)^(x-3)-8	$f (x) = 2 {(\frac{1}{5})}^{x - 3} - 8$
18969	Divide Using Synthetic Division	(2x^3+x^2-13x-24)/(x-3)	$\frac{2 x^{3} + x^{2} - 13 x - 24}{x - 3}$
18970	Solve the Inequality for y	2x-3y>1	$2 x - 3 y > 1$
18971	Divide	(1.0910^12)÷2.1810^10	$1.09 \cdot 10^{12} \div 2.18 \cdot 10^{10}$
18972	Graph	y=arccos(x+1)	$y = \arccos (x + 1)$
18973	Solve for x	cube root of 4x^2+2x-8=x	$\sqrt[3]{4 x^{2} + 2 x - 8} = x$
18974	Solve Using the Quadratic Formula	2x^2+3=6y	$2 x^{2} + 3 = 6 y$
18975	Expand the Logarithmic Expression	log base 7 of 7^3*7^8	$\log_{7} (7^{3} \cdot 7^{8})$
18976	Find dy/dx	-y^2-xy^3-x^3=-2	$- y^{2} - x y^{3} - x^{3} = - 2$
18977	Evaluate	n-10+9n-3	$n - 10 + 9 n - 3$
18978	Evaluate	1/2 square root of 24	$\frac{1}{2} \sqrt{24}$
18979	Convert to Scientific Notation	(1.2*10^-5)÷4	$(1.2 \times 10^{- 5}) \div 4$
18980	Multiply	7x(6x+4y)	$7 x (6 x + 4 y)$
18981	Solve for x	log base 7 of 4x^2-1- log base 7 of 3x+6=0	$\log_{7} (4 x^{2} - 1) - \log_{7} (3 x + 6) = 0$
18982	Find All Complex Solutions	cos(2x)+cos(x)+1=0	$\cos (2 x) + \cos (x) + 1 = 0$
18983	Simplify	(( square root of 2)/2+( square root of 3)/5i)^2	${(\frac{\sqrt{2}}{2} + \frac{\sqrt{3}}{5} i)}^{2}$
18984	Convert from Degrees to Radians	36deg	$36$ degrees
18985	Solve the Inequality for x	4x+1<=x-3+5x	$4 x + 1 \leq x - 3 + 5 x$
18986	Evaluate Using Summation Formulas	sum from i=1 to 25 of (i^2+2)^2	$\sum_{i = 1}^{25} {(i^{2} + 2)}^{2}$
18987	Rationalize the Denominator	4( cube root of 5y^3)(2 cube root of 50y)	$4 (\sqrt[3]{5 y^{3}}) (2 \sqrt[3]{50 y})$
18988	Find the Asymptotes	(x^3+x^2)/(x^2-4)	$\frac{x^{3} + x^{2}}{x^{2} - 4}$
18989	Solve the Inequality for n	8-1/4n>=20	$8 - \frac{1}{4} n \geq 20$
18990	Simplify	(-3 square root of 3k+4)( square root of 3k-5)	$(- 3 \sqrt{3 k} + 4) (\sqrt{3 k} - 5)$
18991	Evaluate	60% of 40	$60 %$ of $40$
18992	Solve for r	2/r+1/2=3/4	$\frac{2}{r} + \frac{1}{2} = \frac{3}{4}$
18993	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-5x^3+7x^2+3x-8 is divided by x-1	Use synthetic division to find the result when $3 x^{4} - 5 x^{3} + 7 x^{2} + 3 x - 8$ is divided by $x - 1$
18994	Simplify	(4e^2)^3	${(4 e^{2})}^{3}$
18995	Solve for w	log base 8 of w+12+ log base 8 of w=3* log base 8 of 4	$\log_{8} (w + 12) + \log_{8} (w) = 3 \cdot \log_{8} (4)$
18996	Find Amplitude, Period, and Phase Shift	y=-7/2tan(x)	$y = - \frac{7}{2} \tan (x)$
18997	Solve for x	11+2x=3+4x-3x	$11 + 2 x = 3 + 4 x - 3 x$
18998	Simplify	-(5t^5)/((5t^4)^2)	$- \frac{5 t^{5}}{{(5 t^{4})}^{2}}$
18999	Find the Antiderivative	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
19000	Find the Roots (Zeros)	y=(x+1)^2(x-1)(x-2)	$y = {(x + 1)}^{2} (x - 1) (x - 2)$