Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227901	Simplify	5(x+3)+3(y+1)	$5 (x + 3) + 3 (y + 1)$
227902	Solve by Substitution	-3x+3y=4 y=x+3	$- 3 x + 3 y = 4$ $y = x + 3$
227903	Solve for x	-1/2(x-3)^2=12	$- \frac{1}{2} {(x - 3)}^{2} = 12$
227904	Simplify	2/(x-5)+1/(3(x-5))	$\frac{2}{x - 5} + \frac{1}{3 (x - 5)}$
227905	Solve the Inequality for x	-1/2x>=-2x-(-3/4x+1)	$- \frac{1}{2} x \geq - 2 x - (- \frac{3}{4} x + 1)$
227906	Convert to Interval Notation	x<-4 and x<4	$x < - 4$ and $x < 4$
227907	Write in Standard Form	x/4-2x^5+(x^3)/2+1	$\frac{x}{4} - 2 x^{5} + \frac{x^{3}}{2} + 1$
227908	Solve for x	square root of 2x-5+4=x	$\sqrt{2 x - 5 + 4} = x$
227909	Evaluate	-5/3(-2/7+4/5)	$- \frac{5}{3} (- \frac{2}{7} + \frac{4}{5})$
227910	Simplify	42-2*(9-3)+3	$42 - 2 \cdot (9 - 3) + 3$
227911	Evaluate	2(45÷((11-8)^2))-3	$2 (45 \div {(11 - 8)}^{2}) - 3$
227912	Solve for x	1/4(x-4/5)=-39/20	$\frac{1}{4} (x - \frac{4}{5}) = - \frac{39}{20}$
227913	Simplify	((4x^2+3x-1)/(3x+9))÷((x^2-1)/(x^2+2x-3))	$\frac{4 x^{2} + 3 x - 1}{3 x + 9} \div \frac{x^{2} - 1}{x^{2} + 2 x - 3}$
227914	Simplify	1-1/(1-x)	$1 - \frac{1}{1 - x}$
227915	Factor by Grouping	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$
227916	Write in Standard Form	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
227917	Simplify the Radical Expression	square root of 15n^2* square root of 10n^3	$\sqrt{15 n^{2}} \cdot \sqrt{10 n^{3}}$
227918	Divide	(36x^3+9x^2+45x)÷9x^2	$(36 x^{3} + 9 x^{2} + 45 x) \div 9 x^{2}$
227919	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?
227920	Simplify	20-15a+b+6+4a-4b	$20 - 15 a + b + 6 + 4 a - 4 b$
227921	Solve the Inequality for x	x+12<8-3x	$x + 12 < 8 - 3 x$
227922	Simplify	12 root of (81x^4y^12)/(16c^8d^4)	$\sqrt[12]{\frac{81 x^{4} y^{12}}{16 c^{8} d^{4}}}$
227923	Simplify	Simplify the expression (9x^3+6x^2)/(3x+2)	Simplify the expression $\frac{9 x^{3} + 6 x^{2}}{3 x + 2}$
227924	Solve for n	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
227925	Simplify	( cube root of 4b^8)( cube root of 4b^3)	$(\sqrt[3]{4 b^{8}}) (\sqrt[3]{4 b^{3}})$
227926	Solve the Rational Equation for x	1+5/(x+1)=-(5x)/(x+1)	$1 + \frac{5}{x + 1} = - \frac{5 x}{x + 1}$
227927	Find the Domain and Range	y=csc(x/2)	$y = \csc (\frac{x}{2})$
227928	Solve the Inequality for k	k-14<=-10	$k - 14 \leq - 10$
227929	Solve the Inequality for h	h+4<=20	$h + 4 \leq 20$
227930	Simplify	e^(1/2 natural log of x)	$e^{\frac{1}{2} \ln (x)}$
227931	Solve for c	c=2pi*7	$c = 2 π \cdot 7$
227932	Evaluate	square root of 2x-4 = square root of x	$\sqrt{2 x - 4} = \sqrt{x}$
227933	Find the Exact Value	2/(2^-3)	$\frac{2}{2^{- 3}}$
227934	Solve for a	3(a-2)+14=8-6a	$3 (a - 2) + 14 = 8 - 6 a$
227935	Solve for x	x^(2/3)=4x^(1/3)	$x^{\frac{2}{3}} = 4 x^{\frac{1}{3}}$
227936	Find the x and y Intercepts	p(x)=(2x^2+7x+5)(x-3)	$p (x) = (2 x^{2} + 7 x + 5) (x - 3)$
227937	Simplify	9x^2+7x-2-8x-10	$9 x^{2} + 7 x - 2 - 8 x - 10$
227938	Divide	((x^2-1)/(9x))÷((x^2+7x-8)/(4x))	$\frac{x^{2} - 1}{9 x} \div \frac{x^{2} + 7 x - 8}{4 x}$
227939	Find the Exact Value	sin(-450 degrees )	$\sin (- 450 °)$
227940	Describe the Transformation	y=- square root of x+2	$y = - \sqrt{x + 2}$
227941	Solve the System of Equations	3x+2y=17.50 and 2x+3y=15	$3 x + 2 y = 17.5$ and $2 x + 3 y = 15$
227942	Simplify	((2r^3t)^3)^2	${({(2 r^{3} t)}^{3})}^{2}$
227943	Simplify	(7^-2a)/(b^-1)	$\frac{7^{- 2} a}{b^{- 1}}$
227944	Solve for x	6x-8=2+9x-1	$6 x - 8 = 2 + 9 x - 1$
227945	Simplify	6x+5-4y-2x+y	$6 x + 5 - 4 y - 2 x + y$
227946	Simplify	-2k+6+3k-2-k	$- 2 k + 6 + 3 k - 2 - k$
227947	Multiply	1*2^0	$1 \cdot 2^{0}$
227948	Multiply	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
227949	Evaluate	((-1)^5(3)+5)/-2	$\frac{{(- 1)}^{5} (3) + 5}{- 2}$
227950	Describe the Transformation	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
227951	Divide	(3m^5+m-1)÷(m+1)	$(3 m^{5} + m - 1) \div (m + 1)$
227952	Simplify	(12x^(2/3)y^-4)^3	${(12 x^{\frac{2}{3}} y^{- 4})}^{3}$
227953	Write in Standard Form	5xy^2-x^2+9x^3y-y^4+2	$5 x y^{2} - x^{2} + 9 x^{3} y - y^{4} + 2$
227954	Solve the System of Equations	x+y=-13 and 4x+6y=-72	$x + y = - 13$ and $4 x + 6 y = - 72$
227955	Solve the Rational Equation for v	square root of v+3-1=7	$\sqrt{v + 3} - 1 = 7$
227956	Simplify	2y^2 square root of (x^4)/(4y^2)	$2 y^{2} \sqrt{\frac{x^{4}}{4 y^{2}}}$
227957	Simplify	(m^2n^-5)^0m^-7	${(m^{2} n^{- 5})}^{0} m^{- 7}$
227958	Solve for m	4m-3+35=180	$4 m - 3 + 35 = 180$
227959	Multiply	-5/2*1/2	$- \frac{5}{2} \cdot \frac{1}{2}$
227960	Simplify	square root of (3a^2)/(10b^6)	$\sqrt{\frac{3 a^{2}}{10 b^{6}}}$
227961	Simplify	(4/(20x-12))÷(1/(20x^2-12x))	$\frac{4}{20 x - 12} \div \frac{1}{20 x^{2} - 12 x}$
227962	Multiply	(4x)/(ab)*(a^2b)/(2x^2)	$\frac{4 x}{a b} \cdot \frac{a^{2} b}{2 x^{2}}$
227963	Evaluate	sin(x)=cos(x)	$\sin (x) = \cos (x)$
227964	Evaluate	3x^2+7x-(x+4)^2-9	$3 x^{2} + 7 x - {(x + 4)}^{2} - 9$
227965	Solve for n	1-(2n+9)=4(n-2)	$1 - (2 n + 9) = 4 (n - 2)$
227966	Solve for C	C(t)=t^2-2t-4	$C (t) = t^{2} - 2 t - 4$
227967	Factor by Grouping	a^2b^2+a	$a^{2} b^{2} + a$
227968	Write as a Single Logarithm	1/4 log base x of 3 log base x of a	$\frac{1}{4} \log_{x} (3 \log_{x} (a))$
227969	Multiply	cube root of 3*2 cube root of 3	$\sqrt[3]{3} \cdot 2 \sqrt[3]{3}$
227970	Simplify	4x*5/(x+3)	$4 x \cdot \frac{5}{x + 3}$
227971	Evaluate	2(-3(x-1)+5)-2(3x-5)=2(1-2x)	$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$
227972	Solve for t	1/t=3/12	$\frac{1}{t} = \frac{3}{12}$
227973	Solve for a	6 square root of 8a^2=12	$6 \sqrt{8 a^{2}} = 12$
227974	Solve for x	1/5-(x-4)/10=1+(x-2)/2	$\frac{1}{5} - \frac{x - 4}{10} = 1 + \frac{x - 2}{2}$
227975	Write in Standard Form	(x-3)(x-4)(x+1)(x-2)	$(x - 3) (x - 4) (x + 1) (x - 2)$
227976	Solve for x	(-2x-5)^(3/5)=(x^2-29)^(3/5)	${(- 2 x - 5)}^{\frac{3}{5}} = {(x^{2} - 29)}^{\frac{3}{5}}$
227977	Solve by Addition/Elimination	y-x=2 y=-14x+7	$y - x = 2$ $y = - 14 x + 7$
227978	Simplify	a/(2a-b)+(3a-b)/(b-2a)	$\frac{a}{2 a - b} + \frac{(3 a - b)}{b - 2 a}$
227979	Simplify	(2+i)^2-6(2+i)+9	${(2 + i)}^{2} - 6 (2 + i) + 9$
227980	Solve for k	y=3tan(2kx-pi)	$y = 3 \tan (2 k x - π)$
227981	Solve for x	-8=x^3	$- 8 = x^{3}$
227982	Solve for V	P=(V^2)/R	$P = \frac{V^{2}}{R}$
227983	Graph	2x+7y>5 and 3x-y<=2 ?	$2 x + 7 y > 5$ and $3 x - y \leq 2$ ?
227984	Divide	(36m^5n^5)÷(12m^3)	$36 m^{5} n^{5} \div (12 m^{3})$
227985	Multiply	-1/6*4	$- \frac{1}{6} \cdot 4$
227986	Solve for x	4.1*10^-4=((2x)^2)/((0.25-x)(0.43-x))	$4.1 \cdot 10^{- 4} = \frac{{(2 x)}^{2}}{(0.25 - x) (0.43 - x)}$
227987	Solve by Factoring	y=x^2+5x-6	$y = x^{2} + 5 x - 6$
227988	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 $3 x + y = 9$ ?
227989	Evaluate	y=3^-4	$y = 3^{- 4}$
227990	Simplify	arccsc(theta)	$arccsc (θ)$
227991	Divide	Divide 5a^2+6a-9 into 25a^4+19a^2-a-78	Divide $5 a^{2} + 6 a - 9$ into $25 a^{4} + 19 a^{2} - a - 78$
227992	Solve the System of Inequalities	3m>15 and -9m<18	$3 m > 15$ and $- 9 m < 18$
227993	Simplify	((7 square root of x-x square root of 7)/(7x))/(x-7)	$\frac{(\frac{7 \sqrt{x} - x \sqrt{7}}{7 x})}{x - 7}$
227994	Write with Rational (Fractional) Exponents	square root of 5* cube root of 5* fourth root of 5	$\sqrt{5} \cdot \sqrt[3]{5} \cdot \sqrt[4]{5}$
227995	Simplify	(8x^2-3x)-(5x-5-8x^2)	$(8 x^{2} - 3 x) - (5 x - 5 - 8 x^{2})$
227996	Graph	y=ab^(x-h)+k	$y = a b^{x - h} + k$
227997	Find the Product	2(9x-2y)	$2 (9 x - 2 y)$
227998	Solve the System of Equations	y-10=3x 2y=6x+20	$y - 10 = 3 x$ $2 y = 6 x + 20$
227999	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 $x + 3$
228000	Divide	((3x)/(x^2+10x+24))÷((x-6)/(x^2-36))	$\frac{3 x}{x^{2} + 10 x + 24} \div \frac{x - 6}{x^{2} - 36}$