Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37801	Find the Antiderivative	(x+2)/(x+1)	$\frac{x + 2}{x + 1}$
37802	Find the Derivative - d/dx	2xe^x+x^2e^x	$2 x e^{x} + x^{2} e^{x}$
37803	Factor	16x^2=81	$16 x^{2} = 81$
37804	Solve for m	6(2m-3)-3m=2m-18+m	$6 (2 m - 3) - 3 m = 2 m - 18 + m$
37805	Multiply	(a+b)(3a-b)(2a+7b)	$(a + b) (3 a - b) (2 a + 7 b)$
37806	Simplify	(x-y)/(xy)-(x-z)/(xz)	$\frac{(x - y)}{x y} - \frac{(x - z)}{x z}$
37807	Solve for x	(cos(x)^2)/x-1/5=0	$\frac{\cos^{2} (x)}{x} - \frac{1}{5} = 0$
37808	Integrate By Parts	integral of 2x^2 natural log of x with respect to x	$\int 2 x^{2} \ln (x) d x$
37809	Divide Using Synthetic Division	3x^2-x-2 by x+4	$3 x^{2} - x - 2$ by $x + 4$
37810	Find the Parallel Line	through: (-1,4) ; parallel to y=-5x+2	through: $(- 1, 4)$ ; parallel to $y = - 5 x + 2$
37811	Find the Derivative - d/dx	y=4arcsin(x/2)	$y = 4 \arcsin (\frac{x}{2})$
37812	Find the LCM	12 and 20	$12$ and $20$
37813	Find the Cotangent Given the Point	(-2 square root of 3,2)	$(- 2 \sqrt{3}, 2)$
37814	Find the x and y Intercepts	v(w)=(60-4w)w^2	$v (w) = (60 - 4 w) w^{2}$
37815	Evaluate the Integral	integral of (x^4-1)/(x-1) with respect to x	$\int \frac{x^{4} - 1}{x - 1} d x$
37816	Solve for x	8^x*8^(-x-1)=1/64	$8^{x} \cdot 8^{- x - 1} = \frac{1}{64}$
37817	Find the Antiderivative	1/3x^3-5x	$\frac{1}{3} x^{3} - 5 x$
37818	Find Amplitude, Period, and Phase Shift	y=cos(-2x+pi)-1	$y = \cos (- 2 x + π) - 1$
37819	Evaluate	(2-x)^2+3	${(2 - x)}^{2} + 3$
37820	Simplify	3y^(-4/3)*2y^(1/3)	$3 y^{- \frac{4}{3}} \cdot 2 y^{\frac{1}{3}}$
37821	Solve for x	2=(6x^2-2x+5)/(3x^2-2)	$2 = \frac{6 x^{2} - 2 x + 5}{3 x^{2} - 2}$
37822	Find Where Increasing/Decreasing	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
37823	Simplify	square root of 2x^6y^5* square root of 2x^2y	$\sqrt{2 x^{6} y^{5}} \cdot \sqrt{2 x^{2} y}$
37824	Write the Fraction in Simplest Form	(12a^8)/((3a^-1)^-1)	$\frac{12 a^{8}}{{(3 a^{- 1})}^{- 1}}$
37825	Evaluate the Integral	integral from 2 to 3 of (4/(x^2)+1) with respect to x	$\int_{2}^{3} (\frac{4}{x^{2}} + 1) d x$
37826	Simplify	-(4u^8)/(3(u^-1)^4)	$- \frac{4 u^{8}}{3 {(u^{- 1})}^{4}}$
37827	Find the Determinant	[[4,3,9],[3,2,7],[1,4,x]]	$[\begin{array}{c} 4 & 3 & 9 \\ 3 & 2 & 7 \\ 1 & 4 & x \end{array}]$
37828	Simplify	(12/2)(x/(y^5))((y^4)/(x^4))	$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$
37829	Solve the Rational Equation for x	square root of 8x^2-72=5	$\sqrt{8 x^{2} - 72} = 5$
37830	Simplify	(3.5*10^3)^2	${(3.5 \cdot 10^{3})}^{2}$
37831	Find the Asymptotes	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
37832	Find the Factors Using the Factor Theorem	x^3+x^2-10x+8 , x-2	$x^{3} + x^{2} - 10 x + 8$ , $x - 2$
37833	Multiply	cube root of 50x^2z^5* cube root of 15y^3z	$\sqrt[3]{50 x^{2} z^{5}} \cdot \sqrt[3]{15 y^{3} z}$
37834	Find the Domain	((a^2+4a+4)/(16-b^4))÷((4-a^2)/(4+b^2))	$\frac{a^{2} + 4 a + 4}{16 - b^{4}} \div \frac{4 - a^{2}}{4 + b^{2}}$
37835	Solve for p	4+2/3(p+1)=3+3/4(p+2)	$4 + \frac{2}{3} (p + 1) = 3 + \frac{3}{4} (p + 2)$
37836	Find the End Behavior	f(x)=x(x+5)^2(x+3)	$f (x) = x {(x + 5)}^{2} (x + 3)$
37837	Evaluate	log base 2 of 56+2 log base 2 of 12- log base 2 of 63	$\log_{2} (56) + 2 \log_{2} (12) - \log_{2} (63)$
37838	Simplify	(i^2-16)/(i+4)	$\frac{i^{2} - 16}{i + 4}$
37839	Simplify	2x^2+6x-5 from 7x^2+3x+4	$2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
37840	Simplify	((x^2+4x+3)/(2x-1))/((x^2+x)/(2x^2-3x+1))	$\frac{\frac{x^{2} + 4 x + 3}{2 x - 1}}{\frac{x^{2} + x}{2 x^{2} - 3 x + 1}}$
37841	Solve in Terms of the Arbitrary Variable Sₙ	S_n=13116 , n=7 , r=3	$S_{n} = 13116$ , $n = 7$ , $r = 3$
37842	Solve for x	1/4(8x-4^2)=0	$\frac{1}{4} (8 x - 4^{2}) = 0$
37843	Convert from Radians to Degrees	2*180/pi	$2 \cdot \frac{180}{π}$
37844	Find the Degree	2x^3-5x^2+x=0	$2 x^{3} - 5 x^{2} + x = 0$
37845	Graph	y<=-2/3x+3 y<=3/2x	$y \leq - \frac{2}{3} x + 3$ $y \leq \frac{3}{2} x$
37846	Solve the Inequality for a	48>=6-7a	$48 \geq 6 - 7 a$
37847	Solve for θ	2sin(theta)+4=4	$2 \sin (θ) + 4 = 4$
37848	Solve for x	(x+5 1/2)*0.75=5/8	$(x + 5 \frac{1}{2}) \cdot 0.75 = \frac{5}{8}$
37849	Find Where Increasing/Decreasing	f(x)=(sin(x))e^(-x)	$f (x) = (\sin (x)) e^{- x}$
37850	Solve by Factoring	10x^2-25=x^2	$10 x^{2} - 25 = x^{2}$
37851	Solve the Inequality for a	5-3/a<7/a	$5 - \frac{3}{a} < \frac{7}{a}$
37852	Find the GCF	30w and 70w	$30 w$ and $70 w$
37853	Solve the System of Equations	x=3-3y x+3y=-6	$x = 3 - 3 y$ $x + 3 y = - 6$
37854	Divide	1/(-1/2)	$\frac{1}{\frac{- 1}{2}}$
37855	Find the Derivative - d/dx	(1-cos(x))/(1+cos(x))	$\frac{1 - \cos (x)}{1 + \cos (x)}$
37856	Solve the System of Equations	-r+t=5 -2r+t=4	$- r + t = 5$ $- 2 r + t = 4$
37857	Solve the Inequality for r	1+3r>10	$1 + 3 r > 10$
37858	Simplify	(3x square root of 2x)(4x square root of 3x^3)	$(3 x \sqrt{2 x}) (4 x \sqrt{3 x^{3}})$
37859	Find the Domain	f(x)=(2x- square root of x-4)/( square root of x+6-x)	$f (x) = \frac{2 x - \sqrt{x - 4}}{\sqrt{x + 6} - x}$
37860	Evaluate the Integral	integral of (2x^2+2+5x^3) with respect to x	$\int (2 x^{2} + 2 + 5 x^{3}) d x$
37861	Graph	F(x)=-x^5+x^2-x	$F (x) = - x^{5} + x^{2} - x$
37862	Solve for x	14x-12(4x+6)=3(x-4)-18	$14 x - 12 (4 x + 6) = 3 (x - 4) - 18$
37863	Solve for h	A=(b*h)/2	$A = \frac{b \times h}{2}$
37864	Factor by Grouping	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
37865	Find the LCD	(7x)/(6x+18) and -2/(x+3)	$\frac{7 x}{6 x + 18}$ and $\frac{- 2}{x + 3}$
37866	Solve the System of Equations	3x^2+y^2=129 2x^2+y^2=113	$3 x^{2} + y^{2} = 129$ $2 x^{2} + y^{2} = 113$
37867	Solve for x	5/3y-4/5x=1	$\frac{5}{3} y - \frac{4}{5} x = 1$
37868	Evaluate	sin(arccos(0))	$\sin (\arccos (0))$
37869	Find the Maximum/Minimum Value	f(t)=-0.3t^3+80t+425	$f (t) = - 0.3 t^{3} + 80 t + 425$
37870	Find the Antiderivative	1÷(x^2)	$1 \div x^{2}$
37871	Graph	y>=x 5 y<=x+3	$y \geq x$ $5$ $y \leq x + 3$
37872	Find the Maximum/Minimum Value	f(x)=8cos(x)+2	$f (x) = 8 \cos (x) + 2$
37873	Solve for c	-70=-6-2c^2	$- 70 = - 6 - 2 c^{2}$
37874	Integrate Using u-Substitution	integral of 15x^4(3x^5-9)^2 with respect to x	$\int 15 x^{4} {(3 x^{5} - 9)}^{2} d x$
37875	Evaluate	4(x-3)+5x-x^2	$4 (x - 3) + 5 x - x^{2}$
37876	Multiply	4/71/57/9	$\frac{4}{7} \cdot \frac{1}{5} \cdot \frac{7}{9}$
37877	Simplify	((8x^3)/9)÷(3/(2x^2))	$\frac{8 x^{3}}{9} \div \frac{3}{2 x^{2}}$
37878	Simplify	(x^2-2y)(x^4+2x^2y+4y^2)	$(x^{2} - 2 y) (x^{4} + 2 x^{2} y + 4 y^{2})$
37879	Simplify	6 square root of b-3 square root of a+8 square root of a-10 square root of b	$6 \sqrt{b} - 3 \sqrt{a} + 8 \sqrt{a} - 10 \sqrt{b}$
37880	Factor by Grouping	15xy+30x^2y^2	$15 x y + 30 x^{2} y^{2}$
37881	Find the Tangent Line at (1,2)	f(x)=2x^3 at (1,2)	$f (x) = 2 x^{3}$ at $(1, 2)$
37882	Solve the Inequality for b	-2+b<3	$- 2 + b < 3$
37883	Solve the System of Inequalities	7x-8>9(x-1) and 3x+2<5x+3	$7 x - 8 > 9 (x - 1)$ and $3 x + 2 < 5 x + 3$
37884	Evaluate	natural log of \|e^2\|	$\ln (\| e^{2} \|)$
37885	Simplify	(1/2g^2+7/2)+(3g^2-4/5g+1/4)	$(\frac{1}{2} g^{2} + \frac{7}{2}) + (3 g^{2} - \frac{4}{5} g + \frac{1}{4})$
37886	Describe the Transformation	y=2(x)^3-5	$y = 2 {(x)}^{3} - 5$
37887	Find the Remainder	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
37888	Integrate Using u-Substitution	integral from e to e^4 of 1/(x square root of natural log of x) with respect to x	$\int_{e}^{e^{4}} \frac{1}{x \sqrt{\ln (x)}} d x$
37889	Simplify	(8a^5-4)+(3a^5+a-2)	$(8 a^{5} - 4) + (3 a^{5} + a - 2)$
37890	Evaluate the Limit	limit as x approaches infinity of (x+6)/(4x-1)	$lim_{x \to \infty} \frac{x + 6}{4 x - 1}$
37891	Find the Slope and y-intercept	6x+-2y=18	$6 x + - 2 y = 18$
37892	Convert to a Simplified Fraction	45% as a fraction	$45 %$ as a fraction
37893	Simplify	2/3(4)^(3/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}}$
37894	Solve the Inequality for x	y>2x+1	$y > 2 x + 1$
37895	Convert from Radians to Degrees	sin(( square root of 3)/2)	$\sin (\frac{\sqrt{3}}{2})$
37896	Evaluate	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
37897	Evaluate the Limit	limit as x approaches 2 of (x^3-8)/(2x-4)	$lim_{x \to 2} \frac{x^{3} - 8}{2 x - 4}$
37898	Solve for t	7/3t-5=19	$\frac{7}{3} t - 5 = 19$
37899	Verify the Identity	x^3+y^3=(x+y)(x^2-xy+y^2)	$x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})$
37900	Factor by Grouping	8x^2+28xy	$8 x^{2} + 28 x y$