Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15901	Simplify	(x^2-y^2)^2+(2xy)^2	${(x^{2} - y^{2})}^{2} + {(2 x y)}^{2}$
15902	Simplify the Radical Expression	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
15903	Graph	6z+4-8+2z<-20	$6 z + 4 - 8 + 2 z < - 20$
15904	Solve for a	limit as x approaches 1 of (2x+a)/(x+1)=5	$lim_{x \to 1} \frac{2 x + a}{x + 1} = 5$
15905	Find the Cotangent Given the Point	((3 square root of 13)/13,-(2 square root of 13)/13)	$(\frac{3 \sqrt{13}}{13}, - \frac{2 \sqrt{13}}{13})$
15906	Solve the System of Inequalities	5x^2+2y^2<=10 y>=x^2-2x+1	$5 x^{2} + 2 y^{2} \leq 10$ $y \geq x^{2} - 2 x + 1$
15907	Simplify	6-3y+6y-6+6y	$6 - 3 y + 6 y - 6 + 6 y$
15908	Find the Domain	2/x+(x-1)/(x-5)	$\frac{2}{x} + \frac{x - 1}{x - 5}$
15909	Simplify	-7i^26+i^74-2i^31-12i^70	$- 7 i^{26} + i^{74} - 2 i^{31} - 12 i^{70}$
15910	Simplify	3\|-(6-4)\|+2\|1+3\|	$3 \| - (6 - 4) \| + 2 \| 1 + 3 \|$
15911	Find dx/dy	xy+x^3=y^2	$x y + x^{3} = y^{2}$
15912	Find the Product	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
15913	Solve by Substitution	2x+2y=10 y=5+x	$2 x + 2 y = 10$ $y = 5 + x$
15914	Find the Cosecant Given the Point	(-1, square root of 2)	$(- 1, \sqrt{2})$
15915	Evaluate	(-2/7)^2+2(-2/7)-4	${(- \frac{2}{7})}^{2} + 2 (- \frac{2}{7}) - 4$
15916	Find the Holes in the Graph	(-2x-8)/(4x-12)	$\frac{- 2 x - 8}{4 x - 12}$
15917	Evaluate	i^19i^9i^6*i^10	$i^{19} \cdot i^{9} \cdot i^{6} \cdot i^{10}$
15918	Find the Volume	y=3/(1+x) , y=0 , x=0 , x=3	$y = \frac{3}{1 + x}$ , $y = 0$ , $x = 0$ , $x = 3$
15919	Solve the Inequality for x	3 1/2>=1.4x	$3 \frac{1}{2} \geq 1.4 x$
15920	Solve for k	k(k-5)=0	$k (k - 5) = 0$
15921	Solve the System of Equations	y=x^2+16x+32 y=-x^2+2	$y = x^{2} + 16 x + 32$ $y = - x^{2} + 2$
15922	Graph	y>=(x^2+3x+2)/(x+2)	$y \geq \frac{x^{2} + 3 x + 2}{x + 2}$
15923	Evaluate	1+5/8-1/6	$1 + \frac{5}{8} - \frac{1}{6}$
15924	Find the Derivative - d/dx	y=302.2((103^x)/(100^x))	$y = 302.2 (\frac{103^{x}}{100^{x}})$
15925	Find the Product	(x+1/3)^4	${(x + \frac{1}{3})}^{4}$
15926	Solve the Function Operation	9x-7i>3 (3x-7u)	$9 x - 7 i > 3$ $(3 x - 7 u)$
15927	Simplify	cube root of xy^5z^20	$\sqrt[3]{x y^{5} z^{20}}$
15928	Solve for x	(2x)/(x+1)-x/(x+3)=3/(x+3)	$\frac{2 x}{x + 1} - \frac{x}{x + 3} = \frac{3}{x + 3}$
15929	Evaluate	7.5/(2pi)	$\frac{7.5}{2 π}$
15930	Factor	x^4+3x^3+2x^2-16x^2-48x-32	$x^{4} + 3 x^{3} + 2 x^{2} - 16 x^{2} - 48 x - 32$
15931	Simplify the Radical Expression	cube root of 216/27	$\sqrt[3]{\frac{216}{27}}$
15932	Evaluate	\|-15(-7)+13(-8)\|^2-8	${\| - 15 (- 7) + 13 (- 8) \|}^{2} - 8$
15933	Simplify	(3/(10x^3))÷(5/(3x))	$\frac{3}{10 x^{3}} \div \frac{5}{3 x}$
15934	Evaluate the Integral	integral of ((-x^2+x)/(x^4)) with respect to x	$\int (\frac{- x^{2} + x}{x^{4}}) d x$
15935	Evaluate the Integral	integral of (tan( natural log of x^2))/(4x) with respect to x	$\int \frac{\tan (\ln (x^{2}))}{4 x} d x$
15936	Find the Derivative - d/dx	2^(-tan(3x))	$2^{- \tan (3 x)}$
15937	Find the Antiderivative	e^(1-3x)	$e^{1 - 3 x}$
15938	Simplify	((2^3m^4n^-1)/(p^2))^0	${(\frac{2^{3} m^{4} n^{- 1}}{p^{2}})}^{0}$
15939	Find the Derivative - d/dt	natural log of 2t^4e^(-t)	$\ln (2 t^{4} e^{- t})$
15940	Find the Skew	3 , 4 , 4 , 5 , 17	$3$ , $4$ , $4$ , $5$ , $17$
15941	Multiply	-4x^2(6x^2+x)	$- 4 x^{2} (6 x^{2} + x)$
15942	Simplify	square root of 8* square root of 18*5 square root of 4	$\sqrt{8} \cdot \sqrt{18} \cdot 5 \sqrt{4}$
15943	Solve the Function Operation	f(x)=5x-12 What is f(-4)	$f (x) = 5 x - 12$ What is $f (- 4)$
15944	Find dy/dx	5xy+y-x-3=0	$5 x y + y - x - 3 = 0$
15945	Solve for x	-1/4(x+1 2/3)=-2 1/5	$- \frac{1}{4} (x + 1 \frac{2}{3}) = - 2 \frac{1}{5}$
15946	Solve by Graphing	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
15947	Combine Like Terms	10p+2p+3p	$10 p + 2 p + 3 p$
15948	Convert from Degrees to Radians	120 degrees *pi/180	$120 ° \cdot \frac{π}{180}$
15949	Simplify	2x-5x^3-7-4x^2	$2 x - 5 x^{3} - 7 - 4 x^{2}$
15950	Multiply	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
15951	Solve for x	8^(x^2-16)=1	$8^{x^{2} - 16} = 1$
15952	Find the Area	rectangle (4cm)(7cm)	 $\begin{array}{r} l = & 4 cm \\ w = & 7 cm \end{array}$
15953	Evaluate	(12x^5y^8)/(3y^3)*(2(x^6)^2)/(y^-3)	$\frac{12 x^{5} y^{8}}{3 y^{3}} \cdot \frac{2 {(x^{6})}^{2}}{y^{- 3}}$
15954	Solve for x	1-8/(x-5)=3/x	$1 - \frac{8}{x - 5} = \frac{3}{x}$
15955	Find the x and y Intercepts	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
15956	Evaluate	6^5*(6^-2)^3	$6^{5} \cdot {(6^{- 2})}^{3}$
15957	Simplify	square root of 4x^11* fourth root of 16x^8	$\sqrt{4 x^{11}} \cdot \sqrt[4]{16 x^{8}}$
15958	Graph	yy>2	$y \cdot y > 2$
15959	Solve for x	1/6-3/x=1/(6x)	$\frac{1}{6} - \frac{3}{x} = \frac{1}{6 x}$
15960	Simplify	( square root of 49x)/( square root of 2)	$\frac{\sqrt{49 x}}{\sqrt{2}}$
15961	Evaluate Using Summation Formulas	sum from i=1 to 7 of (3i-2)^2	$\sum_{i = 1}^{7} {(3 i - 2)}^{2}$
15962	Solve for h	5(3h-18)=-7+20h+17	$5 (3 h - 18) = - 7 + 20 h + 17$
15963	Find the Roots (Zeros)	3x(x+6)	$3 x (x + 6)$
15964	Simplify	(pq^-3r^-4)/(3y^-5)	$\frac{p q^{- 3} r^{- 4}}{3 y^{- 5}}$
15965	Solve the Rational Equation for x	square root of x=-3	$\sqrt{x} = - 3$
15966	Simplify	3x^2+7x-(x+4)^2-9	$3 x^{2} + 7 x - {(x + 4)}^{2} - 9$
15967	Add	(2x^3+3x^2+4)+(6x^3-x^2-5x)	$(2 x^{3} + 3 x^{2} + 4) + (6 x^{3} - x^{2} - 5 x)$
15968	Solve for x	16x^4-1=0	$16 x^{4} - 1 = 0$
15969	Find f(g(x))	f(x)=x^2-5x , g(x)=x^2-7x+10	$f (x) = x^{2} - 5 x$ , $g (x) = x^{2} - 7 x + 10$
15970	Simplify	square root of -(x+2)^8	$\sqrt{- {(x + 2)}^{8}}$
15971	Simplify	-3xx^3-3x	$- 3 x \cdot x^{3} \cdot - 3 x$
15972	Find the Inflection Points	f(x)=1/4x^4+5x^3+75/2x^2	$f (x) = \frac{1}{4} x^{4} + 5 x^{3} + \frac{75}{2} x^{2}$
15973	Solve the Rational Equation for x	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
15974	Subtract	(5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)	$(5 x^{4} - 2 x^{2}) - (3 x - 2 x^{2} - 4 x^{3} + 6 x^{4})$
15975	Simplify	( fourth root of 3^3* cube root of x^2)/( square root of 3x)	$\frac{\sqrt[4]{3^{3}} \cdot \sqrt[3]{x^{2}}}{\sqrt{3 x}}$
15976	Solve the Inequality for x	10- square root of 2x+7<=3	$10 - \sqrt{2 x + 7} \leq 3$
15977	Find the Reference Angle	210deg	$210$ degrees
15978	Solve the Rational Equation for a	(a-2)/(a+3)-1=3/(a+2)	$\frac{a - 2}{a + 3} - 1 = \frac{3}{a + 2}$
15979	Solve for x	x/(x^2)=3/x	$\frac{x}{x^{2}} = \frac{3}{x}$
15980	Find the Product	(-2x^2+5)(x^3-8x-6)	$(- 2 x^{2} + 5) (x^{3} - 8 x - 6)$
15981	Verify the Identity	1+2cot(theta)^2+cot(theta)^4=csc(theta)^4	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = \csc^{4} (θ)$
15982	Simplify	-(5(x+5))/15	$- \frac{5 (x + 5)}{15}$
15983	Solve for y	3y+2=2y-5x	$3 y + 2 = 2 y - 5 x$
15984	Solve for v	5v+6=16v-3v+54	$5 v + 6 = 16 v - 3 v + 54$
15985	Find dx/dy	y=(x^2+5)(3x+1)	$y = (x^{2} + 5) (3 x + 1)$
15986	Solve the Inequality for x	(3\|x-1\|)/4<6	$\frac{3 \| x - 1 \|}{4} < 6$
15987	Simplify	square root of 4x^3y^3* square root of 5x^3y^5	$\sqrt{4 x^{3} y^{3}} \cdot \sqrt{5 x^{3} y^{5}}$
15988	Solve for x	4 square root of 3x-2=3x-7	$4 \sqrt{3 x - 2} = 3 x - 7$
15989	Evaluate	6(-4)(-5/6)(-3/4)	$6 (- 4) (- \frac{5}{6}) (- \frac{3}{4})$
15990	Find the Domain	(3(2a-b))/(a(2a+b))	$\frac{3 (2 a - b)}{a (2 a + b)}$
15991	Multiply	(4+3 square root of x)(4-3 square root of x)	$(4 + 3 \sqrt{x}) (4 - 3 \sqrt{x})$
15992	Evaluate	1 7/8+1/8	$1 \frac{7}{8} + \frac{1}{8}$
15993	Solve for y	y^4-7y^2=-10	$y^{4} - 7 y^{2} = - 10$
15994	Multiply	(3x+12)/(4x-16)*(8-2x)/(x+4)	$\frac{3 x + 12}{4 x - 16} \cdot \frac{8 - 2 x}{x + 4}$
15995	Simplify	((x^2+6x+5)/(x^2+8x+15)*(x^3-3x^2-10x)/(x^2+3x+2))÷((x^2-4x-5)/(x^2+4x+3))	$\frac{x^{2} + 6 x + 5}{x^{2} + 8 x + 15} \cdot \frac{x^{3} - 3 x^{2} - 10 x}{x^{2} + 3 x + 2} \div \frac{x^{2} - 4 x - 5}{x^{2} + 4 x + 3}$
15996	Solve the Function Operation	f(x)=-(x+6)^2+4 if x<-3; 2x+2 if -3<=x<=2; -3/2x+5 if x>2 Find f(-4)	$f (x) = {\begin{cases} - {(x + 6)}^{2} + 4 & x < - 3 \\ 2 x + 2 & - 3 \leq x \leq 2 \\ - \frac{3}{2} x + 5 & x > 2 \end{cases}$ Find $f (- 4)$
15997	Find the Antiderivative	(e^x)/(e^x+2)	$\frac{e^{x}}{e^{x} + 2}$
15998	Solve the Function Operation	Given that f(x)=x^2-8x+12 and g(x)=x-6 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 8 x + 12$ and $g (x) = x - 6$ ; find $(f \div g) (x)$ and express the result in standard form.
15999	Find the Derivative - d/dx	((x-3)^3)/(x^2)	$\frac{{(x - 3)}^{3}}{x^{2}}$
16000	Evaluate	((5pi)/6)	$(\frac{5 π}{6})$