Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7901	Simplify	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
7902	Simplify	fourth root of 256x^2* cube root of 27x	$\sqrt[4]{256 x^{2}} \cdot \sqrt[3]{27 x}$
7903	Simplify	(12x^5y^8)/(3y^3)*(2(x^6)^2)/(y^-3)	$\frac{12 x^{5} y^{8}}{3 y^{3}} \cdot \frac{2 {(x^{6})}^{2}}{y^{- 3}}$
7904	Find the Fourth Derivative	y=sin(4x-7)	$y = \sin (4 x - 7)$
7905	Simplify	( square root of 8x^2* square root of 12x^3)/( square root of 4x^4)x^2	$\frac{\sqrt{8 x^{2}} \cdot \sqrt{12 x^{3}}}{\sqrt{4 x^{4}}} x^{2}$
7906	Find the Antiderivative	(x^2)/(x^2+1)	$\frac{x^{2}}{x^{2} + 1}$
7907	Simplify	(-20xy^8)/(3x^-4y^2)*(-5x^-3y^5)/((-2y)^3)	$\frac{- 20 x y^{8}}{3 x^{- 4} y^{2}} \cdot \frac{- 5 x^{- 3} y^{5}}{{(- 2 y)}^{3}}$
7908	Simplify	(x-3y)/(x^3-y^3)-(2x)/(y^3-x^3)	$\frac{x - 3 y}{x^{3} - y^{3}} - \frac{2 x}{y^{3} - x^{3}}$
7909	Find the Reference Angle	cos(45 degrees )	$\cos (45 °)$
7910	Evaluate the Limit	limit as x approaches 1 of e^(-9x^5-4x^4-3x^2)	$lim_{x \to 1} e^{- 9 x^{5} - 4 x^{4} - 3 x^{2}}$
7911	Solve for x	12+ cube root of 2x-7=15	$12 + \sqrt[3]{2 x - 7} = 15$
7912	Convert from Radians to Degrees	(7pi)/6rad	$\frac{7 π}{6}$ radians
7913	Find the Slope	Find the slope of the line passing through the points (3,8) and (7,-7)	Find the slope of the line passing through the points $(3, 8)$ and $(7, - 7)$
7914	Solve for x	square root of 25-x^2=x+1	$\sqrt{25 - x^{2}} = x + 1$
7915	Evaluate	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
7916	Simplify	-1/2i^3( square root of -9-4)-3i^2	$- \frac{1}{2} i^{3} (\sqrt{- 9} - 4) - 3 i^{2}$
7917	Simplify	((5a^0b^4)/(c^-3))^2	${(\frac{5 a^{0} b^{4}}{c^{- 3}})}^{2}$
7918	Evaluate	2cos(pi/6)^2	$2 \cos^{2} (\frac{π}{6})$
7919	Find the Degree, Leading Term, and Leading Coefficient	x^4-1-1/10x^5	$x^{4} - 1 - \frac{1}{10} x^{5}$
7920	Simplify	(3x^14y^5z^15)/(6x^9y^2z)	$\frac{3 x^{14} y^{5} z^{15}}{6 x^{9} y^{2} z}$
7921	Solve for z	6(z-7)=z	$6 (z - 7) = z$
7922	Simplify the Radical Expression	( square root of 1200)/( square root of 4)	$\frac{\sqrt{1200}}{\sqrt{4}}$
7923	Find Where Increasing/Decreasing	x/(x+3)	$\frac{x}{x + 3}$
7924	Simplify	((2a+b)/a-(a+2b)/b)((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
7925	Find the Antiderivative	f(x)=( square root of 2-6x)^5	$f (x) = {(\sqrt{2} - 6 x)}^{5}$
7926	Divide	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
7927	Solve by Factoring	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
7928	Solve the Inequality for b	4b>132	$4 b > 132$
7929	Graph	y<-x+4 and y<=5	$y < - x + 4$ and $y \leq 5$
7930	Evaluate the Integral	1/pi integral from negative infinity to infinity of 1/(1+x^2) with respect to x	$\frac{1}{π} \int_{- \infty}^{\infty} \frac{1}{1 + x^{2}} d x$
7931	Simplify	square root of -(14a)^2	$\sqrt{- {(14 a)}^{2}}$
7932	Solve for x	5^(x-2)-5^3=500	$5^{x - 2} - 5^{3} = 500$
7933	Solve for V	486=6V^(2/3)	$486 = 6 V^{\frac{2}{3}}$
7934	Simplify	(-64)(2/3)	$(- 64) (\frac{2}{3})$
7935	Evaluate	2y^2*3x	$2 y^{2} \cdot 3 x$
7936	Find the Absolute Max and Min over the Interval	f(x)=arctan(x^2) on -2 , 2	$f (x) = \arctan (x^{2})$ on $- 2$ , $2$
7937	Simplify	(3i^2)(8i^3)	$(3 i^{2}) (8 i^{3})$
7938	Simplify	fourth root of 48xy^11z^3	$\sqrt[4]{48 x y^{11} z^{3}}$
7939	Find dy/dx	y=(2x+3)^3 square root of 4x^3-1	$y = {(2 x + 3)}^{3} \sqrt{4 x^{3} - 1}$
7940	Solve for x	4+(1/x-2)=20	$4 + (\frac{1}{x} - 2) = 20$
7941	Find the Domain	y=(x^3-8)/(x^2+x-2)	$y = \frac{x^{3} - 8}{x^{2} + x - 2}$
7942	Simplify	(6t^2-6)/(2t-4)	$\frac{6 t^{2} - 6}{2 t - 4}$
7943	Simplify	(x+y)-(x+y)	$(x + y) - (x + y)$
7944	Solve for r	3r-7s=K	$3 r - 7 s = K$
7945	Find the Domain	f(x,y)=(x^4+y^4)/(xy)	$f (x, y) = \frac{x^{4} + y^{4}}{x y}$
7946	Solve the System of Equations	x^2+2y=10 y=-3x+9	$x^{2} + 2 y = 10$ $y = - 3 x + 9$
7947	Find dv/dr	v=4/3pir^3	$v = \frac{4}{3} π r^{3}$
7948	Evaluate	(6^15)/(6^-7)	$\frac{6^{15}}{6^{- 7}}$
7949	Determine if Linear	4^x-9=y	$4^{x} - 9 = y$
7950	Simplify	(4y^2-25)/(4y^2-20y+25)	$\frac{4 y^{2} - 25}{4 y^{2} - 20 y + 25}$
7951	Write in Standard Form	3y^2+6y+15=12x	$3 y^{2} + 6 y + 15 = 12 x$
7952	Write the Fraction in Simplest Form	(4m^2)/((5m^4)^3)	$\frac{4 m^{2}}{{(5 m^{4})}^{3}}$
7953	Evaluate the Limit	limit as x approaches 0 of 5xcsc(2x)	$lim_{x \to 0} 5 x \csc (2 x)$
7954	Simplify the Radical Expression	(2+3 square root of 3)/( square root of 3+5)	$\frac{2 + 3 \sqrt{3}}{\sqrt{3} + 5}$
7955	Solve for v	16-8v=-8v-20-2v	$16 - 8 v = - 8 v - 20 - 2 v$
7956	Simplify	4^15*5^10	$4^{15} \cdot 5^{10}$
7957	Solve for x	8+4^(x-3)=1010	$8 + 4^{x - 3} = 1010$
7958	Simplify	-10i^104+9i^7+4i^100-9i^114	$- 10 i^{104} + 9 i^{7} + 4 i^{100} - 9 i^{114}$
7959	Evaluate	6.2÷(2x+1)=2 1/3÷4	$6.2 \div (2 x + 1) = 2 \frac{1}{3} \div 4$
7960	Solve for x	y=x-12 y=13	$y = x - 12$ $y = 13$
7961	Determine if (0,0) is a Solution	y>=3x-2 , (0,0)	$y \geq 3 x - 2$ , $(0, 0)$
7962	Solve the System of Equations	y=2/(3x)-2 y=-x+3	$y = \frac{2}{3 x} - 2$ $y = - x + 3$
7963	Simplify	7(1/3x+3)+2/3x+1	$7 (\frac{1}{3} x + 3) + \frac{2}{3} x + 1$
7964	Write in Standard Form	5x^5+2x^2-7-4x^4	$5 x^{5} + 2 x^{2} - 7 - 4 x^{4}$
7965	Rationalize the Denominator	1/( square root of 2b^3)	$\frac{1}{\sqrt{2 b^{3}}}$
7966	Simplify the Radical Expression	(4 square root of 6)^2	${(4 \sqrt{6})}^{2}$
7967	Rationalize the Denominator	( cube root of 10)/( cube root of 2)	$\frac{\sqrt[3]{10}}{\sqrt[3]{2}}$
7968	Factor by Grouping	x^4-36	$x^{4} - 36$
7969	Simplify	(-2c^-1d^3)^3	${(- 2 c^{- 1} d^{3})}^{3}$
7970	Find Amplitude, Period, and Phase Shift	f(t)=2sin((2pi)/5t)	$f (t) = 2 \sin (\frac{2 π}{5} t)$
7971	Find the Asymptotes	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
7972	Factor	128y-2x^3y	$128 y - 2 x^{3} y$
7973	Find the Maximum/Minimum Value	f(x)=10+12x-3x^2-2x^3	$f (x) = 10 + 12 x - 3 x^{2} - 2 x^{3}$
7974	Find the x and y Intercepts	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
7975	Find the Inverse	f(x)=(x+3)^2-2 , x<=-3	$f (x) = {(x + 3)}^{2} - 2$ , $x \leq - 3$
7976	Graph	y<=2x+2 y<=1/5x	$y \leq 2 x + 2$ $y \leq \frac{1}{5} x$
7977	Divide	((((-27÷(-9))÷1)÷(-1))÷(-1))÷1	$- 27 \div (- 9) \div 1 \div (- 1) \div (- 1) \div 1$
7978	Solve by Completing the Square	2x^2+42x+260=6x	$2 x^{2} + 42 x + 260 = 6 x$
7979	Evaluate	15-1(12÷4+1)	$15 - 1 (12 \div 4 + 1)$
7980	Find the Antiderivative	f(x)=-3 cube root of x	$f (x) = - 3 \sqrt[3]{x}$
7981	Solve for x	2x(x-3)+5(x-3)=0	$2 x (x - 3) + 5 (x - 3) = 0$
7982	Simplify	3^(4/2)	$3^{\frac{4}{2}}$
7983	Solve the Inequality for x	\|x\|>-5	$\| x \| > - 5$
7984	Simplify	5x+3x+2y+4y	$5 x + 3 x + 2 y + 4 y$
7985	Find the Cotangent Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
7986	Evaluate	(-2+- square root of 2^2-41-3)/(2(1))	$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$
7987	Evaluate	(2x^-6)^-2	${(2 x^{- 6})}^{- 2}$
7988	Find the Exact Value	sec(45 degrees )cot(30 degrees )	$\sec (45 °) \cot (30 °)$
7989	Simplify	((w^5)/w)^(1/14)	${(\frac{w^{5}}{w})}^{\frac{1}{14}}$
7990	Solve for x	square root of 9x-3 = square root of x+5	$\sqrt{9 x} - 3 = \sqrt{x + 5}$
7991	Simplify	(8/(2n^3))÷4n^2	$\frac{8}{2 n^{3}} \div 4 n^{2}$
7992	Simplify the Radical Expression	square root of 175- square root of 28	$\sqrt{175} - \sqrt{28}$
7993	Find Where Increasing/Decreasing	f(x)=2/5x^5+x^4-32x^3+10	$f (x) = \frac{2}{5} x^{5} + x^{4} - 32 x^{3} + 10$
7994	Solve the System of Equations	-2x+3y+9z=0 -2x+6y+7z=-4 2x+5y-8z=2	$- 2 x + 3 y + 9 z = 0$ $- 2 x + 6 y + 7 z = - 4$ $2 x + 5 y - 8 z = 2$
7995	Divide	(6x^2-9x-6)÷(x-2)	$(6 x^{2} - 9 x - 6) \div (x - 2)$
7996	Find the Derivative - d/dx	square root of x^3+3x^2	$\sqrt{x^{3} + 3 x^{2}}$
7997	Simplify	(3/162/5)/(7/43/2)	$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$
7998	Simplify	(2^8)/(2^3)+3^0	$\frac{2^{8}}{2^{3}} + 3^{0}$
7999	Solve for x	-36=-9(x-12)^(1/2)	$- 36 = - 9 {(x - 12)}^{\frac{1}{2}}$
8000	Simplify	e^(2x)e^5e^(x-2)	$e^{2 x} \cdot e^{5} \cdot e^{x - 2}$