Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
36301	Solve for D	2sin(D)^2+sin(D)-1=0	$2 \sin^{2} (D) + \sin (D) - 1 = 0$
36302	Evaluate the Integral	integral of t(3t^3+1) with respect to x	$\int t (3 t^{3} + 1) d x$
36303	Find the Derivative - d/dt	y = natural log of 2t^4e^(-t)	$y = \ln (2 t^{4} e^{- t})$
36304	Find the Roots (Zeros)	f(x)=(x-2)/(x^2+6x)	$f (x) = \frac{x - 2}{x^{2} + 6 x}$
36305	Simplify the Matrix	(-21v^6)/(-6v^8) , v!=0	$\frac{- 21 v^{6}}{- 6 v^{8}}$ , $v \neq 0$
36306	Simplify	(4n)/(6n^2+24n)+(6n)/(6n^2+24n)	$\frac{4 n}{6 n^{2} + 24 n} + \frac{6 n}{6 n^{2} + 24 n}$
36307	Simplify	(-4i)^2*(2i)^3	${(- 4 i)}^{2} \cdot {(2 i)}^{3}$
36308	Find the Reference Angle	sin((11pi)/4)	$\sin (\frac{11 π}{4})$
36309	Evaluate	3tan(x)^2-1=0	$3 \tan^{2} (x) - 1 = 0$
36310	Solve the System of Equations	m=5n-3 m=3n+7	$m = 5 n - 3$ $m = 3 n + 7$
36311	Solve the Absolute Value Inequality for x	2=\|-4x+9\|	$2 = \| - 4 x + 9 \|$
36312	Write in Standard Form	(11b^2-4b+7)-(b^2+8b-9)	$(11 b^{2} - 4 b + 7) - (b^{2} + 8 b - 9)$
36313	Solve Using the Quadratic Formula	x^4-36	$x^{4} - 36$
36314	Subtract	5 1/6-7 1/3	$5 \frac{1}{6} - 7 \frac{1}{3}$
36315	Find the Inverse	f(x)=(2(x+3)-2)/3	$f (x) = \frac{2 (x + 3) - 2}{3}$
36316	Find All Complex Solutions	3(2d-1)-2d=4(d-2)+5	$3 (2 d - 1) - 2 d = 4 (d - 2) + 5$
36317	Find the Derivative - d/dx	-2xe^(-x)+2e^(-x)	$- 2 x e^{- x} + 2 e^{- x}$
36318	Multiply	(x+3)/(x+2)*(x^2-x-6)/(x^2-9)	$\frac{x + 3}{x + 2} \cdot \frac{x^{2} - x - 6}{x^{2} - 9}$
36319	Simplify	((ab^2)/(cd^3))^0	${(\frac{a b^{2}}{c d^{3}})}^{0}$
36320	Simplify	( square root of 3)/( square root of 8)*( square root of 2)/( square root of 2)	$\frac{\sqrt{3}}{\sqrt{8}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
36321	Rationalize the Denominator	2/( square root of a- square root of b)	$\frac{2}{\sqrt{a} - \sqrt{b}}$
36322	Solve for x	1/16*(1/8)^x<=(1/4)^x	$\frac{1}{16} \cdot {(\frac{1}{8})}^{x} \leq {(\frac{1}{4})}^{x}$
36323	Solve by Factoring	y=x^2+2x-3	$y = x^{2} + 2 x - 3$
36324	Simplify	(x^5y^2)^3(-3x^3y^5)^2(2xz^6)	${(x^{5} y^{2})}^{3} {(- 3 x^{3} y^{5})}^{2} (2 x z^{6})$
36325	Graph	Find f(1)	Find $f (1)$
36326	Evaluate the Integral	integral of (a+bx^2)/( square root of 3ax+bx^3) with respect to a	$\int \frac{a + b x^{2}}{\sqrt{3 a x + b x^{3}}} d a$
36327	Evaluate	60% of 45	$60 %$ of $45$
36328	Solve for x	8*2^(x+6)=32	$8 \cdot 2^{x + 6} = 32$
36329	Solve the System of Equations	x+y-2z=3 -x-y+3z=-2 x+2y-2z=6	$x + y - 2 z = 3$ $- x - y + 3 z = - 2$ $x + 2 y - 2 z = 6$
36330	Solve for x	4(x-3)>=25	$4 (x - 3) \geq 25$
36331	Solve the Function Operation	Given that f(x)=x^2-3x-70 and g(x)=x-10 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 70$ and $g (x) = x - 10$ ; find $(f + g) (x)$ and express the result in standard form.
36332	Simplify	3/4b+2 4/5b	$\frac{3}{4} b + 2 \frac{4}{5} b$
36333	Simplify the Radical Expression	3 cube root of 5y^3*2 cube root of 50y^4	$3 \sqrt[3]{5 y^{3}} \cdot 2 \sqrt[3]{50 y^{4}}$
36334	Solve the Inequality for y	-2(4y-7)+y>=2y-(-9+y)	$- 2 (4 y - 7) + y \geq 2 y - (- 9 + y)$
36335	Solve for x	3+(x-2)/(x-3)<=4	$3 + \frac{x - 2}{x - 3} \leq 4$
36336	Find the Leading Coefficient	f(x)=2x+x^3+4	$f (x) = 2 x + x^{3} + 4$
36337	Evaluate	4 cube root of 8000-6	$4 \sqrt[3]{8000 - 6}$
36338	Evaluate	8v-4(v+8)=8	$8 v - 4 (v + 8) = 8$
36339	Evaluate the Integral	integral from -1 to 1 of e^x-(x^2-1) with respect to x	$\int_{- 1}^{1} e^{x} - (x^{2} - 1) d x$
36340	Find the x and y Intercepts	f(x)=(x^2+2x-8)(x-6)	$f (x) = (x^{2} + 2 x - 8) (x - 6)$
36341	Factor	7ax+21x^2y	$7 a x + 21 x^{2} y$
36342	Evaluate	(6x-2)/(9x)=(2x-1)/(3x+1)	$\frac{6 x - 2}{9 x} = \frac{2 x - 1}{3 x + 1}$
36343	Find dy/dx	5x^3=y^3-4y	$5 x^{3} = y^{3} - 4 y$
36344	Simplify	1/(3x^3)+1/5	$\frac{1}{3 x^{3}} + \frac{1}{5}$
36345	Simplify	(4(-x)^2-1)/(-x^2)	$\frac{4 {(- x)}^{2} - 1}{- x^{2}}$
36346	Solve the System of Equations	x-y=-12 and -8x-4y=-12	$x - y = - 12$ and $- 8 x - 4 y = - 12$
36347	Evaluate the Integral	integral of 2 square root of x square root of 1+(1/( square root of x))^2 with respect to x	$\int 2 \sqrt{x} \sqrt{1 + {(\frac{1}{\sqrt{x}})}^{2}} d x$
36348	Multiply	3n(n^2-6n+5)	$3 n (n^{2} - 6 n + 5)$
36349	Simplify	square root of xy^3* cube root of x^2y	$\sqrt{x y^{3}} \cdot \sqrt[3]{x^{2} y}$
36350	Simplify	cube root of (27x^12)/9	$\sqrt[3]{\frac{27 x^{12}}{9}}$
36351	Write the Fraction in Simplest Form	(3b^-9)/((3b^-4c^-3)^-3)	$\frac{3 b^{- 9}}{{(3 b^{- 4} c^{- 3})}^{- 3}}$
36352	Find the Maximum/Minimum Value	f(x)=x^5-4x^3+x^2+2	$f (x) = x^{5} - 4 x^{3} + x^{2} + 2$
36353	Evaluate the Function	f(2)=(3x^2-7)/(4x^2-3)	$f (2) = \frac{3 x^{2} - 7}{4 x^{2} - 3}$
36354	Evaluate the Integral	integral of 20x^3sec(5x^4-1)tan(5x^4-1) with respect to x	$\int 20 x^{3} \sec (5 x^{4} - 1) \tan (5 x^{4} - 1) d x$
36355	Find All Complex Solutions	2+ square root of 2x-3 = square root of x+7	$2 + \sqrt{2 x - 3} = \sqrt{x + 7}$
36356	Simplify	pi/2-(2pi)/7	$\frac{π}{2} - \frac{2 π}{7}$
36357	Solve for x	1/(2x)-1/x=2-1/(3x)	$\frac{1}{2 x} - \frac{1}{x} = 2 - \frac{1}{3 x}$
36358	Solve Using the Quadratic Formula	x=(3+- square root of (-3)^2-42-5)/(2(2))	$x = \frac{3 + - \sqrt{{(- 3)}^{2} - 4 \cdot 2 \cdot - 5}}{2 (2)}$
36359	Simplify	square root of -(-9)^2	$\sqrt{- {(- 9)}^{2}}$
36360	Solve for x	11x+3=4x^2	$11 x + 3 = 4 x^{2}$
36361	Simplify	(10+y^2)(10-y^2)	$(10 + y^{2}) (10 - y^{2})$
36362	Convert to Radical Form	(81^8)^(-1/4)	${(81^{8})}^{- \frac{1}{4}}$
36363	Simplify	((x^3)^7+x^10)/(x^4)	$\frac{{(x^{3})}^{7} + x^{10}}{x^{4}}$
36364	Simplify	( square root of 2+2 square root of 8)(3 square root of 6- square root of 5)	$(\sqrt{2} + 2 \sqrt{8}) (3 \sqrt{6} - \sqrt{5})$
36365	Simplify	square root of m^3 fourth root of m	$\sqrt{m^{3}} \sqrt[4]{m}$
36366	Factor	5t^6+2t^5-5t^4-2t^3	$5 t^{6} + 2 t^{5} - 5 t^{4} - 2 t^{3}$
36367	Simplify	(4x^2+23x+15)/(16x^2-9)*(4x^2+9x-9)/(x^2+2x-15)	$\frac{4 x^{2} + 23 x + 15}{16 x^{2} - 9} \cdot \frac{4 x^{2} + 9 x - 9}{x^{2} + 2 x - 15}$
36368	Simplify	(-10x-4x^3-7)+(14+7x-11x^3)	$(- 10 x - 4 x^{3} - 7) + (14 + 7 x - 11 x^{3})$
36369	Convert from Degrees to Radians	( square root of 3)/2	$\frac{\sqrt{3}}{2}$
36370	Find the Third Term	A_n=n(n-1)(n-2)	$A_{n} = n (n - 1) (n - 2)$
36371	Solve for t	3sin(t)=2cos(t)^2	$3 \sin (t) = 2 \cos^{2} (t)$
36372	Simplify	(x^4y^-2z^3)/(x^-5y^2z)	$\frac{x^{4} y^{- 2} z^{3}}{x^{- 5} y^{2} z}$
36373	Evaluate	3 log base 7 of sixth root of 49	$3 \log_{7} (\sqrt[6]{49})$
36374	Simplify	(x^2-64)/(5x-1)	$\frac{x^{2} - 64}{5 x - 1}$
36375	Evaluate	((3pi)/4)/(2pi)	$\frac{\frac{3 π}{4}}{2 π}$
36376	Solve for x	1/2(-10x+4)=-4(-3+2x)+8	$\frac{1}{2} (- 10 x + 4) = - 4 (- 3 + 2 x) + 8$
36377	Find All Complex Solutions	7(2+5v)=3v+14	$7 (2 + 5 v) = 3 v + 14$
36378	Find the x and y Intercepts	f(x)=x(x+2)(x-3)(x+4)	$f (x) = x (x + 2) (x - 3) (x + 4)$
36379	Evaluate the Summation	6 sum from t=1 to 4 of 9-2t^2	$6 \sum_{t = 1}^{4} 9 - 2 t^{2}$
36380	Simplify	3/10+1/(5x)	$\frac{3}{10} + \frac{1}{5 x}$
36381	Evaluate	25% of 12	$25 %$ of $12$
36382	Solve for m	Solve the equation, 0.5m=45.5	Solve the equation, $0.5 m = 45.5$
36383	Simplify	1/4(70x-30(x-2))	$\frac{1}{4} (70 x - 30 (x - 2))$
36384	Solve for n	3(7-2n)=-3(5-n)	$3 (7 - 2 n) = - 3 (5 - n)$
36385	Subtract	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
36386	Evaluate	-1/(pi/2)	$\frac{- 1}{\frac{π}{2}}$
36387	Add	(6x^3+2x^2-4x)+(3x^2-7x+1)+(2x^3-5x^2+8x-7)	$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$
36388	Divide	((2k+5)/(2k^4+5k^3))÷((35k^2+2k-1)/(7k^3-k^2))	$\frac{2 k + 5}{2 k^{4} + 5 k^{3}} \div \frac{35 k^{2} + 2 k - 1}{7 k^{3} - k^{2}}$
36389	Divide	((x^2)/(x^2-x-42))÷((5x)/(x^2-36))	$\frac{x^{2}}{x^{2} - x - 42} \div \frac{5 x}{x^{2} - 36}$
36390	Factor	f(x)=x^4-18x^2+81	$f (x) = x^{4} - 18 x^{2} + 81$
36391	Solve for x	4x-(3+5x)=2(x-1)+1	$4 x - (3 + 5 x) = 2 (x - 1) + 1$
36392	Find the Remainder	x^5-32 is divided by x-2	$x^{5} - 32$ is divided by $x - 2$
36393	Find the Inverse	f(x) = cube root of 2x^5-10	$f (x) = \sqrt[3]{2 x^{5} - 10}$
36394	Simplify the Radical Expression	- square root of 36+ square root of -72- square root of 1+ square root of -162	$- \sqrt{36} + \sqrt{- 72} - \sqrt{1} + \sqrt{- 162}$
36395	Find the Degree, Leading Term, and Leading Coefficient	f(x)=0	$f (x) = 0$
36396	Convert to Interval Notation	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
36397	Evaluate	(8-2)^2+1/4(4-3(6-10))	${(8 - 2)}^{2} + \frac{1}{4} (4 - 3 (6 - 10))$
36398	Solve for x	2 log of 2x+2 = log of 16+2 log of x-2	$2 \log (2 x + 2) = \log (16) + 2 \log (x - 2)$
36399	Simplify	((a^2bc^4)/(a^3c^2))^-2	${(\frac{a^{2} b c^{4}}{a^{3} c^{2}})}^{- 2}$
36400	Graph	y=x^4+5x^3+2x^2-8x	$y = x^{4} + 5 x^{3} + 2 x^{2} - 8 x$