Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218801	Simplify	(a+1)/(3a)+(b-3)/(5b)	$\frac{a + 1}{3 a} + \frac{b - 3}{5 b}$
218802	Simplify	( square root of 9x^5y^3)/(5x^4y^2)	$\frac{\sqrt{9 x^{5} y^{3}}}{5 x^{4} y^{2}}$
218803	Solve by Factoring	(x+3)^2+6(x+3)+5=0	${(x + 3)}^{2} + 6 (x + 3) + 5 = 0$
218804	Evaluate	2/3*1/3+(1/2)÷(2/3)	$\frac{2}{3} \cdot \frac{1}{3} + \frac{1}{2} \div \frac{2}{3}$
218805	Solve for x	square root of x+1+ square root of x-1=2	$\sqrt{x + 1} + \sqrt{x - 1} = 2$
218806	Simplify	6y(4y*2-9y-7)	$6 y (4 y \cdot 2 - 9 y - 7)$
218807	Solve for a	9/(a+3)=1-a/(a-3)	$\frac{9}{a + 3} = 1 - \frac{a}{a - 3}$
218808	Factor	-4/5(30x-40)+(42x+4)	$- \frac{4}{5} (30 x - 40) + (42 x + 4)$
218809	Simplify	(-64a^15a^-7b^-3)/(-8a^2b^-3)	$\frac{- 64 a^{15} a^{- 7} b^{- 3}}{- 8 a^{2} b^{- 3}}$
218810	Evaluate	-\|-10\|+(-3)+\|5\|	$- \| - 10 \| + (- 3) + \| 5 \|$
218811	Evaluate	(x^2y^3)/(xy)	$\frac{x^{2} y^{3}}{x y}$
218812	Solve for s	-1/2s+6=23	$- \frac{1}{2} s + 6 = 23$
218813	Graph	y=1/2x+-3	$y = \frac{1}{2} x + - 3$
218814	Solve Using the Quadratic Formula	-2x=x^2-6	$- 2 x = x^{2} - 6$
218815	Rationalize the Denominator	(3 square root of 6)/( square root of 2)	$\frac{3 \sqrt{6}}{\sqrt{2}}$
218816	Evaluate	(-3^2x^6)^5	${(- 3^{2} x^{6})}^{5}$
218817	Simplify	2x^3+3x^2+5x-4÷(x^2)+x+1	$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$
218818	Divide Using Long Polynomial Division	(3x^3+4x+11)÷(x^2-3x+2)	$(3 x^{3} + 4 x + 11) \div (x^{2} - 3 x + 2)$
218819	Evaluate	cube root of 2x+3=3	$\sqrt[3]{2 x + 3} = 3$
218820	Solve the Inequality for x	\|x-2\|=5	$\| x - 2 \| = 5$
218821	Evaluate	(3^-1)/((3^2)^-6)	$\frac{3^{- 1}}{{(3^{2})}^{- 6}}$
218822	Solve for a	1/14(a+8)=1/4(3-a)	$\frac{1}{14} (a + 8) = \frac{1}{4} (3 - a)$
218823	Write in Standard Form	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
218824	Divide Using Long Polynomial Division	(5x^4+14x^3+9x)÷(x^2+3x+1)	$(5 x^{4} + 14 x^{3} + 9 x) \div (x^{2} + 3 x + 1)$
218825	Simplify	(24y^3y^2)/(8y^6*3y^3)	$\frac{24 y^{3} y^{2}}{8 y^{6} \cdot 3 y^{3}}$
218826	Find the Exact Value	sin(pi/3)cos(pi/2)+cos(pi/3)sin(pi/2)	$\sin (\frac{π}{3}) \cos (\frac{π}{2}) + \cos (\frac{π}{3}) \sin (\frac{π}{2})$
218827	Simplify	eighth root of 81a^(4n)	$\sqrt[8]{81 a^{4 n}}$
218828	Solve for p	p = square root of 4p+8-3	$p = \sqrt{4 p + 8} - 3$
218829	Write in Standard Form	(x-2x^3+8-7x^2)-(8+5x-3x^3)	$(x - 2 x^{3} + 8 - 7 x^{2}) - (8 + 5 x - 3 x^{3})$
218830	Solve for m	1000=m^3	$1000 = m^{3}$
218831	Solve by Factoring	-12q=4q^2+8	$- 12 q = 4 q^{2} + 8$
218832	Solve the Inequality for x	5(4x+3)>=9(x-2)-x	$5 (4 x + 3) \geq 9 (x - 2) - x$
218833	Simplify	5 square root of 4a^2*3 square root of 25a	$5 \sqrt{4 a^{2}} \cdot 3 \sqrt{25 a}$
218834	Solve for m	4m^2-21m+10=-5m^2	$4 m^{2} - 21 m + 10 = - 5 m^{2}$
218835	Write with Rational (Fractional) Exponents	( cube root of 7^2)/( square root of 7)	$\frac{\sqrt[3]{7^{2}}}{\sqrt{7}}$
218836	Solve by Factoring	2x^6-10x^4-48x^2=0	$2 x^{6} - 10 x^{4} - 48 x^{2} = 0$
218837	Solve the System of Equations	-x+y-3z=-4 3x-2y+8z=14 2x-2y+5z=7	$- x + y - 3 z = - 4$ $3 x - 2 y + 8 z = 14$ $2 x - 2 y + 5 z = 7$
218838	Evaluate	-3/5(-1 1/3)	$- \frac{3}{5} (- 1 \frac{1}{3})$
218839	Solve by Substitution	n=3m-11 2m+3n=0	$n = 3 m - 11$ $2 m + 3 n = 0$
218840	Solve for b	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
218841	Simplify	a+2b+a-b	$a + 2 b + a - b$
218842	Solve by Substitution	y-x=2 y=-1/4x+7	$y - x = 2$ $y = - \frac{1}{4} x + 7$
218843	Graph	y<13 square root of 9x-9+7	$y < 13 \sqrt{9 x - 9} + 7$
218844	Simplify the Radical Expression	sixth root of x* fourth root of y^3	$\sqrt[6]{x} \cdot \sqrt[4]{y^{3}}$
218845	Solve for w	8(2w-6)+4(-1-5w)=0	$8 (2 w - 6) + 4 (- 1 - 5 w) = 0$
218846	Find the LCM	5 and 7	$5$ and $7$
218847	Write in Standard Form	(3+x)(2x-5)	$(3 + x) (2 x - 5)$
218848	Simplify	1/(x^3)-x	$\frac{1}{x^{3}} - x$
218849	Solve the System of Equations	11x-y=3 y=11x	$11 x - y = 3$ $y = 11 x$
218850	Simplify	8(5x-9)+4x(x-2)	$8 (5 x - 9) + 4 x (x - 2)$
218851	Convert to a Decimal	-165deg	$- 165$ degrees
218852	Solve for s	square root of s^3=-4	$\sqrt{s^{3}} = - 4$
218853	Solve the System of Inequalities	-4x-4<=0 or 4x-4<=5	$- 4 x - 4 \leq 0$ or $4 x - 4 \leq 5$
218854	Evaluate	1 natural log of 1	$1 \ln (1)$
218855	Graph	(6,11) , (1,2) , (11,2)	$(6, 11)$ , $(1, 2)$ , $(11, 2)$
218856	Simplify the Radical Expression	5x square root of 12x^5	$5 x \sqrt{12 x^{5}}$
218857	Write the Fraction in Simplest Form	2.35*2/3	$2.35 \cdot \frac{2}{3}$
218858	Write in Standard Form	-(3+i)(7-3i)	$- (3 + i) (7 - 3 i)$
218859	Evaluate	-2/(pi/2)	$- \frac{2}{\frac{π}{2}}$
218860	Evaluate	(6^2)/6*(6^12)/(6^8)	$\frac{6^{2}}{6} \cdot \frac{6^{12}}{6^{8}}$
218861	Convert to a Decimal	200mi in 3hr	$200 miles$ in $3 hours$
218862	Solve the Inequality for m	60<=m/3	$60 \leq \frac{m}{3}$
218863	Determine if a Polynomial	(5np)/(n^2)-(2g)/h	$\frac{5 n p}{n^{2}} - \frac{2 g}{h}$
218864	Evaluate	45^45*15^15	$45^{45} \cdot 15^{15}$
218865	Find the Product	(7a^3-b)(49a^6+7a^3b+b^2)	$(7 a^{3} - b) (49 a^{6} + 7 a^{3} b + b^{2})$
218866	Solve for n	2=4/n+1/3	$2 = \frac{4}{n} + \frac{1}{3}$
218867	Solve the System of Equations	2x-8y=7 x-6y-8=0	$2 x - 8 y = 7$ $x - 6 y - 8 = 0$
218868	Solve for k	\|1-4k\|>=-11	$\| 1 - 4 k \| \geq - 11$
218869	Solve for v	-3/(v-2)=-6/(2v-4)+1	$- \frac{3}{v - 2} = - \frac{6}{2 v - 4} + 1$
218870	Simplify	1/4(8mn)*(-6m^2n^2)	$\frac{1}{4} (8 m n) \cdot (- 6 m^{2} n^{2})$
218871	Find the Domain and Range	f(x)=-3/4 cube root of x+1	$f (x) = - \frac{3}{4} \sqrt[3]{x + 1}$
218872	Find the x and y Intercepts	y=(x+2)(2x+1)(x+3)	$y = (x + 2) (2 x + 1) (x + 3)$
218873	Solve the Rational Equation for x	x- square root of x+10=2	$x - \sqrt{x + 10} = 2$
218874	Simplify the Radical Expression	( cube root of 4x^2)÷( cube root of x)	$\sqrt[3]{4 x^{2}} \div \sqrt[3]{x}$
218875	Simplify	((x-y)/(a+b))÷((x^2-y^2)/(a^2-b^2))	$\frac{x - y}{a + b} \div \frac{x^{2} - y^{2}}{a^{2} - b^{2}}$
218876	Simplify	1/(3x)+1/(6x)-1/(x^2)	$\frac{1}{3 x} + \frac{1}{6 x} - \frac{1}{x^{2}}$
218877	Solve for x	(2x-3)/z=1/y	$\frac{2 x - 3}{z} = \frac{1}{y}$
218878	Factor	x^4-3x^3-4x^2-16x^2+48x+64	$x^{4} - 3 x^{3} - 4 x^{2} - 16 x^{2} + 48 x + 64$
218879	Evaluate	40% of 70	$40 %$ of $70$
218880	Solve for k	(1/4)^k=16^(-k-3)	${(\frac{1}{4})}^{k} = 16^{- k - 3}$
218881	Simplify	(3^2-4)/5	$\frac{(3^{2} - 4)}{5}$
218882	Solve the Inequality for x	4(2x+2)+12>100	$4 (2 x + 2) + 12 > 100$
218883	Find the Domain and Range	y=2-3csc(x)	$y = 2 - 3 \csc (x)$
218884	Simplify	5/t-2-3/t+1	$\frac{5}{t} - 2 - \frac{3}{t} + 1$
218885	Solve for b	2b+7=b+10	$2 b + 7 = b + 10$
218886	Evaluate	4(3-x)^(1/3)-5=3	$4 {(3 - x)}^{\frac{1}{3}} - 5 = 3$
218887	Solve for x	log base (4/3) of x=-2	$\log_{(\frac{4}{3})} (x) = - 2$
218888	Simplify the Radical Expression	3/(4+4 square root of 5)	$\frac{3}{4 + 4 \sqrt{5}}$
218889	Write the Fraction in Simplest Form	y-1-5/(y+3)	$y - 1 - \frac{5}{y + 3}$
218890	Solve by Factoring	x(x+6)=-8	$x (x + 6) = - 8$
218891	Evaluate the Function	f(-2)=1/(2^(x+2))+4	$f (- 2) = \frac{1}{2^{x + 2}} + 4$
218892	Solve the Inequality for x	1/(2x)+1/x>4	$\frac{1}{2 x} + \frac{1}{x} > 4$
218893	Solve for x	log base 7 of 2x^2-7- log base 7 of 3x+2=0	$\log_{7} (2 x^{2} - 7) - \log_{7} (3 x + 2) = 0$
218894	Simplify	( cube root of k^5)/( fifth root of k^8)	$\frac{\sqrt[3]{k^{5}}}{\sqrt[5]{k^{8}}}$
218895	Simplify	(x^2+1+x-2)(2)	$(x^{2} + 1 + x - 2) (2)$
218896	Solve the System of Equations	2y-4=0 x+2y=5	$2 y - 4 = 0$ $x + 2 y = 5$
218897	Solve the Rational Equation for x	x-3/(x+1)=(3x)/(x+1)	$x - \frac{3}{x + 1} = \frac{3 x}{x + 1}$
218898	Solve the Absolute Value Inequality for x	\|3-2x\|=7	$\| 3 - 2 x \| = 7$
218899	Multiply	(x^2+6x+8)/(x^2+3x-10)*(x^2+2x-15)/(x^2+3x-4)	$\frac{x^{2} + 6 x + 8}{x^{2} + 3 x - 10} \cdot \frac{x^{2} + 2 x - 15}{x^{2} + 3 x - 4}$
218900	Solve Using the Quadratic Formula	-1/2x^2=-6x+20	$- \frac{1}{2} x^{2} = - 6 x + 20$