Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195401	Simplify	cube root of 54/2	$\sqrt[3]{\frac{54}{2}}$
195402	Evaluate Using the Given Value	15/k when k=3	$\frac{15}{k}$ when $k = 3$
195403	Simplify	17d-5e+3e-15d	$17 d - 5 e + 3 e - 15 d$
195404	Simplify	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
195405	Simplify	( square root of 36-4)^3*5	${(\sqrt{36} - 4)}^{3} \cdot 5$
195406	Simplify	(-8x^2+3)+(-9x^2+3x-3)	$(- 8 x^{2} + 3) + (- 9 x^{2} + 3 x - 3)$
195407	Find the Exact Value	csc(theta)-sin(theta)	$\csc (θ) - \sin (θ)$
195408	Solve Using the Quadratic Formula	x^2+2xy+y^2	$x^{2} + 2 x y + y^{2}$
195409	Factor	27mw^3-64m	$27 m w^{3} - 64 m$
195410	Find the LCD	x/(x^2+x)-2/(x+1)	$\frac{x}{x^{2} + x} - \frac{2}{x + 1}$
195411	Simplify	((2x^2+3x+1)/(x^2+2x-15))÷((x^2+6x+5)/(2x^2-7x+3))	$\frac{2 x^{2} + 3 x + 1}{x^{2} + 2 x - 15} \div \frac{x^{2} + 6 x + 5}{2 x^{2} - 7 x + 3}$
195412	Solve for x	x+5-11=-1	$x + 5 - 11 = - 1$
195413	Solve for n	30+n>=50	$30 + n \geq 50$
195414	Graph	f(x)=-x+3 , -3<=x<=3	$f (x) = - x + 3$ , $- 3 \leq x \leq 3$
195415	Solve for b	y=4x+b	$y = 4 x + b$
195416	Solve for y	-75=y^3+50	$- 75 = y^{3} + 50$
195417	Simplify	3x+5-4x^2-2-x^2-3x+1	$3 x + 5 - 4 x^{2} - 2 - x^{2} - 3 x + 1$
195418	Find the Excluded Values	(3x)/(1-3x)	$\frac{3 x}{1 - 3 x}$
195419	Solve Using the Quadratic Formula	4x^2+x=-7x-3	$4 x^{2} + x = - 7 x - 3$
195420	Solve by Addition/Elimination	-y-10=6x 5x+y=-10	$- y - 10 = 6 x$ $5 x + y = - 10$
195421	Find the Holes in the Graph	(x^2-7x+12)/(-5x+15)	$\frac{x^{2} - 7 x + 12}{- 5 x + 15}$
195422	Simplify	fourth root of 5* fourth root of -5	$\sqrt[4]{5} \cdot \sqrt[4]{- 5}$
195423	Find the Exact Value	22222	$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$
195424	Simplify	1x+1x	$1 x + 1 x$
195425	Solve for a	a-1/5=-1/7	$a - \frac{1}{5} = - \frac{1}{7}$
195426	Solve for x	(x^2-13)(x^2+1)=0	$(x^{2} - 13) (x^{2} + 1) = 0$
195427	Find the Roots (Zeros)	(2x+3)^2+(x+4)^2=10	${(2 x + 3)}^{2} + {(x + 4)}^{2} = 10$
195428	Solve for x	2x(x^2-9)(x^2-5)=0	$2 x (x^{2} - 9) (x^{2} - 5) = 0$
195429	Graph	y=-1/6sin(x/4)	$y = - \frac{1}{6} \sin (\frac{x}{4})$
195430	Find the Perfect Square Trinomial	x^2+xy+y^2	$x^{2} + x y + y^{2}$
195431	Solve for x	(2x)/(x+7)-x/(x+3)=1+1/(x^2+10+21)	$\frac{2 x}{x + 7} - \frac{x}{x + 3} = 1 + \frac{1}{x^{2} + 10 + 21}$
195432	Evaluate	(2+3i)(2-3i)	$(2 + 3 i) (2 - 3 i)$
195433	Simplify	((b^2-c^2)/(bc))/((b-c)/c)	$\frac{\frac{b^{2} - c^{2}}{b c}}{\frac{b - c}{c}}$
195434	Evaluate Using the Given Value	8+w/4 when w=16	$8 + \frac{w}{4}$ when $w = 16$
195435	Solve for x	62^(x^2-2x+2)=43^(x^2-2x+2)	$6 \cdot 2^{x^{2} - 2 x + 2} = 4 \cdot 3^{x^{2} - 2 x + 2}$
195436	Graph	-(x+5)^2=y	$- {(x + 5)}^{2} = y$
195437	Find the x and y Intercepts	f(x)=x(x+5)^2(x+3)	$f (x) = x {(x + 5)}^{2} (x + 3)$
195438	Rationalize the Denominator	( square root of 3)/(3 square root of 6)	$\frac{\sqrt{3}}{3 \sqrt{6}}$
195439	Solve Using the Square Root Property	(x^2)/4=25	$\frac{x^{2}}{4} = 25$
195440	Find the Roots (Zeros)	0=3x^8+11x^5+4x+6	$0 = 3 x^{8} + 11 x^{5} + 4 x + 6$
195441	Subtract	1 1/8-5/6	$1 \frac{1}{8} - \frac{5}{6}$
195442	Divide	2 1/4÷(1/2)	$2 \frac{1}{4} \div \frac{1}{2}$
195443	Convert to a Decimal	sin(210)deg	$\sin (210)$ degrees
195444	Find the Distance Between Two Points	(-9,8) and (-3,-1)	$(- 9, 8)$ and $(- 3, - 1)$
195445	Rationalize the Denominator	( cube root of 2z)/( cube root of z^2)	$\frac{\sqrt[3]{2 z}}{\sqrt[3]{z^{2}}}$
195446	Find the LCD	5/(6x) and 3/(4x+8)	$\frac{5}{6 x}$ and $\frac{3}{4 x + 8}$
195447	Evaluate	9/3+2*6+5	$\frac{9}{3} + 2 \cdot 6 + 5$
195448	Find f(g(x))	f(x)=1/x , g(x)=1/x	$f (x) = \frac{1}{x}$ , $g (x) = \frac{1}{x}$
195449	Solve for x	x/(2x-9)=-3/x	$\frac{x}{2 x - 9} = \frac{- 3}{x}$
195450	Find the Third Term	(2x-1)^6	${(2 x - 1)}^{6}$
195451	Solve the Inequality for x	-5(x-9)+12>-6	$- 5 (x - 9) + 12 > - 6$
195452	Convert to Interval Notation	x^2-9>=0	$x^{2} - 9 \geq 0$
195453	Solve for y	7y-2y+4+3y=-20	$7 y - 2 y + 4 + 3 y = - 20$
195454	Graph	f(x)=\|-x\|^(1/2)	$f (x) = {\| - x \|}^{\frac{1}{2}}$
195455	Simplify	7z^4-5+10(y^3+5)	$7 z^{4} - 5 + 10 (y^{3} + 5)$
195456	Simplify	2-(3x-5)^2	$2 - {(3 x - 5)}^{2}$
195457	Evaluate	3/7(2)-5/14*4	$\frac{3}{7} (2) - \frac{5}{14} \cdot 4$
195458	Graph	f(x)=(x^4)/(x^2+2)	$f (x) = \frac{x^{4}}{x^{2} + 2}$
195459	Find the Exact Value	4/( square root of 2)	$\frac{4}{\sqrt{2}}$
195460	Solve the Inequality for x	\|x+8\|-3>=6	$\| x + 8 \| - 3 \geq 6$
195461	Find the Exact Value	cos(pi/9)^2-sin(pi/9)^2	$\cos^{2} (\frac{π}{9}) - \sin^{2} (\frac{π}{9})$
195462	Simplify	5x+4x^2(2x+7)-6x^2-9x	$5 x + 4 x^{2} (2 x + 7) - 6 x^{2} - 9 x$
195463	Graph	f(x)=0.75(10-x)+1	$f (x) = 0.75 (10 - x) + 1$
195464	Find the Quadratic Equation Given the Roots	-3 and 15	$- 3$ and $15$
195465	Simplify	square root of 18x^2*4 square root of 3x^2	$\sqrt{18 x^{2}} \cdot 4 \sqrt{3 x^{2}}$
195466	Simplify	(-4x^3*x^2y^4)/(-2x^3y^4)	$\frac{- 4 x^{3} \cdot x^{2} y^{4}}{- 2 x^{3} y^{4}}$
195467	Solve the Inequality for y	1/6y-1/3y>x+4	$\frac{1}{6} y - \frac{1}{3} y > x + 4$
195468	Write in Slope-Intercept Form	2x-y>1	$2 x - y > 1$
195469	Evaluate	cos(x)^4-sin(x)^4	$\cos^{4} (x) - \sin^{4} (x)$
195470	Find the End Behavior	f(x)=144x-168-18x^2-6x^3	$f (x) = 144 x - 168 - 18 x^{2} - 6 x^{3}$
195471	Solve for x	2 = square root of x/2	$2 = \sqrt{\frac{x}{2}}$
195472	Evaluate the Function	f(x)=-4x-5 for x=-1	$f (x) = - 4 x - 5$ for $x = - 1$
195473	Find the Product	2y^2(3x+5z)	$2 y^{2} (3 x + 5 z)$
195474	Simplify	(6 square root of 3-4)/(8- square root of 3)	$\frac{6 \sqrt{3} - 4}{8 - \sqrt{3}}$
195475	Graph	R(x)=-1/2(x-2)^5	$R (x) = - \frac{1}{2} {(x - 2)}^{5}$
195476	Graph	f^-1(x) = cube root of x-2	$f^{- 1} (x) = \sqrt[3]{x} - 2$
195477	Solve for x	x^2e^x+xe^x-e^x=0	$x^{2} e^{x} + x e^{x} - e^{x} = 0$
195478	Simplify	(12a^3c)/(4ac)	$\frac{12 a^{3} c}{4 a c}$
195479	Solve the Inequality for m	(m-2)/3<=-4	$\frac{m - 2}{3} \leq - 4$
195480	Simplify	(4/3+4/x)/(8/(9x)+8/(3x^2))	$\frac{\frac{4}{3} + \frac{4}{x}}{\frac{8}{9 x} + \frac{8}{3 x^{2}}}$
195481	Solve for r	N=1/(2pi) square root of a/r	$N = \frac{1}{2 π} \sqrt{\frac{a}{r}}$
195482	Divide	3/(2/2)	$\frac{3}{\frac{2}{2}}$
195483	Solve for a	1 5/7=1 13/14a	$1 \frac{5}{7} = 1 \frac{13}{14} a$
195484	Simplify	(3k-27)/(k^2-8k-9)+(7k+14)/(3k^2+9k+6)	$\frac{3 k - 27}{k^{2} - 8 k - 9} + \frac{7 k + 14}{3 k^{2} + 9 k + 6}$
195485	Solve for x	1/(x^2-x)+1/x=5/(x^2-x)	$\frac{1}{x^{2} - x} + \frac{1}{x} = \frac{5}{x^{2} - x}$
195486	Find f(g(x))	f(x) = square root of x+5 , g(x)=x^2-5	$f (x) = \sqrt{x + 5}$ , $g (x) = x^{2} - 5$
195487	Solve for θ	sin(theta)=(- square root of 3)/2	$\sin (θ) = \frac{- \sqrt{3}}{2}$
195488	Simplify	square root of 18(2+ square root of 6)-2 square root of 3	$\sqrt{18} (2 + \sqrt{6}) - 2 \sqrt{3}$
195489	Simplify	-(6.1m+8n)+3	$- (6.1 m + 8 n) + 3$
195490	Simplify	(-4m^2n)^4*1/6m^-10n^-4	${(- 4 m^{2} n)}^{4} \cdot \frac{1}{6} m^{- 10} n^{- 4}$
195491	Simplify	square root of square root of 8	$\sqrt{\sqrt{8}}$
195492	Solve for x	( square root of 2x+2)/4=3	$\frac{\sqrt{2 x} + 2}{4} = 3$
195493	Graph	f^-1(x)=x^3-1	$f^{- 1} (x) = x^{3} - 1$
195494	Find the x and y Intercepts	y=(x+2)	$y = (x + 2)$
195495	Solve for h	6-2h>30	$6 - 2 h > 30$
195496	Solve the Inequality for x	(x-2)/(x+2)<=2	$\frac{x - 2}{x + 2} \leq 2$
195497	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^4-8x^6+6x^3-4	$f (x) = 4 x^{4} - 8 x^{6} + 6 x^{3} - 4$
195498	Find the Degree	(x+4)^2(x-1)^3=0	${(x + 4)}^{2} {(x - 1)}^{3} = 0$
195499	Simplify	5^2(5^3*5^2)	$5^{2} (5^{3} \cdot 5^{2})$
195500	Solve for x	log base 16 of 9x+5- log base 16 of x^2-1=1/2	$\log_{16} (9 x + 5) - \log_{16} (x^{2} - 1) = \frac{1}{2}$