Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197901	Solve for y	7x+8y<=14x-16	$7 x + 8 y \leq 14 x - 16$
197902	Solve for a	3(1-9a)+22a=2(2a-9)-15	$3 (1 - 9 a) + 22 a = 2 (2 a - 9) - 15$
197903	Graph	x-y<3 and x>1	$x - y < 3$ and $x > 1$
197904	Evaluate	2^(3^4)	$2^{3^{4}}$
197905	Simplify	1/(x^(-3/6))	$\frac{1}{x^{- \frac{3}{6}}}$
197906	Multiply	3(x+h)^2	$3 {(x + h)}^{2}$
197907	Solve for x	-\|x-2\|+9>6	$- \| x - 2 \| + 9 > 6$
197908	Find the 5th Term	2/3 , 1/2 , 3/8 , 9/32	$\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{3}{8}$ , $\frac{9}{32}$
197909	Simplify	(x+3i)^2-(2x-3i)^2	${(x + 3 i)}^{2} - {(2 x - 3 i)}^{2}$
197910	Evaluate	pi-(-pi)	$π - (- π)$
197911	Multiply	(-2xy)(-2xy)	$(- 2 x y) (- 2 x y)$
197912	Graph Using a Table of Values	y=-5x^2	$y = - 5 x^{2}$
197913	Evaluate	natural log of \|0\|	$\ln (\| 0 \|)$
197914	Evaluate	f(5)=3x+2	$f (5) = 3 x + 2$
197915	Solve for x	12(2x-3)>60	$12 (2 x - 3) > 60$
197916	Solve for x	x^3-2=0	$x^{3} - 2 = 0$
197917	Simplify	((3x^5y^4)/(x^0y^-3))^2	${(\frac{3 x^{5} y^{4}}{x^{0} y^{- 3}})}^{2}$
197918	Solve for x	-3=(9(5-2x))/5	$- 3 = \frac{9 (5 - 2 x)}{5}$
197919	Solve for G	D=2/3(F-G)	$D = \frac{2}{3} (F - G)$
197920	Evaluate	1+1/2+1/3	$1 + \frac{1}{2} + \frac{1}{3}$
197921	Find the Domain and Range	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
197922	Evaluate	(pi/2)	$(\frac{π}{2})$
197923	Simplify	-5x^2-9x+8 from -6x^2+5	$- 5 x^{2} - 9 x + 8$ from $- 6 x^{2} + 5$
197924	Simplify	-(x+(-(x+y)-(-x+(y-z)-(-x+y))-y))	$- (x + (- (x + y) - (- x + (y - z) - (- x + y)) - y))$
197925	Graph	f(x)=3+x if x<-2; x^2 if -2<=x<2; 6-x if x>=2	$f (x) = {\begin{cases} 3 + x & x < - 2 \\ x^{2} & - 2 \leq x < 2 \\ 6 - x & x \geq 2 \end{cases}$
197926	Evaluate	((2x+1)-1)/2	$\frac{(2 x + 1) - 1}{2}$
197927	Solve by Factoring	3x^2=81-x^2	$3 x^{2} = 81 - x^{2}$
197928	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^2-5x+5x^3-x^4	$f (x) = 10 x^{2} - 5 x + 5 x^{3} - x^{4}$
197929	Solve the Absolute Value Inequality for x	\|2x-3\|=4x-1	$\| 2 x - 3 \| = 4 x - 1$
197930	Solve the Inequality for n	5n-3(n-6)>=0	$5 n - 3 (n - 6) \geq 0$
197931	Simplify	2 square root of 3+2 square root of 3( square root of 2)- square root of 3	$2 \sqrt{3} + 2 \sqrt{3} (\sqrt{2}) - \sqrt{3}$
197932	Simplify	15<-5x	$15 < - 5 x$
197933	Divide	(-2x^3+7x^2+9x)÷(x)	$(- 2 x^{3} + 7 x^{2} + 9 x) \div (x)$
197934	Evaluate	2( square root of 80/5-5)	$2 (\sqrt{\frac{80}{5}} - 5)$
197935	Solve for k	4x^2-kx+4=0	$4 x^{2} - k x + 4 = 0$
197936	Graph	y=-1/2tan(x)	$y = - \frac{1}{2} \tan (x)$
197937	Find the Roots (Zeros)	8x^2=6x+9	$8 x^{2} = 6 x + 9$
197938	Find the Midpoint	(-4,7) and (0,-3)	$(- 4, 7)$ and $(0, - 3)$
197939	Solve for x	6\|2x+5\|=6x+24	$6 \| 2 x + 5 \| = 6 x + 24$
197940	Evaluate	- log of 1.8*10^-5	$- \log (1.8) \cdot 10^{- 5}$
197941	Simplify	c-5c-2c	$c - 5 c - 2 c$
197942	Solve for x	log base 2 of 4x^2+7- log base 2 of 2x+5=3	$\log_{2} (4 x^{2} + 7) - \log_{2} (2 x + 5) = 3$
197943	Solve the Inequality for x	1/(x-2)<2/(3x-9)	$\frac{1}{x - 2} < \frac{2}{3 x - 9}$
197944	Solve for x	(3x+5)/(x+1)+2/(x-1)=(2x)/(x-1)	$\frac{3 x + 5}{x + 1} + \frac{2}{x - 1} = \frac{2 x}{x - 1}$
197945	Solve for x	1/(6x^2)-1/(x^2)=-1/(6x)	$\frac{1}{6 x^{2}} - \frac{1}{x^{2}} = - \frac{1}{6 x}$
197946	Solve for r	5(x-4)+4+r=4(x+3)+x	$5 (x - 4) + 4 + r = 4 (x + 3) + x$
197947	Solve the Inequality for x	4x+1+2x>=5	$4 x + 1 + 2 x \geq 5$
197948	Find the Domain and Range	f(x)=-3+ square root of 4x-12	$f (x) = - 3 + \sqrt{4 x - 12}$ ?
197949	Solve for x	10/(x^2-2x)-5/(x-2)=-4/x	$\frac{10}{x^{2} - 2 x} - \frac{5}{x - 2} = - \frac{4}{x}$
197950	Find the Excluded Values	(x^2(x^2-5x-14))/(4x(x^2+6x+8))	$\frac{x^{2} (x^{2} - 5 x - 14)}{4 x (x^{2} + 6 x + 8)}$
197951	Divide	13/(2-3i)	$\frac{13}{2 - 3 i}$
197952	Divide	(1/4)÷(-1/2)	$\frac{1}{4} \div (- \frac{1}{2})$
197953	Graph	f(x) = log of 1/2x	$f (x) = \log (\frac{1}{2} x)$
197954	Solve the System of Inequalities	4x<=12 or 9-x<0	$4 x \leq 12$ or $9 - x < 0$
197955	Simplify	1/( square root of 2)*1/( square root of 2)	$\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}$
197956	Evaluate Using the Given Value	cos(theta) if tan(theta)=-4/3	$\cos (θ)$ if $\tan (θ) = - \frac{4}{3}$
197957	Factor	3x^2y+6x^2y^2+9x^2	$3 x^{2} y + 6 x^{2} y^{2} + 9 x^{2}$
197958	Solve the Absolute Value Inequality for x	\|3x-5\|=2x	$\| 3 x - 5 \| = 2 x$
197959	Solve the Absolute Value Inequality for x	(\|x-3\|)/2>6	$\frac{\| x - 3 \|}{2} > 6$
197960	Graph	x+y<=4 x-y>=5	$x + y \leq 4$ $x - y \geq 5$
197961	Solve for x	(x-3)(x^2+9)=0	$(x - 3) (x^{2} + 9) = 0$
197962	Simplify	-6a^2b^-4c*4ab^2	$- 6 a^{2} b^{- 4} c \cdot 4 a b^{2}$
197963	Solve the Inequality for x	x+2> square root of 10-x^2	$x + 2 > \sqrt{10 - x^{2}}$
197964	Simplify	y^(5/9)(y^(2/9)-4y^(3/9))	$y^{\frac{5}{9}} (y^{\frac{2}{9}} - 4 y^{\frac{3}{9}})$
197965	Solve for x	6.3-5x=1.1-(3x+5.3)	$6.3 - 5 x = 1.1 - (3 x + 5.3)$
197966	Graph	y<-1/2x+2 y>=-3/2x+2	$y < - \frac{1}{2} x + 2$ $y \geq - \frac{3}{2} x + 2$
197967	Graph	(-3,pi/4)	$(- 3, \frac{π}{4})$
197968	Simplify	cube root of 3( cube root of 4+ cube root of 32)	$\sqrt[3]{3} (\sqrt[3]{4} + \sqrt[3]{32})$
197969	Divide	2x^2+17x+35 by x+5	$2 x^{2} + 17 x + 35$ by $x + 5$
197970	Solve for x	x^5=1	$x^{5} = 1$
197971	Solve for x	27-5x^2=-53	$27 - 5 x^{2} = - 53$
197972	Simplify	6z^4-4+9(y^3+6)	$6 z^{4} - 4 + 9 (y^{3} + 6)$
197973	Find the GCF	63 , 147	$63$ , $147$
197974	Simplify	2(1/2a^2b^3)^3	$2 {(\frac{1}{2} a^{2} b^{3})}^{3}$
197975	Simplify	((3c+6)/(3c+9))÷((c^2-6c+8)/(c^2+2c-3))*(3c-6)/(3c+12)	$\frac{3 c + 6}{3 c + 9} \div \frac{c^{2} - 6 c + 8}{c^{2} + 2 c - 3} \cdot \frac{3 c - 6}{3 c + 12}$
197976	Solve the System of Equations	2x-y=-3 x+y=0	$2 x - y = - 3$ $x + y = 0$
197977	Solve the Absolute Value Inequality for n	\|n+2\|-3>=-6	$\| n + 2 \| - 3 \geq - 6$
197978	Graph	f(x)=x if x<=-1; -x+4 if x>-1	$f (x) = {\begin{cases} x & x \leq - 1 \\ - x + 4 & x > - 1 \end{cases}$
197979	Factor	x^3(2x-y)+xy(2x-y)^2	$x^{3} (2 x - y) + x y {(2 x - y)}^{2}$
197980	Find the LCD	-6/(x+2) and (3x)/(7x+14)	$\frac{- 6}{x + 2}$ and $\frac{3 x}{7 x + 14}$
197981	Simplify	(6x^3-5x^2-6)+(3x^2+10-9x^3)	$(6 x^{3} - 5 x^{2} - 6) + (3 x^{2} + 10 - 9 x^{3})$
197982	Simplify	(1/2x^2y^3z)^3	${(\frac{1}{2} x^{2} y^{3} z)}^{3}$
197983	Solve for d	3\|2d-6\|+2=2	$3 \| 2 d - 6 \| + 2 = 2$
197984	Find the Distance Between Two Points	(-1,0) and (5,-8)	$(- 1, 0)$ and $(5, - 8)$
197985	Solve the Inequality for x	(x+1)/(x+4)<2	$\frac{x + 1}{x + 4} < 2$
197986	Simplify	7/(2x^2+18x)-(5x)/(x^2+17x+72)	$\frac{7}{2 x^{2} + 18 x} - \frac{5 x}{x^{2} + 17 x + 72}$
197987	Solve for d	7d-9d+7=-15	$7 d - 9 d + 7 = - 15$
197988	Find the Excluded Values	(x^2-3x-2)/(-4y)*(2x-2)/(-xy^2+2y^2)	$\frac{x^{2} - 3 x - 2}{- 4 y} \cdot \frac{2 x - 2}{- x y^{2} + 2 y^{2}}$
197989	Write in Slope-Intercept Form	(1,6) and (-1,8)	$(1, 6)$ and $(- 1, 8)$
197990	Evaluate	(-2+1)	$(- 2 + 1)$
197991	Solve for r	q=2ts+2sr+2rt	$q = 2 t s + 2 s r + 2 r t$
197992	Solve for x	4+3/4x=2+2/3x	$4 + \frac{3}{4} x = 2 + \frac{2}{3} x$
197993	Solve Using the Square Root Property	1/2r^2-10=3/2r^2	$\frac{1}{2} r^{2} - 10 = \frac{3}{2} r^{2}$
197994	Solve for x	3x-10+4x=-2(x-4)+9	$3 x - 10 + 4 x = - 2 (x - 4) + 9$
197995	Simplify	square root of 25-x^2+ square root of x+3	$\sqrt{25 - x^{2}} + \sqrt{x + 3}$
197996	Evaluate	(6a^3-5a^2+8a-3)+(a^3-12a^2-4a+2)	$(6 a^{3} - 5 a^{2} + 8 a - 3) + (a^{3} - 12 a^{2} - 4 a + 2)$
197997	Evaluate	e^1-e^0	$e^{1} - e^{0}$
197998	Convert to Polar	x^2+y^2=2x	$x^{2} + y^{2} = 2 x$
197999	Multiply	-1/6*2	$- \frac{1}{6} \cdot 2$
198000	Solve for a	a=7a-66	$a = 7 a - 66$