Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25901	Simplify	1/x+(x-1)/(x-3)	$\frac{1}{x} + \frac{x - 1}{x - 3}$
25902	Graph	P(x)=15x^3-3x^2+x+4	$P (x) = 15 x^{3} - 3 x^{2} + x + 4$
25903	Solve for x	cube root of 4x^2-4x+1- cube root of x=0	$\sqrt[3]{4 x^{2} - 4 x + 1} - \sqrt[3]{x} = 0$
25904	Divide	((x^2-3x-28)/(6x))÷((2x-14)/2)	$\frac{x^{2} - 3 x - 28}{6 x} \div \frac{2 x - 14}{2}$
25905	Simplify	log of 10^e	$\log (10^{e})$
25906	Simplify	((3x)^-2)/((x^3)^-1)	$\frac{{(3 x)}^{- 2}}{{(x^{3})}^{- 1}}$
25907	Convert to a Decimal	12rev per s	$12$ revolutions per second
25908	Solve the Function Operation	Given that f(x)=x^2+4x-60 and g(x)=x-6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 60$ and $g (x) = x - 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
25909	Find the x and y Intercepts	Find x	Find $x$
25910	Find Amplitude, Period, and Phase Shift	y=1/4cos(4x-2pi)	$y = \frac{1}{4} \cos (4 x - 2 π)$
25911	Find All Complex Solutions	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
25912	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-4) and has a slope of 2 ?	What is the equation of the line that passes through the point $(2, - 4)$ and has a slope of $2$ ?
25913	Evaluate	3^2+-4^2	$3^{2} + - 4^{2}$
25914	Graph	4x-3y=-12 y=x+3	$4 x - 3 y = - 12$ $y = x + 3$
25915	Divide Using Long Polynomial Division	(4p^3-3p^2+2p)÷(p-1)	$(4 p^{3} - 3 p^{2} + 2 p) \div (p - 1)$
25916	Simplify	((a^8b^6)/(a^11))^5	${(\frac{a^{8} b^{6}}{a^{11}})}^{5}$
25917	Simplify	(4/x)^(1/2)	${(\frac{4}{x})}^{\frac{1}{2}}$
25918	Solve the Function Operation	f(x)=(x+5)^2-4 if x!=-2; 4 if x=-2 Find f(-2)	$f (x) = {\begin{cases} {(x + 5)}^{2} - 4 & x \neq - 2 \\ 4 & x = - 2 \end{cases}$ Find $f (- 2)$
25919	Simplify	x^2(-7x^2+5)	$x^{2} (- 7 x^{2} + 5)$
25920	Solve for n	3/8+n=7/8	$\frac{3}{8} + n = \frac{7}{8}$
25921	Solve for x	-7-5x+8x=-9x-2+6	$- 7 - 5 x + 8 x = - 9 x - 2 + 6$
25922	Simplify	fifth root of a^9 square root of a	$\sqrt[5]{a^{9}} \sqrt{a}$
25923	Find the Derivative - d/dx	sin(x)+e^(-x)+3x	$\sin (x) + e^{- x} + 3 x$
25924	Describe the Transformation	f(x)=2 square root of x+5	$f (x) = 2 \sqrt{x} + 5$
25925	Multiply	3(x^2+5)(x^2-5)	$3 (x^{2} + 5) (x^{2} - 5)$
25926	Simplify	(6/7)^-2*((4s)/(6t))^-2	${(\frac{6}{7})}^{- 2} \cdot {(\frac{4 s}{6 t})}^{- 2}$
25927	Solve the Rational Equation for x	square root of x=x-2	$\sqrt{x} = x - 2$
25928	Solve the Rational Equation for x	square root of 7x-17=x-1	$\sqrt{7 x - 17} = x - 1$
25929	Simplify the Radical Expression	i^7	$i^{7}$
25930	Simplify	2*( square root of 2)/2	$2 \cdot \frac{\sqrt{2}}{2}$
25931	Simplify	(a+bi)^2-(a-bi)^2	${(a + b i)}^{2} - {(a - b i)}^{2}$
25932	Write as a Single Logarithm	log base 5 of 49* log base 8 of 5* log base 9 of 8* log base 7 of 9	$\log_{5} (49) \cdot \log_{8} (5) \cdot \log_{9} (8) \cdot \log_{7} (9)$
25933	Evaluate the Summation	sum from k=0 to 3 of 6k^2-8k	$\sum_{k = 0}^{3} 6 k^{2} - 8 k$
25934	Evaluate	Evaluate 1-2/3+4/9-8/27+dots	Evaluate $1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$
25935	Find the Asymptotes	f(x)=3csc(4x)	$f (x) = 3 \csc (4 x)$
25936	Solve the System of Inequalities	4x+1<9 and -6x-2<10	$4 x + 1 < 9$ and $- 6 x - 2 < 10$
25937	Factor by Grouping	a^3-9a^2b+ab-9b^2	$a^{3} - 9 a^{2} b + a b - 9 b^{2}$
25938	Solve for x	(x-3)^(2/5)=(4x)^(1/5)	${(x - 3)}^{\frac{2}{5}} = {(4 x)}^{\frac{1}{5}}$
25939	Find Amplitude, Period, and Phase Shift	y=8cos(pi/4x-pi/2)	$y = 8 \cos (\frac{π}{4} x - \frac{π}{2})$
25940	Simplify	((-2t^4)/(at))^6	${(\frac{- 2 t^{4}}{a t})}^{6}$
25941	Find the Roots (Zeros)	(x-2)(x-3)*2=0	$(x - 2) (x - 3) \cdot 2 = 0$
25942	Evaluate	(12b^6c^3)/(6b^4c^2)	$\frac{12 b^{6} c^{3}}{6 b^{4} c^{2}}$
25943	Solve for h	4h=5/15-3/15 4h=2/15	$4 h = \frac{5}{15} - \frac{3}{15}$ $4 h = \frac{2}{15}$
25944	Solve for R	R = square root of 1/((1/(14910^9))^2-(1/(29810^9))^2)	$R = \sqrt{\frac{1}{{(\frac{1}{149 \cdot 10^{9}})}^{2} - {(\frac{1}{298 \cdot 10^{9}})}^{2}}}$
25945	Graph	x<=2 or x>5	$x \leq 2$ or $x > 5$
25946	Find the Other Trig Values in Quadrant II	sec(theta)=-(2 square root of 3)/3	$\sec (θ) = - \frac{2 \sqrt{3}}{3}$
25947	Solve for x	square root of 5x-1- square root of x+2=3	$\sqrt{5 x - 1} - \sqrt{x} + 2 = 3$
25948	Evaluate	-2(-5a-25+5b)	$- 2 (- 5 a - 25 + 5 b)$
25949	Graph	y>-2x+3 y>=1/4x-1	$y > - 2 x + 3$ $y \geq \frac{1}{4} x - 1$
25950	Evaluate	-8i^2+3	$- 8 i^{2} + 3$
25951	Find the Exact Value	cot((1pi)/4)	$\cot (\frac{1 π}{4})$
25952	Solve the Inequality for x	2x^2+x-3<0	$2 x^{2} + x - 3 < 0$
25953	Convert to a Decimal	660deg	$660$ degrees
25954	Write the Fraction in Simplest Form	2/(x^2-49)-7/(x-7)	$\frac{2}{x^{2} - 49} - \frac{7}{x - 7}$
25955	Write in Standard Form	y=2/7-3x	$y = \frac{2}{7} - 3 x$
25956	Factor	3xy-3y+2xz-2z	$3 x y - 3 y + 2 x z - 2 z$
25957	Simplify	(5^43^3)/(5^23^2)	$\frac{5^{4} \cdot 3^{3}}{5^{2} \cdot 3^{2}}$
25958	Evaluate the Limit	limit as x approaches 1/2 of x+10	$lim_{x \to \frac{1}{2}} x + 10$
25959	Evaluate	2(-4)^2-3-4-2+(-2)^2-4*-4+(-2)	$2 {(- 4)}^{2} - 3 \cdot - 4 \cdot - 2 + {(- 2)}^{2} - 4 \cdot - 4 + (- 2)$
25960	Evaluate	3 fourth root of z*3z^(3/4)	$3 \sqrt[4]{z} \cdot 3 z^{\frac{3}{4}}$
25961	Solve for w	-18w+5(-13w-2)=8(-2w-18)	$- 18 w + 5 (- 13 w - 2) = 8 (- 2 w - 18)$
25962	Solve for c	c/9<=-4	$\frac{c}{9} \leq - 4$
25963	Simplify	(7x-18)/(x^2)+(6x-14)/(x^2)	$\frac{7 x - 18}{x^{2}} + \frac{6 x - 14}{x^{2}}$
25964	Solve for n	-5(n+1)-3=8-(n+4)	$- 5 (n + 1) - 3 = 8 - (n + 4)$
25965	Solve for z	4.8/(2z+15)=0.2/5	$\frac{4.8}{2 z + 15} = \frac{0.2}{5}$
25966	Solve for x	3sec(x)=-2 square root of 3	$3 \sec (x) = - 2 \sqrt{3}$
25967	Find the x and y Intercepts	f(x)=(x+4)^2(x+2)(x-2)^2	$f (x) = {(x + 4)}^{2} (x + 2) {(x - 2)}^{2}$
25968	Graph	graph x=6	graph $x = 6$
25969	Simplify	(10-2x)(6-2x)(x)	$(10 - 2 x) (6 - 2 x) (x)$
25970	Solve for m	-6(-5+m)+3(1-6m)=57	$- 6 (- 5 + m) + 3 (1 - 6 m) = 57$
25971	Write the Fraction in Simplest Form	((4w^-1c^4)^-5)/(5c^-3)	$\frac{{(4 w^{- 1} c^{4})}^{- 5}}{5 c^{- 3}}$
25972	Simplify	(1/(5p^2))÷((9p-36)/(5p^3-35p^2))	$\frac{1}{5 p^{2}} \div \frac{9 p - 36}{5 p^{3} - 35 p^{2}}$
25973	Solve for v	(5v-8)/5=(5v)/6	$\frac{5 v - 8}{5} = \frac{5 v}{6}$
25974	Simplify	(-5(m^-4n^-5)^-3)/(7(p^-6q^8)^-4)	$\frac{- 5 {(m^{- 4} n^{- 5})}^{- 3}}{7 {(p^{- 6} q^{8})}^{- 4}}$
25975	Graph	Graph the equation y=x/3-5 by plotting points.	Graph the equation $y = \frac{x}{3} - 5$ by plotting points.
25976	Solve the Function Operation	f(x)=-4x+8 g(x)=x^2-2x+1 Find: (fog)(x)	$f (x) = - 4 x + 8$ $g (x) = x^{2} - 2 x + 1$ Find: $((f \circ g)) (x)$
25977	Graph	y=x^5+x^3-2x+1	$y = x^{5} + x^{3} - 2 x + 1$
25978	Solve the Inequality for x	-2<=(3x-1)/8<=0	$- 2 \leq \frac{3 x - 1}{8} \leq 0$
25979	Solve the Function Operation	f(x)=(x+10)^7 ; find f^-1(x)	$f (x) = {(x + 10)}^{7}$ ; find $f^{- 1} (x)$
25980	Solve for d	18.77=3.5(d-12.6)+3.37	$18.77 = 3.5 (d - 12.6) + 3.37$
25981	Simplify	7x(8x^2-4y^2+3y-5)	$7 x (8 x^{2} - 4 y^{2} + 3 y - 5)$
25982	Simplify the Radical Expression	fourth root of (7x^3)/(4b^2)	$\sqrt[4]{\frac{7 x^{3}}{4 b^{2}}}$
25983	Find the Derivative - d/dx	(e^x+1)^2	${(e^{x} + 1)}^{2}$
25984	Simplify	( square root of 10+ square root of 6)( square root of 30- square root of 18)	$(\sqrt{10} + \sqrt{6}) (\sqrt{30} - \sqrt{18})$
25985	Graph	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
25986	Simplify	(3-3cos(x)^2)/(sin(x))	$\frac{3 - 3 \cos^{2} (x)}{\sin (x)}$
25987	Solve for x	square root of 3x-3 square root of x+4=0	$\sqrt{3 x} - 3 \sqrt{x + 4} = 0$
25988	Simplify	1/2(2n+4+6m)	$\frac{1}{2} (2 n + 4 + 6 m)$
25989	Find dy/dx	xy-4y^2=x-1	$x y - 4 y^{2} = x - 1$
25990	Write in Standard Form	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
25991	Simplify	cube root of -54* cube root of 1/2	$\sqrt[3]{- 54} \cdot \sqrt[3]{\frac{1}{2}}$
25992	Divide	a/(a-b)a/b	$\frac{a}{a - b} \cdot \frac{a}{b}$
25993	Solve for d	x^2-2x-15=(ax+b)(cx+d)	$x^{2} - 2 x - 15 = (a x + b) (c x + d)$
25994	Solve the Inequality for x	-3x^2-9x>-3x-240	$- 3 x^{2} - 9 x > - 3 x - 240$
25995	Simplify	(y^-4)(100y^8z^10)^(1/2)	$(y^{- 4}) {(100 y^{8} z^{10})}^{\frac{1}{2}}$
25996	Find the LCM	7 and 21	$7$ and $21$
25997	Simplify	4/3(3/2-3x)	$\frac{4}{3} (\frac{3}{2} - 3 x)$
25998	Solve the System of Equations	x+4y+z=12 y-3z=-7 z=3	$x + 4 y + z = 12$ $y - 3 z = - 7$ $z = 3$
25999	Find the Length of a	tri{}{45}{6}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
26000	Find the x and y Intercepts	f(x)=-\|x\|+7	$f (x) = - \| x \| + 7$