Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201001	Simplify	3 square root of ab*2 fourth root of ab	$3 \sqrt{a b} \cdot 2 \sqrt[4]{a b}$
201002	Solve for n	square root of -1-n = square root of 2n+17	$\sqrt{- 1 - n} = \sqrt{2 n + 17}$
201003	Evaluate	5(24^(1/3))-4*3^(1/3)	$5 (24^{\frac{1}{3}}) - 4 \cdot 3^{\frac{1}{3}}$
201004	Solve for f	5+2f=-3f-15	$5 + 2 f = - 3 f - 15$
201005	Solve for x	(e^(3x+2))/(e^x)=1	$\frac{e^{3 x + 2}}{e^{x}} = 1$
201006	Write in Standard Form	y+4=3(3x+3)	$y + 4 = 3 (3 x + 3)$
201007	Solve for f	20-f=19f-20	$20 - f = 19 f - 20$
201008	Evaluate	(2+- square root of 4-(4)6-5)/12	$\frac{2 + - \sqrt{4 - (4) \cdot 6 \cdot - 5}}{12}$
201009	Simplify	(x^4y^0)/(x^-2)	$\frac{x^{4} y^{0}}{x^{- 2}}$
201010	Solve for x	1/2x+1/3x-7=5/6x	$\frac{1}{2} x + \frac{1}{3} x - 7 = \frac{5}{6} x$
201011	Rationalize the Denominator	( square root of 3+5)/(2 square root of 3)	$\frac{\sqrt{3} + 5}{2 \sqrt{3}}$
201012	Solve for x	5x(3x+4)-6x(2x-7)=3x(x+10)+4(4x+8)	$5 x (3 x + 4) - 6 x (2 x - 7) = 3 x (x + 10) + 4 (4 x + 8)$
201013	Simplify	(3i-1)/(2i-1)	$\frac{3 i - 1}{2 i - 1}$
201014	Simplify	(2/(3+x))/(4(y+1))	$\frac{\frac{2}{3 + x}}{4 (y + 1)}$
201015	Solve for x	3=2/(7+x)	$3 = \frac{2}{7 + x}$
201016	Simplify	(-x^2+9xy)-(x^2+6xy-8y^2)	$(- x^{2} + 9 x y) - (x^{2} + 6 x y - 8 y^{2})$
201017	Graph	y>-5/2x-2 y<-2	$y > - \frac{5}{2} x - 2$ $y < - 2$
201018	Simplify	(3/4x^2)(4/5x^5)	$(\frac{3}{4} x^{2}) (\frac{4}{5} x^{5})$
201019	Simplify	(16x+8)/(-24x-12)	$\frac{16 x + 8}{- 24 x - 12}$
201020	Find the Inverse	f(x)=(x/3)^3+6	$f (x) = {(\frac{x}{3})}^{3} + 6$
201021	Multiply	(3y-5)(2y-7)(4y+1)	$(3 y - 5) (2 y - 7) (4 y + 1)$
201022	Solve for x	2 square root of x-4=- square root of x-1+4	$2 \sqrt{x - 4} = - \sqrt{x - 1} + 4$
201023	Solve for x	x(8x^2-6x+3)-2x(4x^2-1)=-6x(x+5)+5(3x+4)	$x (8 x^{2} - 6 x + 3) - 2 x (4 x^{2} - 1) = - 6 x (x + 5) + 5 (3 x + 4)$
201024	Solve for d	l=54 square root of d^3	$l = 54 \sqrt{d^{3}}$
201025	Solve for x	3\|x+2\|>x+5	$3 \| x + 2 \| > x + 5$
201026	Solve for s	-13-16s=-15s-1	$- 13 - 16 s = - 15 s - 1$
201027	Solve the System of Inequalities	-2x-3<=y y-1<1/2x	$- 2 x - 3 \leq y$ $y - 1 < \frac{1}{2} x$
201028	Simplify	square root of cube root of 8000	$\sqrt{\sqrt[3]{8000}}$
201029	Evaluate	x^5=-48	$x^{5} = - 48$
201030	Simplify	4/9a(18b-9c+27)	$\frac{4}{9} a (18 b - 9 c + 27)$
201031	Solve for n	log base 4 of 1/4=n/8	$\log_{4} (\frac{1}{4}) = \frac{n}{8}$
201032	Solve for c	6.95+8c=24.95	$6.95 + 8 c = 24.95$
201033	Simplify	2/(5x^4)+x/3	$\frac{2}{5 x^{4}} + \frac{x}{3}$
201034	Simplify	( cube root of 625x^10y^7z^11)/( cube root of 5x^2yz^5)	$\frac{\sqrt[3]{625 x^{10} y^{7} z^{11}}}{\sqrt[3]{5 x^{2} y z^{5}}}$
201035	Simplify the Radical Expression	7 cube root of 3+2 cube root of 192	$7 \sqrt[3]{3} + 2 \sqrt[3]{192}$
201036	Factor	ac^2-ad+c^3-cd-bc^2+bd	$a c^{2} - a d + c^{3} - c d - b c^{2} + b d$
201037	Evaluate	((1-3)^2-14)/( square root of 16-20÷2+9)	$\frac{{(1 - 3)}^{2} - 14}{\sqrt{16} - 20 \div 2 + 9}$
201038	Solve for b	3/(b-1)=9/15	$\frac{3}{b - 1} = \frac{9}{15}$
201039	Simplify	(x-y^2)^6	${(x - y^{2})}^{6}$
201040	Solve for a	b=1/2 cube root of a-1	$b = \frac{1}{2} \sqrt[3]{a - 1}$
201041	Simplify the Radical Expression	(16^3)^(1/2)	${(16^{3})}^{\frac{1}{2}}$
201042	Simplify	(a^(3m-6))^(2/3)	${(a^{3 m - 6})}^{\frac{2}{3}}$
201043	Evaluate the Function	f(n)=10*2^n at n=-2	$f (n) = 10 \cdot 2^{n}$ at $n = - 2$
201044	Simplify the Radical Expression	(6 square root of 5)/(5 square root of 3)	$\frac{6 \sqrt{5}}{5 \sqrt{3}}$
201045	Solve for c	2c-3=2(6-c)+7c	$2 c - 3 = 2 (6 - c) + 7 c$
201046	Solve for x	log base x of x+2=2	$\log_{x} (x + 2) = 2$
201047	Find the Roots (Zeros)	S(r)=r^5+5r^4-7r^3-43r^2-8r-48	$S (r) = r^{5} + 5 r^{4} - 7 r^{3} - 43 r^{2} - 8 r - 48$
201048	Find the Roots (Zeros)	x^2+x(6-2x)=(x-1)(2-x)-2	$x^{2} + x (6 - 2 x) = (x - 1) (2 - x) - 2$
201049	Simplify	(g^3-h)(g^3+h)	$(g^{3} - h) (g^{3} + h)$
201050	Solve for x	fourth root of 2x=4	$\sqrt[4]{2 x} = 4$
201051	Simplify	(6/(5^2))^3	${(\frac{6}{5^{2}})}^{3}$
201052	Simplify	(b^3-8)/(b^2-9)*(b+3)/(b^2+2b+4)	$\frac{b^{3} - 8}{b^{2} - 9} \cdot \frac{b + 3}{b^{2} + 2 b + 4}$
201053	Graph	yy<-2x-5	$y \cdot y < - 2 x - 5$
201054	Simplify	(5^2y^-10)/(5^-1z^0x^-5)	$\frac{5^{2} y^{- 10}}{5^{- 1} z^{0} x^{- 5}}$
201055	Simplify	y(y+4)-y(y-3)-9y	$y (y + 4) - y (y - 3) - 9 y$
201056	Simplify	(3x^(-1/2)*3x^(1/2)y^(-1/3))/(3y^(-7/4))	$\frac{3 x^{- \frac{1}{2}} \cdot 3 x^{\frac{1}{2}} y^{- \frac{1}{3}}}{3 y^{- \frac{7}{4}}}$
201057	Simplify	(80^(1/4))/(5^(-1/4))	$\frac{80^{\frac{1}{4}}}{5^{- \frac{1}{4}}}$
201058	Simplify	t/(2t+6)	$\frac{t}{2 t + 6}$
201059	Solve for v	7(-v-2)=-6v	$7 (- v - 2) = - 6 v$
201060	Simplify	cube root of 216/24	$\sqrt[3]{\frac{216}{24}}$
201061	Simplify	( cube root of 3)÷( square root of 3)	$\sqrt[3]{3} \div \sqrt{3}$
201062	Solve for t	s=(3r)/(t-1)	$s = \frac{3 r}{t - 1}$
201063	Simplify	3/7((1-2x)/8)	$\frac{3}{7} (\frac{1 - 2 x}{8})$
201064	Subtract	x/(x^2-64)-7/(4x^2+32x)	$\frac{x}{x^{2} - 64} - \frac{7}{4 x^{2} + 32 x}$
201065	Simplify	((a^5)/(a^4))^2	${(\frac{a^{5}}{a^{4}})}^{2}$
201066	Solve for b	3(-3b+10)=-6b-10+5b	$3 (- 3 b + 10) = - 6 b - 10 + 5 b$
201067	Simplify	(3^5x^3)/(3^2x^3)	$\frac{3^{5} x^{3}}{3^{2} x^{3}}$
201068	Simplify	4( square root of 3+ square root of 7)	$4 (\sqrt{3} + \sqrt{7})$
201069	Graph	f(x)=-1/2sin(x)	$f (x) = - \frac{1}{2} \sin (x)$
201070	Solve for x	1/(3x-2)+1=3/(3x+2)	$\frac{1}{3 x - 2} + 1 = \frac{3}{3 x + 2}$
201071	Solve for a	square root of 41-8a+7=a	$\sqrt{41 - 8 a} + 7 = a$
201072	Write in Slope-Intercept Form	-3x+y>-5	$- 3 x + y > - 5$
201073	Solve the System of Equations	2x-3y+z=-19 5x+y-z=-7 -x+6y-z=35	$2 x - 3 y + z = - 19$ $5 x + y - z = - 7$ $- x + 6 y - z = 35$
201074	Solve the System of Inequalities	-7x+1>=22 or -10x+41>=81	$- 7 x + 1 \geq 22$ or $- 10 x + 41 \geq 81$
201075	Simplify	square root of (64x^3y)/(2x^4)	$\sqrt{\frac{64 x^{3} y}{2 x^{4}}}$
201076	Simplify	(ax+ay)/(xy^2)*(x^2y)/(3x+3y)	$\frac{a x + a y}{x y^{2}} \cdot \frac{x^{2} y}{3 x + 3 y}$
201077	Simplify	(a^2-1)/(a^3+1)*(a^2-a+1)/(a^2+2a+1)	$\frac{a^{2} - 1}{a^{3} + 1} \cdot \frac{a^{2} - a + 1}{a^{2} + 2 a + 1}$
201078	Solve for x	((3^x)^(1/2))/(3^(1/2))=3	$\frac{{(3^{x})}^{\frac{1}{2}}}{3^{\frac{1}{2}}} = 3$
201079	Simplify	(5^(2/3)*2^(3/2))^(1/2)	${(5^{\frac{2}{3}} \cdot 2^{\frac{3}{2}})}^{\frac{1}{2}}$
201080	Simplify	(3+i square root of 64)-(2+i square root of 4)	$(3 + i \sqrt{64}) - (2 + i \sqrt{4})$
201081	Simplify	(v^2-49)/(20v^3)*(4v^2-24v)/(v^2+v-42)	$\frac{v^{2} - 49}{20 v^{3}} \cdot \frac{4 v^{2} - 24 v}{v^{2} + v - 42}$
201082	Graph	x<=y-4	$x \leq y - 4$
201083	Evaluate	(8+2)-(9-2^2)	$(8 + 2) - (9 - 2^{2})$
201084	Simplify	(27x^2z^6)/(-3x^2z)	$\frac{27 x^{2} z^{6}}{- 3 x^{2} z}$
201085	Graph	P(x)=(x-5)(x-2)(x)	$P (x) = (x - 5) (x - 2) (x)$
201086	Solve for u	1.8+0.2u=-0.1u	$1.8 + 0.2 u = - 0.1 u$
201087	Solve for x	(x+7)^3+8=16	${(x + 7)}^{3} + 8 = 16$
201088	Simplify	( square root of 45b+4 square root of 20b-2 square root of 125b)	$(\sqrt{45 b} + 4 \sqrt{20 b} - 2 \sqrt{125 b})$
201089	Simplify the Radical Expression	9 cube root of 11+3 cube root of 11	$9 \sqrt[3]{11} + 3 \sqrt[3]{11}$
201090	Evaluate	3^(3^(3^3))	$3^{3^{3^{3}}}$
201091	Simplify	7^(1/4)*7^(1/2)	$7^{\frac{1}{4}} \cdot 7^{\frac{1}{2}}$
201092	Find the Product	(2p-3q^2)^3	${(2 p - 3 q^{2})}^{3}$
201093	Graph	y=6x y=8x-2	$y = 6 x$ $y = 8 x - 2$
201094	Solve for n	6(5n-6)-10=10-3n+10	$6 (5 n - 6) - 10 = 10 - 3 n + 10$
201095	Simplify	2 square root of 32a^3b^5* square root of 8a^7b^2	$2 \sqrt{32 a^{3} b^{5}} \cdot \sqrt{8 a^{7} b^{2}}$
201096	Simplify	(5x)/(2(x-3))+2/(x-3)	$\frac{5 x}{2 (x - 3)} + \frac{2}{x - 3}$
201097	Solve the Absolute Value Inequality for b	\|b+3\|-1=2	$\| b + 3 \| - 1 = 2$
201098	Simplify	1/4g^2(8g+12h-16gh^2)	$\frac{1}{4} g^{2} (8 g + 12 h - 16 g h^{2})$
201099	Simplify	square root of 5x^8y^2* square root of 10xy^3	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x y^{3}}$
201100	Simplify	square root of 49(x+2y)^10	$\sqrt{49 {(x + 2 y)}^{10}}$