Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32701	Solve by Factoring	5/8e-2=4+1/4e-3/4e	$\frac{5}{8} e - 2 = 4 + \frac{1}{4} e - \frac{3}{4} e$
32702	Simplify	(1/(x-1))/(1+1/(x-1))	$\frac{\frac{1}{x - 1}}{1 + \frac{1}{x - 1}}$
32703	Solve the Inequality for x	-5<=3-2x<11	$- 5 \leq 3 - 2 x < 11$
32704	Evaluate	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$
32705	Simplify	((c^2-4c+4)/(12c^3+30c^2))÷((c^2-4)/(6c^4+15c^3))	$\frac{c^{2} - 4 c + 4}{12 c^{3} + 30 c^{2}} \div \frac{c^{2} - 4}{6 c^{4} + 15 c^{3}}$
32706	Solve for p	log base p of 4096=3	$\log_{p} (4096) = 3$
32707	Simplify	(7+3y)(3y-7)	$(7 + 3 y) (3 y - 7)$
32708	Find the Exact Value	sin(pi)-cos(pi)	$\sin (π) - \cos (π)$
32709	Evaluate the Limit	limit as x approaches 1 of (xe^x-e)/(x^2-1)	$lim_{x \to 1} \frac{x e^{x} - e}{x^{2} - 1}$
32710	Add	-1/2+1	$\frac{- 1}{2} + 1$
32711	Write with Rational (Fractional) Exponents	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
32712	Evaluate Using L'Hospital's Rule	limit as x approaches 0 from the right of cos(x)^(1/x)	$lim_{x \to 0^{+}} {\cos (x)}^{\frac{1}{x}}$
32713	Solve for x	1/(2x+1)=3x+4	$\frac{1}{2 x + 1} = 3 x + 4$
32714	Simplify	(-3e^(2/4))(f^(6/5))(-5^0)	$(- 3 e^{\frac{2}{4}}) (f^{\frac{6}{5}}) (- 5^{0})$
32715	Convert to a Decimal	-600deg	$- 600$ degrees
32716	Evaluate	(8÷(1/4))-8	$(8 \div \frac{1}{4}) - 8$
32717	Simplify	cube root of square root of 729/(x^6)	$\sqrt[3]{\sqrt{\frac{729}{x^{6}}}}$
32718	Solve the System of Equations	-4x-2y=30 and -x+y=6	$- 4 x - 2 y = 30$ and $- x + y = 6$
32719	Solve the System of Inequalities	y<3x+2 and 2y>=6x-4	$y < 3 x + 2$ and $2 y \geq 6 x - 4$
32720	Graph	y<=-7/8x-6 x<-8	$y \leq - \frac{7}{8} x - 6$ $x < - 8$
32721	Solve for n	10+n^3=-115	$10 + n^{3} = - 115$
32722	Evaluate	(arcsec(-1))*(arccos(-1))	$(arcsec (- 1)) \cdot (\arccos (- 1))$
32723	Simplify/Condense	1/3( log of x+ log of y)-4 log of z	$\frac{1}{3} (\log (x) + \log (y)) - 4 \log (z)$
32724	Evaluate the Integral	integral of x*e^(-x^2) with respect to x	$\int x \cdot e^{- x^{2}} d x$
32725	Find Amplitude, Period, and Phase Shift	y=cos(x-pi/3)+2	$y = \cos (x - \frac{π}{3}) + 2$
32726	Simplify the Radical Expression	3 square root of b^3	$3 \sqrt{b^{3}}$
32727	Simplify	3^-1*(3^0)^3	$3^{- 1} \cdot {(3^{0})}^{3}$
32728	Graph Using a Table of Values	y=1/2tan(2x)	$y = \frac{1}{2} \tan (2 x)$
32729	Subtract	-4b^2+6b-9-7b^2-2b-5	$- 4 b^{2} + 6 b - 9 - 7 b^{2} - 2 b - 5$
32730	Solve for A	A=(a+b)/2h	$A = \frac{(a + b)}{2} h$
32731	Solve by Factoring	k(k-4)=-3	$k (k - 4) = - 3$
32732	Divide Using Long Polynomial Division	6x^3+23x^2+15x+28 divided by 2x+7	$6 x^{3} + 23 x^{2} + 15 x + 28$ divided by $2 x + 7$
32733	Factor by Grouping	(x^2+6x)^2+(x^2+6x)-56	${(x^{2} + 6 x)}^{2} + (x^{2} + 6 x) - 56$
32734	Combine Like Terms	-17+2(6x-1)+5	$- 17 + 2 (6 x - 1) + 5$
32735	Convert to Radical Form	x^(4/2)	$x^{\frac{4}{2}}$
32736	Solve the Inequality for x	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
32737	Divide	(4x^3-3x^2)/(2x)	$\frac{4 x^{3} - 3 x^{2}}{2 x}$
32738	Evaluate	1/(1/18-1/21)	$\frac{1}{\frac{1}{18} - \frac{1}{21}}$
32739	Solve for x	g(x)=7x^2-567	$g (x) = 7 x^{2} - 567$
32740	Solve for x	e^(3-x)=(e^3)^(-x)	$e^{3 - x} = {(e^{3})}^{- x}$
32741	Solve the Inequality for x	2/3+x/3>1	$\frac{2}{3} + \frac{x}{3} > 1$
32742	Solve for v	10+v=17+10	$10 + v = 17 + 10$
32743	Multiply	-3v(-8u^2-8uv-7v^2)	$- 3 v (- 8 u^{2} - 8 u v - 7 v^{2})$
32744	Write in Standard Form	3/(2i-5)	$\frac{3}{2 i - 5}$
32745	Find the Inverse	f(x)=-(2x)/(x-1)	$f (x) = - \frac{2 x}{x - 1}$
32746	Solve for x	x^4=5x^3-7x^2	$x^{4} = 5 x^{3} - 7 x^{2}$
32747	Write the Fraction in Simplest Form	((2y^-5n^4)^-3)/(6y^7n^-5)	$\frac{{(2 y^{- 5} n^{4})}^{- 3}}{6 y^{7} n^{- 5}}$
32748	Simplify	square root of -64-4 cube root of -125+ square root of 8	$\sqrt{- 64} - 4 \sqrt[3]{- 125} + \sqrt{8}$
32749	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+9x^2+23x+21 is divided by 2x+3	Use the long division method to find the result when $2 x^{3} + 9 x^{2} + 23 x + 21$ is divided by $2 x + 3$
32750	Simplify	6*( square root of 3)/2	$6 \cdot \frac{\sqrt{3}}{2}$
32751	Solve for c	13^(c-8)-9=17	$13^{c - 8} - 9 = 17$
32752	Solve for x	(1/12)^(-2x)*12^(-2x+2)=12	${(\frac{1}{12})}^{- 2 x} \cdot 12^{- 2 x + 2} = 12$
32753	Solve for d	f=d/(e-d)	$f = \frac{d}{e - d}$
32754	Find the Distance Between Two Points	(-10,7) and (2,5)	$(- 10, 7)$ and $(2, 5)$
32755	Factor	x^4-25x^2+3x^3-75x+2x^2-50	$x^{4} - 25 x^{2} + 3 x^{3} - 75 x + 2 x^{2} - 50$
32756	Write in Slope-Intercept Form	x-y<=0	$x - y \leq 0$
32757	Solve for w	-4/(2w+12)+3=-2/(w+6)	$- \frac{4}{2 w + 12} + 3 = - \frac{2}{w + 6}$
32758	Find the Antiderivative	1+e^x	$1 + e^{x}$
32759	Simplify	(4x)(9x^(1/2))	$(4 x) (9 x^{\frac{1}{2}})$
32760	Graph	-y+x>-2	$- y + x > - 2$
32761	Solve Using the Quadratic Formula	f(x)=-3x^2+9x	$f (x) = - 3 x^{2} + 9 x$
32762	Add	(5x^3-9x^2+4)+(-11x^4-7x^3-6x)	$(5 x^{3} - 9 x^{2} + 4) + (- 11 x^{4} - 7 x^{3} - 6 x)$
32763	Solve by Factoring	x^2+24x+100=-46	$x^{2} + 24 x + 100 = - 46$
32764	Simplify	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(-4x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(- 4 x^{2})}^{0.01}$
32765	Find the Exact Value	tan(-630)	$\tan (- 630)$
32766	Find dy/dx	2x^3+y=-y^2	$2 x^{3} + y = - y^{2}$
32767	Simplify the Radical Expression	square root of (25x^9y^3)/(64x^6y^11)	$\sqrt{\frac{25 x^{9} y^{3}}{64 x^{6} y^{11}}}$
32768	Solve the Function Operation	Given that f(x)=x^2-13x+30 and g(x)=x-3 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 30$ and $g (x) = x - 3$ ; find $(f - g) (x)$ and express the result in standard form.
32769	Evaluate	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
32770	Simplify	x(x-x^2y)	$x (x - x^{2} y)$
32771	Convert to a Simplified Fraction	60% as a fraction	$60 %$ as a fraction
32772	Describe the Transformation	y=3(2^(x-1))+1	$y = 3 (2^{x - 1}) + 1$
32773	Solve for x	4(3x+6)=5(2+x)	$4 (3 x + 6) = 5 (2 + x)$
32774	Solve the Rational Equation for n	square root of 3n = square root of 4n-1	$\sqrt{3 n} = \sqrt{4 n - 1}$
32775	Simplify	(-k^-4m^7)(3k^5m^-1)(2k^-2m)	$(- k^{- 4} m^{7}) (3 k^{5} m^{- 1}) (2 k^{- 2} m)$
32776	Solve the System of Equations	-4x+8y=40 and -2x+y=-10	$- 4 x + 8 y = 40$ and $- 2 x + y = - 10$
32777	Multiply	2/373/2	$\frac{2}{3} \cdot 7 \cdot \frac{3}{2}$
32778	Find the Derivative - d/dx	-1/(2 square root of x^3)	$- \frac{1}{2 \sqrt{x^{3}}}$
32779	Find the Derivative - d/dx	If square root of x+ square root of y=3 ; then (dy)/(dx) is	If $\sqrt{x} + \sqrt{y} = 3$ ; then $\frac{d y}{d x}$ is
32780	Find the Exact Value	sin((7pi)/2)^2+3tan((7pi)/4)	$\sin^{2} (\frac{7 π}{2}) + 3 \tan (\frac{7 π}{4})$
32781	Solve the Function Operation	f(x)=(x^(1/3))/5+7 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{5} + 7$ ; find $f^{- 1} (x)$
32782	Integrate Using u-Substitution	integral of xe^(-x) with respect to x	$\int x e^{- x} d x$
32783	Solve for b	3/(b+2)=6/5	$\frac{3}{b + 2} = \frac{6}{5}$
32784	Solve by Addition/Elimination	-3x^2+2x-5=y -x+2=-y	$- 3 x^{2} + 2 x - 5 = y$ $- x + 2 = - y$
32785	Solve the Inequality for x	4(-6+3x)>4x+8	$4 (- 6 + 3 x) > 4 x + 8$
32786	Solve for x	\|2-3/x\|>=1	$\| 2 - \frac{3}{x} \| \geq 1$
32787	Evaluate	cube root of 80/( cube root of 10)	$\sqrt[3]{\frac{80}{\sqrt[3]{10}}}$
32788	Simplify the Radical Expression	b^4*b^(-1/4)	$b^{4} \cdot b^{- \frac{1}{4}}$
32789	Simplify	2y+3x-2(x-6y+4)	$2 y + 3 x - 2 (x - 6 y + 4)$
32790	Evaluate	25% of 300	$25 %$ of $300$
32791	Solve for x	10^(2x+7)>=1000^x	$10^{2 x + 7} \geq 1000^{x}$
32792	Solve the Inequality for x	3 square root of x<=12	$3 \sqrt{x} \leq 12$
32793	Add	2pi+pi	$2 π + π$
32794	Simplify	(2^53^4)/(2^73^2)	$\frac{2^{5} \cdot 3^{4}}{2^{7} \cdot 3^{2}}$
32795	Simplify	((x^2-16)/(x^3-6x^2+8x)*(2-x)/(x^2-100))÷((x^2+12x+32)/(x^2+18x+80))	$\frac{x^{2} - 16}{x^{3} - 6 x^{2} + 8 x} \cdot \frac{2 - x}{x^{2} - 100} \div \frac{x^{2} + 12 x + 32}{x^{2} + 18 x + 80}$
32796	Convert to a Decimal	-2rad	$- 2$ radians
32797	Find the Roots (Zeros)	F(x)=x^4-6x^3+8x^2-21	$F (x) = x^{4} - 6 x^{3} + 8 x^{2} - 21$
32798	Divide Using Long Polynomial Division	(y^4-3y^3+2y^2-20)÷(y^2+y-5)	$(y^{4} - 3 y^{3} + 2 y^{2} - 20) \div (y^{2} + y - 5)$
32799	Graph	Graph the line x=-5	Graph the line $x = - 5$
32800	Simplify	5x^2-(6x-4y)+9z	$5 x^{2} - (6 x - 4 y) + 9 z$