Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
39701	Simplify	(7x^2-4x-3)-(9x^3+4x^2-9x+1)	$(7 x^{2} - 4 x - 3) - (9 x^{3} + 4 x^{2} - 9 x + 1)$
39702	Convert to Radical Form	9^(3/2)s^(6/3)t^(1/2)	$9^{\frac{3}{2}} s^{\frac{6}{3}} t^{\frac{1}{2}}$
39703	Solve the System of Inequalities	8x<24 and -8<=2x-4	$8 x < 24$ and $- 8 \leq 2 x - 4$
39704	Find the Parabola with Focus (7,-6) and Directrix x=5	(7,-6) x=5	$(7, - 6)$ $x = 5$
39705	Find the Product	(4a^3)(-3a^2)(5a^3)	$(4 a^{3}) (- 3 a^{2}) (5 a^{3})$
39706	Simplify	(x-2)/(-(2-x))	$\frac{x - 2}{- (2 - x)}$
39707	Simplify	12 cube root of 2z^5-z cube root of 54z^3	$12 \sqrt[3]{2 z^{5}} - z \sqrt[3]{54 z^{3}}$
39708	Find Amplitude, Period, and Phase Shift	y=-2cos(2x+pi)-1	$y = - 2 \cos (2 x + π) - 1$
39709	Evaluate the Function	f(x)=x^3+2x^2-5x+12 , x=-3	$f (x) = x^{3} + 2 x^{2} - 5 x + 12$ , $x = - 3$
39710	Solve for x	1/x=1/2+1/3	$\frac{1}{x} = \frac{1}{2} + \frac{1}{3}$
39711	Simplify	(5/3x+4)(1/3x+1)	$(\frac{5}{3} x + 4) (\frac{1}{3} x + 1)$
39712	Find the GCF	260 and 348	$260$ and $348$
39713	Simplify	18x+3xy+5y-2(6xy-2y+4)	$18 x + 3 x y + 5 y - 2 (6 x y - 2 y + 4)$
39714	Find the Derivative - d/dx	x^2+4^y	$x^{2} + 4^{y}$
39715	Find the Second Derivative	2sin(x)+sin(2x)	$2 \sin (x) + \sin (2 x)$
39716	Convert to Radical Form	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
39717	Simplify the Radical Expression	1/( square root of x^9)	$\frac{1}{\sqrt{x^{9}}}$
39718	Simplify the Radical Expression	square root of 6*7 square root of 18	$\sqrt{6} \cdot 7 \sqrt{18}$
39719	Integrate By Parts	integral of square root of 1-x^2 with respect to x	$\int \sqrt{1 - x^{2}} d x$
39720	Evaluate the Integral	integral from 0 to infinity of sin(x) with respect to x	$\int_{0}^{\infty} \sin (x) d x$
39721	Simplify	(5y)/(y^2-7y)-4/(2y-14)+9/y	$\frac{5 y}{y^{2} - 7 y} - \frac{4}{2 y - 14} + \frac{9}{y}$
39722	Solve the Rational Equation for x	(x+2)^(4/3)=1/81	${(x + 2)}^{\frac{4}{3}} = \frac{1}{81}$
39723	Evaluate	(-2/7)(14/-9)	$(- \frac{2}{7}) (\frac{14}{- 9})$
39724	Find the Tangent Line at (1,-7)	y=x^3-8x , (1,-7)	$y = x^{3} - 8 x$ , $(1, - 7)$
39725	Graph	y=\|x-a\|	$y = \| x - a \|$
39726	Solve the Inequality for n	9n-24n+45>0	$9 n - 24 n + 45 > 0$
39727	Find the Slope	(-3,-4) and (3,0)	$(- 3, - 4)$ and $(3, 0)$
39728	Find All Complex Solutions	(4x+1)/(x-2)+2/x=-4/(x^2-2x)	$\frac{4 x + 1}{x - 2} + \frac{2}{x} = \frac{- 4}{x^{2} - 2 x}$
39729	Evaluate	((5x^-4y^3)/(2x^2y^0))^2*((4xy)/(y^3))^2	${(\frac{5 x^{- 4} y^{3}}{2 x^{2} y^{0}})}^{2} \cdot {(\frac{4 x y}{y^{3}})}^{2}$
39730	Plot	sin(theta)>0 , tan(theta)<0	$\sin (θ) > 0$ , $\tan (θ) < 0$
39731	Simplify	limit as x approaches 6 of (x^2-3x-18)/(x^2-12x+36)	$lim_{x \to 6} \frac{x^{2} - 3 x - 18}{x^{2} - 12 x + 36}$
39732	Simplify	square root of (x^4+3)^12	$\sqrt{{(x^{4} + 3)}^{12}}$
39733	Evaluate	fourth root of 16w^10+2w fourth root of w^6	$\sqrt[4]{16 w^{10}} + 2 w \sqrt[4]{w^{6}}$
39734	Evaluate	3/4(-1)^(4/3)-3/5(-1)^(5/3)	$\frac{3}{4} {(- 1)}^{\frac{4}{3}} - \frac{3}{5} {(- 1)}^{\frac{5}{3}}$
39735	Multiply	2y-5y^23y^3	$2 y \cdot - 5 y^{2} \cdot 3 y^{3}$
39736	Find the Average Rate of Change	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
39737	Determine if Odd, Even, or Neither	f(x)=a^x	$f (x) = a^{x}$
39738	Graph	x<2 and x>-2	$x < 2$ and $x > - 2$
39739	Factor	12d^2e+16d^2e^2	$12 d^{2} e + 16 d^{2} e^{2}$
39740	Evaluate	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
39741	Find dy/dx	y = square root of (4x^2)/(2-2x)	$y = \sqrt{\frac{4 x^{2}}{2 - 2 x}}$
39742	Find Amplitude, Period, and Phase Shift	y=-5tan(3x+pi)	$y = - 5 \tan (3 x + π)$
39743	Factor	(3x+1)(x-2)-4(3x+1)	$(3 x + 1) (x - 2) - 4 (3 x + 1)$
39744	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-10x^2+19x+20 is divided by x-4	Use synthetic division to find the result when $x^{3} - 10 x^{2} + 19 x + 20$ is divided by $x - 4$
39745	Find the Asymptotes	f(x)=2* log base 3 of x+4	$f (x) = 2 \cdot \log_{3} (x + 4)$
39746	Divide	( square root of 2)÷(2+ square root of 3)	$\sqrt{2} \div (2 + \sqrt{3})$
39747	Find the Product	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
39748	Solve for x	square root of -x+2+ square root of -3x+4=-2	$\sqrt{- x + 2} + \sqrt{- 3 x + 4} = - 2$
39749	Solve for p	-4+6p+18+3p=9(p+1)+5	$- 4 + 6 p + 18 + 3 p = 9 (p + 1) + 5$
39750	Evaluate	Find the value of cube root of 343	Find the value of $\sqrt[3]{343}$
39751	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+21x^2-5x-10 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 21 x^{2} - 5 x - 10$ is divided by $3 x + 2$
39752	Find Amplitude, Period, and Phase Shift	y=1/2cos((4pix)/5-5pi)	$y = \frac{1}{2} \cos (\frac{4 π x}{5} - 5 π)$
39753	Solve the Inequality for x	5x^2-25x<x-5	$5 x^{2} - 25 x < x - 5$
39754	Evaluate	7(y+3)=5y+8	$7 (y + 3) = 5 y + 8$
39755	Evaluate the Summation	5 sum from i=1 to 14 of i^2+13	$5 \sum_{i = 1}^{14} i^{2} + 13$
39756	Find the Exact Value	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
39757	Simplify	3+2x+4+5x-7	$3 + 2 x + 4 + 5 x - 7$
39758	Divide	2÷(8/3)	$2 \div \frac{8}{3}$
39759	Solve for t	(sec(t)-cos(t))/(sec(t))=(f(t))^2	$\frac{\sec (t) - \cos (t)}{\sec (t)} = {(f (t))}^{2}$
39760	Evaluate	(-1/6)+(-1/2)	$(- \frac{1}{6}) + (- \frac{1}{2})$
39761	Simplify	((x/2)^-2)/((y/4)^-2)	$\frac{{(\frac{x}{2})}^{- 2}}{{(\frac{y}{4})}^{- 2}}$
39762	Find the Domain	1-(1-x^3)^3	$1 - {(1 - x^{3})}^{3}$
39763	Find dy/dx	y=sinh(5x)^2	$y = \sinh^{2} (5 x)$
39764	Simplify	2m^2*5n^6	$2 m^{2} \cdot 5 n^{6}$
39765	Find the Derivative - d/dx	( square root of x^5)/2	$\frac{\sqrt{x^{5}}}{2}$
39766	Solve the System of Equations	2^(x+y)=16 2^(2x+y)=1/8	$2^{x + y} = 16$ $2^{2 x + y} = \frac{1}{8}$
39767	Find the Integral	1+x^2	$1 + x^{2}$
39768	Solve the Function Operation	f(x)=x^2-x-6 calcula (f(-5))/(f(2))	$f (x) = x^{2} - x - 6$ calcula $\frac{f (- 5)}{f (2)}$
39769	Find the x and y Intercepts	f(x)=(1/2)^(-x)-5	$f (x) = {(\frac{1}{2})}^{- x} - 5$
39770	Simplify	(ab^2-5)(a^2b^4+5ab^2+25)	$(a b^{2} - 5) (a^{2} b^{4} + 5 a b^{2} + 25)$
39771	Simplify	(-7/2)÷((3x)/(x-9))	$- \frac{7}{2} \div \frac{3 x}{x - 9}$
39772	Find the Product	(2x+y-4z)^2	${(2 x + y - 4 z)}^{2}$
39773	Simplify	(2x^2-4y+7xy-6y^2)-(-3x^2+5y-4xy+y^2)	$(2 x^{2} - 4 y + 7 x y - 6 y^{2}) - (- 3 x^{2} + 5 y - 4 x y + y^{2})$
39774	Find the Derivative - d/dx	2/(x^(1/3))-2	$\frac{2}{x^{\frac{1}{3}}} - 2$
39775	Evaluate	4i(-2-8i)	$4 i (- 2 - 8 i)$
39776	Simplify	(u^3+v^3)/(u^3-v^3)*(u^2-v^2)/(u^2+2uv+v^2)	$\frac{u^{3} + v^{3}}{u^{3} - v^{3}} \cdot \frac{u^{2} - v^{2}}{u^{2} + 2 u v + v^{2}}$
39777	Simplify	(x^3+2x^2)(3x^2-1)	$(x^{3} + 2 x^{2}) (3 x^{2} - 1)$
39778	Graph	p(x)=-a(x+b)(x-c)^2	$p (x) = - a (x + b) {(x - c)}^{2}$
39779	Find the Derivative - d/dx	5xy-x^2-y^2-5	$5 x y - x^{2} - y^{2} - 5$
39780	Evaluate	\|11(-6)-4*-3\|-8	$\| 11 (- 6) - 4 \cdot - 3 \| - 8$
39781	Solve for x	cube root of (3x+8)^2=1	$\sqrt[3]{{(3 x + 8)}^{2}} = 1$
39782	Evaluate the Integral	integral of (5 square root of x) with respect to x	$\int (5 \sqrt{x}) d x$
39783	Simplify	(((x^2y)^4)^(1/2))/(((x^2y)^(1/2))^4)	$\frac{{({(x^{2} y)}^{4})}^{\frac{1}{2}}}{{({(x^{2} y)}^{\frac{1}{2}})}^{4}}$
39784	Solve for x	3-1/2x=3/2x+4-x	$3 - \frac{1}{2} x = \frac{3}{2} x + 4 - x$
39785	Solve for x	square root of 3x-1=2 square root of 5	$\sqrt{3 x - 1} = 2 \sqrt{5}$
39786	Solve the Rational Equation for x	-x/(x+8)+7=8/(x+8)	$- \frac{x}{x + 8} + 7 = \frac{8}{x + 8}$
39787	Find f(g(x))	f(x)=2x and g(x)=x^2+3	$f (x) = 2 x$ and $g (x) = x^{2} + 3$
39788	Evaluate	cube root of 2* fifth root of 2^3	$\sqrt[3]{2} \cdot \sqrt[5]{2^{3}}$
39789	Solve for x	3/(2(3x-3)^(1/2))=1/3	$\frac{3}{2 {(3 x - 3)}^{\frac{1}{2}}} = \frac{1}{3}$
39790	Find the Antiderivative	f(x)=(x^3)/2-cos(3x)	$f (x) = \frac{x^{3}}{2} - \cos (3 x)$
39791	Solve for x	4x+3(4x+7)=4(7x+3)-3	$4 x + 3 (4 x + 7) = 4 (7 x + 3) - 3$
39792	Solve for x	1/(2x)+1/x=1/15	$\frac{1}{2 x} + \frac{1}{x} = \frac{1}{15}$
39793	Factor	12x-5 square root of x-2	$12 x - 5 \sqrt{x} - 2$
39794	Solve for x	5/x-3/x=8	$\frac{5}{x} - \frac{3}{x} = 8$
39795	Simplify	(2yx^3)/(x^2y^3)	$\frac{2 y x^{3}}{x^{2} y^{3}}$
39796	Expand Using Sum/Difference Formulas	(2x+5)(2x-5)	$(2 x + 5) (2 x - 5)$
39797	Solve for x	2x^2-12x=-6	$2 x^{2} - 12 x = - 6$
39798	Factor	f(x)=(x^2-19x+88)/(x^2-121)	$f (x) = \frac{x^{2} - 19 x + 88}{x^{2} - 121}$
39799	Solve for F	2/3(F+G)=D	$\frac{2}{3} (F + G) = D$
39800	Solve for x	log base 4 of x = log base 8 of 4x	$\log_{4} (x) = \log_{8} (4 x)$