Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
169701	Divide	(9x^4+3x^3y-5x^2y^2+xy^3)÷(3x^3+2x^2y-xy^2)	$(9 x^{4} + 3 x^{3} y - 5 x^{2} y^{2} + x y^{3}) \div (3 x^{3} + 2 x^{2} y - x y^{2})$
169702	Simplify	(-r^2+3r-7)(r^2-7)	$(- r^{2} + 3 r - 7) (r^{2} - 7)$
169703	Simplify	(x^3+2x^2-9x-18)/(x^3-x^2-6x)	$\frac{x^{3} + 2 x^{2} - 9 x - 18}{x^{3} - x^{2} - 6 x}$
169704	Find the Domain and Range	m(x)=\|x+1\|	$m (x) = \| x + 1 \|$
169705	Evaluate	7 natural log of e^3- natural log of e^8	$7 \ln (e^{3}) - \ln (e^{8})$
169706	Write in Standard Form	(5n-5)(2+2n)	$(5 n - 5) (2 + 2 n)$
169707	Simplify	a^2+3a^(-1/5)	$a^{2} + 3 a^{- \frac{1}{5}}$
169708	Evaluate	6+1*(9-4)+6	$6 + 1 \cdot (9 - 4) + 6$
169709	Solve the Inequality for x	1/(x^2-x)<=1/6	$\frac{1}{x^{2} - x} \leq \frac{1}{6}$
169710	Solve for c	1/5c+2/3=7/8	$\frac{1}{5} c + \frac{2}{3} = \frac{7}{8}$
169711	Factor	2(x+y)^2+(x+y)-6	$2 {(x + y)}^{2} + (x + y) - 6$
169712	Write in Standard Form	(6x+1)(1-3x)	$(6 x + 1) (1 - 3 x)$
169713	Simplify	-4/(3 square root of 2)	$\frac{- 4}{3 \sqrt{2}}$
169714	Find the Exact Value	cos(2/3pi)	$\cos (\frac{2}{3} π)$
169715	Graph	y<=5x and y>2x+3	$y \leq 5 x$ and $y > 2 x + 3$
169716	Solve for z	-1/2=-1/6+1/9z	$- \frac{1}{2} = - \frac{1}{6} + \frac{1}{9} z$
169717	Solve the System of Equations	y=x^2-2x-3 y=x-3	$y = x^{2} - 2 x - 3$ $y = x - 3$
169718	Solve for u	-1/5u+2-u=1/2u+3+4/5u	$- \frac{1}{5} u + 2 - u = \frac{1}{2} u + 3 + \frac{4}{5} u$
169719	Solve for u	square root of u=8	$\sqrt{u} = 8$
169720	Solve for v	1/2-3/10v+2=1/5v+3/2	$\frac{1}{2} - \frac{3}{10} v + 2 = \frac{1}{5} v + \frac{3}{2}$
169721	Solve for y	10=\|y-9\|	$10 = \| y - 9 \|$
169722	Simplify	(9k^2-33k+10)/(18k^3-200k)	$\frac{9 k^{2} - 33 k + 10}{18 k^{3} - 200 k}$
169723	Simplify	(x^7x^-3y)/(y^-2)	$\frac{x^{7} x^{- 3} y}{y^{- 2}}$
169724	Simplify	(c^2-0.7c^3)^2	${(c^{2} - 0.7 c^{3})}^{2}$
169725	Solve for x₂	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
169726	Find the x and y Intercepts	f(x)=(5x^2-45x+100)/(-4x^2+20x)	$f (x) = \frac{5 x^{2} - 45 x + 100}{- 4 x^{2} + 20 x}$
169727	Factor	a(a+1)-b(a+1)-a-1	$a (a + 1) - b (a + 1) - a - 1$
169728	Solve for g	-1/2g+1/4-2g=-2-5/8g+1	$- \frac{1}{2} g + \frac{1}{4} - 2 g = - 2 - \frac{5}{8} g + 1$
169729	Solve for v	5+\|3v\|>20	$5 + \| 3 v \| > 20$
169730	Simplify	( square root of 2x^2)÷( square root of 5x)	$\sqrt{2 x^{2}} \div \sqrt{5 x}$
169731	Solve for x	6e^x-4e^(-x)=5	$6 e^{x} - 4 e^{- x} = 5$
169732	Solve for c	-1/4c+1/7=3/7	$- \frac{1}{4} c + \frac{1}{7} = \frac{3}{7}$
169733	Solve for x	1/2-2/3x=1/4	$\frac{1}{2} - \frac{2}{3} x = \frac{1}{4}$
169734	Evaluate Using the Given Value	rs+14s when r=6 and s=1/4	$r s + 14 s$ when $r = 6$ and $s = \frac{1}{4}$
169735	Solve for y	y = square root of -9-2	$y = \sqrt{- 9} - 2$
169736	Solve for θ	sin(theta)^2-cos(theta)^2=1+cos(theta)	$\sin^{2} (θ) - \cos^{2} (θ) = 1 + \cos (θ)$
169737	Find the Holes in the Graph	((x-1)(x-3)^2(x+1)^2)/((x-2)(x+2)(x-1)(x+3))	$\frac{(x - 1) {(x - 3)}^{2} {(x + 1)}^{2}}{(x - 2) (x + 2) (x - 1) (x + 3)}$
169738	Graph	y=5/2cos(x-pi/3)	$y = \frac{5}{2} \cos (x - \frac{π}{3})$
169739	Factor	xy^2+x-y^2z-z	$x y^{2} + x - y^{2} z - z$
169740	Find the End Behavior	f(x)=0.4(2x-9)(3x+1)(x-7)(x+9)	$f (x) = 0.4 (2 x - 9) (3 x + 1) (x - 7) (x + 9)$
169741	Solve for x	\|2x-1\|=4x	$\| 2 x - 1 \| = 4 x$
169742	Evaluate	square root of x* square root of x	$\sqrt{x} \cdot \sqrt{x}$
169743	Solve for q	7-8q=q+34	$7 - 8 q = q + 34$
169744	Simplify the Radical Expression	square root of 9	$\sqrt{9}$
169745	Factor	m^2-x^2-y^2+2xy	$m^{2} - x^{2} - y^{2} + 2 x y$
169746	Divide	((x+8)/(6x+60))÷((x^2-64)/(x^2+2x-80))	$\frac{x + 8}{6 x + 60} \div \frac{x^{2} - 64}{x^{2} + 2 x - 80}$
169747	Evaluate	F(x+3)	$F (x + 3)$
169748	Evaluate	f(-2)=4^-2	$f (- 2) = 4^{- 2}$
169749	Solve the System of Equations	y=x+5 y=-2x-1	$y = x + 5$ $y = - 2 x - 1$
169750	Divide	3/4*1/6	$\frac{3}{4} \cdot \frac{1}{6}$
169751	Solve the Inequality for y	3y+2>=5y+8	$3 y + 2 \geq 5 y + 8$
169752	Combine Like Terms	-y^3+4+y^3+7x^2+3-5y^3+3	$- y^{3} + 4 + y^{3} + 7 x^{2} + 3 - 5 y^{3} + 3$
169753	Solve for θ	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
169754	Multiply	(-x)^2	${(- x)}^{2}$
169755	Solve the Inequality for x	-6(1+2x)>=6(2x-1)+2x	$- 6 (1 + 2 x) \geq 6 (2 x - 1) + 2 x$
169756	Simplify	sin(theta)(cos(theta)-sin(theta))	$\sin (θ) (\cos (θ) - \sin (θ))$
169757	Solve the Rational Equation for x	(4x-6)/(2x-3)=7/(x+1)	$\frac{4 x - 6}{2 x - 3} = \frac{7}{x + 1}$
169758	Solve for x	\|x+2\|+\|x-5\|+\|x-1\|=12	$\| x + 2 \| + \| x - 5 \| + \| x - 1 \| = 12$
169759	Solve for w	-12w=5	$- 12 w = 5$
169760	Simplify	(x^-7y^4)/(x^7y^4)	$\frac{x^{- 7} y^{4}}{x^{7} y^{4}}$
169761	Graph	x-y=3 7x-y=-3	$x - y = 3$ $7 x - y = - 3$
169762	Simplify	(5x^3+7x-8)+(2x^3-5x^2-x+3)	$(5 x^{3} + 7 x - 8) + (2 x^{3} - 5 x^{2} - x + 3)$
169763	Find the Quotient	(x^5+x^3-x)÷(x-2)	$(x^{5} + x^{3} - x) \div (x - 2)$
169764	Solve for x	-10x+3(8+8x)=-6(x-4)	$- 10 x + 3 (8 + 8 x) = - 6 (x - 4)$
169765	Solve for v	(v-10)/(v^2-5v+4)=3/(v-1)-6/(v-4)	$\frac{v - 10}{v^{2} - 5 v + 4} = \frac{3}{v - 1} - \frac{6}{v - 4}$
169766	Find the x and y Intercepts	f(x)=(x+5)/(2x-1)	$f (x) = \frac{x + 5}{2 x - 1}$
169767	Graph	y<1/4x	$y < \frac{1}{4} x$
169768	Simplify	10/(10^(3/4))	$\frac{10}{10^{\frac{3}{4}}}$
169769	Combine Like Terms	7x^3+6+1-4-x+x^3+3x	$7 x^{3} + 6 + 1 - 4 - x + x^{3} + 3 x$
169770	Factor	x^2-bx-a(a+b)	$x^{2} - b x - a (a + b)$
169771	Solve for x	6x-13+4x-7=-x+10+30	$6 x - 13 + 4 x - 7 = - x + 10 + 30$
169772	Solve the Inequality for x	x^2-25>=0	$x^{2} - 25 \geq 0$
169773	Evaluate	pi-2pi	$π - 2 π$
169774	Find the x and y Intercepts	h(x)=81-3^(x+1)	$h (x) = 81 - 3^{x + 1}$
169775	Evaluate	(x+2)^4	${(x + 2)}^{4}$
169776	Find the Product	(x-y)(x+y)	$(x - y) (x + y)$
169777	Rationalize the Denominator	4/(1- square root of 5)	$\frac{4}{1 - \sqrt{5}}$
169778	Simplify	(x^4-2x^3+x^2)/(14x^4-8x^3-6x^2)	$\frac{x^{4} - 2 x^{3} + x^{2}}{14 x^{4} - 8 x^{3} - 6 x^{2}}$
169779	Solve for u	2u-2/3=-3/4u+3	$2 u - \frac{2}{3} = - \frac{3}{4} u + 3$
169780	Simplify	(1/2x^4)(16x^5)	$(\frac{1}{2} x^{4}) (16 x^{5})$
169781	Solve for a	10=\|a+10\|	$10 = \| a + 10 \|$
169782	Combine Like Terms	7-7+5x-5x+2+2x^2+2x	$7 - 7 + 5 x - 5 x + 2 + 2 x^{2} + 2 x$
169783	Solve for x	x/(x+4)+(x-1)/(x+2)=3/(x^2+2x-8)	$\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^{2} + 2 x - 8}$
169784	Solve for θ	2cos(theta)+3=2	$2 \cos (θ) + 3 = 2$
169785	Solve the Inequality for x	5x-1<7x+9	$5 x - 1 < 7 x + 9$
169786	Write in Exponential Form	log base (x+3) of x+6=2	$\log_{(x + 3)} (x + 6) = 2$
169787	Solve for a	-2=15a	$- 2 = 15 a$
169788	Simplify	(7b-1)/(b^2+b-2)-6/(b-1)	$\frac{7 b - 1}{b^{2} + b - 2} - \frac{6}{b - 1}$
169789	Solve for a	1/3(21-3a)=6-a	$\frac{1}{3} (21 - 3 a) = 6 - a$
169790	Find the Domain and Range	y=4-x	$y = 4 - x$
169791	Solve for b	P=a+b+c for b	$P = a + b + c$ for $b$
169792	Find the x and y Intercepts	y-6=2(3x-4)	$y - 6 = 2 (3 x - 4)$
169793	Graph	f(x)=5x(2x-5)^2	$f (x) = 5 x {(2 x - 5)}^{2}$
169794	Solve the Inequality for x	x-5<-2	$x - 5 < - 2$
169795	Graph Using a Table of Values	x=4	$x = 4$
169796	Solve for h	-2(3h-1)=5(2h-3)	$- 2 (3 h - 1) = 5 (2 h - 3)$
169797	Solve for n	(2n-3)/5=5	$\frac{2 n - 3}{5} = 5$
169798	Solve for x	(2x-20)/3=2x	$\frac{2 x - 20}{3} = 2 x$
169799	Solve the Absolute Value Inequality for n	-5\|4+n\|<-15	$- 5 \| 4 + n \| < - 15$
169800	Solve for y	39=\|y+12\|	$39 = \| y + 12 \|$