Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205601	Simplify	(2/5+3/2i)^2	${(\frac{2}{5} + \frac{3}{2} i)}^{2}$
205602	Solve for x	(1/100)^(3x-84)=(1/10)^(-3x^2+3x)	${(\frac{1}{100})}^{3 x - 84} = {(\frac{1}{10})}^{- 3 x^{2} + 3 x}$
205603	Solve for n	-17+12n=18-16+11n	$- 17 + 12 n = 18 - 16 + 11 n$
205604	Simplify	((x^2+2x-24)/(x-3))÷((x+4)/(x-3))	$\frac{x^{2} + 2 x - 24}{x - 3} \div \frac{x + 4}{x - 3}$
205605	Simplify	x-3+2x+3+2x	$x - 3 + 2 x + 3 + 2 x$
205606	Simplify	x square root of 49y^3-y square root of 4x^2y	$x \sqrt{49 y^{3}} - y \sqrt{4 x^{2} y}$
205607	Simplify	(5x^4y^2+20xy^6-10x)÷5xy^2	$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$
205608	Simplify	((4k^2+2k)(5k^2-3))/(6k)	$\frac{(4 k^{2} + 2 k) (5 k^{2} - 3)}{6 k}$
205609	Simplify	(10/3)/(1/6)-(2.8+1.2)	$\frac{\frac{10}{3}}{\frac{1}{6}} - (2.8 + 1.2)$
205610	Solve for x	sin(x)cos(x)=1	$\sin (x) \cos (x) = 1$
205611	Find the Domain and Range	y=5sin(4x-pi)-8	$y = 5 \sin (4 x - π) - 8$
205612	Solve for n	4- square root of 3n=0	$4 - \sqrt{3 n} = 0$
205613	Simplify the Radical Expression	fourth root of 81^3	$\sqrt[4]{81^{3}}$
205614	Solve for x	4=(3+2y)/(10x+3)	$4 = \frac{3 + 2 y}{10 x + 3}$
205615	Graph	y=1/2 square root of x-3	$y = \frac{1}{2} \sqrt{x} - 3$
205616	Determine if a Polynomial	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
205617	Evaluate	g(-x)=x^3	$g (- x) = x^{3}$
205618	Simplify/Condense	5* log of a+1/2* log of b-4* log of c	$5 \cdot \log (a) + \frac{1}{2} \cdot \log (b) - 4 \cdot \log (c)$
205619	Simplify	8(-2/3)	$8 (\frac{- 2}{3})$
205620	Solve for a	square root of 2a+2- square root of 4a-2=0	$\sqrt{2 a + 2} - \sqrt{4 a - 2} = 0$
205621	Convert to Radical Form	(a^2+b^2)^(1/2)	${(a^{2} + b^{2})}^{\frac{1}{2}}$
205622	Simplify	(2(3x)^2)/((3x)^-2)	$\frac{2 {(3 x)}^{2}}{{(3 x)}^{- 2}}$
205623	Simplify	(-3x-7)+(4x+7)	$(- 3 x - 7) + (4 x + 7)$
205624	Simplify	7x^3 cube root of 375x^8y^10	$7 x^{3} \sqrt[3]{375 x^{8} y^{10}}$
205625	Simplify the Radical Expression	7/(7^(1/3))	$\frac{7}{7^{\frac{1}{3}}}$
205626	Simplify	(5+ square root of -1)(2- square root of -36)	$(5 + \sqrt{- 1}) (2 - \sqrt{- 36})$
205627	Solve for x	9^(6x+16)=(1/3)^(2x^2+8x)	$9^{6 x + 16} = {(\frac{1}{3})}^{2 x^{2} + 8 x}$
205628	Find the Roots (Zeros)	x^2+30=-9x	$x^{2} + 30 = - 9 x$
205629	Simplify	( square root of 3+ square root of 7)( square root of 3* square root of 7)	$(\sqrt{3} + \sqrt{7}) (\sqrt{3} \cdot \sqrt{7})$
205630	Simplify	3x(x+2(x+4))	$3 x (x + 2 (x + 4))$
205631	Solve for x	square root of x^2 = square root of 144	$\sqrt{x^{2}} = \sqrt{144}$
205632	Simplify	(sin(u)*cos(u)^2+sin(u)^3)/(sin(u)^2)	$\frac{\sin (u) \cdot \cos^{2} (u) + \sin^{3} (u)}{\sin^{2} (u)}$
205633	Simplify	(x^3)/(x^2+1)+x/(x^2+1)	$\frac{x^{3}}{x^{2} + 1} + \frac{x}{x^{2} + 1}$
205634	Find the Domain and Range	f(x)=4 log base 1/3 of x+2	$f (x) = 4 \log_{\frac{1}{3}} (x + 2)$
205635	Write in Standard Form	y=(2x+4)(x+3)	$y = (2 x + 4) (x + 3)$
205636	Solve for x	64^(18x+70)=(1/8)^(2x^2-2x)	$64^{18 x + 70} = {(\frac{1}{8})}^{2 x^{2} - 2 x}$
205637	Solve for u	(1/5)^(u^2+8)=125^(u^2-3)	${(\frac{1}{5})}^{u^{2} + 8} = 125^{u^{2} - 3}$
205638	Solve for x	x^3+2x^2-23x-60=(x+3)(x+4)(x-5)	$x^{3} + 2 x^{2} - 23 x - 60 = (x + 3) (x + 4) (x - 5)$
205639	Simplify	((125a^3)/(8b^6))^(-2/3)	${(\frac{125 a^{3}}{8 b^{6}})}^{- \frac{2}{3}}$
205640	Graph	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
205641	Simplify	(x+7)/(5x^3)*(15x^2)/(2x+14)	$\frac{x + 7}{5 x^{3}} \cdot \frac{15 x^{2}}{2 x + 14}$
205642	Evaluate	4*(1/2)^2	$4 \cdot {(\frac{1}{2})}^{2}$
205643	Find the Slope and y-intercept	3x+2y=2x+8	$3 x + 2 y = 2 x + 8$
205644	Evaluate the Function	f(x)=x^3-6x+1 for x=6	$f (x) = x^{3} - 6 x + 1$ for $x = 6$
205645	Write in Slope-Intercept Form	3x+2y=2x+8	$3 x + 2 y = 2 x + 8$
205646	Write in Standard Form	(x^2-3x-3)+(2x^2+7x-2)	$(x^{2} - 3 x - 3) + (2 x^{2} + 7 x - 2)$
205647	Solve for x	(0.7x-2.1)-(0.5-2x)=0.9(3x-1)+0.1	$(0.7 x - 2.1) - (0.5 - 2 x) = 0.9 (3 x - 1) + 0.1$
205648	Multiply	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
205649	Simplify	( square root of 12x)÷( fourth root of 3x)	$\sqrt{12 x} \div \sqrt[4]{3 x}$
205650	Simplify	(-3x^7y^-4z^0)^3	${(- 3 x^{7} y^{- 4} z^{0})}^{3}$
205651	Simplify	((2p^5m)^-2)/p	$\frac{{(2 p^{5} m)}^{- 2}}{p}$
205652	Simplify	6a^3-12a^2-(3a)÷3a	$6 a^{3} - 12 a^{2} - 3 a \div 3 a$
205653	Solve for x	\|x-3\|=\|3-x\|	$\| x - 3 \| = \| 3 - x \|$
205654	Simplify	(11^(3/2)*11^(-5/2))^(-1/3)	${(11^{\frac{3}{2}} \cdot 11^{- \frac{5}{2}})}^{- \frac{1}{3}}$
205655	Solve for h	100=( square root of h)/4	$100 = \frac{\sqrt{h}}{4}$
205656	Simplify the Radical Expression	square root of 3x^2y* cube root of 27x^3y^2	$\sqrt{3 x^{2} y} \cdot \sqrt[3]{27 x^{3} y^{2}}$
205657	Simplify	(h^-1*h^-5)^(1/2)	${(h^{- 1} \cdot h^{- 5})}^{\frac{1}{2}}$
205658	Solve for x	2 square root of 9-x- square root of 1-9x=0	$2 \sqrt{9 - x} - \sqrt{1 - 9 x} = 0$
205659	Simplify	2^4*2^5-(2^2)^2	$2^{4} \cdot 2^{5} - {(2^{2})}^{2}$
205660	Simplify	(1/(216^(-2/3)))	$(\frac{1}{216^{- \frac{2}{3}}})$
205661	Simplify	(3/4z)(-8z^3)^2	$(\frac{3}{4} z) {(- 8 z^{3})}^{2}$
205662	Simplify	(-6(14x+3))/(-2(3+14x))	$\frac{- 6 (14 x + 3)}{- 2 (3 + 14 x)}$
205663	Write in Standard Form	(g+5)+(2g+7)	$(g + 5) + (2 g + 7)$
205664	Simplify	2i^3(5-12i)	$2 i^{3} (5 - 12 i)$
205665	Solve by Substitution	-x+2y=2 y=1/2x+1	$- x + 2 y = 2$ $y = \frac{1}{2} x + 1$
205666	Simplify	fifth root of 7* fifth root of 7^2	$\sqrt[5]{7} \cdot \sqrt[5]{7^{2}}$
205667	Solve for x	-4x+5+3x=2-x+3	$- 4 x + 5 + 3 x = 2 - x + 3$
205668	Graph	F(x) = cube root of x+4-4	$F (x) = \sqrt[3]{x + 4} - 4$
205669	Evaluate	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
205670	Solve for x	(2x-8)/x-(2x+9)/(2x)=7/2	$\frac{2 x - 8}{x} - \frac{2 x + 9}{2 x} = \frac{7}{2}$
205671	Find the Excluded Values	(x^2+x-90)/(x^2+2x-80)	$\frac{x^{2} + x - 90}{x^{2} + 2 x - 80}$
205672	Simplify the Radical Expression	10 square root of 10+10 square root of 40	$10 \sqrt{10} + 10 \sqrt{40}$
205673	Evaluate	7 square root of x+1<9	$7 \sqrt{x} + 1 < 9$
205674	Find the Exact Value	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
205675	Solve for x	(2x)/(2x+5)=3/4-7/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{3}{4} - \frac{7}{4 x + 10}$
205676	Convert to Radical Form	(x-7)^(-1/4)	${(x - 7)}^{- \frac{1}{4}}$
205677	Solve by Isolating the Absolute Value for c	a=b(1/c-1/d)	$a = b (\frac{1}{c} - \frac{1}{d})$
205678	Find All Complex Solutions	square root of x=10	$\sqrt{x} = 10$
205679	Simplify	(1-2i)(1+2i)(2+i)	$(1 - 2 i) (1 + 2 i) (2 + i)$
205680	Simplify	( square root of 400x^2y^6)/( square root of 5)	$\frac{\sqrt{400 x^{2} y^{6}}}{\sqrt{5}}$
205681	Convert to a Decimal	-8pirad	$- 8 π$ radians
205682	Solve the Inequality for A	(A+4)/2>16	$\frac{A + 4}{2} > 16$
205683	Solve for y	5(x+y)=-2	$5 (x + y) = - 2$
205684	Solve for x	(15x)/16+1/8(16+x)=87	$\frac{15 x}{16} + \frac{1}{8} (16 + x) = 87$
205685	Simplify	(3 square root of 5-2 square root of 3)(2+ square root of 3)	$(3 \sqrt{5} - 2 \sqrt{3}) (2 + \sqrt{3})$
205686	Evaluate	-(57)^0+(1/2)^-2-1^5	$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$
205687	Write in Standard Form	3-5(3a+6)	$3 - 5 (3 a + 6)$
205688	Solve the Absolute Value Inequality for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
205689	Solve the Inequality for x	-1<=(2x+3)/3<4	$- 1 \leq \frac{2 x + 3}{3} < 4$
205690	Simplify	8h+(-7.3d)-14+5d-3.2h	$8 h + (- 7.3 d) - 14 + 5 d - 3.2 h$
205691	Solve the System of Equations	3x+3=3y 2x-6y=2	$3 x + 3 = 3 y$ $2 x - 6 y = 2$
205692	Graph	4k-16<k+2	$4 k - 16 < k + 2$
205693	Solve the Inequality for r	r-7>-10	$r - 7 > - 10$
205694	Write in Exponential Form	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
205695	Solve for x	x^4+2x^3-4x^2+x=0	$x^{4} + 2 x^{3} - 4 x^{2} + x = 0$
205696	Solve the Inequality for x	3\|2x+7\|-7<-4	$3 \| 2 x + 7 \| - 7 < - 4$
205697	Simplify	(1/(125^(2/3)))	$(\frac{1}{125^{\frac{2}{3}}})$
205698	Simplify	10^(1/4)*10^(-1/4)	$10^{\frac{1}{4}} \cdot 10^{- \frac{1}{4}}$
205699	Solve the Inequality for x	x+4-x/3<(2x)/3	$x + 4 - \frac{x}{3} < \frac{2 x}{3}$
205700	Find the Product	(x^m-1)(x^(2m)+x^m+1)	$(x^{m} - 1) (x^{2 m} + x^{m} + 1)$