Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8901	Simplify	2 square root of 27-3 square root of 48+1/5 square root of 75	$2 \sqrt{27} - 3 \sqrt{48} + \frac{1}{5} \sqrt{75}$
8902	Find the Antiderivative	1/( square root of 1-x square root of 1+x)	$\frac{1}{\sqrt{1 - x} \sqrt{1 + x}}$
8903	Solve the System of Equations	y=x^2+3x+7 y=11x-9	$y = x^{2} + 3 x + 7$ $y = 11 x - 9$
8904	Find the Exact Value	2^3-12÷6-1	$2^{3} - 12 \div 6 - 1$
8905	Divide	(35x^4-21x^6-42x^2)/(7x^2)	$\frac{35 x^{4} - 21 x^{6} - 42 x^{2}}{7 x^{2}}$
8906	Simplify the Radical Expression	square root of m/n	$\sqrt{\frac{m}{n}}$
8907	Write the Fraction in Simplest Form	(6t)/(2(t^4)^3)	$\frac{6 t}{2 {(t^{4})}^{3}}$
8908	Find the Exact Value	(-1/2)/(( square root of 3)/2)	$\frac{- \frac{1}{2}}{\frac{\sqrt{3}}{2}}$
8909	Simplify the Radical Expression	((a^12)/(b^6))^(1/6)	${(\frac{a^{12}}{b^{6}})}^{\frac{1}{6}}$
8910	Find the Exact Value	tan(pi/6)+sin((5pi)/3)*cos(-(3pi)/4)	$\tan (\frac{π}{6}) + \sin (\frac{5 π}{3}) \cdot \cos (- \frac{3 π}{4})$
8911	Solve the Rational Equation for x	square root of x-1+5=9	$\sqrt{x - 1} + 5 = 9$
8912	Find the Coterminal Angle	-(25pi)/3	$- \frac{25 π}{3}$
8913	Solve for x	4x^2-25<0	$4 x^{2} - 25 < 0$
8914	Find the GCF	Find the GCF of 7x and 14xy	Find the GCF of $7 x$ and $14 x y$
8915	Solve the Rational Equation for x	10 square root of 9x=60	$10 \sqrt{9 x} = 60$
8916	Simplify	cube root of r^-6*r^-3	$\sqrt[3]{r^{- 6} \cdot r^{- 3}}$
8917	Solve for x	log base 2 of 3x^2-3- log base 2 of 2x+2=4	$\log_{2} (3 x^{2} - 3) - \log_{2} (2 x + 2) = 4$
8918	Expand the Logarithmic Expression	log of x/( cube root of y^4z^2)	$\log (\frac{x}{\sqrt[3]{y^{4} z^{2}}})$
8919	Find the x and y Intercepts	(x^2-3x-10)/(2x^2+3x-2)	$\frac{x^{2} - 3 x - 10}{2 x^{2} + 3 x - 2}$
8920	Divide	(x^2+6x^3+7)÷(3x+5)	$(x^{2} + 6 x^{3} + 7) \div (3 x + 5)$
8921	Solve for θ	sec(theta)=2/( square root of 3)	$\sec (θ) = \frac{2}{\sqrt{3}}$
8922	Simplify	(k+8)/(k^2-2k-80)*(k^2-6k-40)/(5k)	$\frac{k + 8}{k^{2} - 2 k - 80} \cdot \frac{k^{2} - 6 k - 40}{5 k}$
8923	Simplify	cube root of 2* fourth root of 2^5	$\sqrt[3]{2} \cdot \sqrt[4]{2^{5}}$
8924	Simplify	(-6/d)^-2	${(- \frac{6}{d})}^{- 2}$
8925	Evaluate the Summation	sum from k=0 to 2 of k^4+k^2	$\sum_{k = 0}^{2} k^{4} + k^{2}$
8926	Simplify	square root of cube root of x^10	$\sqrt{\sqrt[3]{x^{10}}}$
8927	Simplify	1/4(8mn)(-6m^2n^2)	$\frac{1}{4} (8 m n) (- 6 m^{2} n^{2})$
8928	Write in Exponential Form	log base 5 of 2x=y	$\log_{5} (2 x) = y$
8929	Evaluate the Limit	limit as x approaches pi/2 of 2x+sin(x)	$lim_{x \to \frac{π}{2}} 2 x + \sin (x)$
8930	Simplify	((2a)^6)/(a^2)	$\frac{{(2 a)}^{6}}{a^{2}}$
8931	Find the Asymptotes	g(x)=(3(x^2+1))/(x^2+2x-15)	$g (x) = \frac{3 (x^{2} + 1)}{x^{2} + 2 x - 15}$
8932	Find the Slope	(0,-2) and (-6,4)	$(0, - 2)$ and $(- 6, 4)$
8933	Solve for R	P=i^2R	$P = i^{2} R$
8934	Evaluate the Limit	limit as x approaches 0 of (2x+sin(3x))/(tan(5x))	$lim_{x \to 0} \frac{2 x + \sin (3 x)}{\tan (5 x)}$
8935	Simplify	subtract 2x^2+6x-5 from 7x^2+3x+4	subtract $2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
8936	Simplify the Radical Expression	(b^(3/7))(b^(4/7))	$(b^{\frac{3}{7}}) (b^{\frac{4}{7}})$
8937	Find the Linearization at g(x)=x³-x²-20x	g(x)=x^3-x^2-20x , x+4	$g (x) = x^{3} - x^{2} - 20 x$ , $x + 4$
8938	Find the Domain and Range	y=-sec(2x)	$y = - \sec (2 x)$
8939	Find the Domain and Range	15- square root of x+2	$15 - \sqrt{x + 2}$
8940	Solve the Inequality for p	2(p+1)+3(p+2)>2	$2 (p + 1) + 3 (p + 2) > 2$
8941	Divide	(28d^3k^2+d^2k^2-4dk^2)(4dk^2)^-1	$(28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}) {(4 d k^{2})}^{- 1}$
8942	Simplify the Radical Expression	square root of (8x)/5	$\sqrt{\frac{8 x}{5}}$
8943	Solve for x	square root of x=3 square root of 2	$\sqrt{x} = 3 \sqrt{2}$
8944	Write the Fraction in Simplest Form	(3(r^2)^4)/(15r^8)	$\frac{3 {(r^{2})}^{4}}{15 r^{8}}$
8945	Solve for n	27^(3n)=81^(2n+1)	$27^{3 n} = 81^{2 n + 1}$
8946	Simplify	(-1/2x)(4x^2)^3	$(- \frac{1}{2} x) {(4 x^{2})}^{3}$
8947	Simplify	- square root of x+6 square root of x-2 square root of x	$- \sqrt{x} + 6 \sqrt{x} - 2 \sqrt{x}$
8948	Simplify	square root of 3(3+ square root of 5)	$\sqrt{3} (3 + \sqrt{5})$
8949	Write the Fraction in Simplest Form	(6z)/(2(z^2)^5)	$\frac{6 z}{2 {(z^{2})}^{5}}$
8950	Simplify	2(i^2)(i^3)	$2 (i^{2}) (i^{3})$
8951	Simplify	(-1/2)÷(-( square root of 3)/2)	$- \frac{1}{2} \div (- \frac{\sqrt{3}}{2})$
8952	Simplify	(1/(25x)*x^9)^(-1/2)	${(\frac{1}{25 x} \cdot x^{9})}^{- \frac{1}{2}}$
8953	Simplify	2/( cube root of 4-3)	$\frac{2}{\sqrt[3]{4} - 3}$
8954	Simplify	(12x^2)/(x^2-3)-36/(x^2-3)	$\frac{12 x^{2}}{x^{2} - 3} - \frac{36}{x^{2} - 3}$
8955	Convert to Scientific Notation	(340000.4)/(0.02200)	$\frac{34000 \cdot 0.4}{0.02 \cdot 200}$
8956	Divide Using Synthetic Division	(4p^3-p^2+2p)÷(3p-1)	$(4 p^{3} - p^{2} + 2 p) \div (3 p - 1)$
8957	Simplify the Radical Expression	-4 square root of 216x^2y^2z	$- 4 \sqrt{216 x^{2} y^{2} z}$
8958	Simplify	(2x-3)/(x+4)+(4x-5)/(x+4)	$\frac{2 x - 3}{x + 4} + \frac{4 x - 5}{x + 4}$
8959	Solve for x	(n^(3x-9))^(x+2)=(n^3)^6	${(n^{3 x - 9})}^{x + 2} = {(n^{3})}^{6}$
8960	Solve the Inequality for x	\|2x-1\|>\|3x+5\|	$\| 2 x - 1 \| > \| 3 x + 5 \|$
8961	Evaluate	3^3-27÷9*2+11	$3^{3} - 27 \div 9 \cdot 2 + 11$
8962	Graph	y=-2x+3 4x+2y=6	$y = - 2 x + 3$ $4 x + 2 y = 6$
8963	Write the Fraction in Simplest Form	(5d^9)/((4d)^2)	$\frac{5 d^{9}}{{(4 d)}^{2}}$
8964	Simplify	-5(3c-9)-9c-7c^2+5	$- 5 (3 c - 9) - 9 c - 7 c^{2} + 5$
8965	Simplify	(4x^2y)/(2x)	$\frac{4 x^{2} y}{2 x}$
8966	Solve Using the Quadratic Formula	2(4x-10)^2=26	$2 {(4 x - 10)}^{2} = 26$
8967	Solve for x	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
8968	Find the End Behavior	f(x)=-10x^6+400x^3-2400-1200x^2-3520x+250x^4	$f (x) = - 10 x^{6} + 400 x^{3} - 2400 - 1200 x^{2} - 3520 x + 250 x^{4}$
8969	Simplify	10x^3y*3x^-3y	$10 x^{3} y \cdot 3 x^{- 3} y$
8970	Simplify the Radical Expression	cube root of 2/3	$\sqrt[3]{\frac{2}{3}}$
8971	Simplify	i^35i^17i^35	$i^{35} \cdot i^{17} \cdot i^{35}$
8972	Simplify	(6x-12)/(4x^2)*(3x^3)/(2x-4)	$\frac{6 x - 12}{4 x^{2}} \cdot \frac{3 x^{3}}{2 x - 4}$
8973	Simplify	(16^(-1/6)*9^(1/6))^2	${(16^{\frac{- 1}{6}} \cdot 9^{\frac{1}{6}})}^{2}$
8974	Simplify	i^18i^24i^27*i^16	$i^{18} \cdot i^{24} \cdot i^{27} \cdot i^{16}$
8975	Solve for k	square root of 5(x-k)=x-k	$\sqrt{5 (x - k)} = x - k$
8976	Solve for x	5(1-2(2+x))=4x	$5 (1 - 2 (2 + x)) = 4 x$
8977	Simplify	(x^3+8)÷(x+2)	$(x^{3} + 8) \div (x + 2)$
8978	Solve for x	2-4(1/9x)=-6	$2 - 4 (\frac{1}{9} x) = - 6$
8979	Simplify	(5x^2-3x+7x)+(9x^2+2x^2+7x)	$(5 x^{2} - 3 x + 7 x) + (9 x^{2} + 2 x^{2} + 7 x)$
8980	Solve for x	4/3x-1/4=1/2(5x-1)	$\frac{4}{3} x - \frac{1}{4} = \frac{1}{2} (5 x - 1)$
8981	Find the Antiderivative	f(x)=5/((2-8x)^3)	$f (x) = \frac{5}{{(2 - 8 x)}^{3}}$
8982	Solve the Inequality for x	8\|x-2\|+3>=19	$8 \| x - 2 \| + 3 \geq 19$
8983	Evaluate the Integral	integral from 0 to 1 of (x^2-1)^4x^3 with respect to x	$\int_{0}^{1} {(x^{2} - 1)}^{4} x^{3} d x$
8984	Evaluate	2^x=4^(x+1)	$2^{x} = 4^{x + 1}$
8985	Simplify the Radical Expression	( fourth root of 10)^4	${(\sqrt[4]{10})}^{4}$
8986	Simplify	1/(sin(x)+cot(x)cos(x))	$\frac{1}{\sin (x) + \cot (x) \cos (x)}$
8987	Integrate By Parts	integral of e^(4theta)sin(5theta) with respect to theta	$\int e^{4 θ} \sin (5 θ) d θ$
8988	Find the Holes in the Graph	y=(x^2-9)/(x-3)	$y = \frac{x^{2} - 9}{x - 3}$
8989	Graph	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
8990	Simplify	i^29i^27i^30	$i^{29} \cdot i^{27} \cdot i^{30}$
8991	Write in Standard Form	f(x)=(x-1)^2(x+1)	$f (x) = {(x - 1)}^{2} (x + 1)$
8992	Find the Asymptotes	g(x)=2/(x^2(x-2))	$g (x) = \frac{2}{x^{2} (x - 2)}$
8993	Simplify	(-3/(2^3))^-2	${(- \frac{3}{2^{3}})}^{- 2}$
8994	Expand the Logarithmic Expression	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
8995	Multiply	(2ab+5c)(2ab-5c)	$(2 a b + 5 c) (2 a b - 5 c)$
8996	Solve for z	7(z-5)=z	$7 (z - 5) = z$
8997	Simplify	(7e^2i-3)^2	${(7 e^{2} i - 3)}^{2}$
8998	Find the Domain and Range	f(x) = square root of x^2-4x+4	$f (x) = \sqrt{x^{2} - 4 x + 4}$
8999	Find the Cotangent Given the Point	(1, square root of 3)	$(1, \sqrt{3})$
9000	Graph	x-2y>-8 x+y>=1	$x - 2 y > - 8$ $x + y \geq 1$