Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166801	Evaluate	(2pi)÷3	$2 π \div 3$
166802	Solve for b	3 = square root of b-1	$3 = \sqrt{b - 1}$
166803	Graph	Q(x)=-x^2(x^2-4)	$Q (x) = - x^{2} (x^{2} - 4)$
166804	Simplify	square root of 48xy^2z^3	$\sqrt{48 x y^{2} z^{3}}$
166805	Solve for x	x-5(2x-3)=3(x-1)+4	$x - 5 (2 x - 3) = 3 (x - 1) + 4$
166806	Evaluate	log base m of m^(2n)	$\log_{m} (m^{2 n})$
166807	Solve for x	4^x=8^3	$4^{x} = 8^{3}$
166808	Evaluate	(d^2)/(dr^2)(pir^2)	$\frac{d^{2}}{d r^{2}} (π r^{2})$
166809	Find the Slope and y-intercept	y-5=0	$y - 5 = 0$
166810	Solve for x	x/(x+2)-4/(x-2)=1	$\frac{x}{x + 2} - \frac{4}{x - 2} = 1$
166811	Evaluate	1/6(6+18)-2^2	$\frac{1}{6} (6 + 18) - 2^{2}$
166812	Solve the Inequality for x	(2x-5)/(x-5)-3<0	$\frac{2 x - 5}{x - 5} - 3 < 0$
166813	Find the Exact Value	arccsc(2/( square root of 3))	$arccsc (\frac{2}{\sqrt{3}})$
166814	Simplify	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
166815	Solve the Inequality for x	(x-1)^2(x+2)(x-3)<0	${(x - 1)}^{2} (x + 2) (x - 3) < 0$
166816	Simplify	(6i-5)-(2-3i)	$(6 i - 5) - (2 - 3 i)$
166817	Find the Sum and Product of the Roots of the Quadratic Equation	18-10x+x^2=0	$18 - 10 x + x^{2} = 0$
166818	Graph	f(x)=-x if x<0; x if x>=0	$f (x) = {\begin{cases} - x & x < 0 \\ x & x \geq 0 \end{cases}$
166819	Find the Domain and Range	y=[x]	$y = [x]$
166820	Solve for w	5(w+2.2)-4w=9.3	$5 (w + 2.2) - 4 w = 9.3$
166821	Solve for x	3x-(2x-1)=7x-(3-5x)+(-x+24)	$3 x - (2 x - 1) = 7 x - (3 - 5 x) + (- x + 24)$
166822	Graph	(x-1)^2-y^2=4	${(x - 1)}^{2} - y^{2} = 4$
166823	Solve for n	3(n+5)>=3n+8	$3 (n + 5) \geq 3 n + 8$
166824	Graph	y=-x/2	$y = - \frac{x}{2}$
166825	Solve for x	56-10x>=20+8x	$56 - 10 x \geq 20 + 8 x$
166826	Simplify	2x^2y+3xy^2-3xy+4x^2y+y^2-5xy^2	$2 x^{2} y + 3 x y^{2} - 3 x y + 4 x^{2} y + y^{2} - 5 x y^{2}$
166827	Simplify	(v^3w^-3)/(-v^-6w^3)	$\frac{v^{3} w^{- 3}}{- v^{- 6} w^{3}}$
166828	Solve the Inequality for x	x^2-2x<=2	$x^{2} - 2 x \leq 2$
166829	Find the Discriminant	x^2-8x=0	$x^{2} - 8 x = 0$
166830	Solve for d	4+3/7d=1/7d-8	$4 + \frac{3}{7} d = \frac{1}{7} d - 8$
166831	Simplify	(6x-8)/(4x-1)+(x+3)/(4x-1)	$\frac{6 x - 8}{4 x - 1} + \frac{x + 3}{4 x - 1}$
166832	Solve for x	15x^2-56=88+6x^2	$15 x^{2} - 56 = 88 + 6 x^{2}$
166833	Evaluate	2(3)^1	$2 {(3)}^{1}$
166834	Solve the Inequality for x	\|2-4x\|<=1	$\| 2 - 4 x \| \leq 1$
166835	Solve for x	7+4+x-6=5+4	$7 + 4 + x - 6 = 5 + 4$
166836	Solve for x	1/2x-5/4+2x=5/6+x	$\frac{1}{2} x - \frac{5}{4} + 2 x = \frac{5}{6} + x$
166837	Solve for a	n = square root of b^2a-f	$n = \sqrt{b^{2} a - f}$
166838	Graph	6>=-6(a+2)	$6 \geq - 6 (a + 2)$
166839	Factor	4u^2v+16uv^2+16v^3	$4 u^{2} v + 16 u v^{2} + 16 v^{3}$
166840	Simplify	(4 square root of 6)( square root of -5)	$(4 \sqrt{6}) (\sqrt{- 5})$
166841	Solve for x	-4(3/2x-1/2)=-15	$- 4 (\frac{3}{2} x - \frac{1}{2}) = - 15$
166842	Simplify	( square root of a+1-2)/( square root of a+1+2)	$\frac{\sqrt{a + 1} - 2}{\sqrt{a + 1} + 2}$
166843	Simplify	3/2(x+3/4)-(x+1)	$\frac{3}{2} (x + \frac{3}{4}) - (x + 1)$
166844	Solve for x	1-(2x)/(x+4)=-1/(x+4)	$1 - \frac{2 x}{x + 4} = - \frac{1}{x + 4}$
166845	Evaluate	(x^2-1)^2-1	${(x^{2} - 1)}^{2} - 1$
166846	Solve for p	q-2p=p+4	$q - 2 p = p + 4$
166847	Solve for x	3+2x-(x+1)=3x-6	$3 + 2 x - (x + 1) = 3 x - 6$
166848	Solve for x	6((x+1)/8-(2x-3)/16)=3(3/4x-1/4)-3/8(3x-2)	$6 (\frac{x + 1}{8} - \frac{2 x - 3}{16}) = 3 (\frac{3}{4} x - \frac{1}{4}) - \frac{3}{8} (3 x - 2)$
166849	Graph	y=2x+3 and y=-x-4	$y = 2 x + 3$ and $y = - x - 4$
166850	Simplify	i^0i^1i^2i^3i^4	$i^{0} \cdot i^{1} \cdot i^{2} \cdot i^{3} \cdot i^{4}$
166851	Solve for b₁	a=(h(b_1+b_2))/2	$a = \frac{h (b_{1} + b_{2})}{2}$
166852	Solve for u	-2u+6v=9	$- 2 u + 6 v = 9$
166853	Graph	f(x)=2x if x!=0; 1 if x=0	$f (x) = {\begin{cases} 2 x & x \neq 0 \\ 1 & x = 0 \end{cases}$
166854	Simplify	1/4a^3b-3/5a^3b+1/6a^3b	$\frac{1}{4} a^{3} b - \frac{3}{5} a^{3} b + \frac{1}{6} a^{3} b$
166855	Solve the Inequality for p	7p+3(-6p+2)>=7p+9+1	$7 p + 3 (- 6 p + 2) \geq 7 p + 9 + 1$
166856	Simplify	8x+ square root of 1- square root of 9y- square root of 9x^2	$8 x + \sqrt{1} - \sqrt{9 y} - \sqrt{9 x^{2}}$
166857	Find the Exact Value	cos(pi/4)+cos(pi/3)	$\cos (\frac{π}{4}) + \cos (\frac{π}{3})$
166858	Solve for b	4(3b+4)=12b+4	$4 (3 b + 4) = 12 b + 4$
166859	Graph	(negative infinity,2) union (2,infinity)	$(- \infty, 2) \cup (2, \infty)$
166860	Find the First Term	3n-1	$3 n - 1$
166861	Solve the Inequality for x	x^2+7x<=0	$x^{2} + 7 x \leq 0$
166862	Solve for r	-3/2r-1=3/5r+1/2	$- \frac{3}{2} r - 1 = \frac{3}{5} r + \frac{1}{2}$
166863	Solve the Absolute Value Inequality for s	\|2s-7\|>=-1	$\| 2 s - 7 \| \geq - 1$
166864	Simplify	(4(c^-2)^4)/(12c^-1)	$\frac{4 {(c^{- 2})}^{4}}{12 c^{- 1}}$
166865	Graph Using a Table of Values	f(x)=\|x-2\|	$f (x) = \| x - 2 \|$
166866	Evaluate Using the Given Value	3/2y-3+5/3z when y=6 and z=3	$\frac{3}{2} y - 3 + \frac{5}{3} z$ when $y = 6$ and $z = 3$
166867	Solve for x	-2(4x-5)=2X	$- 2 (4 x - 5) = 2 X$
166868	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2+6x+3=0	$4 x^{2} + 6 x + 3 = 0$
166869	Find the LCM	8 and 10	$8$ and $10$
166870	Solve the Inequality for x	x^2+1>0	$x^{2} + 1 > 0$
166871	Graph	(x-2)	$(x - 2)$
166872	Solve by Factoring	81-4x^2=0	$81 - 4 x^{2} = 0$
166873	Find the Roots (Zeros)	f(x)=(x+3)/(2x^2-6)	$f (x) = \frac{x + 3}{2 x^{2} - 6}$
166874	Solve the Inequality for x	-2x^2+12x>18	$- 2 x^{2} + 12 x > 18$
166875	Solve for x	(81^(x+5))/(3^(7x+2))=3^(x-2)	$\frac{81^{x + 5}}{3^{7 x + 2}} = 3^{x - 2}$
166876	Solve for x	(3x)/5=(x+1)/2	$\frac{3 x}{5} = \frac{x + 1}{2}$
166877	Find the Standard Form of the Parabola	4x^2-128y=0	$4 x^{2} - 128 y = 0$
166878	Find the Quadratic Equation Given the Roots	5 and 9	$5$ and $9$
166879	Solve for x	5/3x+4=2/3x	$\frac{5}{3} x + 4 = \frac{2}{3} x$
166880	Find a,b,c	ax^2+bx+c=0	$a x^{2} + b x + c = 0$
166881	Combine Like Terms	-6-2y^2-3+3y-2y^2+4y+6y^2	$- 6 - 2 y^{2} - 3 + 3 y - 2 y^{2} + 4 y + 6 y^{2}$
166882	Graph	x^2+10x>=-24	$x^{2} + 10 x \geq - 24$
166883	Evaluate	(( square root of 2)/2)÷(( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$
166884	Solve the Inequality for s	3s+6<=-5(s+2)	$3 s + 6 \leq - 5 (s + 2)$
166885	Evaluate	-2^2-5^2+6^2	$- 2^{2} - 5^{2} + 6^{2}$
166886	Solve for d	5d-d-2d+8-3d=0	$5 d - d - 2 d + 8 - 3 d = 0$
166887	Solve for x	(49^(4x-1))/(7^(x-6))=7^(8x+3)	$\frac{49^{4 x - 1}}{7^{x - 6}} = 7^{8 x + 3}$
166888	Write in Standard Form	y^2-5x+12y=-16	$y^{2} - 5 x + 12 y = - 16$
166889	Solve for m	-5(-2-8m)=10+5m	$- 5 (- 2 - 8 m) = 10 + 5 m$
166890	Simplify	1/(-2i)	$\frac{1}{- 2 i}$
166891	Simplify	5 square root of 7+ square root of 7-2 square root of 7	$5 \sqrt{7} + \sqrt{7} - 2 \sqrt{7}$
166892	Solve for x	x/2+3+x+9=60	$\frac{x}{2} + 3 + x + 9 = 60$
166893	Simplify	(8*320)^(1/3)	${(8 \cdot 320)}^{\frac{1}{3}}$
166894	Divide	(-9a^2bc^5)/(-3ab^6)	$\frac{- 9 a^{2} b c^{5}}{- 3 a b^{6}}$
166895	Divide	(1/4)/(1/2)	$\frac{\frac{1}{4}}{\frac{1}{2}}$
166896	Solve for x	a/(x+a)=b	$\frac{a}{x + a} = b$
166897	Solve for b	-2.9+b/0.1=-39.9	$- 2.9 + \frac{b}{0.1} = - 39.9$
166898	Solve Using the Quadratic Formula	n^2-n-5=-2n^2	$n^{2} - n - 5 = - 2 n^{2}$
166899	Find the Roots (Zeros)	x^3-x^2-2x=0	$x^{3} - x^{2} - 2 x = 0$
166900	Solve for x	3x-3(x+1)=3	$3 x - 3 (x + 1) = 3$