Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2801	Evaluate the Integral	integral from 5 to 8 of 1/(x square root of x^2-16) with respect to x	$\int_{5}^{8} \frac{1}{x \sqrt{x^{2} - 16}} d x$
2802	Solve for x	x+8=(x^2+16)^(1/2)	$x + 8 = {(x^{2} + 16)}^{\frac{1}{2}}$
2803	Simplify the Radical Expression	cube root of 1/9	$\sqrt[3]{\frac{1}{9}}$
2804	Divide	( square root of 8)÷( square root of 2)	$\sqrt{8} \div \sqrt{2}$
2805	Divide Using Long Polynomial Division	(8x^5-10x^3-3x)÷(-2x^3+3x)	$(8 x^{5} - 10 x^{3} - 3 x) \div (- 2 x^{3} + 3 x)$
2806	Expand the Logarithmic Expression	log of ( square root of y)/(4y+8)	$\log (\frac{\sqrt{y}}{4 y + 8})$
2807	Factor	y(a-c)+5a-5c	$y (a - c) + 5 a - 5 c$
2808	Simplify	(8a^3(b^5)^2)/(2a^5b^3)	$\frac{8 a^{3} {(b^{5})}^{2}}{2 a^{5} b^{3}}$
2809	Simplify	(m-n)(x+c)	$(m - n) (x + c)$
2810	Simplify	square root of (4x^6y^2)/(49xy^6)	$\sqrt{\frac{4 x^{6} y^{2}}{49 x y^{6}}}$
2811	Write in Slope-Intercept Form	2x-y<3	$2 x - y < 3$
2812	Find the Equation Using Slope-Intercept Form	(4,3) ; slope 1/2	$(4, 3)$ ; slope $\frac{1}{2}$
2813	Simplify	((-6x^4y^6)^2)/((-4x^-3y^5)^3)	$\frac{{(- 6 x^{4} y^{6})}^{2}}{{(- 4 x^{- 3} y^{5})}^{3}}$
2814	Solve the Inequality for x	6 square root of 8x-32-13<=11	$6 \sqrt{8 x - 32} - 13 \leq 11$
2815	Solve the Inequality for x	2 square root of x-8<24	$2 \sqrt{x - 8} < 24$
2816	Factor	a^2b-4a-ab^4+4b^3	$a^{2} b - 4 a - a b^{4} + 4 b^{3}$
2817	Find the Derivative - d/dx	-4x^-4+sec(x)-e^3	$- 4 x^{- 4} + \sec (x) - e^{3}$
2818	Find the Domain	4^x-14*2^x-32=0	$4^{x} - 14 \cdot 2^{x} - 32 = 0$
2819	Evaluate Using L'Hospital's Rule	limit as x approaches pi of (x+pisec(x))/(x^2-pi^2)	$lim_{x \to π} \frac{x + π \sec (x)}{x^{2} - π^{2}}$
2820	Simplify	cube root of (4x-7)^24	$\sqrt[3]{{(4 x - 7)}^{24}}$
2821	Solve for d	3d+16=-2(5-3d)	$3 d + 16 = - 2 (5 - 3 d)$
2822	Solve the Inequality for x	-1/2+x<3x-2<=5/2+x	$- \frac{1}{2} + x < 3 x - 2 \leq \frac{5}{2} + x$
2823	Simplify	( square root of 32)÷( square root of 2)	$\sqrt{32} \div \sqrt{2}$
2824	Graph	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
2825	Solve for x	11 cube root of 3-2x-6=60	$11 \sqrt[3]{3 - 2 x - 6} = 60$
2826	Simplify	(42x^-4y^10z^3)/(6x^2y^-2z)	$\frac{42 x^{- 4} y^{10} z^{3}}{6 x^{2} y^{- 2} z}$
2827	Evaluate the Integral	integral from -4 to 4 of 3 square root of x with respect to x	$\int_{- 4}^{4} 3 \sqrt{x} d x$
2828	Multiply	8 square root of 3x* square root of 15x	$8 \sqrt{3 x} \cdot \sqrt{15 x}$
2829	Solve the Inequality for z	z/-2-6<=-2	$\frac{z}{- 2} - 6 \leq - 2$
2830	Solve for j	-0.66(j+1)+7.48j=6.71j	$- 0.66 (j + 1) + 7.48 j = 6.71 j$
2831	Evaluate the Limit	limit as n approaches infinity of ((n-1)^2-(n+2)^2)/(3-n)	$lim_{n \to \infty} \frac{{(n - 1)}^{2} - {(n + 2)}^{2}}{3 - n}$
2832	Evaluate	(12^(4(10-8)))/4+5	$\frac{12^{4 (10 - 8)}}{4} + 5$
2833	Evaluate	1/16=64^(4x-3)	$\frac{1}{16} = 64^{4 x - 3}$
2834	Solve for u	5u+9-4u=17	$5 u + 9 - 4 u = 17$
2835	Simplify the Radical Expression	sixth root of 8m^9n^12	$\sqrt[6]{8 m^{9} n^{12}}$
2836	Simplify	cube root of 216/729	$\sqrt[3]{\frac{216}{729}}$
2837	Write Using Positive Exponents	(4^-3a^0)/(b^-7)	$\frac{4^{- 3} a^{0}}{b^{- 7}}$
2838	Identify the Conic	r=2/(1-cos(theta))	$r = \frac{2}{1 - \cos (θ)}$
2839	Solve the Inequality for v	55>-7v+6	$55 > - 7 v + 6$
2840	Simplify	3/(6u)+(3u)/(4v)	$\frac{3}{6 u} + \frac{3 u}{4 v}$
2841	Evaluate the Function	f(x)=3-x at x=2	$f (x) = 3 - x$ at $x = 2$
2842	Simplify	(x+(y-2))^3	${(x + (y - 2))}^{3}$
2843	Simplify	(-1/2)*(m^2+2n-p)	$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$
2844	Simplify	(3y^2-19y)/(y^2-25)+(y^2-y)/(y^2-25)	$\frac{3 y^{2} - 19 y}{y^{2} - 25} + \frac{y^{2} - y}{y^{2} - 25}$
2845	Simplify	(i^4-i^2)/(i^3)	$\frac{i^{4} - i^{2}}{i^{3}}$
2846	Write in Slope-Intercept Form	3x+y>=6	$3 x + y \geq 6$
2847	Find the Domain	(3a-1)/(a^2-b^2)-(3b-1)/(a^2-b^2)	$\frac{3 a - 1}{a^{2} - b^{2}} - \frac{3 b - 1}{a^{2} - b^{2}}$
2848	Simplify	((-3x^-6y^-1z^-2)/(6x^-2yz^-5))^-2	${(\frac{- 3 x^{- 6} y^{- 1} z^{- 2}}{6 x^{- 2} y z^{- 5}})}^{- 2}$
2849	Find the Domain	(a-(2a-1)/a)/((1-a)/(3a))	$\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}$
2850	Solve for x	25^(-6x-69)=(1/5)^(3x^2+3)	$25^{- 6 x - 69} = {(\frac{1}{5})}^{3 x^{2} + 3}$
2851	Find the Inverse	f(x)=1/2(x-1)^3	$f (x) = \frac{1}{2} {(x - 1)}^{3}$
2852	Simplify	9/(9^(-4/5))	$\frac{9}{9^{- \frac{4}{5}}}$
2853	Find the Antiderivative	sin(x)+2x	$\sin (x) + 2 x$
2854	Find All Complex Solutions	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
2855	Find the Derivative - d/dx	y=arctan( square root of x-9)	$y = \arctan (\sqrt{x - 9})$
2856	Evaluate	-5^22^33^0	$- 5^{2} \cdot 2^{3} \cdot 3^{0}$
2857	Simplify	3(p+0.05p)	$3 (p + 0.05 p)$
2858	Simplify	(12w^9v^4)/((4wv)^2)	$\frac{12 w^{9} v^{4}}{{(4 w v)}^{2}}$
2859	Solve for t	8(-0.17t+0.47)+0.32=-0.02(94t+30)	$8 (- 0.17 t + 0.47) + 0.32 = - 0.02 (94 t + 30)$
2860	Simplify	square root of cube root of 1458m^7	$\sqrt{\sqrt[3]{1458 m^{7}}}$
2861	Solve the Inequality for x	2 square root of 3x+6-8<=4	$2 \sqrt{3 x + 6} - 8 \leq 4$
2862	Graph	y<1/2x+1 y<-2x+2	$y < \frac{1}{2} x + 1$ $y < - 2 x + 2$
2863	Solve for x	(4x)/(x-1)+x/(x-2)=0	$\frac{4 x}{x - 1} + \frac{x}{x - 2} = 0$
2864	Find All Complex Solutions	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
2865	Solve for x	5/2=3/(2(x+5))+2/(x+5)	$\frac{5}{2} = \frac{3}{2 (x + 5)} + \frac{2}{x + 5}$
2866	Simplify	(-3x^2-5x+2)/(x^3+2x^2)	$\frac{- 3 x^{2} - 5 x + 2}{x^{3} + 2 x^{2}}$
2867	Simplify	(3^2m^6t^8)/(3^6m^9t^-6)	$\frac{3^{2} m^{6} t^{8}}{3^{6} m^{9} t^{- 6}}$
2868	Find the Other Trig Values in Quadrant IV	cos(2A)=5/8	$\cos (2 A) = \frac{5}{8}$
2869	Solve for x	1125=9x^3	$1125 = 9 x^{3}$
2870	Find the Derivative - d/dx	x^(2/3)(20-x)	$x^{\frac{2}{3}} (20 - x)$
2871	Find the Product	(a+b^2-c^3)^2	${(a + b^{2} - c^{3})}^{2}$
2872	Simplify	cube root of 9- square root of 4- square root of 9	$\sqrt[3]{9 - \sqrt{4 - \sqrt{9}}}$
2873	Solve for n	n/(n-4)+n=(12-4n)/(n-4)	$\frac{n}{n - 4} + n = \frac{12 - 4 n}{n - 4}$
2874	Solve the System of Equations	y=-5x y=x-6	$y = - 5 x$ $y = x - 6$
2875	Find the Domain	1/(\|x\|-3)	$\frac{1}{\| x \| - 3}$
2876	Simplify	( fourth root of 2)(2 fourth root of 32)	$(\sqrt[4]{2}) (2 \sqrt[4]{32})$
2877	Graph	f(x)=2-(x-1)^3	$f (x) = 2 - {(x - 1)}^{3}$
2878	Solve for P	M=2P+3Q	$M = 2 P + 3 Q$
2879	Simplify	3*2x+9z+2-4x-1	$3 \cdot 2 x + 9 z + 2 - 4 x - 1$
2880	Find the Domain	(-6 plus or minus square root of 6^2-4*1(y^2-2y-15))/2	$\frac{- 6 \pm \sqrt{6^{2} - 4 \cdot 1 (y^{2} - 2 y - 15)}}{2}$
2881	Convert to a Decimal	12rad	$12$ radians
2882	Simplify the Radical Expression	square root of (x+5)^6	$\sqrt{{(x + 5)}^{6}}$
2883	Simplify	square root of 72x^5+2x^2 square root of 18x-x square root of 2x^3	$\sqrt{72 x^{5}} + 2 x^{2} \sqrt{18 x} - x \sqrt{2 x^{3}}$
2884	Evaluate the Limit	limit as x approaches 0 of (1-cos(x)^2022)/(xsin(x))	$lim_{x \to 0} \frac{1 - \cos^{2022} (x)}{x \sin (x)}$
2885	Simplify	3(14÷(4^2-3^2)-5)	$3 (14 \div (4^{2} - 3^{2}) - 5)$
2886	Simplify	(16(x^3y)^2)/(2(xy^0)^4)	$\frac{16 {(x^{3} y)}^{2}}{2 {(x y^{0})}^{4}}$
2887	Graph	2^(x+1)>32	$2^{x + 1} > 32$
2888	Simplify	(4/(3x^7))÷((x-2)/(9x^5))	$\frac{4}{3 x^{7}} \div \frac{x - 2}{9 x^{5}}$
2889	Find the Second Derivative	e^(e^(x^2))	$e^{e^{x^{2}}}$
2890	Simplify	(a(x-2y))/(b(2y-x))	$\frac{a (x - 2 y)}{b (2 y - x)}$
2891	Find the Derivative - d/dx	1/2cot(x)	$\frac{1}{2} \cot (x)$
2892	Simplify	(7x^(3/2))/(-14x^(1/3))	$\frac{7 x^{\frac{3}{2}}}{- 14 x^{\frac{1}{3}}}$
2893	Evaluate the Limit	limit as x approaches 3 from the right of (4e^(2x)+5)/(10-2e^(2x))	$lim_{x \to 3^{+}} \frac{4 e^{2 x} + 5}{10 - 2 e^{2 x}}$
2894	Simplify	sixth root of (64h^12)/(g^6)	$\sqrt[6]{\frac{64 h^{12}}{g^{6}}}$
2895	Simplify the Radical Expression	square root of 49(x^3+4)^6	$\sqrt{49 {(x^{3} + 4)}^{6}}$
2896	Simplify	7 square root of 3y^2*2 square root of 6x^3y	$7 \sqrt{3 y^{2}} \cdot 2 \sqrt{6 x^{3} y}$
2897	Write as a Single Logarithm	1/2( log base 6 of 45- log base 6 of 5)+ log base 6 of 12	$\frac{1}{2} (\log_{6} (45) - \log_{6} (5)) + \log_{6} (12)$
2898	Simplify	((5y^2)/(1-y^2))÷(1-1/(1-y))	$\frac{5 y^{2}}{1 - y^{2}} \div (1 - \frac{1}{1 - y})$
2899	Simplify the Radical Expression	20 root of 32m^15n^5	$\sqrt[20]{32 m^{15} n^{5}}$
2900	Simplify the Radical Expression	square root of cube root of 64	$\sqrt[2]{\sqrt[3]{64}}$