Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224001	Factor by Grouping	8a^3-64b^6	$8 a^{3} - 64 b^{6}$
224002	Solve for x	x/4=(2x+3)/15	$\frac{x}{4} = \frac{2 x + 3}{15}$
224003	Solve for x	3(2x+1)-x=5x+3	$3 (2 x + 1) - x = 5 x + 3$
224004	Solve for m	7=5-1/3m	$7 = 5 - \frac{1}{3} m$
224005	Solve for x	(9-x)^(1/3)+12=15	${(9 - x)}^{\frac{1}{3}} + 12 = 15$
224006	Find the LCM	2 and 8	$2$ and $8$
224007	Evaluate	(4((3-5)^3-2(5/2)^2)+3(2/6))- square root of 4	$(4 ({(3 - 5)}^{3} - 2 {(\frac{5}{2})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
224008	Simplify the Radical Expression	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
224009	Solve for a	159=-3+2a^2	$159 = - 3 + 2 a^{2}$
224010	Solve for θ	( square root of 3tan(theta)-3)(8cos(x)+8)=0	$(\sqrt{3} \tan (θ) - 3) (8 \cos (x) + 8) = 0$
224011	Graph	f(x)=(3x^2-9x+6)/(5x-10)	$f (x) = \frac{3 x^{2} - 9 x + 6}{5 x - 10}$
224012	Find the Domain and Range	cube root of -5x	$\sqrt[3]{- 5 x}$
224013	Solve by Substitution	x-3y=7 and 3x-9y=21	$x - 3 y = 7$ and $3 x - 9 y = 21$
224014	Solve for x	5/6(x-4)=1/2(x-2)	$\frac{5}{6} (x - 4) = \frac{1}{2} (x - 2)$
224015	Evaluate the Function	f(x)=-x^3-4x-2 at x=-1	$f (x) = - x^{3} - 4 x - 2$ at $x = - 1$
224016	Solve for x	(x+3)/10+(x+4)/7=(2x+1)/70	$\frac{x + 3}{10} + \frac{x + 4}{7} = \frac{2 x + 1}{70}$
224017	Evaluate	8+(3^2*(25-5))÷4+3	$8 + 3^{2} \cdot (25 - 5) \div 4 + 3$
224018	Solve the Rational Equation for x	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
224019	Solve the Inequality for t	3>=t+1	$3 \geq t + 1$
224020	Solve for x	10 = square root of 2x^2+3	$10 = \sqrt{2 x^{2} + 3}$
224021	Evaluate	1/(2/pi)	$\frac{1}{\frac{2}{π}}$
224022	Simplify the Radical Expression	( fourth root of x^9)/( fourth root of x^2)	$\frac{\sqrt[4]{x^{9}}}{\sqrt[4]{x^{2}}}$
224023	Solve for n	16=(2n)^(1/2)+10	$16 = {(2 n)}^{\frac{1}{2}} + 10$
224024	Graph	f(x)=((x+4)^2(x-2))/(2(x-1)^2(x-3))	$f (x) = \frac{{(x + 4)}^{2} (x - 2)}{2 {(x - 1)}^{2} (x - 3)}$
224025	Find the Product	(3d+2)(d^2-1)	$(3 d + 2) (d^{2} - 1)$
224026	Simplify the Radical Expression	square root of 75+2 square root of 12-5 square root of 3	$\sqrt{75} + 2 \sqrt{12} - 5 \sqrt{3}$
224027	Solve for x	(1/5)^x=(1/5)^(3x)	${(\frac{1}{5})}^{x} = {(\frac{1}{5})}^{3 x}$
224028	Simplify the Radical Expression	(8x^3y^9)^(-2/3)	${(8 x^{3} y^{9})}^{- \frac{2}{3}}$
224029	Simplify	(2q^2)/( square root of 18q^6)	$\frac{2 q^{2}}{\sqrt{18 q^{6}}}$
224030	Solve the Inequality for x	x(x-5)^2(x+2)^2>0	$x {(x - 5)}^{2} {(x + 2)}^{2} > 0$
224031	Divide	(x^4+0x^3-10x^2-2x+3)/(x+3)	$\frac{x^{4} + 0 x^{3} - 10 x^{2} - 2 x + 3}{x + 3}$
224032	Solve the Inequality for x	3x^2+22x+11<4	$3 x^{2} + 22 x + 11 < 4$
224033	Simplify the Radical Expression	- square root of 81+ square root of -9+ square root of 144+ square root of -16	$- \sqrt{81} + \sqrt{- 9} + \sqrt{144} + \sqrt{- 16}$
224034	Solve for c	E=mc^2 for c	$E = m c^{2}$ for $c$
224035	Simplify	(-5)^0*x	${(- 5)}^{0} \cdot x$
224036	Simplify	(6 square root of 6-6 square root of 2)( square root of 6+ square root of 2)	$(6 \sqrt{6} - 6 \sqrt{2}) (\sqrt{6} + \sqrt{2})$
224037	Simplify the Radical Expression	( square root of 6+ square root of 3)( square root of 6+ square root of 3)	$(\sqrt{6} + \sqrt{3}) (\sqrt{6} + \sqrt{3})$
224038	Graph	-y>=2x	$- y \geq 2 x$
224039	Solve for k	740/7608.9=18.1/k0.0821*295	$\frac{740}{760} \cdot 8.9 = \frac{18.1}{k} \cdot 0.0821 \cdot 295$
224040	Solve for r	15r^2-6r-3=-2r	$15 r^{2} - 6 r - 3 = - 2 r$
224041	Solve the Inequality for k	\|1-4k\|>=-11	$\| 1 - 4 k \| \geq - 11$
224042	Simplify	(4x^2+36)/(4x)*1/(5x)	$\frac{4 x^{2} + 36}{4 x} \cdot \frac{1}{5 x}$
224043	Solve the Inequality for x	log base 5 of 3x+2< log base 5 of 2x+5	$\log_{5} (3 x + 2) < \log_{5} (2 x + 5)$
224044	Simplify	3/26*8	$\frac{3}{26} \cdot 8$
224045	Simplify	sixth root of 512	$\sqrt[6]{512}$
224046	Solve for x	x-(5x+2)/6=(7-3x)/4	$x - \frac{5 x + 2}{6} = \frac{7 - 3 x}{4}$
224047	Find the End Behavior	P(x)=4x^5+9x^4+6x^3-x^2+2x-7	$P (x) = 4 x^{5} + 9 x^{4} + 6 x^{3} - x^{2} + 2 x - 7$
224048	Solve for c	5c^2-1=124	$5 c^{2} - 1 = 124$
224049	Solve for y	y=-3/2(-4)	$y = - \frac{3}{2} (- 4)$
224050	Simplify	(4- square root of x+15)/(1-x^2)	$\frac{4 - \sqrt{x + 15}}{1 - x^{2}}$
224051	Graph	2x+y<-3 2x-y<=-1	$2 x + y < - 3$ $2 x - y \leq - 1$
224052	Find the x and y Intercepts	y=(x+1)/((x+2)(x-5))	$y = \frac{(x + 1)}{(x + 2) (x - 5)}$
224053	Simplify	((a^2-5a-14)/(a-7))÷((a^2-a-6)/(5a^3+30a^2))	$\frac{a^{2} - 5 a - 14}{a - 7} \div \frac{a^{2} - a - 6}{5 a^{3} + 30 a^{2}}$
224054	Evaluate	(x^-4x^-6y^2)/(y^6)	$\frac{x^{- 4} x^{- 6} y^{2}}{y^{6}}$
224055	Simplify	-( square root of 3)/1	$- \frac{\sqrt{3}}{1}$
224056	Solve for x	(7x+9)/5-12=8	$\frac{7 x + 9}{5} - 12 = 8$
224057	Find the Exact Value	arccsc((-2 square root of 3)/3)	$arccsc (\frac{- 2 \sqrt{3}}{3})$
224058	Simplify	((x^-1)/(y^5))^2	${(\frac{x^{- 1}}{y^{5}})}^{2}$
224059	Describe the Transformation	y = cube root of x-3	$y = \sqrt[3]{x - 3}$
224060	Simplify	x^-2y^3 cube root of 64x^5y^3	$x^{- 2} y^{3} \sqrt[3]{64 x^{5} y^{3}}$
224061	Solve for R	9=R+2	$9 = R + 2$
224062	Solve for n	(3n)/2+3=15	$\frac{3 n}{2} + 3 = 15$
224063	Solve the System of Equations	What is the solution to the system of equations y=-x^2+2 and y=x^2 ?	What is the solution to the system of equations $y = - x^{2} + 2$ and $y = x^{2}$ ?
224064	Find the Product	(x+2)(y^2+2y-12)	$(x + 2) (y^{2} + 2 y - 12)$
224065	Simplify the Radical Expression	((v^-1)/(v^-4))^(5/12)	${(\frac{v^{- 1}}{v^{- 4}})}^{\frac{5}{12}}$
224066	Solve the Inequality for d	-d/12-6<1	$- \frac{d}{12} - 6 < 1$
224067	Graph	g(x)=-f(x+2)+3	$g (x) = - f (x + 2) + 3$
224068	Simplify the Radical Expression	4 square root of 2x*5 square root of 6xy^2	$4 \sqrt{2 x} \cdot 5 \sqrt{6 x y^{2}}$
224069	Divide	(10e)÷2	$10 e \div 2$
224070	Simplify	-(-10+10i)-(-9-5i)+(-12+i)	$- (- 10 + 10 i) - (- 9 - 5 i) + (- 12 + i)$
224071	Graph	(4,135 degrees )	$(4, 135 °)$
224072	Simplify	(7-21x)/6*(4x+10)/(14-42x)	$\frac{7 - 21 x}{6} \cdot \frac{4 x + 10}{14 - 42 x}$
224073	Simplify	3^3*4^3	$3^{3} \times 4^{3}$
224074	Simplify the Radical Expression	28 root of 1/(p^6*p)	$\sqrt[28]{\frac{1}{p^{6} \cdot p}}$
224075	Simplify the Radical Expression	i^3	$i^{3}$
224076	Solve for p	4/5p+6=-1/3p-3	$\frac{4}{5} p + 6 = - \frac{1}{3} p - 3$
224077	Simplify	Simplify square root of 12	Simplify $\sqrt{12}$
224078	Solve for w	3w-15w-16=-52	$3 w - 15 w - 16 = - 52$
224079	Simplify	(x- cube root of 2)(x^2+ cube root of 2x+ cube root of 4)	$(x - \sqrt[3]{2}) (x^{2} + \sqrt[3]{2 x} + \sqrt[3]{4})$
224080	Solve the System of Inequalities	x<1 and x>-2	$x < 1$ and $x > - 2$
224081	Simplify	cube root of (6yz)^6	$\sqrt[3]{{(6 y z)}^{6}}$
224082	Simplify	(3x^3-5x^2+2x)(-5x^3)	$(3 x^{3} - 5 x^{2} + 2 x) (- 5 x^{3})$
224083	Simplify	(-3^-2b^2)/(a^0b^-3)	$\frac{- 3^{- 2} b^{2}}{a^{0} b^{- 3}}$
224084	Solve for y	3(y+1)^2-5=43	$3 {(y + 1)}^{2} - 5 = 43$
224085	Rationalize the Denominator	2/(- square root of 3)	$\frac{2}{- \sqrt{3}}$
224086	Convert to a Simplified Fraction	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
224087	Evaluate	((y^4-16)/(y+2))÷((y^2+4)/5)	$\frac{y^{4} - 16}{y + 2} \div \frac{y^{2} + 4}{5}$
224088	Evaluate	cot(x)+1=0	$\cot (x) + 1 = 0$
224089	Graph	f(x)=-(2x-1)/(x-2)	$f (x) = - \frac{2 x - 1}{x - 2}$
224090	Graph	(dy)/(dx)=-x/y	$\frac{d y}{d x} = - \frac{x}{y}$
224091	Solve the Rational Equation for p	(p+5)/(p^2+p)=1/(p^2+p)-(p-6)/(p+1)	$\frac{p + 5}{p^{2} + p} = \frac{1}{p^{2} + p} - \frac{p - 6}{p + 1}$
224092	Solve for d	a=pi(d^2)/4	$a = π \frac{d^{2}}{4}$
224093	Write the Fraction in Simplest Form	(-3(z)^3)/(12b^4z^10)	$\frac{- 3 {(z)}^{3}}{12 b^{4} z^{10}}$
224094	Simplify	(x^3-2x^2+x-2)(x^2-2x+2)	$(x^{3} - 2 x^{2} + x - 2) (x^{2} - 2 x + 2)$
224095	Solve for t	h(35)=50-t/5	$h (35) = 50 - \frac{t}{5}$
224096	Rationalize the Denominator	3/( square root of x+y)	$\frac{3}{\sqrt{x + y}}$
224097	Solve for w	1/2 square root of w+1=4	$\frac{1}{2} \sqrt{w + 1} = 4$
224098	Solve for x	15+2(3-x)=-23x	$15 + 2 (3 - x) = - 23 x$
224099	Solve the Inequality for y	square root of 9y+19- square root of 6y-5>3	$\sqrt{9 y + 19} - \sqrt{6 y - 5} > 3$
224100	Solve for x	16=8 square root of 100-x	$16 = 8 \sqrt{100 - x}$