Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34701	Solve the System of Equations	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
34702	Solve the System of Inequalities	y>1/3x-5 y>-x+3	$y > \frac{1}{3} x - 5$ $y > - x + 3$
34703	Simplify	2h+3h^2-4g^4+5f^2+11g^4-4h+f^2	$2 h + 3 h^{2} - 4 g^{4} + 5 f^{2} + 11 g^{4} - 4 h + f^{2}$
34704	Add	(2x+3)/(x-4)+3/(x+8)	$\frac{2 x + 3}{x - 4} + \frac{3}{x + 8}$
34705	Simplify	(x^8x^3y^-2)/(x^-1y^-5)	$\frac{x^{8} x^{3} y^{- 2}}{x^{- 1} y^{- 5}}$
34706	Simplify	(14a^4b^3-20a^2b^2+2ab)*(2ab)^-1	$(14 a^{4} b^{3} - 20 a^{2} b^{2} + 2 a b) \cdot {(2 a b)}^{- 1}$
34707	Solve for X	F=1/2XP	$F = \frac{1}{2} X P$
34708	Find the Derivative - d/dx	square root of 1+cos(x)	$\sqrt{1 + \cos (x)}$
34709	Solve the System of Equations	x+2y=22 and 4x+y=46	$x + 2 y = 22$ and $4 x + y = 46$
34710	Simplify	(4y)/(x-3y)+(2x-2y)/(3y-x)	$\frac{4 y}{x - 3 y} + \frac{(2 x - 2 y)}{3 y - x}$
34711	Simplify	(1/9)÷((3x+10)/(x+2))	$\frac{1}{9} \div \frac{3 x + 10}{x + 2}$
34712	Solve the Rational Equation for x	1/(3x-2)+1=3/(3x+2)	$\frac{1}{3 x - 2} + 1 = \frac{3}{3 x + 2}$
34713	Evaluate	(5+-6i)(2+4i)	$(5 + - 6 i) (2 + 4 i)$
34714	Evaluate	(8)^6-64(8)^4+(8)^2-7*8-51	${(8)}^{6} - 64 {(8)}^{4} + {(8)}^{2} - 7 \cdot 8 - 51$
34715	Solve for v	5v^2+7v-3=-v^2	$5 v^{2} + 7 v - 3 = - v^{2}$
34716	Solve for θ in Degrees	cot(theta)^2-9=0	$\cot^{2} (θ) - 9 = 0$
34717	Find the Direction Angle of the Vector	P=(( square root of 2)/2,( square root of 2)/2)	$P = (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$
34718	Simplify the Radical Expression	( square root of 5- square root of 6)/( square root of 18)	$\frac{\sqrt{5} - \sqrt{6}}{\sqrt{18}}$
34719	Find the GCF	6 and 8	$6$ and $8$
34720	Evaluate Using the Given Value	-50x^2-50x+1 , 0=R	$- 50 x^{2} - 50 x + 1$ , $0 = R$
34721	Evaluate	5/4pi-pi	$\frac{5}{4} π - π$
34722	Find dx/dy	e^y-xy=e	$e^{y} - x y = e$
34723	Simplify the Radical Expression	( square root of 4)/(5 square root of 3)	$\frac{\sqrt{4}}{5 \sqrt{3}}$
34724	Evaluate	2/3(-2)^3+1/3(-2)	$\frac{2}{3} {(- 2)}^{3} + \frac{1}{3} (- 2)$
34725	Evaluate	1/(-(2 square root of 2)/3)	$\frac{1}{- \frac{2 \sqrt{2}}{3}}$
34726	Find All Complex Solutions	4+ square root of x-2=x	$4 + \sqrt{x - 2} = x$
34727	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+25x^2+20x+4 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 25 x^{2} + 20 x + 4$ is divided by $3 x + 2$
34728	Solve for p	p/1 6/7=-4.4	$\frac{p}{1 \frac{6}{7}} = - 4.4$
34729	Simplify	x/(x^2-36)+4/x	$\frac{x}{x^{2} - 36} + \frac{4}{x}$
34730	Solve for x	x^2+(x+1)^2+(x+2)^2=1454	$x^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454$
34731	Divide	(-7/12)÷(14/15)	$- \frac{7}{12} \div \frac{14}{15}$
34732	Find the Maximum/Minimum Value	f(x)=-x^3+3x^2-3x	$f (x) = - x^{3} + 3 x^{2} - 3 x$
34733	Solve for x	-2 cube root of 16x-3 cube root of 54x=39	$- 2 \sqrt[3]{16 x} - 3 \sqrt[3]{54 x} = 39$
34734	Solve the Inequality for x	1/6x>=-5/6x+2/3	$\frac{1}{6} x \geq - \frac{5}{6} x + \frac{2}{3}$
34735	Simplify	(3(5-x))/(3x(x-5))	$\frac{3 (5 - x)}{3 x (x - 5)}$
34736	Solve the Inequality for p	-15p<=-90	$- 15 p \leq - 90$
34737	Find the Domain	f(x)=(1+ square root of 1-x)/( square root of 4x-2x^2)	$f (x) = \frac{1 + \sqrt{1 - x}}{\sqrt{4 x - 2 x^{2}}}$
34738	Determine if (3,-1) is a Solution	x-3y>6 , (3,-1)	$x - 3 y > 6$ , $(3, - 1)$
34739	Find the Antiderivative	f(x)=(e^x)/x	$f (x) = \frac{e^{x}}{x}$
34740	Simplify	( square root of 5)	$(\sqrt{5})$
34741	Find the x and y Intercepts	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
34742	Solve for x	natural log of 3x+2=3x	$\ln (3 x + 2) = 3 x$
34743	Find the Domain and Range	f(x) = cube root of -4x	$f (x) = \sqrt[3]{- 4 x}$
34744	Find the Equation Using Point-Slope Formula	(-4,4) y=-7/4x+2	$(- 4, 4)$ $y = - \frac{7}{4} x + 2$
34745	Find the LCD	5/(4x) and 6/(3x+5)	$\frac{5}{4 x}$ and $\frac{6}{3 x + 5}$
34746	Write in Standard Form	(y^8)(-2y^2)	$(y^{8}) (- 2 y^{2})$
34747	Find Amplitude, Period, and Phase Shift	y=cos(2(theta-pi))	$y = \cos (2 (θ - π))$
34748	Write in Standard Form	x(x+4)(x-3)	$x (x + 4) (x - 3)$
34749	Graph	f(x)=(x^2+x)/(-5x-5)	$f (x) = \frac{x^{2} + x}{- 5 x - 5}$
34750	Simplify	- square root of 2( square root of 10-4 square root of 6)	$- \sqrt{2 (\sqrt{10 - 4 \sqrt{6}})}$
34751	Solve for x	2/3(x-3)-1/7(x+1)=1	$\frac{2}{3} (x - 3) - \frac{1}{7} (x + 1) = 1$
34752	Evaluate the Integral	pi integral from 0 to 1 of [(x^4)^2-(x^7)^2] with respect to x	$π \int_{0}^{1} [{(x^{4})}^{2} - {(x^{7})}^{2}] d x$
34753	Multiply	4 square root of 7*3 square root of 2	$4 \sqrt{7} \cdot 3 \sqrt{2}$
34754	Simplify	((7b^3c^4n)/(3bc^5n))^-3	${(\frac{7 b^{3} c^{4} n}{3 b c^{5} n})}^{- 3}$
34755	Evaluate	1/(sin(40))	$\frac{1}{\sin (40)}$
34756	Write the Fraction in Simplest Form	(5a^4)/(-2(a^4m^-4)^-1)	$\frac{5 a^{4}}{- 2 {(a^{4} m^{- 4})}^{- 1}}$
34757	Evaluate	5-3^x=-40	$5 - 3^{x} = - 40$
34758	Simplify	5p+7y+2t-3p+4y	$5 p + 7 y + 2 t - 3 p + 4 y$
34759	Evaluate	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
34760	Solve for a	4x=(a+b)/(8c)	$4 x = \frac{a + b}{8 c}$
34761	Find the Holes in the Graph	f(x)=(x^3-7x^2-x+7)/(x-7)	$f (x) = \frac{x^{3} - 7 x^{2} - x + 7}{x - 7}$
34762	Find the Second Derivative	-1/10x^5-2x^4-12x^3	$- \frac{1}{10} x^{5} - 2 x^{4} - 12 x^{3}$
34763	Solve the System of Inequalities	r/5>-3 OR 4r<-100	$\frac{r}{5} > - 3$ OR $4 r < - 100$
34764	Solve for x	(x^2+3x+3)^(4/3)=1	${(x^{2} + 3 x + 3)}^{\frac{4}{3}} = 1$
34765	Graph	f(x)=(x-3)/(3x-9)	$f (x) = \frac{x - 3}{3 x - 9}$
34766	Find the Derivative - d/dx	y=xe^(x^3)	$y = x e^{x^{3}}$
34767	Solve the Inequality for b	18<-3b	$18 < - 3 b$
34768	Simplify	7^0+8(3)^0	$7^{0} + 8 {(3)}^{0}$
34769	Evaluate	(-4)(-4)(-4)yy	$(- 4) \cdot (- 4) \cdot (- 4) \cdot y \cdot y$
34770	Evaluate	(pi*4^2)/2	$\frac{π \cdot 4^{2}}{2}$
34771	Solve for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
34772	Find the Antiderivative	f(x)=1/(cos(x)^2)-1/(sin(x)^2)	$f (x) = \frac{1}{\cos^{2} (x)} - \frac{1}{\sin^{2} (x)}$
34773	Find All Complex Solutions	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
34774	Simplify	(a+b)(a^3-a^2b+ab^2-b^3)	$(a + b) (a^{3} - a^{2} b + a b^{2} - b^{3})$
34775	Find the GCF	15 and 64	$15$ and $64$
34776	Solve for r	2+r=7+6r	$2 + r = 7 + 6 r$
34777	Simplify the Radical Expression	-5 cube root of 14p*-4 cube root of 4p^3	$- 5 \sqrt[3]{14 p} \cdot - 4 \sqrt[3]{4 p^{3}}$
34778	Simplify	6/(10p)*2/6	$\frac{6}{10 p} \cdot \frac{2}{6}$
34779	Solve by Graphing	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
34780	Combine Like Terms	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
34781	Solve for x	0=3x^2	$0 = 3 x^{2}$
34782	Find the Roots (Zeros)	y^3-27=9y^2-27y	$y^{3} - 27 = 9 y^{2} - 27 y$
34783	Simplify	12(4/6p)	$12 (\frac{4}{6} p)$
34784	Simplify	cube root of (625x^6y^4)/(5xy)	$\sqrt[3]{\frac{625 x^{6} y^{4}}{5 x y}}$
34785	Divide	(4 square root of 3)÷3 square root of 3	$4 \sqrt{3} \div 3 \sqrt{3}$
34786	Graph	1/2x+6>2y 1/3y<2/3x	$\frac{1}{2} x + 6 > 2 y$ $\frac{1}{3} y < \frac{2}{3} x$
34787	Solve for v	-8/(2v+6)+2=-4/(v+3)	$- \frac{8}{2 v + 6} + 2 = - \frac{4}{v + 3}$
34788	Solve the Inequality for x	8x>x+2	$8 x > x + 2$
34789	Solve the Rational Equation for x	(2x+6)/(x-5)=(x+3)/(x-1)	$\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}$
34790	Solve for x	1/2(x-6)+1=2(x-10)-3	$\frac{1}{2} (x - 6) + 1 = 2 (x - 10) - 3$
34791	Convert to Interval Notation	x<5 and x>-5	$x < 5$ and $x > - 5$
34792	Simplify	( square root of ab-a)/( square root of b- square root of a)	$\frac{\sqrt{a b} - a}{\sqrt{b} - \sqrt{a}}$
34793	Evaluate the Integral	integral of 3sec(2x) with respect to x	$\int 3 \sec (2 x) d x$
34794	Solve for x	x^2-4x-5<=0	$x^{2} - 4 x - 5 \leq 0$
34795	Simplify	(-3y^5)(-2y^2)(-4y)y^2	$(- 3 y^{5}) (- 2 y^{2}) (- 4 y) y^{2}$
34796	Simplify	((x^2y^2)/m)÷((((x^2m^2)/y)÷((y^2m^2)/x*(xm)/(y^2)))÷(((xy)/(m^2))÷((ym)/(x^2))))	$\frac{x^{2} y^{2}}{m} \div ((\frac{x^{2} m^{2}}{y} \div (\frac{y^{2} m^{2}}{x} \cdot \frac{x m}{y^{2}})) \div (\frac{x y}{m^{2}} \div \frac{y m}{x^{2}}))$
34797	Solve for r	r = square root of A/pi	$r = \sqrt{\frac{A}{π}}$
34798	Find the Exact Value	log base 4 of 64+ log base 2 of 32- log base 3 of 27	$\log_{4} (64) + \log_{2} (32) - \log_{3} (27)$
34799	Write in Standard Form	2x^2+3/4x=15/2	$2 x^{2} + \frac{3}{4} x = \frac{15}{2}$
34800	Solve the Matrix Equation	[[12,6],[2y-1,-1.5]]=[[12,6],[-8,-1.5]]	$[\begin{array}{c} 12 & 6 \\ 2 y - 1 & - 1.5 \end{array}] = [\begin{array}{c} 12 & 6 \\ - 8 & - 1.5 \end{array}]$