Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184401	Factor	x(w-1)+(w-1)	$x (w - 1) + (w - 1)$
184402	Solve Using the Quadratic Formula	x^3+27	$x^{3} + 27$
184403	Graph	y=-x^4+x^3+5x+2	$y = - x^{4} + x^{3} + 5 x + 2$
184404	Simplify	(2x^2-72)/(6x^2+12x-288)*(x^2+5x-24)/(x^2+3x-18)	$\frac{2 x^{2} - 72}{6 x^{2} + 12 x - 288} \cdot \frac{x^{2} + 5 x - 24}{x^{2} + 3 x - 18}$
184405	Solve for n	(n-6)/3=(n-2)/9	$\frac{n - 6}{3} = \frac{n - 2}{9}$
184406	Evaluate the Function	x^2+y^2=25	$x^{2} + y^{2} = 25$
184407	Graph	y=-1/(x+2)	$y = - \frac{1}{x + 2}$
184408	Find f(g(x))	f(x)=x^2-4x-9 g(x)=-3x-5	$f (x) = x^{2} - 4 x - 9$ $g (x) = - 3 x - 5$
184409	Find h(g(x))	g(x)=9+4x h(x)=(x+21)/5	$g (x) = 9 + 4 x$ $h (x) = \frac{x + 21}{5}$
184410	Simplify	seventh root of (n^26)/(n^3)	$\sqrt[7]{\frac{n^{26}}{n^{3}}}$
184411	Write in Standard Form	5 square root of -8+3 square root of -18	$5 \sqrt{- 8} + 3 \sqrt{- 18}$
184412	Find the x and y Intercepts	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
184413	Solve for x	(6x+2)/3-2=(4x-4)/6	$\frac{6 x + 2}{3} - 2 = \frac{4 x - 4}{6}$
184414	Find the Holes in the Graph	f(x)=(2x^2-5x-12)/(3x^2-11x-4)	$f (x) = \frac{2 x^{2} - 5 x - 12}{3 x^{2} - 11 x - 4}$
184415	Solve the System of Equations	4x+y=6 2x-3y=-4	$4 x + y = 6$ $2 x - 3 y = - 4$
184416	Simplify	( fourth root of y* square root of y)/( cube root of y)	$\frac{\sqrt[4]{y} \cdot \sqrt{y}}{\sqrt[3]{y}}$
184417	Solve the Inequality for x	-24<=2x-10<-6	$- 24 \leq 2 x - 10 < - 6$
184418	Graph	f(g(3))	$f (g (3))$
184419	Solve for k	F=k(qQ)/(r^2)	$F = k \frac{q Q}{r^{2}}$
184420	Write in Standard Form	(x+2)^2=0	${(x + 2)}^{2} = 0$
184421	Evaluate	4^-2x^-1y^2	$4^{- 2} x^{- 1} y^{2}$
184422	Simplify	(((5x^2+1)^(1/3))/(3x^(2/3))-(10x^(4/3))/(3(5x^2+1)^(2/3)))/((5x^2+1)^(2/3))	$\frac{\frac{{(5 x^{2} + 1)}^{\frac{1}{3}}}{3 x^{\frac{2}{3}}} - \frac{10 x^{\frac{4}{3}}}{3 {(5 x^{2} + 1)}^{\frac{2}{3}}}}{{(5 x^{2} + 1)}^{\frac{2}{3}}}$
184423	Find the x and y Intercepts	f(x)=(x^2+8x+12)/(5x^2+34x+45)	$f (x) = \frac{x^{2} + 8 x + 12}{5 x^{2} + 34 x + 45}$
184424	Graph	p=6-2q p=2+q	$p = 6 - 2 q$ $p = 2 + q$
184425	Evaluate	cube root of 5^4* fifth root of 5	$\sqrt[3]{5^{4}} \cdot \sqrt[5]{5}$
184426	Simplify	square root of (8x^3y^5)/(2xy^2)	$\sqrt{\frac{8 x^{3} y^{5}}{2 x y^{2}}}$
184427	Solve the Inequality for s	8/5>s+12/5	$\frac{8}{5} > s + \frac{12}{5}$
184428	Simplify	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
184429	Solve for x	3x+12-6x<=-9	$3 x + 12 - 6 x \leq - 9$
184430	Simplify	(x-5)+(x^2-1)	$(x - 5) + (x^{2} - 1)$
184431	Solve for b	5\|b+8\|-7>13	$5 \| b + 8 \| - 7 > 13$
184432	Simplify	cube root of 1/1000c^9d^12	$\sqrt[3]{\frac{1}{1000} c^{9} d^{12}}$
184433	Factor	3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5	$3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}$
184434	Find All Complex Solutions	3\|x-9\|=13	$3 \| x - 9 \| = 13$
184435	Find the Quotient	(x^3-8)/(x-2)	$\frac{x^{3} - 8}{x - 2}$
184436	Solve for x	4/7(21/8x+1/2)=-2(1/7-5/28x)	$\frac{4}{7} (\frac{21}{8} x + \frac{1}{2}) = - 2 (\frac{1}{7} - \frac{5}{28} x)$
184437	Solve Using the Quadratic Formula	x^4-81=0	$x^{4} - 81 = 0$
184438	Solve for a	29.5=a^(3/2)	$29.5 = a^{\frac{3}{2}}$
184439	Simplify	(((x^2y^3)^-1)/((x^-2y^2z)^2))^2	${(\frac{{(x^{2} y^{3})}^{- 1}}{{(x^{- 2} y^{2} z)}^{2}})}^{2}$
184440	Solve the Inequality for x	x^2-2x-35<0	$x^{2} - 2 x - 35 < 0$
184441	Solve the Inequality for x	square root of 3-5x> square root of x	$\sqrt{3 - 5 x} > \sqrt{x}$
184442	Evaluate Using the Given Value	7-5p+3q when p=1 and q=7	$7 - 5 p + 3 q$ when $p = 1$ and $q = 7$
184443	Find the Axis of Symmetry	y=(x-4)^2	$y = {(x - 4)}^{2}$
184444	Convert to Radical Form	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
184445	Solve for k	(-2(9-5k))/8=-6	$\frac{- 2 (9 - 5 k)}{8} = - 6$
184446	Simplify	-2/(2/x)	$- \frac{2}{\frac{2}{x}}$
184447	Solve for x	(\|3x-3\|)/5=6	$\frac{\| 3 x - 3 \|}{5} = 6$
184448	Solve Using the Quadratic Formula	x=(-(-2)+- square root of (-2)^2-41-8)/(2(1))	$x = \frac{- (- 2) + - \sqrt{{(- 2)}^{2} - 4 \cdot 1 \cdot - 8}}{2 (1)}$
184449	Graph	x^2<6x	$x^{2} < 6 x$
184450	Evaluate	-1/6(250)^2+100(250)	$- \frac{1}{6} {(250)}^{2} + 100 (250)$
184451	Solve for x	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
184452	Find the x and y Intercepts	f(x)=2x(x-5)(2x+3)	$f (x) = 2 x (x - 5) (2 x + 3)$
184453	Solve for x	42dx-7dx=70f	$42 d x - 7 d x = 70 f$
184454	Solve for n	-1/2(5n-6)=-6(-2n-5)	$- \frac{1}{2} (5 n - 6) = - 6 (- 2 n - 5)$
184455	Solve for w	natural log of 4w+9=5	$\ln (4 w + 9) = 5$
184456	Graph	y>=3x-4 y<-1/3x+2	$y \geq 3 x - 4$ $y < - \frac{1}{3} x + 2$
184457	Solve for p	-5(8p+6)=5-5p	$- 5 (8 p + 6) = 5 - 5 p$
184458	Evaluate	(4x^2)^3	${(4 x^{2})}^{3}$
184459	Graph	f^-1(x)=x/3+2/3	$f^{- 1} (x) = \frac{x}{3} + \frac{2}{3}$
184460	Graph	y<=x-2 y<=-3x-6	$y \leq x - 2$ $y \leq - 3 x - 6$
184461	Solve for x	-2(x+7)=9x	$- 2 (x + 7) = 9 x$
184462	Solve the System of Equations	9x-4y-5z=9 7x+4y-4z=-1 6x-6y+z=-5	$9 x - 4 y - 5 z = 9$ $7 x + 4 y - 4 z = - 1$ $6 x - 6 y + z = - 5$
184463	Simplify	(-10+6i)/(-6+8i)	$\frac{- 10 + 6 i}{- 6 + 8 i}$
184464	Find the Quotient	(10c^6+6c^5-24c)÷(-c^4)	$(10 c^{6} + 6 c^{5} - 24 c) \div (- c^{4})$
184465	Simplify the Radical Expression	square root of 5* square root of 10	$\sqrt{5} \cdot \sqrt{10}$
184466	Find the Domain and Range	f(x)=\|2-x\|	$f (x) = \| 2 - x \|$
184467	Simplify	(6x^5y^2-3x^2y^3)/(3x^4y)	$\frac{6 x^{5} y^{2} - 3 x^{2} y^{3}}{3 x^{4} y}$
184468	Solve the Inequality for x	x^3+4x^2>=4x+16	$x^{3} + 4 x^{2} \geq 4 x + 16$
184469	Simplify the Radical Expression	(4^6)(4^-8)	$(4^{6}) (4^{- 8})$
184470	Simplify	6(3x-8x^3+x-4x^3)	$6 (3 x - 8 x^{3} + x - 4 x^{3})$
184471	Solve the Inequality for s	6<-3/10s	$6 < - \frac{3}{10} s$
184472	Simplify	(5x^4y^3)^(2/9)	${(5 x^{4} y^{3})}^{\frac{2}{9}}$
184473	Simplify	3(a+1)+(a+4)(2+a)	$3 (a + 1) + (a + 4) (2 + a)$
184474	Solve the System of Equations	y=x^2 and y=2x-1	$y = x^{2}$ and $y = 2 x - 1$
184475	Evaluate Using the Given Value	b/c=a , c	$\frac{b}{c} = a$ , $c$
184476	Evaluate	(1+i)(1-i)	$(1 + i) (1 - i)$
184477	Simplify	6m^2n^2-3mn+14mn+10m^2n^2+9	$6 m^{2} n^{2} - 3 m n + 14 m n + 10 m^{2} n^{2} + 9$
184478	Find the Exact Value	sin((5pi)/3)^2	$\sin^{2} (\frac{5 π}{3})$
184479	Find the Inverse	f(x)=1/(x^2-1)	$f (x) = \frac{1}{x^{2} - 1}$
184480	Graph	2x^2-18x<-28	$2 x^{2} - 18 x < - 28$
184481	Find the Product	(x+1)(3x-2)	$(x + 1) (3 x - 2)$
184482	Write the Fraction in Simplest Form	3/4-2/3	$\frac{3}{4} - \frac{2}{3}$
184483	Solve for x	square root of 6+2x=1+ square root of x+4	$\sqrt{6 + 2 x} = 1 + \sqrt{x + 4}$
184484	Divide Using Long Polynomial Division	(6C^3-17C^2+6G+8)÷(3C-4)	$(6 C^{3} - 17 C^{2} + 6 G + 8) \div (3 C - 4)$
184485	Convert to Interval Notation	(3(2x+7))/-3>x+1	$\frac{3 (2 x + 7)}{- 3} > x + 1$
184486	Simplify	(r+3s)/(s+r)-(3s^2)/(s^2-r^2)+r/(s-r)	$\frac{r + 3 s}{s + r} - \frac{3 s^{2}}{s^{2} - r^{2}} + \frac{r}{s - r}$
184487	Evaluate	(-1)+(-2 2/5)	$(- 1) + (- 2 \frac{2}{5})$
184488	Solve for h	-3(h-6)=5(2h+3)	$- 3 (h - 6) = 5 (2 h + 3)$
184489	Solve the Inequality for x	3(x+2)>0	$3 (x + 2) > 0$
184490	Solve the Inequality for x	5/6(3-x)-1/2(x-4)>=1/3(2x-3)-x	$\frac{5}{6} (3 - x) - \frac{1}{2} (x - 4) \geq \frac{1}{3} (2 x - 3) - x$
184491	Solve the Inequality for x	15/(x+3)>4	$\frac{15}{x + 3} > 4$
184492	Solve for x	(x-1)/3-(x-5)/2=1/6	$\frac{x - 1}{3} - \frac{x - 5}{2} = \frac{1}{6}$
184493	Simplify	x(x-y)+y(y-x)	$x (x - y) + y (y - x)$
184494	Write as a Single Logarithm	3 log of 5	$3 \log (5)$
184495	Simplify	6 square root of 3*6 square root of 3	$6 \sqrt{3} \cdot 6 \sqrt{3}$
184496	Find the End Behavior	f(x)=11-18x^2-5x^5-12x^4-2x	$f (x) = 11 - 18 x^{2} - 5 x^{5} - 12 x^{4} - 2 x$
184497	Graph Using a Table of Values	f(x)=1/2(4)^x	$f (x) = \frac{1}{2} {(4)}^{x}$
184498	Solve for c	p(x)=cx^3-15x-68	$p (x) = c x^{3} - 15 x - 68$
184499	Simplify	(6x^4-216x^2)/(x^2-5x-6)*(x^2+10x+9)/(3x^2+45x+162)	$\frac{6 x^{4} - 216 x^{2}}{x^{2} - 5 x - 6} \cdot \frac{x^{2} + 10 x + 9}{3 x^{2} + 45 x + 162}$
184500	Solve the System of Equations	y=x-2 y=-2x+7	$y = x - 2$ $y = - 2 x + 7$