Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197401	Divide	(3/4)/(1/2)	$\frac{\frac{3}{4}}{\frac{1}{2}}$
197402	Evaluate	(9^(1/2))^3	${(9^{\frac{1}{2}})}^{3}$
197403	Solve the Inequality for x	x^2+6x>-8	$x^{2} + 6 x > - 8$
197404	Simplify	( square root of 189x^3y^6)/( square root of 3x)	$\frac{\sqrt{189 x^{3} y^{6}}}{\sqrt{3 x}}$
197405	Solve the Inequality for x	-1+5/6(-6x-3)-x>-x	$- 1 + \frac{5}{6} (- 6 x - 3) - x > - x$
197406	Evaluate	(1/2)^infinity	${(\frac{1}{2})}^{\infty}$
197407	Graph	tan(theta)<0 , csc(theta)<0	$\tan (θ) < 0$ , $\csc (θ) < 0$
197408	Find the Roots (Zeros)	f(x)=1/3x^2+1/3x-2/3	$f (x) = \frac{1}{3} x^{2} + \frac{1}{3} x - \frac{2}{3}$
197409	Solve for x	ax+b=3(x-a)	$a x + b = 3 (x - a)$
197410	Solve for r	4(3r-2)=-3(r+7)	$4 (3 r - 2) = - 3 (r + 7)$
197411	Find the End Behavior	f(x)=-2160x-4x^5-432x^2+204x^3+8x^4+5184	$f (x) = - 2160 x - 4 x^{5} - 432 x^{2} + 204 x^{3} + 8 x^{4} + 5184$
197412	Find the Exact Value	8÷2(1+3)	$8 \div 2 (1 + 3)$
197413	Find All Complex Solutions	x+4=(x-2)/x	$x + 4 = \frac{x - 2}{x}$
197414	Graph	-10+x^2 if -4<=x<4	$- 10 + x^{2}$ if $- 4 \leq x < 4$
197415	Solve for c	square root of 7-3z=3+cz	$\sqrt{7 - 3 z} = 3 + c z$
197416	Find the Roots (Zeros)	-6x^2+x-6=-8x^2	$- 6 x^{2} + x - 6 = - 8 x^{2}$
197417	Solve for y	y = log base 4 of 8	$y = \log_{4} (8)$
197418	Solve the Inequality for x	x+3<4x-3	$x + 3 < 4 x - 3$
197419	Graph	-6<=x<=4 and -25<=y<=10	$- 6 \leq x \leq 4$ and $- 25 \leq y \leq 10$
197420	Evaluate	2cos((2pi)/3)	$2 \cos (\frac{2 π}{3})$
197421	Graph	f(x)=1/16(x+2)(x-2)(x-4)	$f (x) = \frac{1}{16} (x + 2) (x - 2) (x - 4)$
197422	Solve for p	-7+(16p+8)^(1/3)=-1	$- 7 + {(16 p + 8)}^{\frac{1}{3}} = - 1$
197423	Find the Discriminant	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
197424	Solve for n	(5(n+4))/3=n-8	$\frac{5 (n + 4)}{3} = n - 8$
197425	Solve for x	3-2 cube root of x-1=5	$3 - 2 \sqrt[3]{x - 1} = 5$
197426	Simplify	(2+i)(8-3i)-(23+34i)	$(2 + i) (8 - 3 i) - (23 + 34 i)$
197427	Multiply	(-3a^2b^5c)(-9a^2b^5)(-11b^3c^7)	$(- 3 a^{2} b^{5} c) (- 9 a^{2} b^{5}) (- 11 b^{3} c^{7})$
197428	Multiply	-1*(-1/3)	$- 1 \cdot (- \frac{1}{3})$
197429	Solve the Inequality for x	x^2>100	$x^{2} > 100$
197430	Solve the Inequality for x	x^2+4>=0	$x^{2} + 4 \geq 0$
197431	Find the Product	(2+7i)(2-7i)	$(2 + 7 i) (2 - 7 i)$
197432	Find the Holes in the Graph	(4x^2-16)/(-5x+10)	$\frac{4 x^{2} - 16}{- 5 x + 10}$
197433	Graph	sin(theta)<0 , cot(theta)>0	$\sin (θ) < 0$ , $\cot (θ) > 0$
197434	Solve the Inequality for d	4-d<4+d	$4 - d < 4 + d$
197435	Find the Exact Value	csc(pi/4)^2	$\csc^{2} (\frac{π}{4})$
197436	Write as a Single Logarithm	log base b of 8-2 log base b of 2	$\log_{b} (8) - 2 \log_{b} (2)$
197437	Simplify	7-(x-3)/4+2	$7 - \frac{x - 3}{4} + 2$
197438	Evaluate	((c^2-4)/(c+3))÷((c+2)/(3(c^2-9)))	$\frac{c^{2} - 4}{c + 3} \div \frac{c + 2}{3 (c^{2} - 9)}$
197439	Evaluate	1/2(2a-6b+8)	$\frac{1}{2} (2 a - 6 b + 8)$
197440	Find the End Behavior	f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260	$f (x) = 123 x^{3} + 9 x^{4} - 768 x - 3 x^{5} - 189 x^{2} + 1260$
197441	Solve for h	-5(h+12)-(4h-2)=h-8	$- 5 (h + 12) - (4 h - 2) = h - 8$
197442	Graph	y=1/5x-7 y=-x-1	$y = \frac{1}{5} x - 7$ $y = - x - 1$
197443	Simplify the Radical Expression	((4^3)/(5^-2))^5	${(\frac{4^{3}}{5^{- 2}})}^{5}$
197444	Factor	13x-13y-8y+8x	$13 x - 13 y - 8 y + 8 x$
197445	Identify the Zeros and Their Multiplicities	f(x)=-(x+3)(x+1)^2(x-1)	$f (x) = - (x + 3) {(x + 1)}^{2} (x - 1)$
197446	Graph	y=5/2cos(2x-pi/2)	$y = \frac{5}{2} \cos (2 x - \frac{π}{2})$
197447	Find the Domain and Range	x+y=1	$x + y = 1$
197448	Solve for m	8m(1+2m)-(4m+3)(4m-3)=2m	$8 m (1 + 2 m) - (4 m + 3) (4 m - 3) = 2 m$
197449	Find the Roots (Zeros)	f(x)=(x^2-9)/(x^2-x-6)	$f (x) = \frac{x^{2} - 9}{x^{2} - x - 6}$
197450	Simplify	(1/(t^-7*t^-1))^(5/16)	${(\frac{1}{t^{- 7} \cdot t^{- 1}})}^{\frac{5}{16}}$
197451	Find the Roots (Zeros)	x^3+x^2	$x^{3} + x^{2}$
197452	Evaluate	4( square root of 147/3+3)	$4 (\sqrt{\frac{147}{3}} + 3)$
197453	Solve Using the Quadratic Formula	-18x+5=-15x^2+4x	$- 18 x + 5 = - 15 x^{2} + 4 x$
197454	Subtract	1/3-1/1	$\frac{1}{3} - \frac{1}{1}$
197455	Write in Slope-Intercept Form	x-3y<=18	$x - 3 y \leq 18$
197456	Solve for a	4b=2a-t	$4 b = 2 a - t$
197457	Simplify	Simplify csc(theta)cot(theta)^2+csc(theta)	Simplify $\csc (θ) \cot^{2} (θ) + \csc (θ)$
197458	Solve for x	-10+7(4x-1/2)=-1/2-2x	$- 10 + 7 (4 x - \frac{1}{2}) = - \frac{1}{2} - 2 x$
197459	Solve the Inequality for p	9(p+2)<=3(3p-5)	$9 (p + 2) \leq 3 (3 p - 5)$
197460	Determine the Nature of the Roots Using the Discriminant	x^2-4/5x=3	$x^{2} - \frac{4}{5} x = 3$
197461	Divide	(3x^3)÷3x	$3 x^{3} \div 3 x$
197462	Describe the Transformation	y=-\|x-5\|	$y = - \| x - 5 \|$
197463	Evaluate	1/(2(1/(2x)))	$\frac{1}{2 (\frac{1}{2 x})}$
197464	Graph	p(x)=x(2x-5)^2(x+2)	$p (x) = x {(2 x - 5)}^{2} (x + 2)$
197465	Simplify	a^6a^-5q^-9p^5	$a^{6} a^{- 5} q^{- 9} p^{5}$
197466	Divide Using Synthetic Division	3x^3-x^2-9x+7 by x-1	$3 x^{3} - x^{2} - 9 x + 7$ by $x - 1$
197467	Solve the Inequality for x	2x<-8(3/2x-3/2)-2	$2 x < - 8 (\frac{3}{2} x - \frac{3}{2}) - 2$
197468	Solve the Inequality for x	x(x-1)>0	$x (x - 1) > 0$
197469	Solve for x	6x+x(x-13)=18	$6 x + x (x - 13) = 18$
197470	Solve for x	8x-(6x-9)+(3x-2)=4-(7x-8)	$8 x - (6 x - 9) + (3 x - 2) = 4 - (7 x - 8)$
197471	Simplify	(m^3)^-1(x^2)^5	${(m^{3})}^{- 1} {(x^{2})}^{5}$
197472	Find f(g(x))	f(x)=-1/(6x) g(x)=1/(6x)	$f (x) = - \frac{1}{6 x}$ $g (x) = \frac{1}{6 x}$
197473	Simplify	-14-2x-10+3y+8x-16y	$- 14 - 2 x - 10 + 3 y + 8 x - 16 y$
197474	Evaluate	2+(30-8÷4)	$2 + (30 - 8 \div 4)$
197475	Find All Complex Solutions	x^(2/7)=2	$x^{\frac{2}{7}} = 2$
197476	Simplify	(x+1/3)^3	${(x + \frac{1}{3})}^{3}$
197477	Simplify	7 square root of 2+3 square root of 2+ square root of 2	$7 \sqrt{2} + 3 \sqrt{2} + \sqrt{2}$
197478	Solve the Inequality for x	5+8x<3(2x+4)	$5 + 8 x < 3 (2 x + 4)$
197479	Subtract	1--1/2	$1 - - \frac{1}{2}$
197480	Multiply	(3m^3-1/2y)(3m^3-1/2y)	$(3 m^{3} - \frac{1}{2} y) (3 m^{3} - \frac{1}{2} y)$
197481	Simplify	1/(1-1/(1-1/x))	$\frac{1}{1 - \frac{1}{1 - \frac{1}{x}}}$
197482	Solve for x	(3x-1)/(x^2+7x+12)=1/(2x+6)+7/(6x+24)	$\frac{3 x - 1}{x^{2} + 7 x + 12} = \frac{1}{2 x + 6} + \frac{7}{6 x + 24}$
197483	Solve for x	3(x-4)(49x^2-16)=0	$3 (x - 4) (49 x^{2} - 16) = 0$
197484	Factor	49x^6-70ax^3y^2+25a^2y^4	$49 x^{6} - 70 a x^{3} y^{2} + 25 a^{2} y^{4}$
197485	Find the Distance Between Two Points	(2,-8) and (-6,-1)	$(2, - 8)$ and $(- 6, - 1)$
197486	Graph	f(x)<3(x-2)^2-5	$f (x) < 3 {(x - 2)}^{2} - 5$
197487	Simplify	(3x^2y+2xy^2-3xy+4x)+(3xy^2-2x^2y+xy-3y)	$(3 x^{2} y + 2 x y^{2} - 3 x y + 4 x) + (3 x y^{2} - 2 x^{2} y + x y - 3 y)$
197488	Evaluate	3(x+h)^2+4(x+h)-2	$3 {(x + h)}^{2} + 4 (x + h) - 2$
197489	Convert to a Simplified Fraction	(9^-3)/(9^12)	$\frac{9^{- 3}}{9^{12}}$
197490	Solve for x	(x+30)+(x+25)=7x	$(x + 30) + (x + 25) = 7 x$
197491	Graph	6pi	$6 π$
197492	Convert to Interval Notation	2(x+1)-3(x-2)<x+6	$2 (x + 1) - 3 (x - 2) < x + 6$
197493	Simplify	b/15*21/b	$\frac{b}{15} \cdot \frac{21}{b}$
197494	Find the Roots (Zeros)	f(x)=(4x^2-36x)/(x-9)	$f (x) = \frac{4 x^{2} - 36 x}{x - 9}$
197495	Solve the Inequality for x	3/(x+5)>2	$\frac{3}{x + 5} > 2$
197496	Solve the System of Equations	2x+3y=16.9 5x=y+7.4	$2 x + 3 y = 16.9$ $5 x = y + 7.4$
197497	Find the Parabola with Focus (6,-4) and Directrix y=-7	(6,-4) y=-7	$(6, - 4)$ $y = - 7$
197498	Find the Discriminant	x(x-2)+1=0	$x (x - 2) + 1 = 0$
197499	Simplify	((2x^3y^4)/(z^3))*4	$(\frac{2 x^{3} y^{4}}{z^{3}}) \cdot 4$
197500	Solve for c	f=c/(c-e)	$f = \frac{c}{c - e}$