Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207501	Solve the System of Equations	y=3/2x-7 x+2y=-6	$y = \frac{3}{2} x - 7$ $x + 2 y = - 6$
207502	Solve for x	(3(7x+13))/(12x+15)=2	$\frac{3 (7 x + 13)}{12 x + 15} = 2$
207503	Find All Complex Solutions	square root of 2x- square root of 36-2x=6	$\sqrt{2 x} - \sqrt{36 - 2 x} = 6$
207504	Solve the Inequality for x	(x-4)/5>=2	$\frac{x - 4}{5} \geq 2$
207505	Simplify	cube root of -125/8	$\sqrt[3]{- \frac{125}{8}}$
207506	Solve for x	4^(1-x)=1/4	$4^{1 - x} = \frac{1}{4}$
207507	Simplify	(4 square root of 15y^6-18 square root of 45y^5)/(2 square root of 5y^4)y^3	$\frac{4 \sqrt{15 y^{6}} - 18 \sqrt{45 y^{5}}}{2 \sqrt{5 y^{4}}} y^{3}$
207508	Simplify	(2x)/(x^(1/3)z^-3)	$\frac{2 x}{x^{\frac{1}{3}} z^{- 3}}$
207509	Solve for x	x square root of 3 = square root of 33	$x \sqrt{3} = \sqrt{33}$
207510	Find the Degree, Leading Term, and Leading Coefficient	h(x)=5x^3-7x^-2+x-1	$h (x) = 5 x^{3} - 7 x^{- 2} + x - 1$
207511	Graph	y=x+2 3x+y=-6	$y = x + 2$ $3 x + y = - 6$
207512	Solve for x	(x+3)/5+2x=0	$\frac{x + 3}{5} + 2 x = 0$
207513	Solve by Graphing	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
207514	Simplify	(a/(1+a)+(1-a)/a)/((1+a)/a+a/(1-a))	$\frac{\frac{a}{1 + a} + \frac{1 - a}{a}}{\frac{1 + a}{a} + \frac{a}{1 - a}}$
207515	Solve for x	square root of 4x-2 = square root of 2x-2	$\sqrt{4 x} - 2 = \sqrt{2 x - 2}$
207516	Find the Product	((x^2+2xy+y^2)(x^2-2xy+y^2))/(2(x+y))=0	$\frac{(x^{2} + 2 x y + y^{2}) (x^{2} - 2 x y + y^{2})}{2 (x + y)} = 0$
207517	Simplify the Radical Expression	sixth root of 125	$\sqrt[6]{125}$
207518	Solve for x	3(9x+2)+21x=1/2(6x-8)+75x	$3 (9 x + 2) + 21 x = \frac{1}{2} (6 x - 8) + 75 x$
207519	Convert to a Decimal	54deg	$54$ degrees
207520	Write the Fraction in Simplest Form	(5y)/((3y^5)^2)	$\frac{5 y}{{(3 y^{5})}^{2}}$
207521	Find the Degree, Leading Term, and Leading Coefficient	6x^3+1/8x^4+2	$6 x^{3} + \frac{1}{8} x^{4} + 2$
207522	Solve the Inequality for x	37>7-6x>-17	$37 > 7 - 6 x > - 17$
207523	Simplify	(15ab^5c^8)/(18ab^3c^9)	$\frac{15 a b^{5} c^{8}}{18 a b^{3} c^{9}}$
207524	Solve for x	1+2/(x-3)=(x+3)/(x^2-9)	$1 + \frac{2}{x - 3} = \frac{x + 3}{x^{2} - 9}$
207525	Simplify	1+x+(x^2)/(1-x)	$1 + x + \frac{x^{2}}{1 - x}$
207526	Simplify	((3x^2y^6)/(6xy^2))^3	${(\frac{3 x^{2} y^{6}}{6 x y^{2}})}^{3}$
207527	Simplify	(-7ab^4c)^3((2a^2c)^2)^3	${(- 7 a b^{4} c)}^{3} {({(2 a^{2} c)}^{2})}^{3}$
207528	Simplify	(x^(2n)y^n)/(x^ny)	$\frac{x^{2 n} y^{n}}{x^{n} y}$
207529	Evaluate	x^2-1=0	$x^{2} - 1 = 0$
207530	Find the Domain and Range	f(x)=x/( square root of x-4)	$f (x) = \frac{x}{\sqrt{x - 4}}$
207531	Simplify	(( square root of 7-3i)/2)(( square root of 7+3i)/4)	$(\frac{\sqrt{7} - 3 i}{2}) (\frac{\sqrt{7} + 3 i}{4})$
207532	Divide	(2n^3+4n^2+n)÷4n	$(2 n^{3} + 4 n^{2} + n) \div 4 n$
207533	Find the Roots (Zeros)	3x^2=-4x	$3 x^{2} = - 4 x$
207534	Find the Degree, Leading Term, and Leading Coefficient	h(p)=6p-p^3-2	$h (p) = 6 p - p^{3} - 2$
207535	Solve for x	-arcsec( square root of x)+arccsc( square root of x)+arcsin(0)=0	$- arcsec (\sqrt{x}) + arccsc (\sqrt{x}) + \arcsin (0) = 0$
207536	Solve the Inequality for x	-1<9+x<17	$- 1 < 9 + x < 17$
207537	Simplify	(( square root of 6+ square root of 15+ square root of 3)/( fourth root of 4+ square root of 5+5^0))^2	${(\frac{\sqrt{6} + \sqrt{15} + \sqrt{3}}{\sqrt[4]{4} + \sqrt{5} + 5^{0}})}^{2}$
207538	Evaluate	((1+9)/-2)^2-4^2	${(\frac{1 + 9}{- 2})}^{2} - 4^{2}$
207539	Simplify	(6+2i)(6-2i)-(3-4i)(3+4i)	$(6 + 2 i) (6 - 2 i) - (3 - 4 i) (3 + 4 i)$
207540	Solve for x	16^(x+1)>=4^(4x+1)	$16^{x + 1} \geq 4^{4 x + 1}$
207541	Solve the System of Equations	5x=y+6 5x+2y=3	$5 x = y + 6$ $5 x + 2 y = 3$
207542	Simplify	( square root of 2)/2* square root of 3	$\frac{\sqrt{2}}{2} \cdot \sqrt{3}$
207543	Divide	( square root of 48x^3y^7)/( square root of 8x^5y)	$\frac{\sqrt{48 x^{3} y^{7}}}{\sqrt{8 x^{5} y}}$
207544	Simplify	((2x^2)^3(3y^4)^3)/(9x^4y^7)-18x^2y^5	$\frac{{(2 x^{2})}^{3} {(3 y^{4})}^{3}}{9 x^{4} y^{7}} - 18 x^{2} y^{5}$
207545	Simplify	y(9-0.2x)	$y (9 - 0.2 x)$
207546	Divide	(-3/8)÷(-2/3)	$- \frac{3}{8} \div (- \frac{2}{3})$
207547	Solve for x	4(x-2)+x=1/2(10x-6)	$4 (x - 2) + x = \frac{1}{2} (10 x - 6)$
207548	Simplify	(n+7)*5n	$(n + 7) \cdot 5 n$
207549	Solve the Inequality for p	p+12>9	$p + 12 > 9$
207550	Evaluate	x^4=81	$x^{4} = 81$
207551	Simplify	2/(-2-3 square root of 2)	$\frac{2}{- 2 - 3 \sqrt{2}}$
207552	Solve for x	4(2+5(x-3))=8	$4 (2 + 5 (x - 3)) = 8$
207553	Evaluate	6+4x+12x-4	$6 + 4 x + 12 x - 4$
207554	Simplify	8h^2-1/3(33h+42)-3h^2	$8 h^{2} - \frac{1}{3} (33 h + 42) - 3 h^{2}$
207555	Simplify	-(3-3x)/21	$- \frac{3 - 3 x}{21}$
207556	Solve the System of Equations	y=1/2x y=x+2	$y = \frac{1}{2} x$ $y = x + 2$
207557	Solve for x	3^(-3x^2+3x)=(1/9)^(6x+21)	$3^{- 3 x^{2} + 3 x} = {(\frac{1}{9})}^{6 x + 21}$
207558	Simplify	(2^3)^-1(4m^3)^2	${(2^{3})}^{- 1} {(4 m^{3})}^{2}$
207559	Solve for x	-3(x+4)+15=6-4x	$- 3 (x + 4) + 15 = 6 - 4 x$
207560	Simplify the Radical Expression	( cube root of k^8)/( square root of k)	$\frac{\sqrt[3]{k^{8}}}{\sqrt{k}}$
207561	Solve for x	log base \|x+2\| of 64=3	$\log_{\| x + 2 \|} (64) = 3$
207562	Determine if a Polynomial	(x^3y^5)/9+y	$\frac{x^{3} y^{5}}{9} + y$
207563	Solve for x	(8x)/(x+2)=(x^2)/(x+2)+3	$\frac{8 x}{x + 2} = \frac{x^{2}}{x + 2} + 3$
207564	Simplify	((a^-6b^4)/(2a^-9b^-2))^-2*(ab^-3)	${(\frac{a^{- 6} b^{4}}{2 a^{- 9} b^{- 2}})}^{- 2} \cdot (a b^{- 3})$
207565	Solve for r	3^(r+1)=1	$3^{r + 1} = 1$
207566	Find the Product	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
207567	Find the Exact Value	sec(-540 degrees )	$\sec (- 540 °)$
207568	Solve for x	7(4x+1)-3x=5x-13	$7 (4 x + 1) - 3 x = 5 x - 13$
207569	Find the Degree	4xy^4-3x^3+2xy-6	$4 x y^{4} - 3 x^{3} + 2 x y - 6$
207570	Simplify	(1/(u*u^-8))^(3/7)	${(\frac{1}{u \cdot u^{- 8}})}^{\frac{3}{7}}$
207571	Evaluate	(4-i square root of 2)-(3+i square root of 2)+8i	$(4 - i \sqrt{2}) - (3 + i \sqrt{2}) + 8 i$
207572	Find All Complex Solutions	square root of x=3	$\sqrt{x} = 3$
207573	Evaluate	cube root of 3x=6	$\sqrt[3]{3 x} = 6$
207574	Simplify	10/(3x^2)*x/7	$\frac{10}{3 x^{2}} \cdot \frac{x}{7}$
207575	Determine the Possible Number of Real Roots	256/2401	$\frac{256}{2401}$
207576	Solve by Factoring	x^2+(x+1)^2=613	$x^{2} + {(x + 1)}^{2} = 613$
207577	Solve for x	3/4x-8=x/3	$\frac{3}{4} x - 8 = \frac{x}{3}$
207578	Simplify	1/5+1/15+5/54+1/45	$\frac{1}{5} + \frac{1}{15} + \frac{5}{54} + \frac{1}{45}$
207579	Divide	(-3/24)÷(1/(5n))	$- \frac{3}{24} \div \frac{1}{5 n}$
207580	Solve for a	3ab-15b-7a+35=0	$3 a b - 15 b - 7 a + 35 = 0$
207581	Simplify	3(x/(x+1))^2-2	$3 {(\frac{x}{x + 1})}^{2} - 2$
207582	Find the Domain and Range	y=4sec(1/2x)	$y = 4 \sec (\frac{1}{2} x)$
207583	Simplify the Radical Expression	( cube root of 27)^2	${(\sqrt[3]{27})}^{2}$
207584	Evaluate	(2x^4y^-4)/(8x^7y^3)	$\frac{2 x^{4} y^{- 4}}{8 x^{7} y^{3}}$
207585	Solve for x	x/2+2x^2=-x(x-1)	$\frac{x}{2} + 2 x^{2} = - x (x - 1)$
207586	Multiply	2 square root of 3*4 square root of 8	$2 \sqrt{3} \cdot 4 \sqrt{8}$
207587	Divide	(10 square root of 18)÷2 square root of 9	$10 \sqrt{18} \div 2 \sqrt{9}$
207588	Find the Domain and Range	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
207589	Simplify the Radical Expression	5 cube root of 32x^3y^4-3xy cube root of 4y	$5 \sqrt[3]{32 x^{3} y^{4}} - 3 x y \sqrt[3]{4 y}$
207590	Solve for x	4^(2x)*1/16=4^(6x+18)	$4^{2 x} \cdot \frac{1}{16} = 4^{6 x + 18}$
207591	Solve for x	square root of 8x+4=2x+1	$\sqrt{8 x + 4} = 2 x + 1$
207592	Solve for x	4/5(x-3/10)=-2 1/4	$\frac{4}{5} (x - \frac{3}{10}) = - 2 \frac{1}{4}$
207593	Graph	p(x)=2+1/(2x+4)	$p (x) = 2 + \frac{1}{2 x + 4}$
207594	Solve for x	-5-8/(x-1)=-6/(x-1)	$- 5 - \frac{8}{x - 1} = - \frac{6}{x - 1}$
207595	Solve for x	9^(3x-2)=27^(2x-2)	$9^{3 x - 2} = 27^{2 x - 2}$
207596	Evaluate	(-5+- square root of 25-(4)26)/-10	$\frac{- 5 + - \sqrt{25 - (4) \cdot 2 \cdot 6}}{- 10}$
207597	Simplify the Radical Expression	( cube root of 5)^4	${(\sqrt[3]{5})}^{4}$
207598	Simplify	((r-3)(r+9))/((r+2)(r+9))*(2(r+2))/(r-3)	$\frac{(r - 3) (r + 9)}{(r + 2) (r + 9)} \cdot \frac{2 (r + 2)}{r - 3}$
207599	Simplify	( square root of 200x^3y^4)/( square root of 10xy^4)	$\frac{\sqrt{200 x^{3} y^{4}}}{\sqrt{10 x y^{4}}}$
207600	Graph	2(x-y)>=5	$2 (x - y) \geq 5$