Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207401	Simplify/Condense	1/2( log base 6 of k^9- log base 6 of k^3)	$\frac{1}{2} (\log_{6} (k^{9}) - \log_{6} (k^{3}))$
207402	Simplify the Radical Expression	( square root of 10)^3	${(\sqrt{10})}^{3}$
207403	Simplify	2*36^(-1/2)+6^-1	$2 \cdot 36^{- \frac{1}{2}} + 6^{- 1}$
207404	Simplify the Radical Expression	x^4 square root of x^3	$x^{4} \sqrt{x^{3}}$
207405	Simplify	3v(7v-2)+3(v^2+2v+1)-3v(-5v+3)	$3 v (7 v - 2) + 3 (v^{2} + 2 v + 1) - 3 v (- 5 v + 3)$
207406	Solve for x	2(1-3(x+2))=-x	$2 (1 - 3 (x + 2)) = - x$
207407	Solve the Rational Equation for n	square root of n=9	$\sqrt{n} = 9$
207408	Solve for y	x^2-y^2=0	$x^{2} - y^{2} = 0$
207409	Simplify	2x^2+4x-3(x-x^2)+(x+2)(x-2)	$2 x^{2} + 4 x - 3 (x - x^{2}) + (x + 2) (x - 2)$
207410	Solve for t	u=(3t)/4+2	$u = \frac{3 t}{4} + 2$
207411	Simplify	3x cube root of 8x^9y^7	$3 x \sqrt[3]{8 x^{9} y^{7}}$
207412	Divide	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$
207413	Simplify	x(3i^2)^3+2xi^12	$x {(3 i^{2})}^{3} + 2 x i^{12}$
207414	Solve the System of Equations	-2x-5y+2z=-28 -5x-2y+z=-16 -4x+y+2z=0	$- 2 x - 5 y + 2 z = - 28$ $- 5 x - 2 y + z = - 16$ $- 4 x + y + 2 z = 0$
207415	Find the Inverse	f(x)=(5x)^(4/3)	$f (x) = {(5 x)}^{\frac{4}{3}}$
207416	Find the Domain and Range	f(x)=3/4 square root of x+12+3	$f (x) = \frac{3}{4} \sqrt{x + 12} + 3$
207417	Simplify	a(b+c-bc)-b(c+a-ac)+c(b-a)	$a (b + c - b c) - b (c + a - a c) + c (b - a)$
207418	Simplify	((x-y)^2)/(x+y)*(3x+3y)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{x + y} \cdot \frac{3 x + 3 y}{x^{2} - y^{2}}$
207419	Simplify the Radical Expression	square root of 3* square root of 5	$\sqrt{3} \cdot \sqrt{5}$
207420	Find the Inverse	y = cube root of x+2-5	$y = \sqrt[3]{x + 2} - 5$
207421	Evaluate	((-2a^3b^2c^0)/(3a^2b^3c^7))^-2	${(\frac{- 2 a^{3} b^{2} c^{0}}{3 a^{2} b^{3} c^{7}})}^{- 2}$
207422	Evaluate	4(x-2)+3(x+1)=3(x-1)	$4 (x - 2) + 3 (x + 1) = 3 (x - 1)$
207423	Evaluate	(6x^7)/(2x^4)	$\frac{6 x^{7}}{2 x^{4}}$
207424	Graph	y=-x+5 x-2y=-4	$y = - x + 5$ $x - 2 y = - 4$
207425	Find the x and y Intercepts	f(x)=(-4x)/5+4	$f (x) = \frac{- 4 x}{5} + 4$
207426	Solve for u	-7u+11u+5=2u+31	$- 7 u + 11 u + 5 = 2 u + 31$
207427	Solve for x	7+x^(3/2)=71	$7 + x^{\frac{3}{2}} = 71$
207428	Solve the System of Equations	4x-5y=-6 and -6x+7y=12	$4 x - 5 y = - 6$ and $- 6 x + 7 y = 12$
207429	Evaluate	cube root of 500/4+500/10	$\sqrt[3]{\frac{500}{4}} + \frac{500}{10}$
207430	Simplify the Radical Expression	4 square root of 27-2 square root of 12-5 square root of 75	$4 \sqrt{27} - 2 \sqrt{12} - 5 \sqrt{75}$
207431	Solve for x	2 natural log of x- natural log of 3-x = natural log of 1/2+ natural log of 8	$2 \ln (x) - \ln (3 - x) = \ln (\frac{1}{2}) + \ln (8)$
207432	Simplify	square root of 9x^4* cube root of 27x^10	$\sqrt{9 x^{4}} \cdot \sqrt[3]{27 x^{10}}$
207433	Simplify	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{x^{2} - 1}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
207434	Factor	b^3+1/27a^3	$b^{3} + \frac{1}{27} a^{3}$
207435	Simplify	(r^3-6rs+6s^2)-(3r^3+rs-4s^2)	$(r^{3} - 6 r s + 6 s^{2}) - (3 r^{3} + r s - 4 s^{2})$
207436	Solve for m	-1/2=m-7/4	$- \frac{1}{2} = m - \frac{7}{4}$
207437	Divide	((a^2-2a+1)/6)÷(a^2-1)	$\frac{a^{2} - 2 a + 1}{6} \div (a^{2} - 1)$
207438	Find the Degree, Leading Term, and Leading Coefficient	9+x/5	$9 + \frac{x}{5}$
207439	Simplify	6x1/(x^-5)x^-2	$6 x \cdot \frac{1}{x^{- 5}} \cdot x^{- 2}$
207440	Solve for x	log base 4 of x-4=( log base 4 of x)/( log base 4 of 4)	$\log_{4} (x - 4) = \frac{\log_{4} (x)}{\log_{4} (4)}$
207441	Solve for x	square root of (3x)/4=6	$\sqrt{\frac{3 x}{4}} = 6$
207442	Simplify	1 7/8+1/8	$1 \frac{7}{8} + \frac{1}{8}$
207443	Solve the System of Inequalities	y<=-2/3x-3 y>=3x+8	$y \leq - \frac{2}{3} x - 3$ $y \geq 3 x + 8$
207444	Solve for x	(x+1)/2+(5x-2)/3=0	$\frac{x + 1}{2} + \frac{5 x - 2}{3} = 0$
207445	Simplify	(4^3)÷(2^3)	$4^{3} \div 2^{3}$
207446	Simplify	(1/10x-2/3)-(4/5x-1/6)	$(\frac{1}{10} x - \frac{2}{3}) - (\frac{4}{5} x - \frac{1}{6})$
207447	Solve for x	2+5(x+3)-3(x-4)=x+2(2x+4)	$2 + 5 (x + 3) - 3 (x - 4) = x + 2 (2 x + 4)$
207448	Write in Standard Form	6+y=8	$6 + y = 8$
207449	Find the Inverse	f(x)=x/(7-x)	$f (x) = \frac{x}{7 - x}$
207450	Simplify	(8x-3y)-(2y-13+5x)	$(8 x - 3 y) - (2 y - 13 + 5 x)$
207451	Convert to Radical Form	16/( fourth root of 16^3)	$\frac{16}{\sqrt[4]{16^{3}}}$
207452	Simplify	((-a-b)^2)/(a+b)	$\frac{{(- a - b)}^{2}}{a + b}$
207453	Simplify	12 square root of 25/64	$12 \sqrt{\frac{25}{64}}$
207454	Write in Slope-Intercept Form	0=-3x-4-2y	$0 = - 3 x - 4 - 2 y$
207455	Solve for y	4x-2+y=6-2x	$4 x - 2 + y = 6 - 2 x$
207456	Evaluate	square root of 3x = square root of x+6	$\sqrt{3 x} = \sqrt{x + 6}$
207457	Find the Holes in the Graph	f(x)=(x^2-7x+12)/(x^3-5x^2+3x+9)	$f (x) = \frac{x^{2} - 7 x + 12}{x^{3} - 5 x^{2} + 3 x + 9}$
207458	Simplify	-5(2(x-3)+6)	$- 5 (2 (x - 3) + 6)$
207459	Write the Fraction in Simplest Form	(-10h^6)/((2h^-3)^5)	$\frac{- 10 h^{6}}{{(2 h^{- 3})}^{5}}$
207460	Solve the Inequality for x	4x+3<5x	$4 x + 3 < 5 x$
207461	Solve for m	4^m=(2^(m+6))/16	$4^{m} = \frac{2^{m + 6}}{16}$
207462	Graph	3x+5y<10 x-y<=1	$3 x + 5 y < 10$ $x - y \leq 1$
207463	Solve for x	5/2=(3x)/(x+5)	$\frac{5}{2} = \frac{3 x}{x + 5}$
207464	Simplify	1/(b^2-ab)-1/(ab-a^2)	$\frac{1}{b^{2} - a b} - \frac{1}{a b - a^{2}}$
207465	Simplify	(2x^3y^4)^(-2/3)	${(2 x^{3} y^{4})}^{- \frac{2}{3}}$
207466	Simplify	((x^2-x-2)/(x^2+6x+5))÷((2x^2-3x-2)/(4x^2-1))	$\frac{x^{2} - x - 2}{x^{2} + 6 x + 5} \div \frac{2 x^{2} - 3 x - 2}{4 x^{2} - 1}$
207467	Evaluate	square root of 1 4/5* square root of 0.2	$\sqrt{1 \frac{4}{5}} \cdot \sqrt{0.2}$
207468	Solve for n	-6=15m+9n	$- 6 = 15 m + 9 n$
207469	Graph	y=1/4tan(x-pi/4)	$y = \frac{1}{4} \tan (x - \frac{π}{4})$
207470	Graph	y = square root of 1/2x	$y = \sqrt{\frac{1}{2}} x$
207471	Simplify	3^(6*3)	$3^{6 \cdot 3}$
207472	Evaluate	square root of 2x+10-6=2	$\sqrt{2 x + 10} - 6 = 2$
207473	Solve for n	cube root of 14-10n=-2 cube root of n	$\sqrt[3]{14 - 10 n} = - 2 \sqrt[3]{n}$
207474	Simplify	square root of -9+10	$\sqrt{- 9 + 10}$
207475	Simplify the Radical Expression	square root of 200m^4n	$\sqrt{200 m^{4}} n$
207476	Solve for a	2a+b=c	$2 a + b = c$
207477	Solve for x	square root of x-5 = square root of 5x+29	$\sqrt{x} - 5 = \sqrt{5 x + 29}$
207478	Write in Slope-Intercept Form	(1,-9) and (-3,-9)	$(1, - 9)$ and $(- 3, - 9)$
207479	Solve for c	square root of 6c-4=2	$\sqrt{6 c} - 4 = 2$
207480	Simplify the Radical Expression	7 square root of x-3 square root of x-2 square root of x	$7 \sqrt{x} - 3 \sqrt{x} - 2 \sqrt{x}$
207481	Find the Domain and Range	y=-3tan(2x)	$y = - 3 \tan (2 x)$
207482	Simplify	i^44*i^14	$i^{44} \cdot i^{14}$
207483	Solve the System of Equations	2x+4y+z=1 x-2y-3z=2 x+y-z=-1	$2 x + 4 y + z = 1$ $x - 2 y - 3 z = 2$ $x + y - z = - 1$
207484	Find the Product	6(7n^2+n-2)	$6 (7 n^{2} + n - 2)$
207485	Find the Product	6x(x^2-4x-3)	$6 x (x^{2} - 4 x - 3)$
207486	Solve for x	x^2-3/2x-27/16=0	$x^{2} - \frac{3}{2} x - \frac{27}{16} = 0$
207487	Solve the Rational Equation for a	square root of a/3=3	$\sqrt{\frac{a}{3}} = 3$
207488	Find the Roots (Zeros)	2x^2-4x+6=0	$2 x^{2} - 4 x + 6 = 0$
207489	Simplify	11(1/4x-2)+1/4x	$11 (\frac{1}{4} x - 2) + \frac{1}{4} x$
207490	Solve for x	3x-x/8=23	$3 x - \frac{x}{8} = 23$
207491	Solve for x	81*9^(-2x-2)=27	$81 \cdot 9^{- 2 x - 2} = 27$
207492	Solve for x	(1/100)^(-2x+36)=(1/10)^(2x^2+2)	${(\frac{1}{100})}^{- 2 x + 36} = {(\frac{1}{10})}^{2 x^{2} + 2}$
207493	Solve for x	2+(3+5)=(2+x)+5	$2 + (3 + 5) = (2 + x) + 5$
207494	Solve the Rational Equation for x	2 square root of x-3=12	$2 \sqrt{x - 3} = 12$
207495	Simplify	(-28x^4y)/((2xy)^2)	$\frac{- 28 x^{4} y}{{(2 x y)}^{2}}$
207496	Find the Domain and Range	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
207497	Find the Exact Value	2^4+3^2-5	$2^{4} + 3^{2} - 5$
207498	Find All Complex Solutions	3x^2-4=0	$3 x^{2} - 4 = 0$
207499	Simplify	(11(-8)^(2/3))/7	$\frac{11 {(- 8)}^{\frac{2}{3}}}{7}$
207500	Evaluate	9\|12-14+1\|-1	$9 \| 12 - 14 + 1 \| - 1$