Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176901	Multiply	(6y-1/2q^2)(6y+1/2q^2)	$(6 y - \frac{1}{2} q^{2}) (6 y + \frac{1}{2} q^{2})$
176902	Write in Standard Form	(x+3)(x-3)=x(4x+5)	$(x + 3) (x - 3) = x (4 x + 5)$
176903	Find the x and y Intercepts	4x+3y	$4 x + 3 y$
176904	Find the Exact Value	(-5)^-3	${(- 5)}^{- 3}$
176905	Simplify	(9x^38)/(6(x^6)^3x)	$\frac{9 x^{38}}{6 {(x^{6})}^{3} x}$
176906	Solve for u	2(u+1)+7=3(u-2)+2u	$2 (u + 1) + 7 = 3 (u - 2) + 2 u$
176907	Graph	[8,infinity)	$[8, \infty)$
176908	Simplify	x(x+1)(2x+1)	$x (x + 1) (2 x + 1)$
176909	Factor	5xy+3x^2-2xy^2	$5 x y + 3 x^{2} - 2 x y^{2}$
176910	Solve for x	log base 2 of 2x-3 log base 2 of 2=3	$\log_{2} (2 x) - 3 \log_{2} (2) = 3$
176911	Evaluate	3(2)^2-2-2	$3 {(2)}^{2} - 2 - 2$
176912	Find g(f(x))	f(x)=7x and g(x)=x/7	$f (x) = 7 x$ and $g (x) = \frac{x}{7}$
176913	Write in Standard Form	6+3x^2=-8x+2x^2-5	$6 + 3 x^{2} = - 8 x + 2 x^{2} - 5$
176914	Find the Roots (Zeros)	(2t+3)^2+(t+4)^2=10	${(2 t + 3)}^{2} + {(t + 4)}^{2} = 10$
176915	Solve for x	(x+7)^(1/2)=(1-5x)^(1/2)	${(x + 7)}^{\frac{1}{2}} = {(1 - 5 x)}^{\frac{1}{2}}$
176916	Solve the Inequality for x	2x+3>9	$2 x + 3 > 9$
176917	Multiply	-5/2*(-5/2)	$- \frac{5}{2} \cdot (- \frac{5}{2})$
176918	Graph	y=(x-1)^2(x-3)(x+2)^2	$y = {(x - 1)}^{2} (x - 3) {(x + 2)}^{2}$
176919	Solve the System of Equations	x-3/5y=66/5 1/10x+3/4y=-87/20	$x - \frac{3}{5} y = \frac{66}{5}$ $\frac{1}{10} x + \frac{3}{4} y = - \frac{87}{20}$
176920	Evaluate	(4*7)^-4	${(4 \cdot 7)}^{- 4}$
176921	Solve the System of Equations	y=9x y=2x+49	$y = 9 x$ $y = 2 x + 49$
176922	Solve for θ	sin(theta)=3/4	$\sin (θ) = \frac{3}{4}$
176923	Solve the Inequality for x	(x+32)/(x+6)<=6	$\frac{x + 32}{x + 6} \leq 6$
176924	Solve for x	5/x+6/(5x)=2/3	$\frac{5}{x} + \frac{6}{5 x} = \frac{2}{3}$
176925	Solve for b	a/5=b+3a	$\frac{a}{5} = b + 3 a$
176926	Solve the Inequality for x	\|x-2\|<5	$\| x - 2 \| < 5$
176927	Solve for x	19x=-19/2	$19 x = - \frac{19}{2}$
176928	Solve the Inequality for x	x^2+8x+15<0	$x^{2} + 8 x + 15 < 0$
176929	Solve for v	9v^2-30v+25=0	$9 v^{2} - 30 v + 25 = 0$
176930	Solve the Inequality for x	12x-4>7x+11	$12 x - 4 > 7 x + 11$
176931	Solve for w	2(w+1)+7=3(w-2)+2w	$2 (w + 1) + 7 = 3 (w - 2) + 2 w$
176932	Simplify	(12yx^4)/(10yx^8)	$\frac{12 y x^{4}}{10 y x^{8}}$
176933	Factor	ab-a	$a b - a$
176934	Simplify	1/21/21/2	$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$
176935	Solve for x	16/(x-3)+30/(1-x)=3	$\frac{16}{x - 3} + \frac{30}{1 - x} = 3$
176936	Solve for x	-x/B=40	$- \frac{x}{B} = 40$
176937	Simplify	- square root of 4+ square root of -28- square root of 64+ square root of -175	$- \sqrt{4} + \sqrt{- 28} - \sqrt{64} + \sqrt{- 175}$
176938	Solve for z	n=wsz ; for z	$n = w s z$ ; for $z$
176939	Simplify	(1/x)/(1/x)	$\frac{\frac{1}{x}}{\frac{1}{x}}$
176940	Graph	y<=-3x-2 y>x-2	$y \leq - 3 x - 2$ $y > x - 2$
176941	Factor	x^4-10x^3+35x^2-50x+24	$x^{4} - 10 x^{3} + 35 x^{2} - 50 x + 24$
176942	Expand the Logarithmic Expression	log of (z^2y)/( cube root of x^5)	$\log (\frac{z^{2} y}{\sqrt[3]{x^{5}}})$
176943	Solve the System of Equations	-1/8x+y=33/4 -1/9x-1/10y=-47/30	$- \frac{1}{8} x + y = \frac{33}{4}$ $- \frac{1}{9} x - \frac{1}{10} y = - \frac{47}{30}$
176944	Evaluate	4*2pi	$4 \cdot 2 π$
176945	Simplify	(cot(t)+tan(t))/(csc(-t))	$\frac{\cot (t) + \tan (t)}{\csc (- t)}$
176946	Solve the System of Equations	y=4x-10 y=2	$y = 4 x - 10$ $y = 2$
176947	Solve for a	(x^(1/6))/( sixth root of x)=x^a	$\frac{x^{\frac{1}{6}}}{\sqrt[6]{x}} = x^{a}$
176948	Find the x and y Intercepts	f(x)=x/(x^2+3x)	$f (x) = \frac{x}{x^{2} + 3 x}$
176949	Solve for v	\|v+5\|-6<-5	$\| v + 5 \| - 6 < - 5$
176950	Graph	y=(x^2-1)/(x-1)	$y = \frac{x^{2} - 1}{x - 1}$
176951	Solve for x	x^2=a	$x^{2} = a$
176952	Solve the System of Equations	x-6y=27 3x-7y=37	$x - 6 y = 27$ $3 x - 7 y = 37$
176953	Simplify	((z^2-y^2)/(a^2-b^2))÷((z+y)/(a-b))	$\frac{z^{2} - y^{2}}{a^{2} - b^{2}} \div \frac{z + y}{a - b}$
176954	Solve for w	5^(w+3)=17	$5^{w + 3} = 17$
176955	Simplify	(4+i)/(5+i)	$\frac{4 + i}{5 + i}$
176956	Combine Like Terms	-6+4q+(-6q)	$- 6 + 4 q + (- 6 q)$
176957	Write in Slope-Intercept Form	m=2 , (3,-1)	$m = 2$ , $(3, - 1)$
176958	Solve the Absolute Value Inequality for x	-\|x-4\|+2=-2x+7	$- \| x - 4 \| + 2 = - 2 x + 7$
176959	Convert to Interval Notation	x<=-4 or x>=5	$x \leq - 4$ or $x \geq 5$
176960	Simplify	(x+5)/(x+5)	$\frac{x + 5}{x + 5}$
176961	Solve by Substitution	-y=x 3x+5y=20	$- y = x$ $3 x + 5 y = 20$
176962	Write in Standard Form	(5p^3-p)-(7p^2+4p-3)	$(5 p^{3} - p) - (7 p^{2} + 4 p - 3)$
176963	Solve the System of Equations	y=7x y=3x+20	$y = 7 x$ $y = 3 x + 20$
176964	Solve the System of Equations	x+2y=-3 x-y=-12	$x + 2 y = - 3$ $x - y = - 12$
176965	Simplify	(9(x/4)-4)/(5(x/4)-1)	$\frac{9 (\frac{x}{4}) - 4}{5 (\frac{x}{4}) - 1}$
176966	Solve for x	12n+3px=7px	$12 n + 3 p x = 7 p x$
176967	Solve for t	1/3(t+6)-10=-3t+2	$\frac{1}{3} (t + 6) - 10 = - 3 t + 2$
176968	Simplify	square root of 3* square root of -3	$\sqrt{3} \cdot \sqrt{- 3}$
176969	Write in Standard Form	-16+9x^2=-8x+5x^2	$- 16 + 9 x^{2} = - 8 x + 5 x^{2}$
176970	Simplify	6xy^3 square root of 75x^5y^4	$6 x y^{3} \sqrt{75 x^{5} y^{4}}$
176971	Factor	16x^3y^2-8x^4y-24x^2y-40x^2y^3	$16 x^{3} y^{2} - 8 x^{4} y - 24 x^{2} y - 40 x^{2} y^{3}$
176972	Find the x and y Intercepts	R(x)=(x^2)/(x^2-x-2)	$R (x) = \frac{x^{2}}{x^{2} - x - 2}$
176973	Simplify	(16yx^4)/(9x^8y^2)	$\frac{16 y x^{4}}{9 x^{8} y^{2}}$
176974	Find the Roots (Zeros)	x^2(x-1)(x+1)=0	$x^{2} (x - 1) (x + 1) = 0$
176975	Solve for n	12-1/9n=17	$12 - \frac{1}{9} n = 17$
176976	Simplify	square root of -18* square root of -10	$\sqrt{- 18} \cdot \sqrt{- 10}$
176977	Simplify	((2m^8)/(m^2n^4))^4	${(\frac{2 m^{8}}{m^{2} n^{4}})}^{4}$
176978	Find the Inverse	f(x)=10 fourth root of x	$f (x) = 10 \sqrt[4]{x}$
176979	Solve for g	(g-3)/3=5/3	$\frac{g - 3}{3} = \frac{5}{3}$
176980	Solve for x	y=x/3	$y = \frac{x}{3}$
176981	Factor	12-x^2+x	$12 - x^{2} + x$
176982	Evaluate	(1/x)^3	${(\frac{1}{x})}^{3}$
176983	Write in Standard Form	square root of -4- square root of -9	$\sqrt{- 4} - \sqrt{- 9}$
176984	Solve for x	(x+6)^(1/2)=x	${(x + 6)}^{\frac{1}{2}} = x$
176985	Find the First Term	2^n	$2^{n}$
176986	Simplify	(x^3*x^2)^5	${(x^{3} \cdot x^{2})}^{5}$
176987	Solve for d	square root of 7d+1-4=11	$\sqrt{7 d + 1} - 4 = 11$
176988	Find the Product	(x^2+6x+9)(3x-1)	$(x^{2} + 6 x + 9) (3 x - 1)$
176989	Simplify	(3y^2z)/(15y^5)	$\frac{3 y^{2} z}{15 y^{5}}$
176990	Solve for x	square root of 12-5x=5x	$\sqrt{12 - 5 x} = 5 x$
176991	Find the Equation of the Circle	Center (0,0) , r=5	Center $(0, 0)$ , $r = 5$
176992	Simplify	(-42x^10y^5+12x^8y^3-6x^2y)/(6x^2y)	$\frac{- 42 x^{10} y^{5} + 12 x^{8} y^{3} - 6 x^{2} y}{6 x^{2} y}$
176993	Simplify	(x^2-y^2)/(x^3-y^3)	$\frac{x^{2} - y^{2}}{x^{3} - y^{3}}$
176994	Simplify	x^3 fourth root of 32x^5y^3	$x^{3} \sqrt[4]{32 x^{5} y^{3}}$
176995	Solve for x	2(x+7)+3(x+12)=10	$2 (x + 7) + 3 (x + 12) = 10$
176996	Evaluate	12--4	$12 - - 4$
176997	Find the Domain and Range	f^-1(x) = cube root of x+8	$f^{- 1} (x) = \sqrt[3]{x + 8}$
176998	Graph	-1/3x^3+x^2-4/3	$- \frac{1}{3} x^{3} + x^{2} - \frac{4}{3}$
176999	Solve the Inequality for x	x^2-121<0	$x^{2} - 121 < 0$
177000	Simplify	8x-3-5x+2x+12	$8 x - 3 - 5 x + 2 x + 12$