Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5801	Divide Using Long Polynomial Division	6x^3+25x^2+18x+14 divided by 2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14$ divided by $2 x + 7$
5802	Simplify	Simplify: (8^(2/3))^4	Simplify: ${(8^{\frac{2}{3}})}^{4}$
5803	Find the Domain	b/(2a^2-ab)-(4a)/(2ab-b^2)	$\frac{b}{2 a^{2} - a b} - \frac{4 a}{2 a b - b^{2}}$
5804	Solve for c	(1/27)^(c+4)=3^4*3^(c-9)	${(\frac{1}{27})}^{c + 4} = 3^{4} \cdot 3^{c - 9}$
5805	Evaluate the Limit	limit as x approaches 2 from the left of x^3-2x^2-3	$lim_{x \to 2^{-}} x^{3} - 2 x^{2} - 3$
5806	Simplify	2x(x+3(x+1))	$2 x (x + 3 (x + 1))$
5807	Simplify	3/4x+5(1/4x+3)	$\frac{3}{4} x + 5 (\frac{1}{4} x + 3)$
5808	Identify the Sequence	-1/8 , -1/4 , -1/2 , -1	$- \frac{1}{8}$ , $- \frac{1}{4}$ , $- \frac{1}{2}$ , $- 1$
5809	Simplify the Radical Expression	( square root of 3- square root of 6)/( square root of 3+ square root of 6)	$\frac{\sqrt{3} - \sqrt{6}}{\sqrt{3} + \sqrt{6}}$
5810	Solve by Substitution	y=4+x y=-5x+16	$y = 4 + x$ $y = - 5 x + 16$
5811	Simplify	((4x^-2y^5)/(8x^6y^-2))^-2	${(\frac{4 x^{- 2} y^{5}}{8 x^{6} y^{- 2}})}^{- 2}$
5812	Evaluate	(3 1/3÷10+0.175÷0.35)/(1.75-1 11/1751/56)-((11/18-1/15)÷1.4)/((0.5-1/9)3)	$\frac{3 \frac{1}{3} \div 10 + 0.175 \div 0.35}{1.75 - 1 \frac{11}{17} \cdot \frac{51}{56}} - \frac{(\frac{11}{18} - \frac{1}{15}) \div 1.4}{(0.5 - \frac{1}{9}) \cdot 3}$
5813	Simplify	((-3/4)^5)^2	${({(- \frac{3}{4})}^{5})}^{2}$
5814	Find the Percentage Rate of Change	m(t)=(4/5)^t	$m (t) = {(\frac{4}{5})}^{t}$
5815	Solve for x	1/x+6=5/( square root of x)	$\frac{1}{x} + 6 = \frac{5}{\sqrt{x}}$
5816	Simplify	((4x^2y^3)^0)/(8x^3)	$\frac{{(4 x^{2} y^{3})}^{0}}{8 x^{3}}$
5817	Simplify	(4a-3b+2c)-(-6a+4b-2c-2)	$(4 a - 3 b + 2 c) - (- 6 a + 4 b - 2 c - 2)$
5818	Solve the System of Equations	6x+3y=54 2x+y=18	$6 x + 3 y = 54$ $2 x + y = 18$
5819	Find dx/dy	y = square root of x+x^(3/2)-8x	$y = \sqrt{x} + x^{\frac{3}{2}} - 8 x$
5820	Solve the System of Equations	y-3=2x y^2=x^2+9	$y - 3 = 2 x$ $y^{2} = x^{2} + 9$
5821	Simplify the Radical Expression	fourth root of y^(7/3)y^(1/3)	$\sqrt[4]{y^{\frac{7}{3}} y^{\frac{1}{3}}}$
5822	Simplify	(5a+3b)(4a^-1-2b^-1)	$(5 a + 3 b) (4 a^{- 1} - 2 b^{- 1})$
5823	Simplify	-1/5(10x+y)	$- \frac{1}{5} (10 x + y)$
5824	Solve for n	(n-27)^(3/2)=64	${(n - 27)}^{\frac{3}{2}} = 64$
5825	Solve for V	V^2=-144	$V^{2} = - 144$
5826	Solve for x	2x-(3x)/2=4	$2 x - \frac{3 x}{2} = 4$
5827	Simplify	(n^-6*n^5)^(1/4)	${(n^{- 6} \cdot n^{5})}^{\frac{1}{4}}$
5828	Simplify the Radical Expression	4 cube root of -9*7 cube root of 48	$4 \sqrt[3]{- 9} \cdot 7 \sqrt[3]{48}$
5829	Solve the Inequality for r	r-6>-11	$r - 6 > - 11$
5830	Simplify	( square root of 48x^7y^5)/( square root of x^2)	$\frac{\sqrt{48 x^{7} y^{5}}}{\sqrt{x^{2}}}$
5831	Solve for x	-4=6^(4x-3)	$- 4 = 6^{4 x - 3}$
5832	Solve for k	20/8=(4k)/32	$\frac{20}{8} = \frac{4 k}{32}$
5833	Integrate Using Partial Fractions	integral of (3x^3-3x+4)/(4x^2-4) with respect to x	$\int \frac{3 x^{3} - 3 x + 4}{4 x^{2} - 4} d x$
5834	Evaluate	((2^5)^-3)/((2^-2)^2)	$\frac{{(2^{5})}^{- 3}}{{(2^{- 2})}^{2}}$
5835	Evaluate	fourth root of (24x^6y)/(128x^4y^5)	$\sqrt[4]{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
5836	Find the Derivative of the Integral	integral from -2 to 2 of (x^3cos(x/2)+1/2) square root of 4-x^2dx with respect to x	$\int_{- 2}^{2} (x^{3} \cos (\frac{x}{2}) + \frac{1}{2}) \sqrt{4 - x^{2} d x} d x$
5837	Find the Antiderivative	x* natural log of x	$x \cdot \ln (x)$
5838	Write in Exponential Form	square root of (6a)^4	$\sqrt{{(6 a)}^{4}}$
5839	Simplify the Matrix	x/a+x/b=c , a!=0 , b!=0 , a!=-b	$\frac{x}{a} + \frac{x}{b} = c$ , $a \neq 0$ , $b \neq 0$ , $a \neq - b$
5840	Multiply	(2x^2-y)(x^2+y)	$(2 x^{2} - y) (x^{2} + y)$
5841	Write as a Single Logarithm	7* log base 5 of x+3* log base 5 of y^4	$7 \cdot \log_{5} (x) + 3 \cdot \log_{5} (y^{4})$
5842	Graph	8x<24 and -8<=2x-4	$8 x < 24$ and $- 8 \leq 2 x - 4$
5843	Write as a Single Logarithm	1/2* log base 3 of 9x+3/2* log base 3 of 4x^3	$\frac{1}{2} \cdot \log_{3} (9 x) + \frac{3}{2} \cdot \log_{3} (4 x^{3})$
5844	Find the Inverse	y=-6+(x+10)^2	$y = - 6 + {(x + 10)}^{2}$
5845	Simplify the Radical Expression	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
5846	Solve for b	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
5847	Solve the System of Equations	7y+13=-5x 5x=8y-28	$7 y + 13 = - 5 x$ $5 x = 8 y - 28$
5848	Evaluate	2(3a^2)^3	$2 {(3 a^{2})}^{3}$
5849	Solve for p	1+8p-4p+5=2(p-3)-2(p-2)	$1 + 8 p - 4 p + 5 = 2 (p - 3) - 2 (p - 2)$
5850	Find the Quotient	(x^2-5x+2)÷(x-3)	$(x^{2} - 5 x + 2) \div (x - 3)$
5851	Solve for m	square root of m-4=3	$\sqrt{m - 4} = 3$
5852	Find the First Term	a_n=((n+2)!)/((n+3)!)	$a_{n} = \frac{(n + 2)!}{(n + 3)!}$
5853	Simplify	4m^-4np^-9	$4 m^{- 4} n p^{- 9}$
5854	Simplify	5(7x-8(1+x))	$5 (7 x - 8 (1 + x))$
5855	Write in Standard Form	(-7-i)/(-8+i)	$\frac{- 7 - i}{- 8 + i}$
5856	Solve for x	square root of 6-2x+x=2(x+15)-9	$\sqrt{6 - 2 x} + x = 2 (x + 15) - 9$
5857	Solve for x	square root of 9x+1 = square root of 10x+9	$\sqrt{9 x} + 1 = \sqrt{10 x + 9}$
5858	Simplify	(a^-1+b^-1)/(a^-2b^-2)	$\frac{(a^{- 1} + b^{- 1})}{a^{- 2} b^{- 2}}$
5859	Simplify	(5 square root of 63)÷6 square root of 7	$5 \sqrt{63} \div 6 \sqrt{7}$
5860	Find the x and y Intercepts	y = log of 3x+4+2	$y = \log (3 x + 4) + 2$
5861	Evaluate the Integral	integral from 5 to square root of x of f(t) with respect to t=x^2	$\int_{5}^{\sqrt{x}} f (t) d t = x^{2}$
5862	Solve for x	12^(2x-1)=( fourth root of 12)^x	$12^{2 x - 1} = {(\sqrt[4]{12})}^{x}$
5863	Simplify	square root of 2* square root of 2^3	$\sqrt{2} \cdot \sqrt{2^{3}}$
5864	Solve the System of Inequalities	3x+2y>=-2 x+2y<=2	$3 x + 2 y \geq - 2$ $x + 2 y \leq 2$
5865	Subtract	2/(x+3)-3/(x^2-9)	$\frac{2}{x + 3} - \frac{3}{x^{2} - 9}$
5866	Simplify the Radical Expression	1/(( fourth root of 5x)^5)	$\frac{1}{{(\sqrt[4]{5 x})}^{5}}$
5867	Solve for x	(b-a)/(a-c)=x/(c-a)	$\frac{b - a}{a - c} = \frac{x}{c - a}$
5868	Find the Domain	(m+1-1/(1-m))÷(m-(m^2)/(m-1))	$(m + 1 - \frac{1}{1 - m}) \div (m - \frac{m^{2}}{m - 1})$
5869	Simplify	((x^2+2x+1)/(x+1))÷((x-1)/(x^2-1))	$\frac{x^{2} + 2 x + 1}{x + 1} \div \frac{x - 1}{x^{2} - 1}$
5870	Find Where Increasing/Decreasing	f(x)=-3/5x^5+9x^4-32x^3+49	$f (x) = - \frac{3}{5} x^{5} + 9 x^{4} - 32 x^{3} + 49$
5871	Solve for x	-4(2-x)=4x-8	$- 4 (2 - x) = 4 x - 8$
5872	Simplify	( cube root of x)/( sixth root of x^5)	$\frac{\sqrt[3]{x}}{\sqrt[6]{x^{5}}}$
5873	Find the Roots (Zeros)	16x^2+16=0	$16 x^{2} + 16 = 0$
5874	Simplify	( cube root of -16)^3	${(\sqrt[3]{- 16})}^{3}$
5875	Find the Product	(3m-2n^2)^2	${(3 m - 2 n^{2})}^{2}$
5876	Graph	y=x!	$y = x!$
5877	Simplify	(24a^3b^2-16a^2b^3)/(8ab)	$\frac{24 a^{3} b^{2} - 16 a^{2} b^{3}}{8 a b}$
5878	Solve for x	125^(2x)=(1/5)^(-2x^2-4)	$125^{2 x} = {(\frac{1}{5})}^{- 2 x^{2} - 4}$
5879	Solve for x	\|2x\|=\|x+3\|	$\| 2 x \| = \| x + 3 \|$
5880	Add	5 square root of 3+ square root of 12	$5 \sqrt{3} + \sqrt{12}$
5881	Solve the System of Equations	y=1/2x+1 y=x-1	$y = \frac{1}{2} x + 1$ $y = x - 1$
5882	Simplify	( square root of 35x^4)/( square root of 7x^4)	$\frac{\sqrt{35 x^{4}}}{\sqrt{7 x^{4}}}$
5883	Evaluate the Integral	integral from 0 to 1 of (x^2-1)e^x with respect to x	$\int_{0}^{1} (x^{2} - 1) e^{x} d x$
5884	Solve the Function Operation	Find (f-g)(x) if f(x)=x^3+9x-2 and g(x)=3x^3+4x^2+1	Find $(f - g) (x)$ if $f (x) = x^{3} + 9 x - 2$ and $g (x) = 3 x^{3} + 4 x^{2} + 1$
5885	Find the Domain and Range	1/(\|x\|-3)	$\frac{1}{\| x \| - 3}$
5886	Evaluate the Integral	integral of (2x+2)/( square root of 3x^2+6x) with respect to x	$\int \frac{2 x + 2}{\sqrt{3 x^{2} + 6 x}} d x$
5887	Solve for y	(2y)/3-1/6=7/2	$\frac{2 y}{3} - \frac{1}{6} = \frac{7}{2}$
5888	Write the Fraction in Simplest Form	(2(a^4)^2)/(6a)	$\frac{2 {(a^{4})}^{2}}{6 a}$
5889	Evaluate the Limit	limit as x approaches -2 of (-6\|x\|+12)/(3x+6)	$lim_{x \to - 2} \frac{- 6 \| x \| + 12}{3 x + 6}$
5890	Evaluate	((3^9)/(3^-5))	$(\frac{3^{9}}{3^{- 5}})$
5891	Graph	y>=4x y<x+2	$y \geq 4 x$ $y < x + 2$
5892	Simplify	(2t(t+1))/(t-1)-(3+t)/(t-1)	$\frac{2 t (t + 1)}{t - 1} - \frac{(3 + t)}{t - 1}$
5893	Graph	f(x)=cos(1/2)(x-pi/2)-1	$f (x) = \cos (\frac{1}{2}) (x - \frac{π}{2}) - 1$
5894	Solve for y	y=(7/8)^3	$y = {(\frac{7}{8})}^{3}$
5895	Simplify	(4 square root of 3)÷3 square root of 3	$4 \sqrt{3} \div 3 \sqrt{3}$
5896	Simplify	-4d(5d^2-12)+7(d+5)	$- 4 d (5 d^{2} - 12) + 7 (d + 5)$
5897	Solve for x	2^(x^2)1/2-3^(x^2)=3^(x^2)1/3-2^(x^2)*4	$2^{x^{2}} \cdot \frac{1}{2} - 3^{x^{2}} = 3^{x^{2}} \cdot \frac{1}{3} - 2^{x^{2}} \cdot 4$
5898	Evaluate	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
5899	Evaluate	(11(-8)^(2/3))/7	$\frac{11 {(- 8)}^{\frac{2}{3}}}{7}$
5900	Simplify	seventh root of a-3 seventh root of a+5 seventh root of a	$\sqrt[7]{a} - 3 \sqrt[7]{a} + 5 \sqrt[7]{a}$