Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211401	Factor	(x^2-2)*2+2(x^2-2)-8	$(x^{2} - 2) \cdot 2 + 2 (x^{2} - 2) - 8$
211402	Write the Fraction in Simplest Form	(-5c^-2)/(-4(c^4)^4)	$\frac{- 5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
211403	Simplify	(-8+6i)+(6-6i)+(7+6i)	$(- 8 + 6 i) + (6 - 6 i) + (7 + 6 i)$
211404	Simplify	12/(3y^2-10y-8)-3/(y^2-6y+8)	$\frac{12}{3 y^{2} - 10 y - 8} - \frac{3}{y^{2} - 6 y + 8}$
211405	Write in Standard Form	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
211406	Find the Degree	(zx^3)/9-x^3	$\frac{z x^{3}}{9} - x^{3}$
211407	Simplify	7/10m-1/3m+2m	$\frac{7}{10} m - \frac{1}{3} m + 2 m$
211408	Solve for x	square root of 2x-6- square root of 3x-14=0	$\sqrt{2 x - 6} - \sqrt{3 x - 14} = 0$
211409	Solve for b	8-(3b+5)=-5+2(b+1)	$8 - (3 b + 5) = - 5 + 2 (b + 1)$
211410	Simplify	4x^2 square root of 15xy*2xy square root of 98xy	$4 x^{2} \sqrt{15 x y} \cdot 2 x y \sqrt{98 x y}$
211411	Multiply	6m^3n^2(3m^5n^4+6m^3n)	$6 m^{3} n^{2} (3 m^{5} n^{4} + 6 m^{3} n)$
211412	Write in Slope-Intercept Form	2x+y<=8	$2 x + y \leq 8$
211413	Solve for y	y-5=-(4-y)	$y - 5 = - (4 - y)$
211414	Find the Domain and Range	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
211415	Solve by Substitution	x=17-4y and y=x-2	$x = 17 - 4 y$ and $y = x - 2$
211416	Divide	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
211417	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
211418	Find the Domain and Range	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
211419	Rationalize the Denominator	sixth root of 64/y	$\sqrt[6]{\frac{64}{y}}$
211420	Solve for x	log of x-1/2 log of x+4=1	$\log (x) - \frac{1}{2} \log (x + 4) = 1$
211421	Multiply	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
211422	Solve for x	1/(2x-3)=1/(5-2x)	$\frac{1}{2 x - 3} = \frac{1}{5 - 2 x}$
211423	Simplify	((8x^2+24x)/(x^2-9))/((2x)/(15-5x))	$\frac{\frac{8 x^{2} + 24 x}{x^{2} - 9}}{\frac{2 x}{15 - 5 x}}$
211424	Simplify	(qr^6)^(1/2)	${(q r^{6})}^{\frac{1}{2}}$
211425	Solve for x	2/(x-2)+3/(x-3)=-5/(x^2-5x+6)	$\frac{2}{x - 2} + \frac{3}{x - 3} = - \frac{5}{x^{2} - 5 x + 6}$
211426	Solve by Addition/Elimination	6(x+y)=6 -2x-6y=-38	$6 (x + y) = 6$ $- 2 x - 6 y = - 38$
211427	Evaluate	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$
211428	Evaluate	(-4-3i)+(-6-9i)	$(- 4 - 3 i) + (- 6 - 9 i)$
211429	Solve the Rational Equation for m	square root of m/5=5	$\sqrt{\frac{m}{5}} = 5$
211430	Solve for x	6+ square root of 4x+8=9	$6 + \sqrt{4 x + 8} = 9$
211431	Solve for p	2x^2+px+4=0	$2 x^{2} + p x + 4 = 0$
211432	Graph	y=3/2 square root of x+4	$y = \frac{3}{2} \sqrt{x} + 4$
211433	Solve the Inequality for k	15-5k>=0	$15 - 5 k \geq 0$
211434	Simplify	(x^1y^11y^-13)/(x^5)	$\frac{x^{1} y^{11} y^{- 13}}{x^{5}}$
211435	Simplify	(7y-4)(2y+3)-13y	$(7 y - 4) (2 y + 3) - 13 y$
211436	Simplify	((x^5y^-1)/(6y^2))^-2((x^2y^-2)/(9y))^2	${(\frac{x^{5} y^{- 1}}{6 y^{2}})}^{- 2} \cdot {(\frac{x^{2} \cdot y^{- 2}}{9 y})}^{2}$
211437	Simplify	square root of 81x* fourth root of 16x^10	$\sqrt{81 x} \cdot \sqrt[4]{16 x^{10}}$
211438	Simplify	(6x-4x^2-7x^3)-(9x^2-5x)	$(6 x - 4 x^{2} - 7 x^{3}) - (9 x^{2} - 5 x)$
211439	Solve for a	sin(a)=cos(a+40)	$\sin (a) = \cos (a + 40)$
211440	Find the Exact Value	(27 1/3)^3	${(27 \frac{1}{3})}^{3}$
211441	Convert to Radical Form	mp1/2	$m p \frac{1}{2}$
211442	Solve the System of Inequalities	3m+18>33 and -8m>=32	$3 m + 18 > 33$ and $- 8 m \geq 32$
211443	Solve by Addition/Elimination	2/3x+3/7y=-13/3 1/8x+3/7y=-13/4	$\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$
211444	Simplify	(8y^2-32)/(4y^2-16)	$\frac{8 y^{2} - 32}{4 y^{2} - 16}$
211445	Simplify	(x^2-6x+12)+(2x^2+4x-10)	$(x^{2} - 6 x + 12) + (2 x^{2} + 4 x - 10)$
211446	Find the Domain and Range	f(x)=4* log base pi of x	$f (x) = 4 \cdot \log_{π} (x)$
211447	Simplify	((a^-1b)^2)/(ab^2)	$\frac{{(a^{- 1} b)}^{2}}{a b^{2}}$
211448	Solve for x	-3/5x+1/5>7/20	$- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}$
211449	Convert to Radical Form	((m^(-1/4))/(n^(-1/2)))^-4	${(\frac{m^{- \frac{1}{4}}}{n^{- \frac{1}{2}}})}^{- 4}$
211450	Evaluate	cube root of x=2	$\sqrt[3]{x} = 2$
211451	Simplify the Radical Expression	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
211452	Solve for x	2(x-3 1/2)=10 3/4	$2 (x - 3 \frac{1}{2}) = 10 \frac{3}{4}$
211453	Factor	4a^4b^2+108ab^2	$4 a^{4} b^{2} + 108 a b^{2}$
211454	Simplify the Radical Expression	(3 square root of 2- square root of 3)(3 square root of 2+ square root of 3)	$(3 \sqrt{2} - \sqrt{3}) (3 \sqrt{2} + \sqrt{3})$
211455	Multiply	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
211456	Solve for z	2(5-2z)=20-2(z-1)	$2 (5 - 2 z) = 20 - 2 (z - 1)$
211457	Simplify	3/(x+3)-(2x)/((x+3)(x+1))	$\frac{3}{x + 3} - \frac{2 x}{(x + 3) (x + 1)}$
211458	Solve for y	2y=x-4	$2 y = x - 4$
211459	Multiply	-3 square root of 7r^3*6 square root of 7r^2	$- 3 \sqrt{7 r^{3}} \cdot 6 \sqrt{7 r^{2}}$
211460	Solve for x	1/10+x=2/5	$\frac{1}{10} + x = \frac{2}{5}$
211461	Graph	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
211462	Simplify	26-3^2*2	$26 - 3^{2} \cdot 2$
211463	Simplify	(16a^4+16a)/(a^2+1-a)	$\frac{(16 a^{4} + 16 a)}{a^{2} + 1 - a}$
211464	Simplify the Radical Expression	-3ab square root of 50a^2b^2	$- 3 a b \sqrt{50 a^{2} b^{2}}$
211465	Solve for x	tan(x)^3=3tan(x)	$\tan^{3} (x) = 3 \tan (x)$
211466	Solve the System of Equations	3x+5y=3 x+2y=0	$3 x + 5 y = 3$ $x + 2 y = 0$
211467	Find the Degree	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
211468	Factor	The factored form of 10a+15k is	The factored form of $10 a + 15 k$ is
211469	Multiply	4(x^2+5x+6)	$4 (x^{2} + 5 x + 6)$
211470	Simplify the Radical Expression	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
211471	Find the Holes in the Graph	f(x)=((x+7)(x-3)(x+1))/((x-3)(x-5))	$f (x) = \frac{(x + 7) (x - 3) (x + 1)}{(x - 3) (x - 5)}$
211472	Solve by Graphing	y=-x+7 x=3	$y = - x + 7$ $x = 3$
211473	Solve for x	ax+2c=2bx+5d	$a x + 2 c = 2 b x + 5 d$
211474	Simplify the Radical Expression	(3x)/(4y) square root of x^3y^4	$\frac{3 x}{4 y} \sqrt{x^{3} y^{4}}$
211475	Solve for y	(y^2-5)^2+2(y^2-5)+1=0	${(y^{2} - 5)}^{2} + 2 (y^{2} - 5) + 1 = 0$
211476	Evaluate	(( square root of 8)/3)^2	${(\frac{\sqrt{8}}{3})}^{2}$
211477	Solve for r	1/r=1/(r^1)+1/(r^2)	$\frac{1}{r} = \frac{1}{r^{1}} + \frac{1}{r^{2}}$
211478	Convert to Radical Form	2(48/3)^(1/4)	$2 {(\frac{48}{3})}^{\frac{1}{4}}$
211479	Simplify	-4(x^2-5x+2)-7	$- 4 (x^{2} - 5 x + 2) - 7$
211480	Find the Product	(4+y)^3	${(4 + y)}^{3}$
211481	Simplify	(x+2 square root of 3i)(x-2 square root of 3i)	$(x + 2 \sqrt{3 i}) (x - 2 \sqrt{3 i})$
211482	Simplify	(-3x)^2(x^-3)(3x^5)	${(- 3 x)}^{2} (x^{- 3}) (3 x^{5})$
211483	Solve for u	4-(1-7u)^(1/3)=0	$4 - {(1 - 7 u)}^{\frac{1}{3}} = 0$
211484	Simplify	(2x^3y)/(3z^4)*(6xz^5)/(10y^5)	$\frac{2 x^{3} y}{3 z^{4}} \cdot \frac{6 x z^{5}}{10 y^{5}}$
211485	Multiply	(x^3-3x^2+1)*(x+3)	$(x^{3} - 3 x^{2} + 1) \cdot (x + 3)$
211486	Simplify	1/(b^-7*b^5)	$\frac{1}{b^{- 7} \cdot b^{5}}$
211487	Convert to a Decimal	-5pirad	$- 5 π$ radians
211488	Solve for x	2/(x+2)-1/x=-4/(x(x+2))	$\frac{2}{x + 2} - \frac{1}{x} = \frac{- 4}{x (x + 2)}$
211489	Simplify	((a^(2/3)b)/(ab^(3/4)))^3	${(\frac{a^{\frac{2}{3}} b}{a b^{\frac{3}{4}}})}^{3}$
211490	Simplify	(x+3)^3-9x(x+3)	${(x + 3)}^{3} - 9 x (x + 3)$
211491	Solve for x	(2x)/5=(x-1)/4	$\frac{2 x}{5} = \frac{x - 1}{4}$
211492	Solve for m	natural log of m+3- natural log of 2m-1 = natural log of 4	$\ln (m + 3) - \ln (2 m - 1) = \ln (4)$
211493	Solve for x	4x(2x+1)-5(2x+1)=0	$4 x (2 x + 1) - 5 (2 x + 1) = 0$
211494	Convert to a Decimal	-450deg	$- 450$ degrees
211495	Solve for x	1/2x^5=512	$\frac{1}{2} x^{5} = 512$
211496	Solve for x	square root of 2x^2-121=x	$\sqrt{2 x^{2} - 121} = x$
211497	Simplify	(2f^0)/(7g^-10)	$\frac{2 f^{0}}{7 g^{- 10}}$
211498	Simplify	(x^2+18x+81)/((x+9)^4 square root of x+9)	$\frac{x^{2} + 18 x + 81}{{(x + 9)}^{4} \sqrt{x + 9}}$
211499	Simplify	((25x)^(3/2))/(5x^(1/2))	$\frac{{(25 x)}^{\frac{3}{2}}}{5 x^{\frac{1}{2}}}$
211500	Graph	y=3+x^-1	$y = 3 + x^{- 1}$