Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202601	Simplify	square root of (pi- square root of 17)^2	$\sqrt{{(π - \sqrt{17})}^{2}}$
202602	Solve the Inequality for x	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
202603	Solve for a	(1+ square root of 3i)^2=a+ib	${(1 + \sqrt{3} i)}^{2} = a + i b$
202604	Solve by Graphing	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
202605	Factor	-60+60n^2+50n^3	$- 60 + 60 n^{2} + 50 n^{3}$
202606	Solve for c	y=ca^x	$y = c a^{x}$
202607	Simplify	3/4ab-5/12ab	$\frac{3}{4} a b - \frac{5}{12} a b$
202608	Solve for x	4 square root of x+1=x+1	$4 \sqrt{x + 1} = x + 1$
202609	Solve the System of Inequalities	x<=-3 or x>4	$x \leq - 3$ or $x > 4$
202610	Simplify the Radical Expression	cube root of -64/(x^6)	$\sqrt[3]{\frac{- 64}{x^{6}}}$
202611	Simplify	(90x+2x^2-4x^3)/(3x^2-5x-50)	$\frac{90 x + 2 x^{2} - 4 x^{3}}{3 x^{2} - 5 x - 50}$
202612	Solve by Addition/Elimination	-2x-y=12 y=-26-9x	$- 2 x - y = 12$ $y = - 26 - 9 x$
202613	Solve by Isolating the Absolute Value for a	(a+b/c)(d-e)=f	$(a + \frac{b}{c}) (d - e) = f$
202614	Simplify	(8x^6)/(9x^2)*(3x^3)/(12x)	$\frac{8 x^{6}}{9 x^{2}} \cdot \frac{3 x^{3}}{12 x}$
202615	Simplify	square root of (2x)^2 square root of 2y	$\sqrt{{(2 x)}^{2} \sqrt{2 y}}$
202616	Find the Domain and Range	y=-5sin(3x-pi/2)+6	$y = - 5 \sin (3 x - \frac{π}{2}) + 6$
202617	Solve for x	x^(3/4)+10=0	$x^{\frac{3}{4}} + 10 = 0$
202618	Simplify the Radical Expression	6/(6^(1/4))	$\frac{6}{6^{\frac{1}{4}}}$
202619	Solve for x	3/4x-1 5/8=2 3/4	$\frac{3}{4} x - 1 \frac{5}{8} = 2 \frac{3}{4}$
202620	Find the GCF	14c^2+2c	$14 c^{2} + 2 c$
202621	Graph	y=-4x^4-4x^3+9x^2+x-2	$y = - 4 x^{4} - 4 x^{3} + 9 x^{2} + x - 2$
202622	Solve for x	3\|x\|=0	$3 \| x \| = 0$
202623	Simplify	(5x^2)/2-2/x	$\frac{5 x^{2}}{2} - \frac{2}{x}$
202624	Solve for x	square root of x+1 = square root of 9x-2	$\sqrt{x} + 1 = \sqrt{9 x - 2}$
202625	Solve for y	fourth root of y+2+9=14	$\sqrt[4]{y + 2} + 9 = 14$
202626	Solve for A	A^2+2^2=5^2	$A^{2} + 2^{2} = 5^{2}$
202627	Solve for y	y=3x+2 , x=0.5	$y = 3 x + 2$ , $x = 0.5$
202628	Solve for y	y=7x , x=-5	$y = 7 x$ , $x = - 5$
202629	Simplify	cube root of cube root of 9	$\sqrt[3]{\sqrt[3]{9}}$
202630	Solve for b	16ab^2=25	$16 a b^{2} = 25$
202631	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^2-3x+5x^3-7	$f (x) = 4 x^{2} - 3 x + 5 x^{3} - 7$
202632	Solve for x	(2x)/5-9y=6	$\frac{2 x}{5} - 9 y = 6$
202633	Solve by Substitution	x+3y=12 5y=x+4	$x + 3 y = 12$ $5 y = x + 4$
202634	Simplify	(5x-5)/(3x)*9/(6x-6)	$\frac{5 x - 5}{3 x} \cdot \frac{9}{6 x - 6}$
202635	Simplify	2 square root of 180x^4yz^3	$2 \sqrt{180 x^{4} y z^{3}}$
202636	Simplify	(a^-1+b^-1)(a^-2b^-2)	$(a^{- 1} + b^{- 1}) (a^{- 2} b^{- 2})$
202637	Simplify	(3c)/(c-4)-2/5	$\frac{3 c}{c - 4} - \frac{2}{5}$
202638	Simplify the Radical Expression	fifth root of (x^6)/(y^10)	$\sqrt[5]{\frac{x^{6}}{y^{10}}}$
202639	Solve for x	-2 cube root of x-1 = cube root of x-10	$- 2 \sqrt[3]{x - 1} = \sqrt[3]{x - 10}$
202640	Solve for B	(3x+3)^2=9x^2+Bx+9	${(3 x + 3)}^{2} = 9 x^{2} + B x + 9$
202641	Simplify	(2^23^-3)/(2^-13)	$\frac{2^{2} \cdot 3^{- 3}}{2^{- 1} \cdot 3}$
202642	Simplify	(x^2+4y^2)(x^2-4y^2)	$(x^{2} + 4 y^{2}) (x^{2} - 4 y^{2})$
202643	Simplify	i^8+i^9+i^10+i^11	$i^{8} + i^{9} + i^{10} + i^{11}$
202644	Subtract	-2/(n+4)-(n^2)/(n^2-16)	$- \frac{2}{n + 4} - \frac{n^{2}}{n^{2} - 16}$
202645	Solve by Graphing	y=7/4x-3 y=x	$y = \frac{7}{4} x - 3$ $y = x$
202646	Simplify the Radical Expression	((8^4)/(10^4))^(-1/4)	${(\frac{8^{4}}{10^{4}})}^{- \frac{1}{4}}$
202647	Simplify	2x^3(4x^3-6x+4)+9x(3x^5-6x^3+5)	$2 x^{3} (4 x^{3} - 6 x + 4) + 9 x (3 x^{5} - 6 x^{3} + 5)$
202648	Find the Roots (Zeros)	x^5+2x^3+x=0	$x^{5} + 2 x^{3} + x = 0$
202649	Find the Domain and Range	f(X)=2/(x-5)	$f (X) = \frac{2}{x - 5}$
202650	Solve for b	7(0.2b+0.9)=0.5b	$7 (0.2 b + 0.9) = 0.5 b$
202651	Simplify	1/3xy+2/5xy-2xz+3/2xy+4/9xz	$\frac{1}{3} x y + \frac{2}{5} x y - 2 x z + \frac{3}{2} x y + \frac{4}{9} x z$
202652	Solve the Inequality for x	2x-3y<6	$2 x - 3 y < 6$
202653	Solve for x	square root of 9-3x=3-x	$\sqrt{9 - 3 x} = 3 - x$
202654	Solve the System of Equations	x+y=15 4x+4y=10	$x + y = 15$ $4 x + 4 y = 10$
202655	Simplify	(2(x+3))/(16(x+3))	$\frac{2 (x + 3)}{16 (x + 3)}$
202656	Graph	FUCKU	$F U C K U$
202657	Simplify	((m^13)/(m^20))^-3	${(\frac{m^{13}}{m^{20}})}^{- 3}$
202658	Divide	(((a+3)^2)/(a-3))÷(5/(a^2-9))	$\frac{{(a + 3)}^{2}}{a - 3} \div \frac{5}{(a^{2} - 9)}$
202659	Convert to a Decimal	15rad	$15$ radians
202660	Divide Using Long Polynomial Division	x^3+x^2-2x+14 by x+3	$x^{3} + x^{2} - 2 x + 14$ by $x + 3$
202661	Simplify	4x^3y(x^2-2y)	$4 x^{3} y (x^{2} - 2 y)$
202662	Evaluate	3x-5=x+3	$3 x - 5 = x + 3$
202663	Convert to Scientific Notation	((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)	$\frac{(6.67 \times 10^{- 11}) (5.97 \times 10^{24})}{{(6.38 \times 10^{6})}^{2}}$
202664	Solve for x	square root of (2x-7)^2=7-2x	$\sqrt{{(2 x - 7)}^{2}} = 7 - 2 x$
202665	Simplify	((6x^-2y^2)^-1)/((6^4x^4y^5)^-4)	$\frac{{(6 x^{- 2} y^{2})}^{- 1}}{{(6^{4} x^{4} y^{5})}^{- 4}}$
202666	Rationalize the Denominator	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
202667	Simplify	natural log of e^(x+1)	$\ln (e^{x + 1})$
202668	Graph	y<=2x+1 2x-5y<=10	$y \leq 2 x + 1$ $2 x - 5 y \leq 10$
202669	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+25x^2+18x+14 is divided by 2x+7	Use the long division method to find the result when $6 x^{3} + 25 x^{2} + 18 x + 14$ is divided by $2 x + 7$
202670	Solve by Addition/Elimination	-6y+2=-4x y-2=x	$- 6 y + 2 = - 4 x$ $y - 2 = x$
202671	Find the Inverse	y=3 cube root of x+9	$y = 3 \sqrt[3]{x} + 9$
202672	Simplify	(w^-7*w^-6)^(3/26)	${(w^{- 7} \cdot w^{- 6})}^{\frac{3}{26}}$
202673	Solve by Substitution	y=7x-10 y=-3	$y = 7 x - 10$ $y = - 3$
202674	Solve for x	square root of x+12=2+ square root of x	$\sqrt{x + 12} = 2 + \sqrt{x}$
202675	Simplify	3 square root of 24x-6 square root of x/6- square root of 54x	$3 \sqrt{24 x} - 6 \sqrt{\frac{x}{6}} - \sqrt{54 x}$
202676	Find the End Behavior	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
202677	Evaluate	-3x^-2	$- 3 x^{- 2}$
202678	Simplify	((y^2)^2)/(y^4)	$\frac{{(y^{2})}^{2}}{y^{4}}$
202679	Simplify	cube root of square root of 9	$\sqrt[3]{\sqrt{9}}$
202680	Write as a Single Logarithm	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
202681	Evaluate	((- square root of 2)/2)/((- square root of 2)/2)	$\frac{\frac{- \sqrt{2}}{2}}{\frac{- \sqrt{2}}{2}}$
202682	Solve for x	1/4x+1/2(x+3)=5	$\frac{1}{4} x + \frac{1}{2} (x + 3) = 5$
202683	Write as a Single Logarithm	18(1/2 log of x+y-1/9 log of x-y)	$18 (\frac{1}{2} \log (x + y) - \frac{1}{9} \log (x - y))$
202684	Simplify	4b(2a^2-5(3ab-2b^2))+29ab^2	$4 b (2 a^{2} - 5 (3 a b - 2 b^{2})) + 29 a b^{2}$
202685	Solve for y	square root of y+ square root of y+2=6	$\sqrt{y} + \sqrt{y + 2} = 6$
202686	Solve for b	square root of -5-b = square root of 5b+25	$\sqrt{- 5 - b} = \sqrt{5 b + 25}$
202687	Multiply	4x^3y^3*(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} \cdot (3 x^{3} - 7 x y^{2} + 2 x y - y)$
202688	Evaluate	x^6+36=100	$x^{6} + 36 = 100$
202689	Simplify	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
202690	Simplify	fourth root of 81x^5y^4* fourth root of 32x^3y	$\sqrt[4]{81 x^{5} y^{4}} \cdot \sqrt[4]{32 x^{3} y}$
202691	Simplify	(cot(x))/(csc(x)^2)+(cot(x))/(sec(x)^2)	$\frac{\cot (x)}{\csc^{2} (x)} + \frac{\cot (x)}{\sec^{2} (x)}$
202692	Solve the Inequality for a	13>2/3a-1	$13 > \frac{2}{3} a - 1$
202693	Solve for x	(x-2)=-1/4(x-8)	$(x - 2) = - \frac{1}{4} (x - 8)$
202694	Rationalize the Denominator	square root of 5/16	$\sqrt{\frac{5}{16}}$
202695	Solve for y	-0.75(3y+2)=-3(2+1.5y)	$- 0.75 (3 y + 2) = - 3 (2 + 1.5 y)$
202696	Solve for x	5-2/5x=8	$5 - \frac{2}{5} x = 8$
202697	Evaluate	(16÷8)+(24÷6)	$(16 \div 8) + (24 \div 6)$
202698	Simplify	(x^-1+y^-1)^2(xy)^2	${(x^{- 1} + y^{- 1})}^{2} {(x y)}^{2}$
202699	Solve for y	0.18+y=0.4(7y-0.9)	$0.18 + y = 0.4 (7 y - 0.9)$
202700	Solve for y	-11y+3+3y=5y-9-9y	$- 11 y + 3 + 3 y = 5 y - 9 - 9 y$