Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209601	Solve by Graphing	y=3x-3 x+y=5	$y = 3 x - 3$ $x + y = 5$
209602	Simplify	(x^2-3x^3+6x-2)+(5x-4x^2-4)	$(x^{2} - 3 x^{3} + 6 x - 2) + (5 x - 4 x^{2} - 4)$
209603	Evaluate	square root of -3^2+-4^2	$\sqrt{- 3^{2} + - 4^{2}}$
209604	Graph	y<=-x-4 -x-y<=-4	$y \leq - x - 4$ $- x - y \leq - 4$
209605	Evaluate	(1.010^-15)/(4.210^-7)	$\frac{1 \times 10^{- 15}}{4.2 \times 10^{- 7}}$
209606	Solve for x	(-9x-54)^(1/3)=-2x+3	${(- 9 x - 54)}^{\frac{1}{3}} = - 2 x + 3$
209607	Find the Equation Using Slope-Intercept Form	point: (9,3) ; slope: 4/9	point: $(9, 3)$ ; slope: $\frac{4}{9}$
209608	Solve the System of Equations	y = square root of x-7 y=-x-1	$y = \sqrt{x} - 7$ $y = - x - 1$
209609	Simplify the Radical Expression	fourth root of 64x^4y^16	$\sqrt[4]{64 x^{4} y^{16}}$
209610	Solve for x	(2 square root of x)/3+1=7	$\frac{2 \sqrt{x}}{3} + 1 = 7$
209611	Solve for y	x+y=9 x=5	$x + y = 9$ $x = 5$
209612	Simplify/Condense	2/3* log base 2 of 27+5/2* log base 2 of 4	$\frac{2}{3} \cdot \log_{2} (27) + \frac{5}{2} \cdot \log_{2} (4)$
209613	Find the Exact Value	cos(90 degrees )+cot(45 degrees )	$\cos (90 °) + \cot (45 °)$
209614	Simplify	-7x-9 from -4x^2+3x-5	$- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$
209615	Simplify	3/(3-2 square root of 3)	$\frac{3}{3 - 2 \sqrt{3}}$
209616	Solve for x	square root of 9x-3 = square root of x+14	$\sqrt{9 x} - 3 = \sqrt{x + 14}$
209617	Solve for h	1.8=2.1h-5.7-4.6h	$1.8 = 2.1 h - 5.7 - 4.6 h$
209618	Solve for n	9(2n+5)-12=51	$9 (2 n + 5) - 12 = 51$
209619	Simplify	cube root of (24x^3)/(36x)	$\sqrt[3]{\frac{24 x^{3}}{36 x}}$
209620	Solve for n	-646=-3(65-n)^(3/2)+2	$- 646 = - 3 {(65 - n)}^{\frac{3}{2}} + 2$
209621	Find the Exact Value	tan(pi/3)+cos((5pi)/6)*sin(-(3pi)/4)	$\tan (\frac{π}{3}) + \cos (\frac{5 π}{6}) \cdot \sin (- \frac{3 π}{4})$
209622	Find the Degree, Leading Term, and Leading Coefficient	P(x)=-4x^3+10x^2+1	$P (x) = - 4 x^{3} + 10 x^{2} + 1$
209623	Simplify the Radical Expression	(2x)1/4	$(2 x) \frac{1}{4}$
209624	Write in Standard Form	3x+2x^2-4x+3x^2-5x	$3 x + 2 x^{2} - 4 x + 3 x^{2} - 5 x$
209625	Simplify	-7/(-4+ square root of 5)	$\frac{- 7}{- 4 + \sqrt{5}}$
209626	Simplify	(9x-36)/(x^2+7x-18)	$\frac{9 x - 36}{x^{2} + 7 x - 18}$
209627	Simplify	7 square root of 3yz*4 square root of 24yz	$7 \sqrt{3 y z} \cdot 4 \sqrt{24 y z}$
209628	Simplify	(x^2-2x+2)/(x+4)+(2x-18)/(x+4)	$\frac{x^{2} - 2 x + 2}{x + 4} + \frac{2 x - 18}{x + 4}$
209629	Solve for x	x^(3/2)-8=0	$x^{\frac{3}{2}} - 8 = 0$
209630	Simplify	cos(y)csc(pi/2-y)	$\cos (y) \csc (\frac{π}{2} - y)$
209631	Simplify	cube root of 3/(5a^4)	$\sqrt[3]{\frac{3}{5 a^{4}}}$
209632	Simplify	33 root of 1/(u^-3*u^-8)	$\sqrt[33]{\frac{1}{u^{- 3} \cdot u^{- 8}}}$
209633	Graph	x^2+y^2=2^2	$x^{2} + y^{2} = 2^{2}$
209634	Write in Standard Form	(1+2i)/( square root of 2+i)	$\frac{1 + 2 i}{\sqrt{2} + i}$
209635	Solve for z	5/4(20z+12)=-35	$\frac{5}{4} (20 z + 12) = - 35$
209636	Simplify	2^3(2m)^2	$2^{3} {(2 m)}^{2}$
209637	Solve for y	square root of 2y=10	$\sqrt{2 y} = 10$
209638	Solve for x	(x+6)/(x+3)=2-(5x+12)/(x+3)	$\frac{x + 6}{x + 3} = 2 - \frac{5 x + 12}{x + 3}$
209639	Find the Degree, Leading Term, and Leading Coefficient	g(n)=-(3n-1)(2n+1)	$g (n) = - (3 n - 1) (2 n + 1)$
209640	Solve for x	11/20=55/(20x)	$\frac{11}{20} = \frac{55}{20 x}$
209641	Simplify	a^-3b^2(ba^3+b^-1a^2+b^-2a)	$a^{- 3} b^{2} (b a^{3} + b^{- 1} a^{2} + b^{- 2} a)$
209642	Simplify	(p-q)/(p^3q^2)-(p+q)/(p^2q^3)	$\frac{p - q}{p^{3} q^{2}} - \frac{p + q}{p^{2} q^{3}}$
209643	Simplify	(12x^3-16x^2y+3xy^2+9y^2)(2x^-3y)^-1	$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{- 3} y)}^{- 1}$
209644	Simplify	3/( square root of x+ square root of 5)	$\frac{3}{\sqrt{x} + \sqrt{5}}$
209645	Evaluate	( square root of 3/2)^2	${(\sqrt{\frac{3}{2}})}^{2}$
209646	Solve for a	a = square root of 4a+5	$a = \sqrt{4 a + 5}$
209647	Simplify	(2+ square root of 14)/( square root of 7+ square root of 2)	$\frac{2 + \sqrt{14}}{\sqrt{7} + \sqrt{2}}$
209648	Find the Product	3x(5x^2-x+4)	$3 x (5 x^{2} - x + 4)$
209649	Factor	112a^2c-112yk+392a^2k-32yc	$112 a^{2} c - 112 y k + 392 a^{2} k - 32 y c$
209650	Find the Equation Given the Roots	-i square root of 7	$- i \sqrt{7}$
209651	Solve for x	(x+2)/x=(x-1)/2	$\frac{x + 2}{x} = \frac{x - 1}{2}$
209652	Factor	h=-16t^2+16t+32	$h = - 16 t^{2} + 16 t + 32$
209653	Solve for k	k=13(3)-2	$k = 13 (3) - 2$
209654	Find the Exact Value	log base 3 of 54- log base 3 of 8/15+ log base 3 of 4/5	$\log_{3} (54) - \log_{3} (\frac{8}{15}) + \log_{3} (\frac{4}{5})$
209655	Simplify the Radical Expression	fourth root of 8a^3b* fourth root of 10a^2b^7	$\sqrt[4]{8 a^{3} b} \cdot \sqrt[4]{10 a^{2} b^{7}}$
209656	Solve for v	5/14v-3/7=2/7	$\frac{5}{14} v - \frac{3}{7} = \frac{2}{7}$
209657	Simplify	(-5a^4-7a^6+3)+(3a^6+9-9a^4+5a^2)	$(- 5 a^{4} - 7 a^{6} + 3) + (3 a^{6} + 9 - 9 a^{4} + 5 a^{2})$
209658	Solve for q	q^3-q^2-30q=0	$q^{3} - q^{2} - 30 q = 0$
209659	Solve for x	4/7+3/x=(2x+1)/(7x)	$\frac{4}{7} + \frac{3}{x} = \frac{2 x + 1}{7 x}$
209660	Find the Exact Value	pi/2-pi/3	$\frac{π}{2} - \frac{π}{3}$
209661	Subtract	(7x^2y^2-6x^3+xy)-(5x^2y^2-x^3+xy+x)	$(7 x^{2} y^{2} - 6 x^{3} + x y) - (5 x^{2} y^{2} - x^{3} + x y + x)$
209662	Evaluate	(7^(3/2))/(7^(1/2))	$\frac{7^{\frac{3}{2}}}{7^{\frac{1}{2}}}$
209663	Solve for n	(n^2-n-6)/(n^2)-(2n+12)/n=(n-6)/(2n)	$\frac{n^{2} - n - 6}{n^{2}} - \frac{2 n + 12}{n} = \frac{n - 6}{2 n}$
209664	Simplify the Radical Expression	10 root of 3^5	$\sqrt[10]{3^{5}}$
209665	Solve the Inequality for z	z^2-12z+36>=0	$z^{2} - 12 z + 36 \geq 0$
209666	Simplify	7 cube root of bc- cube root of bc+10 cube root of bc	$7 \sqrt[3]{b c} - \sqrt[3]{b c} + 10 \sqrt[3]{b c}$
209667	Solve for x	x-4>=0	$x - 4 \geq 0$
209668	Solve for x	x^3-5x^2=-6x	$x^{3} - 5 x^{2} = - 6 x$
209669	Solve for y	2(y+4)-3x=0	$2 (y + 4) - 3 x = 0$
209670	Graph	y^3=8x	$y^{3} = 8 x$
209671	Divide Using Synthetic Division	x^3-5x+3 by x-2	$x^{3} - 5 x + 3$ by $x - 2$
209672	Graph	y=10-x^2+3x	$y = 10 - x^{2} + 3 x$
209673	Simplify	4/( square root of 2)+2/( square root of 3)	$\frac{4}{\sqrt{2}} + \frac{2}{\sqrt{3}}$
209674	Simplify	((36-x^2)/(6-x)*(x^2-2x-48)/(x^3-2x^2-48x))÷((2x^3+14x^2+12x)/(x^3-9x^2-10x))	$\frac{36 - x^{2}}{6 - x} \cdot \frac{x^{2} - 2 x - 48}{x^{3} - 2 x^{2} - 48 x} \div \frac{2 x^{3} + 14 x^{2} + 12 x}{x^{3} - 9 x^{2} - 10 x}$
209675	Evaluate	(1+2/3)(1+2/5)(1+2/7)*(1+2/9)	$(1 + \frac{2}{3}) \cdot (1 + \frac{2}{5}) \cdot (1 + \frac{2}{7}) \cdot (1 + \frac{2}{9})$
209676	Subtract	2(5v+6)-6(-9v+2)	$2 (5 v + 6) - 6 (- 9 v + 2)$
209677	Solve for y	1/3=-3/5y+3/4y-1/2y	$\frac{1}{3} = - \frac{3}{5} y + \frac{3}{4} y - \frac{1}{2} y$
209678	Simplify	3 square root of -18+5 square root of -12	$3 \sqrt{- 18} + 5 \sqrt{- 12}$
209679	Solve the Inequality for x	(x+3)/((x-4)^2(x^2-4))<=0	$\frac{(x + 3)}{{(x - 4)}^{2} (x^{2} - 4)} \leq 0$
209680	Simplify	1/(4x^2)-(2x-4)/(16x^3)	$\frac{1}{4 x^{2}} - \frac{2 x - 4}{16 x^{3}}$
209681	Graph Using a Table of Values	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
209682	Solve for x	(x-4)/6-2=x/2	$\frac{x - 4}{6} - 2 = \frac{x}{2}$
209683	Solve by Substitution	y=-1x-5 4x-8y=4	$y = - 1 x - 5$ $4 x - 8 y = 4$
209684	Simplify	x(3x^2+4)+2(7x-3)	$x (3 x^{2} + 4) + 2 (7 x - 3)$
209685	Evaluate	csc(theta) = square root of 2	$\csc (θ) = \sqrt{2}$
209686	Simplify	((x^2)/9+1/4)/(6x)	$\frac{\frac{x^{2}}{9} + \frac{1}{4}}{6 x}$
209687	Determine if a Polynomial	-10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1	$- 10 x^{6} - 2 x^{5} + 4 x^{4} + 7 x^{3} - 9 x^{2} + 5.5 x - 1$
209688	Simplify	(32ab^4)/(-8a^-2b)-3a^3b^3	$\frac{32 a b^{4}}{- 8 a^{- 2} b} - 3 a^{3} b^{3}$
209689	Solve for x	3/(6x-48)+1=3/(x-8)	$\frac{3}{6 x - 48} + 1 = \frac{3}{x - 8}$
209690	Simplify	5x-3(x-2)-x	$5 x - 3 (x - 2) - x$
209691	Solve by Substitution	y=-3x+7 3x-5=-y	$y = - 3 x + 7$ $3 x - 5 = - y$
209692	Write the Fraction in Simplest Form	( square root of 2+ square root of 5)/( square root of 2- square root of 5)	$\frac{\sqrt{2} + \sqrt{5}}{\sqrt{2} - \sqrt{5}}$
209693	Simplify the Radical Expression	2 square root of 5+5 square root of 5-4 square root of 5	$2 \sqrt{5} + 5 \sqrt{5} - 4 \sqrt{5}$
209694	Find the Inverse	f(x) = square root of x+2+9	$f (x) = \sqrt{x + 2 + 9}$
209695	Solve the Rational Equation for x	fourth root of 8x+12-9=-11	$\sqrt[4]{8 x + 12} - 9 = - 11$
209696	Simplify	(12x^3y^2z)/(16xy^3z^2)	$\frac{12 x^{3} y^{2} z}{16 x y^{3} z^{2}}$
209697	Simplify	x+2+x+2+x	$x + 2 + x + 2 + x$
209698	Solve for b	5/6b=1 7/8	$\frac{5}{6} b = 1 \frac{7}{8}$
209699	Simplify	(3x+5)+(4x^2-2)-(x^2-3x+1)	$(3 x + 5) + (4 x^{2} - 2) - (x^{2} - 3 x + 1)$
209700	Simplify	(x-2)/(10x^2+12x)-5/2	$\frac{x - 2}{10 x^{2} + 12 x} - \frac{5}{2}$