Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37701	Find the Antiderivative	sin(x)^2-cos(x)^2	$\sin^{2} (x) - \cos^{2} (x)$
37702	Multiply	6(-4)(-5/6)(-3/4)	$6 (- 4) (- \frac{5}{6}) (- \frac{3}{4})$
37703	Graph	7/3-1/2x>=7/6+x	$\frac{7}{3} - \frac{1}{2} x \geq \frac{7}{6} + x$
37704	Evaluate	(7(5)^(5/3))/(49(5)^(2/3))	$\frac{7 {(5)}^{\frac{5}{3}}}{49 {(5)}^{\frac{2}{3}}}$
37705	Solve for x	1/4+1/5=(x-3)/20	$\frac{1}{4} + \frac{1}{5} = \frac{x - 3}{20}$
37706	Solve for m	6-2(15-m)=-3m-4	$6 - 2 (15 - m) = - 3 m - 4$
37707	Find the Reference Angle	-135deg	$- 135$ degrees
37708	Simplify the Radical Expression	cube root of 2^4*5^5	$\sqrt[3]{2^{4}} \cdot 5^{5}$
37709	Plot	x-y>5	$x - y > 5$
37710	Solve for n	m/x=p/n	$\frac{m}{x} = \frac{p}{n}$
37711	Evaluate the Limit	limit as x approaches infinity of (4(4-x)(x-5))/(13(x-1)(x+8))	$lim_{x \to \infty} \frac{4 (4 - x) (x - 5)}{13 (x - 1) (x + 8)}$
37712	Find Amplitude, Period, and Phase Shift	y=1/2cos((pix)/3-3/5)	$y = \frac{1}{2} \cos (\frac{π x}{3} - \frac{3}{5})$
37713	Find the Maximum/Minimum Value	y=2-(sin(5x))/3	$y = 2 - \frac{\sin (5 x)}{3}$
37714	Simplify	4a^2b^0*4ab^2	$4 a^{2} b^{0} \cdot 4 a b^{2}$
37715	Simplify the Radical Expression	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
37716	Evaluate	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
37717	Multiply	2x^2(x^3+x^2+4x)	$2 x^{2} (x^{3} + x^{2} + 4 x)$
37718	Find the Reference Angle	cot((41pi)/6)	$\cot (\frac{41 π}{6})$
37719	Simplify	(x/2)÷(x/4)	$\frac{x}{2} \div \frac{x}{4}$
37720	Simplify	-(5ab+6a)+(ba-12a)-(7cb-2ab)+(bc+c)	$- (5 a b + 6 a) + (b a - 12 a) - (7 c b - 2 a b) + (b c + c)$
37721	Evaluate	log base 7 of 6+3 log base 7 of 2=x	$\log_{7} (6) + 3 \log_{7} (2) = x$
37722	Write in Standard Form	(x^2-2x-80)-(x-10)	$(x^{2} - 2 x - 80) - (x - 10)$
37723	Simplify	(3+ square root of 3)/( square root of 3-1)	$\frac{3 + \sqrt{3}}{\sqrt{3} - 1}$
37724	Find the Fourth Derivative	4 fifth root of x^3-1/(8x^2)- square root of x	$4 \sqrt[5]{x^{3}} - \frac{1}{8 x^{2}} - \sqrt{x}$
37725	Evaluate	cot(360 degrees )	$\cot (360 °)$
37726	Simplify	8(k+m)-15(2k+5m)	$8 (k + m) - 15 (2 k + 5 m)$
37727	Multiply	aa^2a^3	$a \cdot a^{2} \cdot a^{3}$
37728	Solve for x	-9-2(3.2x-9)+2x=-4.9x	$- 9 - 2 (3.2 x - 9) + 2 x = - 4.9 x$
37729	Solve for x	cube root of 5x^2+5x-4- cube root of 6x=0	$\sqrt[3]{5 x^{2} + 5 x - 4} - \sqrt[3]{6 x} = 0$
37730	Simplify	( square root of 5)^-2	${(\sqrt{5})}^{- 2}$
37731	Solve the Inequality for x	4-2x<3(3-x)	$4 - 2 x < 3 (3 - x)$
37732	Evaluate	2^3+3(2)+14÷2	$2^{3} + 3 (2) + 14 \div 2$
37733	Simplify	2a-4b-3(a-2b-2)	$2 a - 4 b - 3 (a - 2 b - 2)$
37734	Solve for θ in Degrees	csc(theta)^2-4=0	$\csc^{2} (θ) - 4 = 0$
37735	Solve the Inequality for j	1.5j<-6.6	$1.5 j < - 6.6$
37736	Simplify	(-3^2)	$(- 3^{2})$
37737	Graph	y<e^x	$y < e^{x}$
37738	Graph	x\|x\|>=3	$x \| x \| \geq 3$
37739	Expand Using the Binomial Theorem	(np-1)^4	${(n p - 1)}^{4}$
37740	Solve the Rational Equation for n	4- square root of 3n=0	$4 - \sqrt{3 n} = 0$
37741	Simplify the Radical Expression	square root of 4r^8g^1p^3	$\sqrt{4 r^{8} g^{1} p^{3}}$
37742	Evaluate the Integral	integral from 1 to 6 of 9/(4 fourth root of 3x-2) with respect to x	$\int_{1}^{6} \frac{9}{4 \sqrt[4]{3 x - 2}} d x$
37743	Graph	x<7 or x<8	$x < 7$ or $x < 8$
37744	Simplify	(a^-2+a^-1+a^0)/a	$\frac{a^{- 2} + a^{- 1} + a^{0}}{a}$
37745	Divide	( sixth root of 4)÷( cube root of 3)	$\sqrt[6]{4} \div \sqrt[3]{3}$
37746	Simplify	( cube root of 80z)( cube root of 15z^8)	$(\sqrt[3]{80 z}) (\sqrt[3]{15 z^{8}})$
37747	Divide	(-1 1/3)÷2 2/5	$- 1 \frac{1}{3} \div 2 \frac{2}{5}$
37748	Solve for m	8(3m-2)-7m=0	$8 (3 m - 2) - 7 m = 0$
37749	Evaluate the Limit	limit as r approaches -3/2 of ( square root of 31-12r^2)/(16r^3+10)	$lim_{r \to - \frac{3}{2}} \frac{\sqrt{31 - 12 r^{2}}}{16 r^{3} + 10}$
37750	Simplify the Radical Expression	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
37751	Solve for x	cube root of 18x^2-81x=x	$\sqrt[3]{18 x^{2} - 81 x} = x$
37752	Simplify	( cube root of 12j^3)( cube root of 3j^4)	$(\sqrt[3]{12 j^{3}}) (\sqrt[3]{3 j^{4}})$
37753	Solve for x	-1(2x+4)>=6	$- 1 (2 x + 4) \geq 6$
37754	Simplify	((x^2-16)/(81-x^2)*(2x)/(x^2+10x+24))÷((x-4)/(x^2+15x+54))	$\frac{x^{2} - 16}{81 - x^{2}} \cdot \frac{2 x}{x^{2} + 10 x + 24} \div \frac{x - 4}{x^{2} + 15 x + 54}$
37755	Multiply	(x-5)/(x^4-2x^3)*(x^2-4)/(x^2-3x-10)	$\frac{x - 5}{x^{4} - 2 x^{3}} \cdot \frac{x^{2} - 4}{x^{2} - 3 x - 10}$
37756	Determine if True	cos(-theta)=cos(theta)	$\cos (- θ) = \cos (θ)$
37757	Solve for u	2/(u-5)=6/(3u-15)-4	$\frac{2}{u - 5} = \frac{6}{3 u - 15} - 4$
37758	Evaluate	2(2)^(1/2)	$2 {(2)}^{\frac{1}{2}}$
37759	Determine if True	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
37760	Find the Product	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
37761	Simplify the Radical Expression	square root of (c^-1)/(c^3)	$\sqrt{\frac{c^{- 1}}{c^{3}}}$
37762	Subtract	7/(3x)-2/5	$\frac{7}{3 x} - \frac{2}{5}$
37763	Solve for z	square root of 3z-2 = square root of z-4	$\sqrt{3 z - 2} = \sqrt{z - 4}$
37764	Find the Derivative - d/dg	gg	$g \cdot g$
37765	Solve for n	150=(180(n-2))/n	$150 = \frac{180 (n - 2)}{n}$
37766	Solve the Inequality for n	6n<90	$6 n < 90$
37767	Find the Derivative - d/dx	1.8sin(pi/12x-pi/2)^3+98.6	$1.8 \sin^{3} (\frac{π}{12} x - \frac{π}{2}) + 98.6$
37768	Find dy/dx	y = square root of x(3x-1)	$y = \sqrt{x} (3 x - 1)$
37769	Simplify	1/x*2x	$\frac{1}{x} \cdot 2 x$
37770	Divide Using Synthetic Division	3x^3-19x^2-12x-14 divided by x-7	$3 x^{3} - 19 x^{2} - 12 x - 14$ divided by $x - 7$
37771	Graph	y=4-5/2 square root of x-1	$y = 4 - \frac{5}{2} \sqrt{x - 1}$
37772	Solve for x	4 cube root of x-7+1=9	$4 \sqrt[3]{x - 7 + 1} = 9$
37773	Evaluate	log of 10^e	$\log (10^{e})$
37774	Find Where Increasing/Decreasing	f(x)=-2x^4-2/3x^3+1/2x^2+1	$f (x) = - 2 x^{4} - \frac{2}{3} x^{3} + \frac{1}{2} x^{2} + 1$
37775	Factor	f(x)=6x^2+x-2	$f (x) = 6 x^{2} + x - 2$
37776	Add	-8r^2+11r-6-7r^2-9r+14	$- 8 r^{2} + 11 r - 6 - 7 r^{2} - 9 r + 14$
37777	Find the Cotangent of the Angle	(5pi)/6	$\frac{5 π}{6}$
37778	Find the LCM	6 and 14	$6$ and $14$
37779	Simplify the Radical Expression	(xy^2)^(1/3)	${(x y^{2})}^{\frac{1}{3}}$
37780	Solve the System of Equations	-2x-3y=48 and -x+2y=-11	$- 2 x - 3 y = 48$ and $- x + 2 y = - 11$
37781	Graph	y<3x+2 , 2y>=6x-4	$y < 3 x + 2$ , $2 y \geq 6 x - 4$
37782	Integrate Using u-Substitution	integral from 1 to 2 of 2x^2 square root of x^3+1 with respect to x	$\int_{1}^{2} 2 x^{2} \sqrt{x^{3} + 1} d x$
37783	Write as a Single Logarithm	log base 3 of 12+ log base 3 of 4.5- log base 3 of 6	$\log_{3} (12) + \log_{3} (4.5) - \log_{3} (6)$
37784	Find the Roots (Zeros)	(x^2+1)^2	${(x^{2} + 1)}^{2}$
37785	Add	1/x+(5x)/(x+8)	$\frac{1}{x} + \frac{5 x}{x + 8}$
37786	Simplify	( square root of 9+ square root of 4)/( square root of -9+ square root of -4)	$\frac{\sqrt{9} + \sqrt{4}}{\sqrt{- 9} + \sqrt{- 4}}$
37787	Simplify	(-4-5i)^2(2x)	${(- 4 - 5 i)}^{2} (2 x)$
37788	Simplify	((4x)/5)÷(6/(5x^3))	$\frac{4 x}{5} \div \frac{6}{5 x^{3}}$
37789	Evaluate	((7^4)/(7^2))^-1	${(\frac{7^{4}}{7^{2}})}^{- 1}$
37790	Simplify	3a^0(74)	$3 a^{0} (74)$
37791	Solve the Inequality for x	33+4x<=-(x+7)	$33 + 4 x \leq - (x + 7)$
37792	Find the Antiderivative	e^(2x-1)y^-2	$e^{2 x - 1} y^{- 2}$
37793	Add	-9/2+2	$- \frac{9}{2} + 2$
37794	Multiply	7v^310u^3v^58uv^3	$7 v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3}$
37795	Find the Roots (Zeros)	x^7+128=0	$x^{7} + 128 = 0$
37796	Simplify	((7x+21)/(x^2+5x+6))÷((x+6)/(x+2))	$\frac{7 x + 21}{x^{2} + 5 x + 6} \div \frac{x + 6}{x + 2}$
37797	Simplify	square root of cube root of fourth root of x	$\sqrt{\sqrt[3]{\sqrt[4]{x}}}$
37798	Solve for w	27=w^3	$27 = w^{3}$
37799	Simplify	(x^(-1/2))/(-1/2)	$\frac{x^{- \frac{1}{2}}}{- \frac{1}{2}}$
37800	Solve the Function Operation	Let f(x)=x^2-13x+28 and find f(6)	Let $f (x) = x^{2} - 13 x + 28$ and find $f (6)$