Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13701	Find the Holes in the Graph	(4x^2-100)/(2x^2-7x-15)	$\frac{4 x^{2} - 100}{2 x^{2} - 7 x - 15}$
13702	Add	Add: 10/(x^2+3x)+15/(x^2)	Add: $\frac{10}{x^{2} + 3 x} + \frac{15}{x^{2}}$
13703	Find the Slope	(-3,3) and (-9,5)	$(- 3, 3)$ and $(- 9, 5)$
13704	Simplify	(mx+my)/(5n)*(10m)/(ny+nx)	$\frac{(m x + m y)}{5 n} \cdot \frac{10 m}{n y + n x}$
13705	Find the Derivative - d/dx	y=1/(e^(3x))	$y = \frac{1}{e^{3 x}}$
13706	Simplify	(20x^3y^8)/(-5x^3y)	$\frac{20 x^{3} y^{8}}{- 5 x^{3} y}$
13707	Simplify	(24w^4+14w^3-4w^2+10w)/(2w)	$\frac{24 w^{4} + 14 w^{3} - 4 w^{2} + 10 w}{2 w}$
13708	Simplify	(5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)	$(5 x^{4} - 2 x^{2}) - (3 x - 2 x^{2} - 4 x^{3} + 6 x^{4})$
13709	Evaluate	(2^3a^-3)/(8^-1b^-5c^0)	$\frac{2^{3} a^{- 3}}{8^{- 1} b^{- 5} c^{0}}$
13710	Find the Exact Value	( square root of 64+ square root of 16)+(8^2-6)(-4)(2)	$(\sqrt{64} + \sqrt{16}) + (8^{2} - 6) (- 4) (2)$
13711	Solve for x	(x+5)/(x+4)-2/(4-x)=2/(x-4)	$\frac{x + 5}{x + 4} - \frac{2}{4 - x} = \frac{2}{x - 4}$
13712	Solve for n	-6+5n=2n+n	$- 6 + 5 n = 2 n + n$
13713	Solve the Inequality for h	24<=h+15	$24 \leq h + 15$
13714	Simplify	6r^2s+11rs^2+3r^2s-7rs^2+15r^2s-9rs^2	$6 r^{2} s + 11 r s^{2} + 3 r^{2} s - 7 r s^{2} + 15 r^{2} s - 9 r s^{2}$
13715	Find the Derivative - d/dx	e^(2x)-x	$e^{2 x} - x$
13716	Graph	y>-7 y>9/2x+2	$y > - 7$ $y > \frac{9}{2} x + 2$
13717	Convert to a Decimal	sin(0)deg	$\sin (0)$ degrees
13718	Find the Roots (Zeros)	x^2+2x=-5	$x^{2} + 2 x = - 5$
13719	Solve for d	30=d^2	$30 = d^{2}$
13720	Graph	y<x/3+2 y<-2x+1	$y < \frac{x}{3} + 2$ $y < - 2 x + 1$
13721	Simplify	2 cube root of 9*5 cube root of -24	$2 \sqrt[3]{9} \cdot 5 \sqrt[3]{- 24}$
13722	Write in Standard Form	x(2x-5)	$x (2 x - 5)$
13723	Simplify	5^-1*5	$5^{- 1} \cdot 5$
13724	Simplify	(10 root of 4)/( fifth root of 4)	$\frac{\sqrt[10]{4}}{\sqrt[5]{4}}$
13725	Solve for x	-1.6(10x+6)=9.1x+5.6(4x+1)	$- 1.6 (10 x + 6) = 9.1 x + 5.6 (4 x + 1)$
13726	Solve for y	4(8y-8)+3(8y+64)=25(3y+8)-69y	$4 (8 y - 8) + 3 (8 y + 64) = 25 (3 y + 8) - 69 y$
13727	Evaluate the Integral	integral from 2 to 5 of (3f(x)+2) with respect to x	$\int_{2}^{5} (3 f (x) + 2) d x$
13728	Simplify	x/((2yx^4)^3)	$\frac{x}{{(2 y x^{4})}^{3}}$
13729	Write in Standard Form	x^2+y^2-8x+7=0	$x^{2} + y^{2} - 8 x + 7 = 0$
13730	Solve the System of Equations	x^2+y^2=16 , x^2-y^2=20	$x^{2} + y^{2} = 16$ , $x^{2} - y^{2} = 20$
13731	Simplify	(x^2+x)^2+x^2+x	${(x^{2} + x)}^{2} + x^{2} + x$
13732	Divide	(16 cube root of 24)/(2 cube root of 3)	$\frac{16 \sqrt[3]{24}}{2 \sqrt[3]{3}}$
13733	Solve for x	cube root of x-1=0	$\sqrt[3]{x - 1} = 0$
13734	Evaluate	(x-y)(x-y)	$(x - y) (x - y)$
13735	Evaluate the Limit	limit as x approaches 9 of (x+ square root of x-12)/(x-9)	$lim_{x \to 9} \frac{x + \sqrt{x} - 12}{x - 9}$
13736	Simplify	cube root of x^2y^3	$\sqrt[3]{x^{2} y^{3}}$
13737	Solve for c	(3c-21)^(1/2)=c-7	${(3 c - 21)}^{\frac{1}{2}} = c - 7$
13738	Find the Derivative - d/dh	V=pir^2h	$V = π r^{2} h$
13739	Solve for x	9-x/10=0	$9 - \frac{x}{10} = 0$
13740	Find the Antiderivative	2arctan(x)	$2 \arctan (x)$
13741	Simplify	(3x^3+3x^2+5)-(x^3-2x^2+x-4)	$(3 x^{3} + 3 x^{2} + 5) - (x^{3} - 2 x^{2} + x - 4)$
13742	Evaluate the Limit	limit as x approaches 4 of ((3x-4)/(x^2+3x-1))^(1/3)	$lim_{x \to 4} {(\frac{3 x - 4}{x^{2} + 3 x - 1})}^{\frac{1}{3}}$
13743	Simplify the Radical Expression	( square root of 75)÷( square root of 3)	$\sqrt{75} \div \sqrt{3}$
13744	Solve for x	x/(x+4)+5/(4-x)=1/(x-4)	$\frac{x}{x + 4} + \frac{5}{4 - x} = \frac{1}{x - 4}$
13745	Solve the Function Operation	f(x)=x-3 ; calcula (f(-6))/(f(6))	$f (x) = x - 3$ ; calcula $\frac{f (- 6)}{f (6)}$
13746	Solve the Rational Equation for x	5 = square root of x+3	$5 = \sqrt{x + 3}$
13747	Solve for k	-3(4x+3)+4(6x+1)=k	$- 3 (4 x + 3) + 4 (6 x + 1) = k$
13748	Solve the Inequality for b	b-3/4<1/2	$b - \frac{3}{4} < \frac{1}{2}$
13749	Simplify	(5+2i)^2+(2-i)^2	${(5 + 2 i)}^{2} + {(2 - i)}^{2}$
13750	Write the Fraction in Simplest Form	((3d^5x^-2)^-4)/(4d^-6x^10)	$\frac{{(3 d^{5} x^{- 2})}^{- 4}}{4 d^{- 6} x^{10}}$
13751	Find the Degree, Leading Term, and Leading Coefficient	1/2x^4-10	$\frac{1}{2} x^{4} - 10$
13752	Solve the Inequality for x	2x+y<8	$2 x + y < 8$
13753	Find the Product	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
13754	Solve for a	1/8(4+a)=-1	$\frac{1}{8} (4 + a) = - 1$
13755	Simplify	i^111-2i^49-i^118-8i^26	$i^{111} - 2 i^{49} - i^{118} - 8 i^{26}$
13756	Find the Excluded Values	(4x)/(x^2+8x+12)	$\frac{4 x}{x^{2} + 8 x + 12}$
13757	Evaluate	-cot(pi/6)	$- \cot (\frac{π}{6})$
13758	Evaluate the Integral	integral of ( natural log of 10x)/(x^5) with respect to x	$\int \frac{\ln (10 x)}{x^{5}} d x$
13759	Simplify the Radical Expression	(x^16y^8)^(3/8)	${(x^{16} y^{8})}^{\frac{3}{8}}$
13760	Evaluate the Limit	limit as x approaches -4 of (\|x+4\|)/(2x+8)	$lim_{x \to - 4} \frac{\| x + 4 \|}{2 x + 8}$
13761	Simplify the Radical Expression	3b^(1/2)*b^(4/3)	$3 b^{\frac{1}{2}} \cdot b^{\frac{4}{3}}$
13762	Solve for a	12 = square root of a+108	$12 = \sqrt{a + 108}$
13763	Evaluate	log base x of x+6=2	$\log_{x} (x + 6) = 2$
13764	Graph	x+y+2>=0	$x + y + 2 \geq 0$
13765	Find dy/dx	x^3y=-5-3x^2	$x^{3} y = - 5 - 3 x^{2}$
13766	Simplify	(3x^2y^2*4x^3y^3)÷(-2xy^4)	$(3 x^{2} y^{2} \cdot 4 x^{3} y^{3}) \div (- 2 x y^{4})$
13767	Write in Standard Form	y=(1+5x)^2	$y = {(1 + 5 x)}^{2}$
13768	Find the Roots (Zeros)	x^2+16=-12x	$x^{2} + 16 = - 12 x$
13769	Simplify	(a^5b)/(a^-2b)	$\frac{a^{5} b}{a^{- 2} b}$
13770	Solve for x	log base 25 of 4x+2- log base 25 of 2x-1=1/2	$\log_{25} (4 x + 2) - \log_{25} (2 x - 1) = \frac{1}{2}$
13771	Evaluate the Limit	limit as x approaches -2 of cube root of 2x^2+x+2	$lim_{x \to - 2} \sqrt[3]{2 x^{2} + x + 2}$
13772	Simplify	0.5y+10.5+6.5y-0.5-0.5y	$0.5 y + 10.5 + 6.5 y - 0.5 - 0.5 y$
13773	Convert from Degrees to Radians	-pi	$- π$
13774	Find the Product	(3-2x+5x^2)(4-x+2x^2)	$(3 - 2 x + 5 x^{2}) (4 - x + 2 x^{2})$
13775	Solve the Rational Equation for x	x^(2/3)=25	$x^{\frac{2}{3}} = 25$
13776	Solve for x	0=2x^2-6	$0 = 2 x^{2} - 6$
13777	Solve for a	-4a+9=-2(4+5a)-7	$- 4 a + 9 = - 2 (4 + 5 a) - 7$
13778	Simplify the Radical Expression	square root of (3x^2)/(7x^3)	$\sqrt{\frac{3 x^{2}}{7 x^{3}}}$
13779	Simplify the Radical Expression	fifth root of 3^4* fifth root of 3^6	$\sqrt[5]{3^{4}} \cdot \sqrt[5]{3^{6}}$
13780	Solve for x	2 log of x+1/2 log of 9 = log of 3x+4+ log of x-2	$2 \log (x) + \frac{1}{2} \log (9) = \log (3 x + 4) + \log (x - 2)$
13781	Solve for x	f(x-1)=2^(x-5)	$f (x - 1) = 2^{x - 5}$
13782	Simplify	(7x+9)/(9x-7)*(9x)/(9x-7)	$\frac{7 x + 9}{9 x - 7} \cdot \frac{9 x}{9 x - 7}$
13783	Solve the Inequality for b	3+b/9<4	$3 + \frac{b}{9} < 4$
13784	Add	Find the sum of 4x^2-4x+10 and 2x^2+5x-8	Find the sum of $4 x^{2} - 4 x + 10$ and $2 x^{2} + 5 x - 8$
13785	Simplify	(4x^3+3x^2-6x)-(10x^3+3x^2)	$(4 x^{3} + 3 x^{2} - 6 x) - (10 x^{3} + 3 x^{2})$
13786	Find dy/dx	y = square root of (4x^2)/(6+2x)	$y = \sqrt{\frac{4 x^{2}}{6 + 2 x}}$
13787	Find dy/dx	y^3+xy=-5+5x^3	$y^{3} + x y = - 5 + 5 x^{3}$
13788	Simplify	(-(x^7)/(z^5))^2	${(- \frac{x^{7}}{z^{5}})}^{2}$
13789	Find the Exact Value	sin((7pi)/6)-sin(pi/3)	$\sin (\frac{7 π}{6}) - \sin (\frac{π}{3})$
13790	Simplify	(x^4y^-8z^-2)/(x^-1y^6z^-10)	$\frac{x^{4} y^{- 8} z^{- 2}}{x^{- 1} y^{6} z^{- 10}}$
13791	Solve for n	0=18+128n^2	$0 = 18 + 128 n^{2}$
13792	Convert from Radians to Degrees	12rad	$12$ radians
13793	Simplify	2/24+1 7/5+1/6	$\frac{2}{24} + 1 \frac{7}{5} + \frac{1}{6}$
13794	Simplify	(-18v^3w)/(9v^3w^6)	$\frac{- 18 v^{3} w}{9 v^{3} w^{6}}$
13795	Find dy/dx	y^2=-x^3+y	$y^{2} = - x^{3} + y$
13796	Find the Domain	(x^2)/(x^2-16)+(8(x-2))/(16-x^2)	$\frac{x^{2}}{x^{2} - 16} + \frac{8 (x - 2)}{16 - x^{2}}$
13797	Solve for x	-8/x+5/7=4/(7x)	$\frac{- 8}{x} + \frac{5}{7} = \frac{4}{7 x}$
13798	Convert to a Decimal	-12pirad	$- 12 π$ radians
13799	Write the Fraction in Simplest Form	(2/5-(2/3+4/5)/(1+3/8))(-5 1/2+37/4)	$(\frac{2}{5} - \frac{\frac{2}{3} + \frac{4}{5}}{1 + \frac{3}{8}}) (- 5 \frac{1}{2} + \frac{37}{4})$
13800	Simplify	(c^-2)/(d^(-1/3))	$\frac{c^{- 2}}{d^{- \frac{1}{3}}}$