Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197901	Solve for x	5/8-3/5=x/10	$\frac{5}{8} - \frac{3}{5} = \frac{x}{10}$
197902	Convert to Interval Notation	-6(x+1)<2(x+5)	$- 6 (x + 1) < 2 (x + 5)$
197903	Solve for x	3/(2x-4)-5/(3x-6)=3/5	$\frac{3}{2 x - 4} - \frac{5}{3 x - 6} = \frac{3}{5}$
197904	Factor	12x^2y-27y-4x^2+9	$12 x^{2} y - 27 y - 4 x^{2} + 9$
197905	Solve for z	5z=4	$5 z = 4$
197906	Solve for x	(2x+12)/5=4y	$\frac{2 x + 12}{5} = 4 y$
197907	Solve for b	-18.14(0.5b+2)=-15b-42.21	$- 18.14 (0.5 b + 2) = - 15 b - 42.21$
197908	Find the x and y Intercepts	r(x)=(x^3-3x^2-4x)/(x-4)	$r (x) = \frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
197909	Solve Using the Quadratic Formula	y=x^2+x-6	$y = x^{2} + x - 6$
197910	Evaluate	1/((1/2)^2)	$\frac{1}{{(\frac{1}{2})}^{2}}$
197911	Solve Using the Quadratic Formula	(x+3)*2=49	$(x + 3) \cdot 2 = 49$
197912	Find the Roots (Zeros)	(x-2)^2=0	${(x - 2)}^{2} = 0$
197913	Find the x and y Intercepts	(x^2-4)/(-x-2)	$\frac{x^{2} - 4}{- x - 2}$
197914	Solve for x	cube root of x^2+4-2=0	$\sqrt[3]{x^{2} + 4} - 2 = 0$
197915	Solve for C	(3x-5)/(4x+3)+(-2x+1)/(7x-2)=(Ax^2+Bx+C)/((4x+3)(7x-2))	$\frac{3 x - 5}{4 x + 3} + \frac{- 2 x + 1}{7 x - 2} = \frac{A x^{2} + B x + C}{(4 x + 3) (7 x - 2)}$
197916	Solve for y	7x+8y<=14x-16	$7 x + 8 y \leq 14 x - 16$
197917	Solve for a	3(1-9a)+22a=2(2a-9)-15	$3 (1 - 9 a) + 22 a = 2 (2 a - 9) - 15$
197918	Graph	x-y<3 and x>1	$x - y < 3$ and $x > 1$
197919	Evaluate	2^(3^4)	$2^{3^{4}}$
197920	Simplify	1/(x^(-3/6))	$\frac{1}{x^{- \frac{3}{6}}}$
197921	Multiply	3(x+h)^2	$3 {(x + h)}^{2}$
197922	Solve for x	-\|x-2\|+9>6	$- \| x - 2 \| + 9 > 6$
197923	Find the 5th Term	2/3 , 1/2 , 3/8 , 9/32	$\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{3}{8}$ , $\frac{9}{32}$
197924	Simplify	(x+3i)^2-(2x-3i)^2	${(x + 3 i)}^{2} - {(2 x - 3 i)}^{2}$
197925	Evaluate	pi-(-pi)	$π - (- π)$
197926	Multiply	(-2xy)(-2xy)	$(- 2 x y) (- 2 x y)$
197927	Graph Using a Table of Values	y=-5x^2	$y = - 5 x^{2}$
197928	Evaluate	natural log of \|0\|	$\ln (\| 0 \|)$
197929	Evaluate	f(5)=3x+2	$f (5) = 3 x + 2$
197930	Solve for x	12(2x-3)>60	$12 (2 x - 3) > 60$
197931	Solve for x	x^3-2=0	$x^{3} - 2 = 0$
197932	Simplify	((3x^5y^4)/(x^0y^-3))^2	${(\frac{3 x^{5} y^{4}}{x^{0} y^{- 3}})}^{2}$
197933	Solve for x	-3=(9(5-2x))/5	$- 3 = \frac{9 (5 - 2 x)}{5}$
197934	Solve for G	D=2/3(F-G)	$D = \frac{2}{3} (F - G)$
197935	Evaluate	1+1/2+1/3	$1 + \frac{1}{2} + \frac{1}{3}$
197936	Find the Domain and Range	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
197937	Evaluate	(pi/2)	$(\frac{π}{2})$
197938	Simplify	-5x^2-9x+8 from -6x^2+5	$- 5 x^{2} - 9 x + 8$ from $- 6 x^{2} + 5$
197939	Simplify	-(x+(-(x+y)-(-x+(y-z)-(-x+y))-y))	$- (x + (- (x + y) - (- x + (y - z) - (- x + y)) - y))$
197940	Graph	f(x)=3+x if x<-2; x^2 if -2<=x<2; 6-x if x>=2	$f (x) = {\begin{cases} 3 + x & x < - 2 \\ x^{2} & - 2 \leq x < 2 \\ 6 - x & x \geq 2 \end{cases}$
197941	Evaluate	((2x+1)-1)/2	$\frac{(2 x + 1) - 1}{2}$
197942	Solve by Factoring	3x^2=81-x^2	$3 x^{2} = 81 - x^{2}$
197943	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^2-5x+5x^3-x^4	$f (x) = 10 x^{2} - 5 x + 5 x^{3} - x^{4}$
197944	Solve the Absolute Value Inequality for x	\|2x-3\|=4x-1	$\| 2 x - 3 \| = 4 x - 1$
197945	Solve the Inequality for n	5n-3(n-6)>=0	$5 n - 3 (n - 6) \geq 0$
197946	Simplify	2 square root of 3+2 square root of 3( square root of 2)- square root of 3	$2 \sqrt{3} + 2 \sqrt{3} (\sqrt{2}) - \sqrt{3}$
197947	Simplify	15<-5x	$15 < - 5 x$
197948	Divide	(-2x^3+7x^2+9x)÷(x)	$(- 2 x^{3} + 7 x^{2} + 9 x) \div (x)$
197949	Evaluate	2( square root of 80/5-5)	$2 (\sqrt{\frac{80}{5}} - 5)$
197950	Solve for k	4x^2-kx+4=0	$4 x^{2} - k x + 4 = 0$
197951	Graph	y=-1/2tan(x)	$y = - \frac{1}{2} \tan (x)$
197952	Find the Roots (Zeros)	8x^2=6x+9	$8 x^{2} = 6 x + 9$
197953	Find the Midpoint	(-4,7) and (0,-3)	$(- 4, 7)$ and $(0, - 3)$
197954	Solve for x	6\|2x+5\|=6x+24	$6 \| 2 x + 5 \| = 6 x + 24$
197955	Evaluate	- log of 1.8*10^-5	$- \log (1.8) \cdot 10^{- 5}$
197956	Simplify	c-5c-2c	$c - 5 c - 2 c$
197957	Solve for x	log base 2 of 4x^2+7- log base 2 of 2x+5=3	$\log_{2} (4 x^{2} + 7) - \log_{2} (2 x + 5) = 3$
197958	Solve the Inequality for x	1/(x-2)<2/(3x-9)	$\frac{1}{x - 2} < \frac{2}{3 x - 9}$
197959	Solve for x	(3x+5)/(x+1)+2/(x-1)=(2x)/(x-1)	$\frac{3 x + 5}{x + 1} + \frac{2}{x - 1} = \frac{2 x}{x - 1}$
197960	Solve for x	1/(6x^2)-1/(x^2)=-1/(6x)	$\frac{1}{6 x^{2}} - \frac{1}{x^{2}} = - \frac{1}{6 x}$
197961	Solve for r	5(x-4)+4+r=4(x+3)+x	$5 (x - 4) + 4 + r = 4 (x + 3) + x$
197962	Solve the Inequality for x	4x+1+2x>=5	$4 x + 1 + 2 x \geq 5$
197963	Find the Domain and Range	f(x)=-3+ square root of 4x-12	$f (x) = - 3 + \sqrt{4 x - 12}$ ?
197964	Solve for x	10/(x^2-2x)-5/(x-2)=-4/x	$\frac{10}{x^{2} - 2 x} - \frac{5}{x - 2} = - \frac{4}{x}$
197965	Find the Excluded Values	(x^2(x^2-5x-14))/(4x(x^2+6x+8))	$\frac{x^{2} (x^{2} - 5 x - 14)}{4 x (x^{2} + 6 x + 8)}$
197966	Divide	13/(2-3i)	$\frac{13}{2 - 3 i}$
197967	Divide	(1/4)÷(-1/2)	$\frac{1}{4} \div (- \frac{1}{2})$
197968	Graph	f(x) = log of 1/2x	$f (x) = \log (\frac{1}{2} x)$
197969	Solve the System of Inequalities	4x<=12 or 9-x<0	$4 x \leq 12$ or $9 - x < 0$
197970	Simplify	1/( square root of 2)*1/( square root of 2)	$\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}$
197971	Evaluate Using the Given Value	cos(theta) if tan(theta)=-4/3	$\cos (θ)$ if $\tan (θ) = - \frac{4}{3}$
197972	Factor	3x^2y+6x^2y^2+9x^2	$3 x^{2} y + 6 x^{2} y^{2} + 9 x^{2}$
197973	Solve the Absolute Value Inequality for x	\|3x-5\|=2x	$\| 3 x - 5 \| = 2 x$
197974	Solve the Absolute Value Inequality for x	(\|x-3\|)/2>6	$\frac{\| x - 3 \|}{2} > 6$
197975	Graph	x+y<=4 x-y>=5	$x + y \leq 4$ $x - y \geq 5$
197976	Solve for x	(x-3)(x^2+9)=0	$(x - 3) (x^{2} + 9) = 0$
197977	Simplify	-6a^2b^-4c*4ab^2	$- 6 a^{2} b^{- 4} c \cdot 4 a b^{2}$
197978	Solve the Inequality for x	x+2> square root of 10-x^2	$x + 2 > \sqrt{10 - x^{2}}$
197979	Simplify	y^(5/9)(y^(2/9)-4y^(3/9))	$y^{\frac{5}{9}} (y^{\frac{2}{9}} - 4 y^{\frac{3}{9}})$
197980	Solve for x	6.3-5x=1.1-(3x+5.3)	$6.3 - 5 x = 1.1 - (3 x + 5.3)$
197981	Graph	y<-1/2x+2 y>=-3/2x+2	$y < - \frac{1}{2} x + 2$ $y \geq - \frac{3}{2} x + 2$
197982	Graph	(-3,pi/4)	$(- 3, \frac{π}{4})$
197983	Simplify	cube root of 3( cube root of 4+ cube root of 32)	$\sqrt[3]{3} (\sqrt[3]{4} + \sqrt[3]{32})$
197984	Divide	2x^2+17x+35 by x+5	$2 x^{2} + 17 x + 35$ by $x + 5$
197985	Solve for x	x^5=1	$x^{5} = 1$
197986	Solve for x	27-5x^2=-53	$27 - 5 x^{2} = - 53$
197987	Simplify	6z^4-4+9(y^3+6)	$6 z^{4} - 4 + 9 (y^{3} + 6)$
197988	Find the GCF	63 , 147	$63$ , $147$
197989	Simplify	2(1/2a^2b^3)^3	$2 {(\frac{1}{2} a^{2} b^{3})}^{3}$
197990	Simplify	((3c+6)/(3c+9))÷((c^2-6c+8)/(c^2+2c-3))*(3c-6)/(3c+12)	$\frac{3 c + 6}{3 c + 9} \div \frac{c^{2} - 6 c + 8}{c^{2} + 2 c - 3} \cdot \frac{3 c - 6}{3 c + 12}$
197991	Solve the System of Equations	2x-y=-3 x+y=0	$2 x - y = - 3$ $x + y = 0$
197992	Solve the Absolute Value Inequality for n	\|n+2\|-3>=-6	$\| n + 2 \| - 3 \geq - 6$
197993	Graph	f(x)=x if x<=-1; -x+4 if x>-1	$f (x) = {\begin{cases} x & x \leq - 1 \\ - x + 4 & x > - 1 \end{cases}$
197994	Factor	x^3(2x-y)+xy(2x-y)^2	$x^{3} (2 x - y) + x y {(2 x - y)}^{2}$
197995	Find the LCD	-6/(x+2) and (3x)/(7x+14)	$\frac{- 6}{x + 2}$ and $\frac{3 x}{7 x + 14}$
197996	Simplify	(6x^3-5x^2-6)+(3x^2+10-9x^3)	$(6 x^{3} - 5 x^{2} - 6) + (3 x^{2} + 10 - 9 x^{3})$
197997	Simplify	(1/2x^2y^3z)^3	${(\frac{1}{2} x^{2} y^{3} z)}^{3}$
197998	Solve for d	3\|2d-6\|+2=2	$3 \| 2 d - 6 \| + 2 = 2$
197999	Find the Distance Between Two Points	(-1,0) and (5,-8)	$(- 1, 0)$ and $(5, - 8)$
198000	Solve the Inequality for x	(x+1)/(x+4)<2	$\frac{x + 1}{x + 4} < 2$