Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12601	Simplify	(b^(1/4)c^(-1/3))(b^(3/4)c^(-5/3))	$(b^{\frac{1}{4}} c^{- \frac{1}{3}}) (b^{\frac{3}{4}} c^{- \frac{5}{3}})$
12602	Simplify	(b^6c^2)(b^5c)	$(b^{6} c^{2}) (b^{5} c)$
12603	Simplify	(-m^2-m+1)(m+1)	$(- m^{2} - m + 1) (m + 1)$
12604	Simplify	m^3-2m^2+m-6+(m+12)-(3m^2-5m)	$m^{3} - 2 m^{2} + m - 6 + (m + 12) - (3 m^{2} - 5 m)$
12605	Simplify	( square root of 3x-1)*1/x	$(\sqrt{3 x - 1}) \cdot \frac{1}{x}$
12606	Simplify	(v^2+4v^2-v^4)-(5v^3-5v^4+3v)	$(v^{2} + 4 v^{2} - v^{4}) - (5 v^{3} - 5 v^{4} + 3 v)$
12607	Simplify	(x^(1/4)+y^(1/4))(x^(1/4)-y^(1/4))	$(x^{\frac{1}{4}} + y^{\frac{1}{4}}) (x^{\frac{1}{4}} - y^{\frac{1}{4}})$
12608	Simplify	9p^9	$9 p^{9}$
12609	Simplify	x^2+10x+30	$x^{2} + 10 x + 30$
12610	Simplify	(x^2-2)(17-x)	$(x^{2} - 2) (17 - x)$
12611	Simplify	(x^2-3x-4)-(x^2-7x+6)	$(x^{2} - 3 x - 4) - (x^{2} - 7 x + 6)$
12612	Simplify	x^2-7xy+9y^2+(9x^2-9xy-y^2)+(-3x^2+xy-y^2)	$x^{2} - 7 x y + 9 y^{2} + (9 x^{2} - 9 x y - y^{2}) + (- 3 x^{2} + x y - y^{2})$
12613	Simplify	(x^2y+x^2)dx+(y^2x-y^2)dy+0	$(x^{2} y + x^{2}) d x + (y^{2} x - y^{2}) d y + 0$
12614	Simplify	(x^x)s	$(x^{x}) s$
12615	Simplify	027/125+154/125+236/125+38/125	$0 \cdot \frac{27}{125} + 1 \cdot \frac{54}{125} + 2 \cdot \frac{36}{125} + 3 \cdot \frac{8}{125}$
12616	Simplify	(0.92J)((1(ev))/(1.6^-19J))1/(0.000124ev)	$(0.92 J) \cdot (\frac{1 (e v)}{{1.6}^{- 19} J}) \cdot \frac{1}{0.000124 e v}$
12617	Simplify	(1.3x^3+4.8x^2-3.5x)-0.08(2x^3-7x^2+3)	$(1.3 x^{3} + 4.8 x^{2} - 3.5 x) - 0.08 (2 x^{3} - 7 x^{2} + 3)$
12618	Simplify	(1+2i)-(-8-i)	$(1 + 2 i) - (- 8 - i)$
12619	Simplify	-10x^2+11x-4+(4x^2-6x+10)	$- 10 x^{2} + 11 x - 4 + (4 x^{2} - 6 x + 10)$
12620	Simplify	(1381)(31/360)r	$(1381) (\frac{31}{360}) r$
12621	Find the Inverse	[[-5,-4],[4,3]]	$[\begin{array}{c} - 5 & - 4 \\ 4 & 3 \end{array}]$
12622	Simplify	6 permute 4	${}_{6}P_{4}$
12623	Simplify	(3x-12)/(4-1)	$\frac{3 x - 12}{4 - 1}$
12624	Simplify	((7^-9)(5^-3))*10	$((7^{- 9}) (5^{- 3})) \cdot 10$
12625	Simplify	(0.5x+0.3)(x+0.6)	$(0.5 x + 0.3) (x + 0.6)$
12626	Simplify	((a^2-7ab-18b^2)/(-a+9b))*((3a-6b)/(a^2-4b^2))	$(\frac{a^{2} - 7 a b - 18 b^{2}}{- a + 9 b}) \cdot (\frac{3 a - 6 b}{a^{2} - 4 b^{2}})$
12627	Simplify	((n^2+3n-18)/(n^2-36))*((1-4n^2)/(2n^2-5n-3))	$(\frac{n^{2} + 3 n - 18}{n^{2} - 36}) \cdot (\frac{1 - 4 n^{2}}{2 n^{2} - 5 n - 3})$
12628	Simplify	((a+bi)-1)/((a+bi)+1)	$\frac{(a + b i) - 1}{(a + b i) + 1}$
12629	Simplify	(e^(ix))/(i+e^(ix))	$\frac{e^{i x}}{i + e^{i x}}$
12630	Simplify	((u^-3)/(z^2))(-2x^3uz^2)^-3	$(\frac{u^{- 3}}{z^{2}}) {(- 2 x^{3} u z^{2})}^{- 3}$
12631	Simplify	((x^2-1)/(x^2-x)-1)(2x^2-x)	$(\frac{x^{2} - 1}{x^{2} - x} - 1) (2 x^{2} - x)$
12632	Simplify	1/500(397-x)+2/500(272-x)+5/500(97-x)+492/500(-x)	$\frac{1}{500} \cdot (397 - x) + \frac{2}{500} \cdot (272 - x) + \frac{5}{500} \cdot (97 - x) + \frac{492}{500} \cdot (- x)$
12633	Simplify	12/2210/219/208/197/18+10/229/218/207/196/18	$\frac{12}{22} \cdot \frac{10}{21} \cdot \frac{9}{20} \cdot \frac{8}{19} \cdot \frac{7}{18} + \frac{10}{22} \cdot \frac{9}{21} \cdot \frac{8}{20} \cdot \frac{7}{19} \cdot \frac{6}{18}$
12634	Simplify	(13/5)a^2+(17/9)a-11/10a^2-5a+(10/9)a	$(\frac{13}{5}) a^{2} + (\frac{17}{9}) a - \frac{11}{10} a^{2} - 5 a + (\frac{10}{9}) a$
12635	Simplify	(3m^-2n^-4p^-1)/(9mn^-6p^-3)	$\frac{3 m^{- 2} n^{- 4} p^{- 1}}{9 m n^{- 6} p^{- 3}}$
12636	Simplify	(3x^-1y)/(2^-1z^2)	$\frac{3 x^{- 1} y}{2^{- 1} z^{2}}$
12637	Simplify	(3x^4y(4x^3y^2))/(2xy^-1)	$\frac{3 x^{4} y (4 x^{3} y^{2})}{2 x y^{- 1}}$
12638	Simplify	(3/4r-2/3s)(5/4r+1/3s)	$(\frac{3}{4} r - \frac{2}{3} s) (\frac{5}{4} r + \frac{1}{3} s)$
12639	Simplify	(3/(4x))-(1/7)	$(\frac{3}{4 x}) - (\frac{1}{7})$
12640	Simplify	-3x^3+x-5+(-2x^3+x^2+x)	$- 3 x^{3} + x - 5 + (- 2 x^{3} + x^{2} + x)$
12641	Simplify	((3x-6)/(7x+14))((10x+20)/(14x-28))	$(\frac{3 x - 6}{7 x + 14}) (\frac{10 x + 20}{14 x - 28})$
12642	Simplify	(5m^2n^3)/(n^2)	$\frac{5 m^{2} n^{3}}{n^{2}}$
12643	Solve for y	-5x+10y=20	$- 5 x + 10 y = 20$
12644	Solve for y	5x-3y+15=0	$5 x - 3 y + 15 = 0$
12645	Solve for y	5y-6y-12=0	$5 y - 6 y - 12 = 0$
12646	Solve for y	6x+ square root of y-7=0	$6 x + \sqrt{y} - 7 = 0$
12647	Solve for y	7+y=23	$7 + y = 23$
12648	Solve for y	7x+y=25	$7 x + y = 25$
12649	Solve for y	7y-8x=0	$7 y - 8 x = 0$
12650	Solve for y	-8x-2y=5	$- 8 x - 2 y = 5$
12651	Solve for y	8y-3=11y+9	$8 y - 3 = 11 y + 9$
12652	Solve for y	9y=81	$9 y = 81$
12653	Solve for y	Jx+Ky=L	$J x + K y = L$
12654	Solve for y	p=5x+5y	$p = 5 x + 5 y$
12655	Solve for y	r=- square root of x^2+y^2	$r = - \sqrt{x^{2} + y^{2}}$
12656	Solve for y	x+16y=9	$x + 16 y = 9$
12657	Solve for y	x+2y=13	$x + 2 y = 13$
12658	Solve for y	x+5y=36	$x + 5 y = 36$
12659	Solve for y	y+3.5=14.9	$y + 3.5 = 14.9$
12660	Solve for y	y+5(4^2)=3	$y + 5 (4^{2}) = 3$
12661	Solve for y	y=e^xsin(2x)	$y = e^{x} \sin (2 x)$
12662	Solve for y	y=(1+0.08/360)^360-1	$y = {(1 + \frac{0.08}{360})}^{360} - 1$
12663	Solve for y	y=1/3x-5	$y = \frac{1}{3} x - 5$
12664	Solve for y	y=1/4*(x+3)^3-5	$y = \frac{1}{4} \cdot {(x + 3)}^{3} - 5$
12665	Solve for y	y=324/5	$y = \frac{324}{5}$
12666	Solve for y	y=5/8+5/2	$y = \frac{5}{8} + \frac{5}{2}$
12667	Solve for y	y=x^2-4x-5	$y = x^{2} - 4 x - 5$
12668	Solve for y	y=x^2-6x+3	$y = x^{2} - 6 x + 3$
12669	Solve for y	y=y^4-8y^2+16	$y = y^{4} - 8 y^{2} + 16$
12670	Solve for y	y=0.5*22+19.5	$y = 0.5 \cdot 22 + 19.5$
12671	Solve for y	y=0.6x+4	$y = 0.6 x + 4$
12672	Solve for y	y=1.4(0)-3.6	$y = 1.4 (0) - 3.6$
12673	Solve for y	y=2000(2^(-0.2*10))	$y = 2000 (2^{- 0.2 \cdot 10})$
12674	Solve for y	y=27000(10)+63000	$y = 27000 (10) + 63000$
12675	Solve for y	y=-2x-5	$y = - 2 x - 5$
12676	Solve for y	y=-3t^2+9t+30	$y = - 3 t^{2} + 9 t + 30$
12677	Simplify	4x^6-4x^4	$4 x^{6} - 4 x^{4}$
12678	Simplify	4xy^2*(0^4(-y)^-3)	$4 x y^{2} \cdot (0^{4} {(- y)}^{- 3})$
12679	Simplify	4y^2-4y-224	$4 y^{2} - 4 y - 224$
12680	Simplify	4y^2-8y	$4 y^{2} - 8 y$
12681	Simplify	40(49)+51(14)	$40 (49) + 51 (14)$
12682	Simplify	40*40	$40 \cdot 40$
12683	Simplify	40p^5q+15p^4q^5+35p^2q^2	$40 p^{5} q + 15 p^{4} q^{5} + 35 p^{2} q^{2}$
12684	Simplify	400e^(-0.244t)	$400 e^{- 0.244 t}$
12685	Simplify	40320*24	$40320 \cdot 24$
12686	Simplify	4-3(2-(9y-8))	$4 - 3 (2 - (9 y - 8))$
12687	Simplify	4300(1+0.039/12)^12 8/12	$4300 {(1 + \frac{0.039}{12})}^{12 \frac{8}{12}}$
12688	Simplify	4-8i	$4 - 8 i$
12689	Simplify	49x^2-4	$49 x^{2} - 4$
12690	Simplify	4c-3(c-8)=47	$4 c - 3 (c - 8) = 47$
12691	Simplify	4i+(17-3i)	$4 i + (17 - 3 i)$
12692	Simplify	4l-10=70	$4 l - 10 = 70$
12693	Simplify	4t-5*(2t)-3	$4 t - 5 \cdot (2 t) - 3$
12694	Simplify	3x^2+17x+10	$3 x^{2} + 17 x + 10$
12695	Simplify	3x^2+8x+4	$3 x^{2} + 8 x + 4$
12696	Simplify	3x^2+9xh+3h^2-2x-2h+6-3x^2+2x-6	$3 x^{2} + 9 x h + 3 h^{2} - 2 x - 2 h + 6 - 3 x^{2} + 2 x - 6$
12697	Simplify	3x^2y(x^3y-2xz^3-14p^2q^4)	$3 x^{2} y (x^{3} y - 2 x z^{3} - 14 p^{2} q^{4})$
12698	Simplify	3x^6n^3-5m^6n^3	$3 x^{6} n^{3} - 5 m^{6} n^{3}$
12699	Simplify	3y^3u^7(2u^3)(4y)	$3 y^{3} u^{7} \cdot (2 u^{3}) \cdot (4 y)$
12700	Simplify	-3+ square root of 16-4x	$- 3 + \sqrt{16 - 4 x}$