Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166701	Write in Standard Form	f(x)=-3x+5x^3-6x^2+2	$f (x) = - 3 x + 5 x^{3} - 6 x^{2} + 2$
166702	Find the Product	(3x+2y)^3	${(3 x + 2 y)}^{3}$
166703	Evaluate	log of a* log base a of 5	$\log (a) \cdot \log_{a} (5)$
166704	Simplify	(x^14y^3z^2)/(x^9y^4z^2)	$\frac{x^{14} y^{3} z^{2}}{x^{9} y^{4} z^{2}}$
166705	Solve for s	-10=-5/6s	$- 10 = - \frac{5}{6} s$
166706	Solve for b	15.4=-b/0.2+1.9	$15.4 = - \frac{b}{0.2} + 1.9$
166707	Graph	y>3x+2 and 2y>=6x-4	$y > 3 x + 2$ and $2 y \geq 6 x - 4$
166708	Simplify	(x^6)/(xy^-5y^3)	$\frac{x^{6}}{x y^{- 5} y^{3}}$
166709	Simplify	2(-3w+(-11))	$2 (- 3 w + (- 11))$
166710	Write as a Single Logarithm	1/3 log of x- log of 5	$\frac{1}{3} \log (x) - \log (5)$
166711	Multiply	(n-3ux)(n+3ux)	$(n - 3 u x) (n + 3 u x)$
166712	Solve for p	p/-8+9>13	$\frac{p}{- 8} + 9 > 13$
166713	Simplify	(x^2+2)/(2+x^2)	$\frac{x^{2} + 2}{2 + x^{2}}$
166714	Simplify	(4z^-4t^10)/((3z^3t^-4)^2)	$\frac{4 z^{- 4} t^{10}}{{(3 z^{3} t^{- 4})}^{2}}$
166715	Solve the Inequality for x	1/(2x)-7/(5x)<3	$\frac{1}{2 x} - \frac{7}{5 x} < 3$
166716	Simplify	((x^3y^-3)/(x^2y))^-3	${(\frac{x^{3} y^{- 3}}{x^{2} y})}^{- 3}$
166717	Solve for w	9/4w=3/8w-2+5/2w	$\frac{9}{4} w = \frac{3}{8} w - 2 + \frac{5}{2} w$
166718	Graph	y=(x^2-4)/(x-2)	$y = \frac{x^{2} - 4}{x - 2}$
166719	Graph	7<=y-3x<11	$7 \leq y - 3 x < 11$
166720	Solve the Inequality for x	56-10x>=20+8x	$56 - 10 x \geq 20 + 8 x$
166721	Evaluate	-2/5-4/5+(-9/10)	$- \frac{2}{5} - \frac{4}{5} + (- \frac{9}{10})$
166722	Solve for x	80=1.25(1/2)^(-2x-5)	$80 = 1.25 {(\frac{1}{2})}^{- 2 x - 5}$
166723	Simplify	(f(2+h)-f(2))/h	$\frac{f (2 + h) - f (2)}{h}$
166724	Solve for x	-2(3x+4)=-4(x-2)-2x	$- 2 (3 x + 4) = - 4 (x - 2) - 2 x$
166725	Graph	y=1/2cos(x-pi/3)	$y = \frac{1}{2} \cos (x - \frac{π}{3})$
166726	Solve the System of Equations	y=-1/2x-1 y=1/4x-4	$y = - \frac{1}{2} x - 1$ $y = \frac{1}{4} x - 4$
166727	Simplify the Radical Expression	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
166728	Solve the System of Equations	y+12=x^2+x x+y=3	$y + 12 = x^{2} + x$ $x + y = 3$
166729	Solve for y	2y-18x=-26 for y	$2 y - 18 x = - 26$ for $y$
166730	Multiply	x*3x^2	$x \cdot 3 x^{2}$
166731	Find the Domain and Range	y=x^(1/3)	$y = x^{\frac{1}{3}}$
166732	Graph	y=-1/2 cube root of x	$y = - \frac{1}{2} \sqrt[3]{x}$
166733	Solve Using the Quadratic Formula	3x^2-7x=x^2-14x-4	$3 x^{2} - 7 x = x^{2} - 14 x - 4$
166734	Find the Exact Value	(4/25)^(-1/2)	${(\frac{4}{25})}^{- \frac{1}{2}}$
166735	Factor by Grouping	x^6-y^6	$x^{6} - y^{6}$
166736	Solve the Inequality for x	4x^2-16>=0	$4 x^{2} - 16 \geq 0$
166737	Solve for F	square root of gF+H=u	$\sqrt{g F + H} = u$
166738	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x+5x^3-6x^2+2	$f (x) = - 3 x + 5 x^{3} - 6 x^{2} + 2$
166739	Solve for x	x/(2x+7)=(x-5)/(x-1)	$\frac{x}{2 x + 7} = \frac{x - 5}{x - 1}$
166740	Solve for x	5+\|6-5x\|=14	$5 + \| 6 - 5 x \| = 14$
166741	Simplify	(5 cube root of 3x^3)(3 cube root of 18x^3)	$(5 \sqrt[3]{3 x^{3}}) (3 \sqrt[3]{18 x^{3}})$
166742	Solve for x	x/(x-2)-3=6/(x-2)	$\frac{x}{x - 2} - 3 = \frac{6}{x - 2}$
166743	Simplify	( square root of 3+ square root of 48)( square root of 20- square root of 5)	$(\sqrt{3} + \sqrt{48}) (\sqrt{20} - \sqrt{5})$
166744	Simplify	(7x+2)/(x-8)+5x	$\frac{7 x + 2}{x - 8} + 5 x$
166745	Convert to Polar	x^2+y^2=1	$x^{2} + y^{2} = 1$
166746	Solve for a	1.3-a/0.4=2.8	$1.3 - \frac{a}{0.4} = 2.8$
166747	Solve the Rational Equation for k	1/(6k^2)=1/(3k^2)-1/k	$\frac{1}{6 k^{2}} = \frac{1}{3 k^{2}} - \frac{1}{k}$
166748	Find the LCD	4/(x^2+2x-15) and (7x)/(x^2+5x-24)	$\frac{4}{x^{2} + 2 x - 15}$ and $\frac{7 x}{x^{2} + 5 x - 24}$
166749	Solve for f	6\|-f+3\|+7>7	$6 \| - f + 3 \| + 7 > 7$
166750	Find the Holes in the Graph	y=(x^2-4)/(x^2-5x+6)	$y = \frac{x^{2} - 4}{x^{2} - 5 x + 6}$
166751	Graph	16(x-2)^2-9y^2-144=0	$16 {(x - 2)}^{2} - 9 y^{2} - 144 = 0$
166752	Simplify	(5+3i)-(5+3i)(5-5i)	$(5 + 3 i) - (5 + 3 i) (5 - 5 i)$
166753	Graph	y=pi	$y = π$
166754	Simplify	((x^4y^2)/(z^-4))^-3	${(\frac{x^{4} y^{2}}{z^{- 4}})}^{- 3}$
166755	Solve for m	3/5m-2-5/2m=-m-1+1/5m	$\frac{3}{5} m - 2 - \frac{5}{2} m = - m - 1 + \frac{1}{5} m$
166756	Graph	x^2-4x<=12	$x^{2} - 4 x \leq 12$
166757	Simplify	4n^5+3.5n^5+(-2.1n^5)	$4 n^{5} + 3.5 n^{5} + (- 2.1 n^{5})$
166758	Solve the System of Equations	x-(3x+4)/7=(y+2)/3 2y-(5x+4)/11=(x+24)/2	$x - \frac{3 x + 4}{7} = \frac{y + 2}{3}$ $2 y - \frac{5 x + 4}{11} = \frac{x + 24}{2}$
166759	Graph	f(x)=3x if x!=0; 4 if x=0	$f (x) = {\begin{cases} 3 x & x \neq 0 \\ 4 & x = 0 \end{cases}$
166760	Simplify	(4yz^2)/(3xy^4z)*(15x^2y)/(8x^3yz)	$\frac{4 y z^{2}}{3 x y^{4} z} \cdot \frac{15 x^{2} y}{8 x^{3} y z}$
166761	Solve the System of Inequalities	7v-5>=65 or -3v-2>=-2	$7 v - 5 \geq 65$ or $- 3 v - 2 \geq - 2$
166762	Solve for b	y=2x+b	$y = 2 x + b$
166763	Solve by Completing the Square	3+x=x^2+3x	$3 + x = x^{2} + 3 x$
166764	Simplify	(2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn)	$(2 m n - 5 m n^{2} + 8 m^{2} n) - (10 m n + 6 m^{2} n - 3 m n^{2} + m n)$
166765	Solve the Inequality for x	-4x<=12	$- 4 x \leq 12$
166766	Solve the Inequality for x	x^2-1>=1	$x^{2} - 1 \geq 1$
166767	Solve for x	10+\|7-5x\|=11	$10 + \| 7 - 5 x \| = 11$
166768	Solve for b	r=(b-a)m	$r = (b - a) m$
166769	Solve for x	(x+1)/5=x/3	$\frac{x + 1}{5} = \frac{x}{3}$
166770	Factor	-2c^4-2c^3+2c^2+2c	$- 2 c^{4} - 2 c^{3} + 2 c^{2} + 2 c$
166771	Rationalize the Denominator	1/( square root of 5* cube root of 5)	$\frac{1}{\sqrt{5} \cdot \sqrt[3]{5}}$
166772	Find the Domain and Range	f(x) = square root of x^2	$f (x) = \sqrt{x^{2}}$
166773	Factor	1/16-(4x^2)/49	$\frac{1}{16} - \frac{4 x^{2}}{49}$
166774	Multiply	2 square root of 2*2 square root of 2	$2 \sqrt{2} \cdot 2 \sqrt{2}$
166775	Solve for c	c/4=-9/8	$\frac{c}{4} = - \frac{9}{8}$
166776	Find the Inverse	f(x) = square root of (x+3)/7	$f (x) = \sqrt{\frac{x + 3}{7}}$
166777	Solve for x	x/3+x/6=7/2	$\frac{x}{3} + \frac{x}{6} = \frac{7}{2}$
166778	Solve for x	(3x+7)^(1/4)-3=1	${(3 x + 7)}^{\frac{1}{4}} - 3 = 1$
166779	Simplify	(6z^8)/(-2(z^-3)^5)	$\frac{6 z^{8}}{- 2 {(z^{- 3})}^{5}}$
166780	Solve for X	20^2+15^2=X^2	$20^{2} + 15^{2} = X^{2}$
166781	Solve for n	7m+2=6n-5	$7 m + 2 = 6 n - 5$
166782	Factor	x(b+2)-b-2+3(b+2)	$x (b + 2) - b - 2 + 3 (b + 2)$
166783	Find the Holes in the Graph	f(x)=(2x+8)/(3x+12)	$f (x) = \frac{2 x + 8}{3 x + 12}$
166784	Evaluate	pi/2+1	$\frac{π}{2} + 1$
166785	Find the Function	f(x)=x-6	$f (x) = x - 6$
166786	Simplify	(9v^4+2)+v^2(v^2w^2+2w^3-2v^2)-(-13v^2w^3+7v^4)	$(9 v^{4} + 2) + v^{2} (v^{2} w^{2} + 2 w^{3} - 2 v^{2}) - (- 13 v^{2} w^{3} + 7 v^{4})$
166787	Solve the Inequality for w	4(w-6)<=-12	$4 (w - 6) \leq - 12$
166788	Simplify	-6 square root of 7*4 square root of 5	$- 6 \sqrt{7} \cdot 4 \sqrt{5}$
166789	Evaluate	(5!)/((5-4)!4!)	$\frac{5!}{(5 - 4)! 4!}$
166790	Simplify	(x^-6x^5y^3)/(y^8)	$\frac{x^{- 6} x^{5} y^{3}}{y^{8}}$
166791	Solve for k	m=-8j-9k+9	$m = - 8 j - 9 k + 9$
166792	Simplify	(4(z)^2)/(-20z^-6)	$\frac{4 {(z)}^{2}}{- 20 z^{- 6}}$
166793	Find the Holes in the Graph	f(x)=(3x+12)/(-x^2+16)	$f (x) = \frac{3 x + 12}{- x^{2} + 16}$
166794	Solve for x	(2^(8-x))/(32^(x+12))=2^(3x-7)	$\frac{2^{8 - x}}{32^{x + 12}} = 2^{3 x - 7}$
166795	Find the Domain and Range	f(x)=(2(x+5))/(x+3)	$f (x) = \frac{2 (x + 5)}{(x + 3)}$
166796	Solve for x	4*8^x=11.48	$4 \cdot 8^{x} = 11.48$
166797	Combine Like Terms	-3y-5x^3+6+2-4y+5y+6x^3	$- 3 y - 5 x^{3} + 6 + 2 - 4 y + 5 y + 6 x^{3}$
166798	Solve for x	-(2x)/(x-7)+1=5/(x-7)	$- \frac{2 x}{x - 7} + 1 = \frac{5}{x - 7}$
166799	Find All Complex Solutions	3z+9+14z=4z+5	$3 z + 9 + 14 z = 4 z + 5$
166800	Find the Domain and Range	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$