Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227901	Simplify the Radical Expression	square root of 15n^2* square root of 10n^3	$\sqrt{15 n^{2}} \cdot \sqrt{10 n^{3}}$
227902	Divide	(36x^3+9x^2+45x)÷9x^2	$(36 x^{3} + 9 x^{2} + 45 x) \div 9 x^{2}$
227903	Determine if Parallel	Are the lines defined by the equations y=-3x+1 and 2y=-6x-8 parallel?	Are the lines defined by the equations $y = - 3 x + 1$ and $2 y = - 6 x - 8$ parallel?
227904	Simplify	20-15a+b+6+4a-4b	$20 - 15 a + b + 6 + 4 a - 4 b$
227905	Solve the Inequality for x	x+12<8-3x	$x + 12 < 8 - 3 x$
227906	Simplify	12 root of (81x^4y^12)/(16c^8d^4)	$\sqrt[12]{\frac{81 x^{4} y^{12}}{16 c^{8} d^{4}}}$
227907	Simplify	Simplify the expression (9x^3+6x^2)/(3x+2)	Simplify the expression $\frac{9 x^{3} + 6 x^{2}}{3 x + 2}$
227908	Solve for n	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
227909	Simplify	( cube root of 4b^8)( cube root of 4b^3)	$(\sqrt[3]{4 b^{8}}) (\sqrt[3]{4 b^{3}})$
227910	Solve the Rational Equation for x	1+5/(x+1)=-(5x)/(x+1)	$1 + \frac{5}{x + 1} = - \frac{5 x}{x + 1}$
227911	Find the Domain and Range	y=csc(x/2)	$y = \csc (\frac{x}{2})$
227912	Solve the Inequality for k	k-14<=-10	$k - 14 \leq - 10$
227913	Solve the Inequality for h	h+4<=20	$h + 4 \leq 20$
227914	Simplify	e^(1/2 natural log of x)	$e^{\frac{1}{2} \ln (x)}$
227915	Solve for c	c=2pi*7	$c = 2 π \cdot 7$
227916	Evaluate	square root of 2x-4 = square root of x	$\sqrt{2 x - 4} = \sqrt{x}$
227917	Find the Exact Value	2/(2^-3)	$\frac{2}{2^{- 3}}$
227918	Solve for a	3(a-2)+14=8-6a	$3 (a - 2) + 14 = 8 - 6 a$
227919	Solve for x	x^(2/3)=4x^(1/3)	$x^{\frac{2}{3}} = 4 x^{\frac{1}{3}}$
227920	Find the x and y Intercepts	p(x)=(2x^2+7x+5)(x-3)	$p (x) = (2 x^{2} + 7 x + 5) (x - 3)$
227921	Simplify	9x^2+7x-2-8x-10	$9 x^{2} + 7 x - 2 - 8 x - 10$
227922	Divide	((x^2-1)/(9x))÷((x^2+7x-8)/(4x))	$\frac{x^{2} - 1}{9 x} \div \frac{x^{2} + 7 x - 8}{4 x}$
227923	Find the Exact Value	sin(-450 degrees )	$\sin (- 450 °)$
227924	Describe the Transformation	y=- square root of x+2	$y = - \sqrt{x + 2}$
227925	Solve the System of Equations	3x+2y=17.50 and 2x+3y=15	$3 x + 2 y = 17.5$ and $2 x + 3 y = 15$
227926	Simplify	((2r^3t)^3)^2	${({(2 r^{3} t)}^{3})}^{2}$
227927	Simplify	(7^-2a)/(b^-1)	$\frac{7^{- 2} a}{b^{- 1}}$
227928	Solve for x	6x-8=2+9x-1	$6 x - 8 = 2 + 9 x - 1$
227929	Simplify	6x+5-4y-2x+y	$6 x + 5 - 4 y - 2 x + y$
227930	Simplify	-2k+6+3k-2-k	$- 2 k + 6 + 3 k - 2 - k$
227931	Multiply	1*2^0	$1 \cdot 2^{0}$
227932	Multiply	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
227933	Evaluate	((-1)^5(3)+5)/-2	$\frac{{(- 1)}^{5} (3) + 5}{- 2}$
227934	Describe the Transformation	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
227935	Divide	(3m^5+m-1)÷(m+1)	$(3 m^{5} + m - 1) \div (m + 1)$
227936	Simplify	(12x^(2/3)y^-4)^3	${(12 x^{\frac{2}{3}} y^{- 4})}^{3}$
227937	Write in Standard Form	5xy^2-x^2+9x^3y-y^4+2	$5 x y^{2} - x^{2} + 9 x^{3} y - y^{4} + 2$
227938	Solve the System of Equations	x+y=-13 and 4x+6y=-72	$x + y = - 13$ and $4 x + 6 y = - 72$
227939	Solve the Rational Equation for v	square root of v+3-1=7	$\sqrt{v + 3} - 1 = 7$
227940	Simplify	2y^2 square root of (x^4)/(4y^2)	$2 y^{2} \sqrt{\frac{x^{4}}{4 y^{2}}}$
227941	Simplify	(m^2n^-5)^0m^-7	${(m^{2} n^{- 5})}^{0} m^{- 7}$
227942	Solve for m	4m-3+35=180	$4 m - 3 + 35 = 180$
227943	Multiply	-5/2*1/2	$- \frac{5}{2} \cdot \frac{1}{2}$
227944	Simplify	square root of (3a^2)/(10b^6)	$\sqrt{\frac{3 a^{2}}{10 b^{6}}}$
227945	Simplify	(4/(20x-12))÷(1/(20x^2-12x))	$\frac{4}{20 x - 12} \div \frac{1}{20 x^{2} - 12 x}$
227946	Multiply	(4x)/(ab)*(a^2b)/(2x^2)	$\frac{4 x}{a b} \cdot \frac{a^{2} b}{2 x^{2}}$
227947	Evaluate	sin(x)=cos(x)	$\sin (x) = \cos (x)$
227948	Evaluate	3x^2+7x-(x+4)^2-9	$3 x^{2} + 7 x - {(x + 4)}^{2} - 9$
227949	Solve for n	1-(2n+9)=4(n-2)	$1 - (2 n + 9) = 4 (n - 2)$
227950	Solve for C	C(t)=t^2-2t-4	$C (t) = t^{2} - 2 t - 4$
227951	Factor by Grouping	a^2b^2+a	$a^{2} b^{2} + a$
227952	Write as a Single Logarithm	1/4 log base x of 3 log base x of a	$\frac{1}{4} \log_{x} (3 \log_{x} (a))$
227953	Multiply	cube root of 3*2 cube root of 3	$\sqrt[3]{3} \cdot 2 \sqrt[3]{3}$
227954	Simplify	4x*5/(x+3)	$4 x \cdot \frac{5}{x + 3}$
227955	Evaluate	2(-3(x-1)+5)-2(3x-5)=2(1-2x)	$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$
227956	Solve for t	1/t=3/12	$\frac{1}{t} = \frac{3}{12}$
227957	Solve for a	6 square root of 8a^2=12	$6 \sqrt{8 a^{2}} = 12$
227958	Solve for x	1/5-(x-4)/10=1+(x-2)/2	$\frac{1}{5} - \frac{x - 4}{10} = 1 + \frac{x - 2}{2}$
227959	Write in Standard Form	(x-3)(x-4)(x+1)(x-2)	$(x - 3) (x - 4) (x + 1) (x - 2)$
227960	Solve for x	(-2x-5)^(3/5)=(x^2-29)^(3/5)	${(- 2 x - 5)}^{\frac{3}{5}} = {(x^{2} - 29)}^{\frac{3}{5}}$
227961	Solve by Addition/Elimination	y-x=2 y=-14x+7	$y - x = 2$ $y = - 14 x + 7$
227962	Simplify	a/(2a-b)+(3a-b)/(b-2a)	$\frac{a}{2 a - b} + \frac{(3 a - b)}{b - 2 a}$
227963	Simplify	(2+i)^2-6(2+i)+9	${(2 + i)}^{2} - 6 (2 + i) + 9$
227964	Solve for k	y=3tan(2kx-pi)	$y = 3 \tan (2 k x - π)$
227965	Solve for x	-8=x^3	$- 8 = x^{3}$
227966	Solve for V	P=(V^2)/R	$P = \frac{V^{2}}{R}$
227967	Graph	2x+7y>5 and 3x-y<=2 ?	$2 x + 7 y > 5$ and $3 x - y \leq 2$ ?
227968	Divide	(36m^5n^5)÷(12m^3)	$36 m^{5} n^{5} \div (12 m^{3})$
227969	Multiply	-1/6*4	$- \frac{1}{6} \cdot 4$
227970	Solve for x	4.1*10^-4=((2x)^2)/((0.25-x)(0.43-x))	$4.1 \cdot 10^{- 4} = \frac{{(2 x)}^{2}}{(0.25 - x) (0.43 - x)}$
227971	Solve by Factoring	y=x^2+5x-6	$y = x^{2} + 5 x - 6$
227972	Find the Parallel Line	What is an equation of the line that passes through the point (1,3) and is parallel to the line 3x+y=9 ?	What is an equation of the line that passes through the point $(1, 3)$ and is parallel to the line $3 x + y = 9$ ?
227973	Evaluate	y=3^-4	$y = 3^{- 4}$
227974	Simplify	arccsc(theta)	$arccsc (θ)$
227975	Divide	Divide 5a^2+6a-9 into 25a^4+19a^2-a-78	Divide $5 a^{2} + 6 a - 9$ into $25 a^{4} + 19 a^{2} - a - 78$
227976	Solve the System of Inequalities	3m>15 and -9m<18	$3 m > 15$ and $- 9 m < 18$
227977	Simplify	((7 square root of x-x square root of 7)/(7x))/(x-7)	$\frac{(\frac{7 \sqrt{x} - x \sqrt{7}}{7 x})}{x - 7}$
227978	Write with Rational (Fractional) Exponents	square root of 5* cube root of 5* fourth root of 5	$\sqrt{5} \cdot \sqrt[3]{5} \cdot \sqrt[4]{5}$
227979	Simplify	(8x^2-3x)-(5x-5-8x^2)	$(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})$
227980	Graph	y=ab^(x-h)+k	$y = a b^{x - h} + k$
227981	Find the Product	2(9x-2y)	$2 (9 x - 2 y)$
227982	Solve the System of Equations	y-10=3x 2y=6x+20	$y - 10 = 3 x$ $2 y = 6 x + 20$
227983	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+4x^3-14x^2+25x-15 is divided by x+3	Use synthetic division to find the result when $4 x^{4} + 4 x^{3} - 14 x^{2} + 25 x - 15$ is divided by $x + 3$
227984	Divide	((3x)/(x^2+10x+24))÷((x-6)/(x^2-36))	$\frac{3 x}{x^{2} + 10 x + 24} \div \frac{x - 6}{x^{2} - 36}$
227985	Simplify	(6xy+2y+6x)+(4xy-x)	$(6 x y + 2 y + 6 x) + (4 x y - x)$
227986	Find the Exact Value	arccsc(csc((5pi)/3))	$arccsc (\csc (\frac{5 π}{3}))$
227987	Solve Using the Quadratic Formula	7x+1=3x^2-2x+1	$7 x + 1 = 3 x^{2} - 2 x + 1$
227988	Simplify	a-(a-(b-(a-b)))	$a - (a - (b - (a - b)))$
227989	Solve for x	3 log base 8 of x- log base 8 of x = log base 8 of 144	$3 \log_{8} (x) - \log_{8} (x) = \log_{8} (144)$
227990	Simplify	10 square root of 5/5	$10 \sqrt{\frac{5}{5}}$
227991	Simplify	(-1/64)^(-1/3)	${(- \frac{1}{64})}^{- \frac{1}{3}}$
227992	Solve the System of Equations	7p=9(p+q)+11 9q+3=-4(7q+p)	$7 p = 9 (p + q) + 11$ $9 q + 3 = - 4 (7 q + p)$
227993	Solve the Rational Equation for h	square root of 2h+7=5	$\sqrt{2 h + 7} = 5$
227994	Solve for x	(x-5)^2+(x-5)-2=0	${(x - 5)}^{2} + (x - 5) - 2 = 0$
227995	Solve for x	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
227996	Solve the Inequality for a	10<6a-14	$10 < 6 a - 14$
227997	Simplify	((5t^-3)/(t^2))^-2*2/(t^-2)	${(\frac{5 t^{- 3}}{t^{2}})}^{- 2} \cdot \frac{2}{t^{- 2}}$
227998	Write the Fraction in Simplest Form	2 square root of x*4x^(-5/2)	$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$
227999	Simplify	(6x-18)/(x^2-4)*(x^2+5x+6)/(x^2-9)	$\frac{6 x - 18}{x^{2} - 4} \cdot \frac{x^{2} + 5 x + 6}{x^{2} - 9}$
228000	Graph	4x-10y=-20 6x-15y=-30	$4 x - 10 y = - 20$ $6 x - 15 y = - 30$