Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162901	Solve the System of Equations	y=x+2 y=3x-2	$y = x + 2$ $y = 3 x - 2$
162902	Find the Product	(x+y)(x^2-xy+y^2)	$(x + y) (x^{2} - x y + y^{2})$
162903	Solve for x	0=x^2-4x+4	$0 = x^{2} - 4 x + 4$
162904	Find the Exact Value	2^-6	$2^{- 6}$
162905	Factor	3a^2b+6ab-5a^3b^2+8a^2bx+4ab^2m	$3 a^{2} b + 6 a b - 5 a^{3} b^{2} + 8 a^{2} b x + 4 a b^{2} m$
162906	Solve for a	(12a)(11a-1)=0	$(12 a) (11 a - 1) = 0$
162907	Graph	6<x+5<=11	$6 < x + 5 \leq 11$
162908	Evaluate	10+-2	$10 + - 2$
162909	Solve for x	6x^(1/2)=72	$6 x^{\frac{1}{2}} = 72$
162910	Evaluate	2/5(10)+3(6)-6	$\frac{2}{5} (10) + 3 (6) - 6$
162911	Evaluate	sin(105 degrees )	$\sin (105 °)$
162912	Solve the Inequality for x	-8x-10<-6x+2<=-8x+4	$- 8 x - 10 < - 6 x + 2 \leq - 8 x + 4$
162913	Write in Standard Form	1/10x^2+10-3x	$\frac{1}{10} x^{2} + 10 - 3 x$
162914	Factor	x^2-x^3y^5	$x^{2} - x^{3} y^{5}$
162915	Solve for r	5/(r-9)=8/(r+5)	$\frac{5}{r - 9} = \frac{8}{r + 5}$
162916	Solve the Inequality for t	6t+3<7t+10	$6 t + 3 < 7 t + 10$
162917	Solve for x	2 cube root of 3x+1-11=-3	$2 \sqrt[3]{3 x + 1} - 11 = - 3$
162918	Solve Using the Quadratic Formula	x^4-3x^2+2=0	$x^{4} - 3 x^{2} + 2 = 0$
162919	Simplify	3/( square root of 5- square root of 2)	$\frac{3}{\sqrt{5} - \sqrt{2}}$
162920	Solve for x	(2x)/3+1=x/2+2	$\frac{2 x}{3} + 1 = \frac{x}{2} + 2$
162921	Factor	m^2n^2+mn^2-2m^2n	$m^{2} n^{2} + m n^{2} - 2 m^{2} n$
162922	Graph	-8<y+2x<=14	$- 8 < y + 2 x \leq 14$
162923	Find the Exact Value	1+1/2	$1 + \frac{1}{2}$
162924	Simplify	(3x+24)/(x-1)*(x^2-4)/(x^2+6x-16)	$\frac{3 x + 24}{x - 1} \cdot \frac{x^{2} - 4}{x^{2} + 6 x - 16}$
162925	Solve the System of Inequalities	x+2<-4 or -5x<-15	$x + 2 < - 4$ or $- 5 x < - 15$
162926	Simplify	9/(6(x+2)^2-7(x+2))	$\frac{9}{6 {(x + 2)}^{2} - 7 (x + 2)}$
162927	Simplify	(5x^3)/(5x^3-20x^2)	$\frac{5 x^{3}}{5 x^{3} - 20 x^{2}}$
162928	Find the Exact Value	csc(-630 degrees )	$\csc (- 630 °)$
162929	Simplify	square root of (x-3)^2-4(x-3)	$\sqrt{{(x - 3)}^{2} - 4 (x - 3)}$
162930	Solve for x	1/x+x/2=11/6	$\frac{1}{x} + \frac{x}{2} = \frac{11}{6}$
162931	Solve the Inequality for x	x-24>=9	$x - 24 \geq 9$
162932	Solve for a	u=(-2a-3)/(ka)	$u = \frac{- 2 a - 3}{k a}$
162933	Solve the System of Equations	2x-y=1 4x-2y=2	$2 x - y = 1$ $4 x - 2 y = 2$
162934	Solve the Inequality for b	b+5<=9b-4	$b + 5 \leq 9 b - 4$
162935	Simplify the Radical Expression	square root of x^9	$\sqrt{x^{9}}$
162936	Simplify	square root of (3d^2)/5	$\sqrt{\frac{3 d^{2}}{5}}$
162937	Graph Using a Table of Values	Y=x^2+2x-3	$Y = x^{2} + 2 x - 3$
162938	Solve the Inequality for q	-6q+7<=8q-3	$- 6 q + 7 \leq 8 q - 3$
162939	Write in Slope-Intercept Form	y-4=-1/4(x-1)	$y - 4 = - \frac{1}{4} (x - 1)$
162940	Solve the Inequality for x	x/-6>=-20	$\frac{x}{- 6} \geq - 20$
162941	Solve for p	(2p+1)/(5p+6)=1/7	$\frac{2 p + 1}{5 p + 6} = \frac{1}{7}$
162942	Solve for x	(3x+3)/(x-1)=(3x+2)/(x+4)	$\frac{3 x + 3}{x - 1} = \frac{3 x + 2}{x + 4}$
162943	Find the Roots (Zeros)	(5b-4)(b+3)=0	$(5 b - 4) (b + 3) = 0$
162944	Simplify	(x+3)(x-3)(3x+2)	$(x + 3) (x - 3) (3 x + 2)$
162945	Solve the Inequality for x	5(x+8)-7<=23	$5 (x + 8) - 7 \leq 23$
162946	Simplify	(x/(x^2))÷((x^2+6x-27)/(x^2-9))	$\frac{x}{x^{2}} \div \frac{x^{2} + 6 x - 27}{x^{2} - 9}$
162947	Simplify	((3x)/(2x))÷((x^2-81)/(x^2+11x+18))	$\frac{3 x}{2 x} \div \frac{x^{2} - 81}{x^{2} + 11 x + 18}$
162948	Divide	(3x^3-3-6x)÷(3+3x)	$(3 x^{3} - 3 - 6 x) \div (3 + 3 x)$
162949	Solve the Inequality for x	(2x+1)/(x-5)<=3	$\frac{2 x + 1}{x - 5} \leq 3$
162950	Solve for y	x=a-2by^2	$x = a - 2 b y^{2}$
162951	Write in Standard Form	(x^4)/7+3x-7x^2-4	$\frac{x^{4}}{7} + 3 x - 7 x^{2} - 4$
162952	Find the Exact Value	sec(420 degrees )	$\sec (420 °)$
162953	Solve for x	5x-7+2x=4x+5	$5 x - 7 + 2 x = 4 x + 5$
162954	Simplify	(4/3)^-2	${(\frac{4}{3})}^{- 2}$
162955	Simplify	(1/3)^0	${(\frac{1}{3})}^{0}$
162956	Write in Standard Form	x-9+(x^2)/2	$x - 9 + \frac{x^{2}}{2}$
162957	Evaluate	18*2-(4^2)÷8	$18 \cdot 2 - 4^{2} \div 8$
162958	Find the Exact Value	tan(-105 degrees )	$\tan (- 105 °)$
162959	Simplify	(2x+7)/(x-5)-5/(x^2-10x+25)	$\frac{2 x + 7}{x - 5} - \frac{5}{x^{2} - 10 x + 25}$
162960	Simplify	tan(theta)*cot(theta)^2	$\tan (θ) \cdot \cot^{2} (θ)$
162961	Find the Complex Conjugate	square root of -25	$\sqrt{- 25}$
162962	Solve for x	4(x+1)^2-31=45	$4 {(x + 1)}^{2} - 31 = 45$
162963	Find the Function	f(x)=9	$f (x) = 9$
162964	Find the Exact Value	log base 2 of 128	$\log_{2} (128)$
162965	Evaluate	f(g(0))	$f (g (0))$
162966	Write in Standard Form	-(x^2)/8+1+5x^3-x^4	$- \frac{x^{2}}{8} + 1 + 5 x^{3} - x^{4}$
162967	Find the Product	(x+3)(2x-1)	$(x + 3) (2 x - 1)$
162968	Solve for x	5(x+1)-7=3(x-1)+2x	$5 (x + 1) - 7 = 3 (x - 1) + 2 x$
162969	Solve for x	x^(2/3)-3x^(1/3)=28	$x^{\frac{2}{3}} - 3 x^{\frac{1}{3}} = 28$
162970	Graph	y=f(-x)+5	$y = f (- x) + 5$
162971	Solve the Absolute Value Inequality for x	\|x\|=13	$\| x \| = 13$
162972	Simplify	(18x^2 square root of 14x^8)÷6 square root of 7x^4	$18 x^{2} \sqrt{14 x^{8}} \div 6 \sqrt{7 x^{4}}$
162973	Evaluate	log base 4 of x=3	$\log_{4} (x) = 3$
162974	Solve the Inequality for s	7s-9<6s-10	$7 s - 9 < 6 s - 10$
162975	Find the Slope and y-intercept	y=3x-1/2	$y = 3 x - \frac{1}{2}$
162976	Solve Using the Quadratic Formula	y^4-15y^2=16	$y^{4} - 15 y^{2} = 16$
162977	Graph	y>=5-x	$y \geq 5 - x$
162978	Find the Holes in the Graph	f(x)=(5x)/(-2x-4)	$f (x) = \frac{5 x}{- 2 x - 4}$
162979	Solve for x	square root of 5-x-1=x	$\sqrt{5 - x} - 1 = x$
162980	Solve for x	3x=3(x-1)	$3 x = 3 (x - 1)$
162981	Find All Complex Solutions	2cos(x)^2-cos(x)-1=0	$2 \cos^{2} (x) - \cos (x) - 1 = 0$
162982	Simplify	10xy^4(-14xy)	$10 x y^{4} (- 14 x y)$
162983	Solve the Inequality for x	x^2-6x+8<0	$x^{2} - 6 x + 8 < 0$
162984	Solve for z	z(z+2)(z-1)=0	$z (z + 2) (z - 1) = 0$
162985	Write in Standard Form	-8-(x^3)/2-x^4	$- 8 - \frac{x^{3}}{2} - x^{4}$
162986	Factor	x^4y+y^5	$x^{4} y + y^{5}$
162987	Simplify	(3p^3q)^(3/4)	${(3 p^{3} q)}^{\frac{3}{4}}$
162988	Simplify	((x^2+9x+18)/(7x+42))÷((x^2-9)/x)	$\frac{x^{2} + 9 x + 18}{7 x + 42} \div \frac{x^{2} - 9}{x}$
162989	Find the Holes in the Graph	f(x)=(3x-9)/(x-3)	$f (x) = \frac{3 x - 9}{x - 3}$
162990	Solve for x	19+4x-20=6x-35	$19 + 4 x - 20 = 6 x - 35$
162991	Solve for p	5p(2p-3)(p+7)=0	$5 p (2 p - 3) (p + 7) = 0$
162992	Find the Exact Value	16^(3/2)	$16^{\frac{3}{2}}$
162993	Write in Standard Form	5+2x^5-(x^3)/7-8x-10x^2	$5 + 2 x^{5} - \frac{x^{3}}{7} - 8 x - 10 x^{2}$
162994	Solve for x	3x^(2/3)-10x^(1/3)=8	$3 x^{\frac{2}{3}} - 10 x^{\frac{1}{3}} = 8$
162995	Write in Slope-Intercept Form	(-10,-7) , (-5,-9)	$(- 10, - 7)$ , $(- 5, - 9)$
162996	Divide	2÷(-4)	$2 \div (- 4)$
162997	Solve the Inequality for k	5k+4>=6k-5	$5 k + 4 \geq 6 k - 5$
162998	Simplify	(3/4)^-1	${(\frac{3}{4})}^{- 1}$
162999	Graph	f(x)=-(x+2)(x-1)^2(x+1)^2	$f (x) = - (x + 2) {(x - 1)}^{2} {(x + 1)}^{2}$
163000	Write in Exponential Form	log base 5x of x+9=4x	$\log_{5 x} (x + 9) = 4 x$