Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217801	Simplify	13c^2d+cd^2-7c^2d-11cd^2	$13 c^{2} d + c d^{2} - 7 c^{2} d - 11 c d^{2}$
217802	Multiply	square root of 5( square root of 5+ square root of 2-3)	$\sqrt{5} (\sqrt{5} + \sqrt{2} - 3)$
217803	Simplify	(x^2+2x-24)/(x^2-9)*(x+3)/(x^2-16)	$\frac{x^{2} + 2 x - 24}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 16}$
217804	Determine if True	sec(x)^2-tan(x)^2=1	$\sec^{2} (x) - \tan^{2} (x) = 1$
217805	Solve for S	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
217806	Solve for k	D=1/3fk for k	$D = \frac{1}{3} f k$ for $k$
217807	Multiply	3 square root of ab*2 fourth root of ab	$3 \sqrt{a b} \cdot 2 \sqrt[4]{a b}$
217808	Simplify	10x^8y^-3*x^-7y^-2	$10 x^{8} y^{- 3} \cdot x^{- 7} y^{- 2}$
217809	Simplify	( cube root of 32)÷( cube root of 18)	$\sqrt[3]{32} \div \sqrt[3]{18}$
217810	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+7x^2-9x-1 is divided by x-1	Use synthetic division to find the result when $3 x^{3} + 7 x^{2} - 9 x - 1$ is divided by $x - 1$
217811	Factor	35+30s-45t	$35 + 30 s - 45 t$
217812	Solve for a	a+0=a	$a + 0 = a$
217813	Simplify the Radical Expression	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
217814	Solve for x	(12x+28)/12=(4+2x)/25	$\frac{12 x + 28}{12} = \frac{4 + 2 x}{25}$
217815	Solve for x	1/7+(2x)/3=(15x-3)/21	$\frac{1}{7} + \frac{2 x}{3} = \frac{15 x - 3}{21}$
217816	Solve by Graphing	x=7 y=-x+9	$x = 7$ $y = - x + 9$
217817	Solve for x	3=20(1/2)^(2x)	$3 = 20 {(\frac{1}{2})}^{2 x}$
217818	Evaluate	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
217819	Solve for x	(7x-1)/6+2x=(16-x)/5	$\frac{7 x - 1}{6} + 2 x = \frac{16 - x}{5}$
217820	Simplify	4x^2*x^4y^4	$4 x^{2} \cdot x^{4} y^{4}$
217821	Divide Using Synthetic Division	(-5k^2+k^3+8k+4)÷(-1+k)	$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$
217822	Evaluate	3/(1-3x)+5/(2-x)+(9-2x)/(3x^2-7x+2)=0	$\frac{3}{1 - 3 x} + \frac{5}{2 - x} + \frac{9 - 2 x}{3 x^{2} - 7 x + 2} = 0$
217823	Evaluate	(3^-1+2^-2)/(3^-1+2^2)	$\frac{3^{- 1} + 2^{- 2}}{3^{- 1} + 2^{2}}$
217824	Simplify the Radical Expression	6*2 square root of 72	$6 \cdot 2 \sqrt{72}$
217825	Evaluate	-(5c)^0+7^1-2^2	$- {(5 c)}^{0} + 7^{1} - 2^{2}$
217826	Evaluate	(12x^4y^8z^7)/(4xy^3z^2)	$\frac{12 x^{4} y^{8} z^{7}}{4 x y^{3} z^{2}}$
217827	Solve the System of Equations	2x+4y-6z=8 2x+4y-2z=-4 x+2y-2z=-2	$2 x + 4 y - 6 z = 8$ $2 x + 4 y - 2 z = - 4$ $x + 2 y - 2 z = - 2$
217828	Solve for h	V=Bh for h	$V = B h$ for $h$
217829	Graph	f(x)(x^2+4x)/(x+3)	$f (x) \frac{x^{2} + 4 x}{x + 3}$
217830	Simplify	(2^2)/((2^-4)^3)	$\frac{2^{2}}{{(2^{- 4})}^{3}}$
217831	Convert to Radical Form	y^(1/3)*y^(2/5)	$y^{\frac{1}{3}} \cdot y^{\frac{2}{5}}$
217832	Graph	g(x)=x if x<1; 4 if x=1; 2-x^2 if 12	$g (x) = {\begin{cases} x & x < 1 \\ 4 & x = 1 \\ 2 - x^{2} & 12 \end{cases}$
217833	Solve for n	-6=1+n/-4	$- 6 = 1 + \frac{n}{- 4}$
217834	Graph	y=(4x)/(x^3-4x)	$y = \frac{4 x}{x^{3} - 4 x}$
217835	Solve for x	4^(x+1)+4^x=160	$4^{x + 1} + 4^{x} = 160$
217836	Simplify the Radical Expression	(-8 square root of 30)(3 square root of -24)	$(- 8 \sqrt{30}) (3 \sqrt{- 24})$
217837	Find the Roots (Zeros)	square root of 56-x=x	$\sqrt{56 - x} = x$
217838	Simplify	1/6 square root of 48	$\frac{1}{6} \sqrt{48}$
217839	Multiply	(1-sin(x))(1+sin(x))	$(1 - \sin (x)) (1 + \sin (x))$
217840	Evaluate	2k^4*4k	$2 k^{4} \cdot 4 k$
217841	Solve for x	3x = square root of 12x+5	$3 x = \sqrt{12 x + 5}$
217842	Evaluate	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
217843	Simplify	fourth root of cube root of x^5	$\sqrt[4]{\sqrt[3]{x^{5}}}$
217844	Solve by Addition/Elimination	2x+y=-10 -y=2x+10	$2 x + y = - 10$ $- y = 2 x + 10$
217845	Simplify	square root of 1* square root of 1	$\sqrt{1} \cdot \sqrt{1}$
217846	Write as a Single Logarithm	7 log base 2 of x-1/3 log base 2 of y	$7 \log_{2} (x) - \frac{1}{3} \log_{2} (y)$
217847	Evaluate	(-2+3i)-(-3-11i)	$(- 2 + 3 i) - (- 3 - 11 i)$
217848	Simplify	(9x^4-6x^3+4x^2)/(27x^4+8x)	$\frac{9 x^{4} - 6 x^{3} + 4 x^{2}}{27 x^{4} + 8 x}$
217849	Solve by Factoring	x=x^2	$x = x^{2}$
217850	Simplify	(2x-3y^-1)(3x^-1+xy)	$(2 x - 3 y^{- 1}) (3 x^{- 1} + x y)$
217851	Solve the Inequality for a	2.1+3.3a<2.7a-4.5	$2.1 + 3.3 a < 2.7 a - 4.5$
217852	Graph	f(x)=cot(x-pi/2)	$f (x) = \cot (x - \frac{π}{2})$
217853	Evaluate	cube root of x+2=3	$\sqrt[3]{x + 2} = 3$
217854	Solve Using the Quadratic Formula	f(x)=1/2x^2+3x+7	$f (x) = \frac{1}{2} x^{2} + 3 x + 7$
217855	Solve the System of Inequalities	4x-3y<9 x+3y>6	$4 x - 3 y < 9$ $x + 3 y > 6$
217856	Evaluate	-2(y+4)+4y	$- 2 (y + 4) + 4 y$
217857	Divide	(16p^3-24p^2+8p)÷8p	$(16 p^{3} - 24 p^{2} + 8 p) \div 8 p$
217858	Solve for w	15w^2+4w-1=2w	$15 w^{2} + 4 w - 1 = 2 w$
217859	Simplify	(a^4b^3x^-7y^-4)/(a^2x^5y^-2)	$\frac{a^{4} b^{3} x^{- 7} y^{- 4}}{a^{2} x^{5} y^{- 2}}$
217860	Evaluate	40% of 20	$40 %$ of $20$
217861	Simplify	((a^(2c))/(a^(c+2)))^-2	${(\frac{a^{2 c}}{a^{c + 2}})}^{- 2}$
217862	Find the Domain and Range	f(y)=9x+9	$f (y) = 9 x + 9$
217863	Simplify	(a^-1+b^-1)(a^-1-b^-1)^-1	$(a^{- 1} + b^{- 1}) {(a^{- 1} - b^{- 1})}^{- 1}$
217864	Solve for t₁	p_1/t_1=p_2/t_2	$\frac{p_{1}}{t_{1}} = \frac{p_{2}}{t_{2}}$
217865	Graph	kys	$k y s$
217866	Simplify	(3m^4n^6)(2mn)^0	$(3 m^{4} n^{6}) {(2 m n)}^{0}$
217867	Simplify	(64^-3)^(1/9)	${(64^{- 3})}^{\frac{1}{9}}$
217868	Solve the System of Equations	x^2-4y^2=16 x-6y=-4	$x^{2} - 4 y^{2} = 16$ $x - 6 y = - 4$
217869	Simplify	(2 square root of 3+4 square root of 5)/(2 square root of 3-4 square root of 5)	$\frac{2 \sqrt{3} + 4 \sqrt{5}}{2 \sqrt{3} - 4 \sqrt{5}}$
217870	Simplify the Radical Expression	(x^(4/3)x^(2/3))^(1/3)	${(x^{\frac{4}{3}} x^{\frac{2}{3}})}^{\frac{1}{3}}$
217871	Graph	f(x)=3/4(2/3)^(x+4)-2	$f (x) = \frac{3}{4} {(\frac{2}{3})}^{x + 4} - 2$
217872	Solve the System of Equations	x+y-z=17 y+z=1 z=-3	$x + y - z = 17$ $y + z = 1$ $z = - 3$
217873	Simplify	( square root of 15t^3)/( square root of 135t^5)	$\frac{\sqrt{15 t^{3}}}{\sqrt{135 t^{5}}}$
217874	Graph	2<=x<=6 y>=x y>=3 f(x,y)=2x-3y	$2 \leq x \leq 6$ $y \geq x$ $y \geq 3$ $f (x, y) = 2 x - 3 y$
217875	Simplify	(v-7)/(v+6)*(10v+60)/(v-7)	$\frac{v - 7}{v + 6} \cdot \frac{10 v + 60}{v - 7}$
217876	Find the LCD	(9x)/(x+5) and -7/(2x+10)	$\frac{9 x}{x + 5}$ and $\frac{- 7}{2 x + 10}$
217877	Solve the System of Inequalities	y>=3x-5 y<-x-1	$y \geq 3 x - 5$ $y < - x - 1$
217878	Solve for r	square root of r/6 = square root of 14-r	$\sqrt{\frac{r}{6}} = \sqrt{14 - r}$
217879	Solve for x	2(x-8)<=x-12	$2 (x - 8) \leq x - 12$
217880	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-4x^2+x^5+10x^3+5x+8x^4	$f (x) = - 4 x^{2} + x^{5} + 10 x^{3} + 5 x + 8 x^{4}$
217881	Factor	(2x-3)^2+12x+9	${(2 x - 3)}^{2} + 12 x + 9$
217882	Solve for x	1/4x+1<5	$\frac{1}{4} x + 1 < 5$
217883	Evaluate	g(4)+g(-1)	$g (4) + g (- 1)$
217884	Simplify	(15a-b)/(12a)-(a-4b)/(9a)	$\frac{15 a - b}{12 a} - \frac{a - 4 b}{9 a}$
217885	Evaluate	(x^2)(x^3)	$(x^{2}) (x^{3})$
217886	Solve the Inequality for c	square root of c+9- square root of c> square root of 3	$\sqrt{c + 9} - \sqrt{c} > \sqrt{3}$
217887	Simplify	(x^3)/(-x^3)	$\frac{x^{3}}{- x^{3}}$
217888	Simplify the Radical Expression	( square root of 2- square root of 3)^2	${(\sqrt{2} - \sqrt{3})}^{2}$
217889	Simplify the Radical Expression	cube root of -8xy^12	$\sqrt[3]{- 8 x y^{12}}$
217890	Solve the System of Equations	y=-1 3x+y=16	$y = - 1$ $3 x + y = 16$
217891	Simplify	(p^3+4)-((p^2+4)+(3p-9))	$(p^{3} + 4) - ((p^{2} + 4) + (3 p - 9))$
217892	Simplify	7 fifth root of b^5n-2b10 root of n^2	$7 \sqrt[5]{b^{5} n} - 2 b \sqrt[10]{n^{2}}$
217893	Graph	f(x)=-1/3x^4+7x^2+15x	$f (x) = - \frac{1}{3} x^{4} + 7 x^{2} + 15 x$
217894	Divide Using Long Polynomial Division	6x^3-5x^2-13x-11 divided by 3x-4	$6 x^{3} - 5 x^{2} - 13 x - 11$ divided by $3 x - 4$
217895	Solve for x	2=(2x-13)^(1/2)+1	$2 = {(2 x - 13)}^{\frac{1}{2}} + 1$
217896	Subtract	(3x+4y-3z)-(2x-6y+7z)	$(3 x + 4 y - 3 z) - (2 x - 6 y + 7 z)$
217897	Divide Using Synthetic Division	(x^6+4x^5-2x^3+7)/(x+1)	$\frac{x^{6} + 4 x^{5} - 2 x^{3} + 7}{x + 1}$
217898	Divide	-(x^2)/x	$- \frac{x^{2}}{x}$
217899	Solve for x	square root of x = square root of x-8-2	$\sqrt{x} = \sqrt{x - 8} - 2$
217900	Solve the Inequality for k	-4<k+3<8	$- 4 < k + 3 < 8$