Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184401	Simplify	(4d^3e^5)^7	${(4 d^{3} e^{5})}^{7}$
184402	Simplify	(16mn^3)/(-8m^2n^2)	$\frac{16 m n^{3}}{- 8 m^{2} n^{2}}$
184403	Solve for x	6x=9+x^2	$6 x = 9 + x^{2}$
184404	Divide	(x/(x-6))÷((x+6)/x)	$\frac{x}{x - 6} \div \frac{x + 6}{x}$
184405	Solve for x	x+(2x+5)/(x+6)=2	$x + \frac{2 x + 5}{x + 6} = 2$
184406	Solve for x	(4x)/(x-3)+x/2=12/(x-3)	$\frac{4 x}{x - 3} + \frac{x}{2} = \frac{12}{x - 3}$
184407	Solve for x	x^(1/4)+3=0	$x^{\frac{1}{4}} + 3 = 0$
184408	Factor	f(x)=x^3+2x^2-4x-8	$f (x) = x^{3} + 2 x^{2} - 4 x - 8$
184409	Simplify	2 square root of 160x^2-4x square root of 10	$2 \sqrt{160 x^{2}} - 4 x \sqrt{10}$
184410	Solve for d	3/5(15d+20)-1/6(18d-12)=38	$\frac{3}{5} (15 d + 20) - \frac{1}{6} (18 d - 12) = 38$
184411	Find the Inverse	f(x)=7(x-3)^(1/5)	$f (x) = 7 {(x - 3)}^{\frac{1}{5}}$
184412	Simplify	(7x^4-9x^3-4x^2+5x+6)-(2x^4+3x^3-x^2+x-4)	$(7 x^{4} - 9 x^{3} - 4 x^{2} + 5 x + 6) - (2 x^{4} + 3 x^{3} - x^{2} + x - 4)$
184413	Subtract	(4x^4+2y^3-6z^3+4)-(-9x^4-3y^3+4z^3+9)	$(4 x^{4} + 2 y^{3} - 6 z^{3} + 4) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
184414	Divide Using Long Polynomial Division	(2x^3-18x-45+5x^2)÷(x+5)	$(2 x^{3} - 18 x - 45 + 5 x^{2}) \div (x + 5)$
184415	Graph	f(x)=(x+1)(x^2+2)	$f (x) = (x + 1) (x^{2} + 2)$
184416	Factor	x(w-1)+(w-1)	$x (w - 1) + (w - 1)$
184417	Solve Using the Quadratic Formula	x^3+27	$x^{3} + 27$
184418	Graph	y=-x^4+x^3+5x+2	$y = - x^{4} + x^{3} + 5 x + 2$
184419	Simplify	(2x^2-72)/(6x^2+12x-288)*(x^2+5x-24)/(x^2+3x-18)	$\frac{2 x^{2} - 72}{6 x^{2} + 12 x - 288} \cdot \frac{x^{2} + 5 x - 24}{x^{2} + 3 x - 18}$
184420	Solve for n	(n-6)/3=(n-2)/9	$\frac{n - 6}{3} = \frac{n - 2}{9}$
184421	Evaluate the Function	x^2+y^2=25	$x^{2} + y^{2} = 25$
184422	Graph	y=-1/(x+2)	$y = - \frac{1}{x + 2}$
184423	Find f(g(x))	f(x)=x^2-4x-9 g(x)=-3x-5	$f (x) = x^{2} - 4 x - 9$ $g (x) = - 3 x - 5$
184424	Find h(g(x))	g(x)=9+4x h(x)=(x+21)/5	$g (x) = 9 + 4 x$ $h (x) = \frac{x + 21}{5}$
184425	Simplify	seventh root of (n^26)/(n^3)	$\sqrt[7]{\frac{n^{26}}{n^{3}}}$
184426	Write in Standard Form	5 square root of -8+3 square root of -18	$5 \sqrt{- 8} + 3 \sqrt{- 18}$
184427	Find the x and y Intercepts	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
184428	Solve for x	(6x+2)/3-2=(4x-4)/6	$\frac{6 x + 2}{3} - 2 = \frac{4 x - 4}{6}$
184429	Find the Holes in the Graph	f(x)=(2x^2-5x-12)/(3x^2-11x-4)	$f (x) = \frac{2 x^{2} - 5 x - 12}{3 x^{2} - 11 x - 4}$
184430	Solve the System of Equations	4x+y=6 2x-3y=-4	$4 x + y = 6$ $2 x - 3 y = - 4$
184431	Simplify	( fourth root of y* square root of y)/( cube root of y)	$\frac{\sqrt[4]{y} \cdot \sqrt{y}}{\sqrt[3]{y}}$
184432	Solve the Inequality for x	-24<=2x-10<-6	$- 24 \leq 2 x - 10 < - 6$
184433	Graph	f(g(3))	$f (g (3))$
184434	Solve for k	F=k(qQ)/(r^2)	$F = k \frac{q Q}{r^{2}}$
184435	Write in Standard Form	(x+2)^2=0	${(x + 2)}^{2} = 0$
184436	Evaluate	4^-2x^-1y^2	$4^{- 2} x^{- 1} y^{2}$
184437	Simplify	(((5x^2+1)^(1/3))/(3x^(2/3))-(10x^(4/3))/(3(5x^2+1)^(2/3)))/((5x^2+1)^(2/3))	$\frac{\frac{{(5 x^{2} + 1)}^{\frac{1}{3}}}{3 x^{\frac{2}{3}}} - \frac{10 x^{\frac{4}{3}}}{3 {(5 x^{2} + 1)}^{\frac{2}{3}}}}{{(5 x^{2} + 1)}^{\frac{2}{3}}}$
184438	Find the x and y Intercepts	f(x)=(x^2+8x+12)/(5x^2+34x+45)	$f (x) = \frac{x^{2} + 8 x + 12}{5 x^{2} + 34 x + 45}$
184439	Graph	p=6-2q p=2+q	$p = 6 - 2 q$ $p = 2 + q$
184440	Evaluate	cube root of 5^4* fifth root of 5	$\sqrt[3]{5^{4}} \cdot \sqrt[5]{5}$
184441	Simplify	square root of (8x^3y^5)/(2xy^2)	$\sqrt{\frac{8 x^{3} y^{5}}{2 x y^{2}}}$
184442	Solve the Inequality for s	8/5>s+12/5	$\frac{8}{5} > s + \frac{12}{5}$
184443	Simplify	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
184444	Solve for x	3x+12-6x<=-9	$3 x + 12 - 6 x \leq - 9$
184445	Simplify	(x-5)+(x^2-1)	$(x - 5) + (x^{2} - 1)$
184446	Solve for b	5\|b+8\|-7>13	$5 \| b + 8 \| - 7 > 13$
184447	Simplify	cube root of 1/1000c^9d^12	$\sqrt[3]{\frac{1}{1000} c^{9} d^{12}}$
184448	Factor	3a^2b+6a^3b^2-5a^4b^3+8a^5b^4+4a^6b^5	$3 a^{2} b + 6 a^{3} b^{2} - 5 a^{4} b^{3} + 8 a^{5} b^{4} + 4 a^{6} b^{5}$
184449	Find All Complex Solutions	3\|x-9\|=13	$3 \| x - 9 \| = 13$
184450	Find the Quotient	(x^3-8)/(x-2)	$\frac{x^{3} - 8}{x - 2}$
184451	Solve for x	4/7(21/8x+1/2)=-2(1/7-5/28x)	$\frac{4}{7} (\frac{21}{8} x + \frac{1}{2}) = - 2 (\frac{1}{7} - \frac{5}{28} x)$
184452	Solve Using the Quadratic Formula	x^4-81=0	$x^{4} - 81 = 0$
184453	Solve for a	29.5=a^(3/2)	$29.5 = a^{\frac{3}{2}}$
184454	Simplify	(((x^2y^3)^-1)/((x^-2y^2z)^2))^2	${(\frac{{(x^{2} y^{3})}^{- 1}}{{(x^{- 2} y^{2} z)}^{2}})}^{2}$
184455	Solve the Inequality for x	x^2-2x-35<0	$x^{2} - 2 x - 35 < 0$
184456	Solve the Inequality for x	square root of 3-5x> square root of x	$\sqrt{3 - 5 x} > \sqrt{x}$
184457	Evaluate Using the Given Value	7-5p+3q when p=1 and q=7	$7 - 5 p + 3 q$ when $p = 1$ and $q = 7$
184458	Find the Axis of Symmetry	y=(x-4)^2	$y = {(x - 4)}^{2}$
184459	Convert to Radical Form	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
184460	Solve for k	(-2(9-5k))/8=-6	$\frac{- 2 (9 - 5 k)}{8} = - 6$
184461	Simplify	-2/(2/x)	$- \frac{2}{\frac{2}{x}}$
184462	Solve for x	(\|3x-3\|)/5=6	$\frac{\| 3 x - 3 \|}{5} = 6$
184463	Solve Using the Quadratic Formula	x=(-(-2)+- square root of (-2)^2-41-8)/(2(1))	$x = \frac{- (- 2) + - \sqrt{{(- 2)}^{2} - 4 \cdot 1 \cdot - 8}}{2 (1)}$
184464	Graph	x^2<6x	$x^{2} < 6 x$
184465	Evaluate	-1/6(250)^2+100(250)	$- \frac{1}{6} {(250)}^{2} + 100 (250)$
184466	Solve for x	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
184467	Find the x and y Intercepts	f(x)=2x(x-5)(2x+3)	$f (x) = 2 x (x - 5) (2 x + 3)$
184468	Solve for x	42dx-7dx=70f	$42 d x - 7 d x = 70 f$
184469	Solve for n	-1/2(5n-6)=-6(-2n-5)	$- \frac{1}{2} (5 n - 6) = - 6 (- 2 n - 5)$
184470	Solve for w	natural log of 4w+9=5	$\ln (4 w + 9) = 5$
184471	Graph	y>=3x-4 y<-1/3x+2	$y \geq 3 x - 4$ $y < - \frac{1}{3} x + 2$
184472	Solve for p	-5(8p+6)=5-5p	$- 5 (8 p + 6) = 5 - 5 p$
184473	Evaluate	(4x^2)^3	${(4 x^{2})}^{3}$
184474	Graph	f^-1(x)=x/3+2/3	$f^{- 1} (x) = \frac{x}{3} + \frac{2}{3}$
184475	Graph	y<=x-2 y<=-3x-6	$y \leq x - 2$ $y \leq - 3 x - 6$
184476	Solve for x	-2(x+7)=9x	$- 2 (x + 7) = 9 x$
184477	Solve the System of Equations	9x-4y-5z=9 7x+4y-4z=-1 6x-6y+z=-5	$9 x - 4 y - 5 z = 9$ $7 x + 4 y - 4 z = - 1$ $6 x - 6 y + z = - 5$
184478	Simplify	(-10+6i)/(-6+8i)	$\frac{- 10 + 6 i}{- 6 + 8 i}$
184479	Find the Quotient	(10c^6+6c^5-24c)÷(-c^4)	$(10 c^{6} + 6 c^{5} - 24 c) \div (- c^{4})$
184480	Simplify the Radical Expression	square root of 5* square root of 10	$\sqrt{5} \cdot \sqrt{10}$
184481	Find the Domain and Range	f(x)=\|2-x\|	$f (x) = \| 2 - x \|$
184482	Simplify	(6x^5y^2-3x^2y^3)/(3x^4y)	$\frac{6 x^{5} y^{2} - 3 x^{2} y^{3}}{3 x^{4} y}$
184483	Solve the Inequality for x	x^3+4x^2>=4x+16	$x^{3} + 4 x^{2} \geq 4 x + 16$
184484	Simplify the Radical Expression	(4^6)(4^-8)	$(4^{6}) (4^{- 8})$
184485	Simplify	6(3x-8x^3+x-4x^3)	$6 (3 x - 8 x^{3} + x - 4 x^{3})$
184486	Solve the Inequality for s	6<-3/10s	$6 < - \frac{3}{10} s$
184487	Simplify	(5x^4y^3)^(2/9)	${(5 x^{4} y^{3})}^{\frac{2}{9}}$
184488	Simplify	3(a+1)+(a+4)(2+a)	$3 (a + 1) + (a + 4) (2 + a)$
184489	Solve the System of Equations	y=x^2 and y=2x-1	$y = x^{2}$ and $y = 2 x - 1$
184490	Evaluate Using the Given Value	b/c=a , c	$\frac{b}{c} = a$ , $c$
184491	Evaluate	(1+i)(1-i)	$(1 + i) (1 - i)$
184492	Simplify	6m^2n^2-3mn+14mn+10m^2n^2+9	$6 m^{2} n^{2} - 3 m n + 14 m n + 10 m^{2} n^{2} + 9$
184493	Find the Exact Value	sin((5pi)/3)^2	$\sin^{2} (\frac{5 π}{3})$
184494	Find the Inverse	f(x)=1/(x^2-1)	$f (x) = \frac{1}{x^{2} - 1}$
184495	Graph	2x^2-18x<-28	$2 x^{2} - 18 x < - 28$
184496	Find the Product	(x+1)(3x-2)	$(x + 1) (3 x - 2)$
184497	Write the Fraction in Simplest Form	3/4-2/3	$\frac{3}{4} - \frac{2}{3}$
184498	Solve for x	square root of 6+2x=1+ square root of x+4	$\sqrt{6 + 2 x} = 1 + \sqrt{x + 4}$
184499	Divide Using Long Polynomial Division	(6C^3-17C^2+6G+8)÷(3C-4)	$(6 C^{3} - 17 C^{2} + 6 G + 8) \div (3 C - 4)$
184500	Convert to Interval Notation	(3(2x+7))/-3>x+1	$\frac{3 (2 x + 7)}{- 3} > x + 1$