Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43901	Find dy/dx	y=1/( fourth root of 9x^2-5)	$y = \frac{1}{\sqrt[4]{9 x^{2} - 5}}$
43902	Divide	(1.0910^12)/(2.1810^10)	$\frac{1.09 \cdot 10^{12}}{2.18 \cdot 10^{10}}$
43903	Find the Product	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
43904	Simplify	(x^2+10x+24)/(x^2+5x+4)(x^3-64x)/(x^3-64x)(x+1)/(x^3+14x^2+48x)	$\frac{x^{2} + 10 x + 24}{x^{2} + 5 x + 4} \cdot \frac{x^{3} - 64 x}{x^{3} - 64 x} \cdot \frac{x + 1}{x^{3} + 14 x^{2} + 48 x}$
43905	Solve for x	x^4-4x^2+2=0	$x^{4} - 4 x^{2} + 2 = 0$
43906	Simplify	3 fourth root of 16y+5 fourth root of y-2 fourth root of 81y	$3 \sqrt[4]{16 y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$
43907	Solve for n	-8(2+7n)=-6n+34	$- 8 (2 + 7 n) = - 6 n + 34$
43908	Solve the Rational Equation for x	-2 square root of 6x+3=-18	$- 2 \sqrt{6 x + 3} = - 18$
43909	Simplify	( cube root of x^6)/( fifth root of x^6)	$\frac{\sqrt[3]{x^{6}}}{\sqrt[5]{x^{6}}}$
43910	Evaluate	4pi*90/360	$4 π \cdot \frac{90}{360}$
43911	Solve for x	4^x-11=3.2x+13	$4^{x} - 11 = 3.2 x + 13$
43912	Graph	31>2x+7>27	$31 > 2 x + 7 > 27$
43913	Solve the Inequality for s	2>=s-2	$2 \geq s - 2$
43914	Solve Using the Quadratic Formula	What is the solution to the equation 3x^2-6x+4=0 ?	What is the solution to the equation $3 x^{2} - 6 x + 4 = 0$ ?
43915	Factor	5a^2c-3a^2d+5b^2c-3b^2d	$5 a^{2} c - 3 a^{2} d + 5 b^{2} c - 3 b^{2} d$
43916	Factor	8b^2m^2+24b^2mn+18b^2n^2	$8 b^{2} m^{2} + 24 b^{2} m n + 18 b^{2} n^{2}$
43917	Find dy/dx	square root of x^3+y^3=2y	$\sqrt{x^{3} + y^{3}} = 2 y$
43918	Solve the System of Inequalities	5x+2>=27 and 4x-3<=17	$5 x + 2 \geq 27$ and $4 x - 3 \leq 17$
43919	Simplify	(m^(2/3)n)/(m^2n^(1/2))	$\frac{m^{\frac{2}{3}} n}{m^{2} n^{\frac{1}{2}}}$
43920	Evaluate the Integral	integral of (2^t+e^pi) with respect to t	$\int (2^{t} + e^{π}) d t$
43921	Graph	x+y^2=4y-1	$x + y^{2} = 4 y - 1$
43922	Simplify	((10x)/(25x^3y^2))÷((32x^7y^4)/(20x^9y^9))	$\frac{10 x}{25 x^{3} y^{2}} \div \frac{32 x^{7} y^{4}}{20 x^{9} y^{9}}$
43923	Find the Complex Conjugate	-7/5+8/5i	$- \frac{7}{5} + \frac{8}{5} i$
43924	Evaluate	(5^2(5^7))÷(5^5)	$5^{2} (5^{7}) \div 5^{5}$
43925	Find g(f(x))	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
43926	Solve the System of Inequalities	-3b+5>8 or b-4>=0	$- 3 b + 5 > 8$ or $b - 4 \geq 0$
43927	Evaluate	T=2pi square root of l/g	$T = 2 π \sqrt{\frac{l}{g}}$
43928	Simplify	(2x^4y^2yx^-3)/((2x^2y^2yx^-1)^-3)	$\frac{2 x^{4} y^{2} \cdot y x^{- 3}}{{(2 x^{2} y^{2} \cdot y x^{- 1})}^{- 3}}$
43929	Simplify	1/(i^-10)	$\frac{1}{i^{- 10}}$
43930	Find Where Increasing/Decreasing	f(x)=- square root of x	$f (x) = - \sqrt{x}$
43931	Find the Area Between the Curves	x=2y^2 , x=0 ; and y=3	$x = 2 y^{2}$ , $x = 0$ ; and $y = 3$
43932	Graph	y=x^2a	$y = x^{2} a$
43933	Find the Antiderivative	x cube root of x^2+1	$x \sqrt[3]{x^{2} + 1}$
43934	Solve the System of Equations	x-y=-1 and -5x+3y=-15	$x - y = - 1$ and $- 5 x + 3 y = - 15$
43935	Find the Slope and y-intercept	y-3/5x=-1	$y - \frac{3}{5} x = - 1$
43936	Solve for x in Radians	cos(x)^2=3/4	$\cos^{2} (x) = \frac{3}{4}$
43937	Simplify	(-3+7xy)-(2+4xy)-(12x+14xy)	$(- 3 + 7 x y) - (2 + 4 x y) - (12 x + 14 x y)$
43938	Solve for θ in Degrees	16cos(theta)^2-25=0	$16 \cos^{2} (θ) - 25 = 0$
43939	Evaluate	( square root of -0.1+1-1)/-0.1	$\frac{\sqrt{- 0.1 + 1} - 1}{- 0.1}$
43940	Solve for x	5/3x=2x-2/3x+2	$\frac{5}{3} x = 2 x - \frac{2}{3} x + 2$
43941	Solve the Absolute Value Inequality for b	2\|10b+7\|-1>73	$2 \| 10 b + 7 \| - 1 > 73$
43942	Multiply	(2+(x-1))(2-(x-1))	$(2 + (x - 1)) (2 - (x - 1))$
43943	Convert to Interval Notation	a/-2<-1 or -4a+3>=23	$\frac{a}{- 2} < - 1$ or $- 4 a + 3 \geq 23$
43944	Solve the Function Operation	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
43945	Evaluate	7x-3y>10	$7 x - 3 y > 10$
43946	Find the Derivative - d/dx	d/(dx)((1+x^2)/((1-x^2)^(3/2)))	$\frac{d}{d x} (\frac{1 + x^{2}}{{(1 - x^{2})}^{\frac{3}{2}}})$
43947	Find the Antiderivative	f(x)=1/(2 cube root of x)-1/(x^2)	$f (x) = \frac{1}{2 \sqrt[3]{x}} - \frac{1}{x^{2}}$
43948	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+23x+10 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 23 x + 10$ is divided by $4 x + 5$
43949	Find the LCM	x+6 , 5x+7	$x + 6$ , $5 x + 7$
43950	Solve for x	(3x+2)/(x-1)+(2x-4)/(x+2)=5	$\frac{3 x + 2}{x - 1} + \frac{2 x - 4}{x + 2} = 5$
43951	Evaluate	-1/(3/2)	$- \frac{1}{\frac{3}{2}}$
43952	Solve for x	(x^2+4x+11)^(3/2)+1=0	${(x^{2} + 4 x + 11)}^{\frac{3}{2}} + 1 = 0$
43953	Find the Complex Conjugate	(5+3i)/(4-2i)	$\frac{5 + 3 i}{4 - 2 i}$
43954	Find the x and y Intercepts	x/4-y/3=1	$\frac{x}{4} - \frac{y}{3} = 1$
43955	Find the Derivative - d/dx	6 square root of 1/x+8x^4	$6 \sqrt{\frac{1}{x} + 8 x^{4}}$
43956	Solve for k	k+11=-3k-25+2k	$k + 11 = - 3 k - 25 + 2 k$
43957	Graph	f(x)=x^2(x+4)(3x-6)^2	$f (x) = x^{2} (x + 4) {(3 x - 6)}^{2}$
43958	Simplify	2xy^2(27y^-9)^(2/3)	$2 x y^{2} {(27 y^{- 9})}^{\frac{2}{3}}$
43959	Simplify	7/16 square root of 64/7	$\frac{7}{16} \sqrt{\frac{64}{7}}$
43960	Expand Using the Binomial Theorem	(1/(x^3)-2x)^16	${(\frac{1}{x^{3}} - 2 x)}^{16}$
43961	Find dy/dx	y = natural log of sec(x)	$y = \ln (\sec (x))$
43962	Graph	y>-1/x	$y > - \frac{1}{x}$
43963	Solve the Rational Equation for x	(5^(x/3))(5^(x/4))=5^5	$(5^{\frac{x}{3}}) (5^{\frac{x}{4}}) = 5^{5}$
43964	Solve for C	2/3(B+C)=A	$\frac{2}{3} (B + C) = A$
43965	Simplify	2/3(27x-45)-(4x-9)	$\frac{2}{3} (27 x - 45) - (4 x - 9)$
43966	Graph	y=-6x-2 y+2=-6x	$y = - 6 x - 2$ $y + 2 = - 6 x$
43967	Find the x and y Intercepts	(2x-8)^(2/3)	${(2 x - 8)}^{\frac{2}{3}}$
43968	Convert to Rectangular	x=1/2cos(theta) and y=1/3sin(theta)	$x = \frac{1}{2} \cos (θ)$ and $y = \frac{1}{3} \sin (θ)$
43969	Write in Standard Form	x+y-2=0	$x + y - 2 = 0$
43970	Solve the Inequality for x	(x-2)/(x-1)>=0	$\frac{x - 2}{x - 1} \geq 0$
43971	Find the Next Term	7/2 , 9/4 , 1 , -1/4 , -3/2	$\frac{7}{2}$ , $\frac{9}{4}$ , $1$ , $- \frac{1}{4}$ , $- \frac{3}{2}$
43972	Find the Derivative - d/dx	11x^5-3x^2+9x-pi	$11 x^{5} - 3 x^{2} + 9 x - π$
43973	Simplify	(6^(1/2))^6	${(6^{\frac{1}{2}})}^{6}$
43974	Graph Using a Table of Values	y=-2(1/4)^(x-3)	$y = - 2 {(\frac{1}{4})}^{x - 3}$
43975	Find the LCM	21 and 7	$21$ and $7$
43976	Simplify	3/((3a)^-3)	$\frac{3}{{(3 a)}^{- 3}}$
43977	Describe the Transformation	y=(x+2)^2+3	$y = {(x + 2)}^{2} + 3$
43978	Evaluate Using the Given Value	Evaluate 9/m+4 when m=3	Evaluate $\frac{9}{m} + 4$ when $m = 3$
43979	Evaluate	e^x=3/4	$e^{x} = \frac{3}{4}$
43980	Simplify	(3xy)(xy)	$(3 x y) (x y)$
43981	Graph	f(x)=3+0.5x if 0<=x<=10; -12+2x if x>10	$f (x) = {\begin{cases} 3 + 0.5 x & 0 \leq x \leq 10 \\ - 12 + 2 x & x > 10 \end{cases}$
43982	Integrate Using u-Substitution	integral of cos(x)^5 with respect to x	$\int \cos^{5} (x) d x$
43983	Simplify	k(k^4)	$k (k^{4})$
43984	Find the Antiderivative	e^x+x^2	$e^{x} + x^{2}$
43985	Graph	sin(theta)<0 , sec(theta)<0	$\sin (θ) < 0$ , $\sec (θ) < 0$
43986	Evaluate	83% of 408	$83 %$ of $408$
43987	Solve for θ	sin(theta)^2=1	$\sin^{2} (θ) = 1$
43988	Find the Quotient	x^5-1024 is divided by x-4	$x^{5} - 1024$ is divided by $x - 4$
43989	Find the Derivative of the Integral	integral from pi/6 to pi/3 of sec(x)tg(x) square root of sec(x)+1 with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{3}} \sec (x) t g (x) \sqrt{\sec (x) + 1} d x$
43990	Rationalize the Denominator	2/(- square root of 2)	$\frac{2}{- \sqrt{2}}$
43991	Simplify	2/(x+3)+(x+3)/(8x-1)	$\frac{2}{x + 3} + \frac{x + 3}{8 x - 1}$
43992	Simplify	((yx^-3*2x^0y^3)/(2xy^3))^2	${(\frac{y x^{- 3} \cdot 2 x^{0} y^{3}}{2 x y^{3}})}^{2}$
43993	Find the Exact Value	tan(810 degrees )	$\tan (810 °)$
43994	Solve for m	-17+ square root of m+7=-13	$- 17 + \sqrt{m + 7} = - 13$
43995	Graph	3x-6<=24 or 30<=3x-6	$3 x - 6 \leq 24$ or $30 \leq 3 x - 6$
43996	Subtract	(22w+11)/(8w^2-6w)-3/(2w)	$\frac{22 w + 11}{8 w^{2} - 6 w} - \frac{3}{2 w}$
43997	Write in Standard Form	y=(-3x)^2-3(x-3)^2	$y = {(- 3 x)}^{2} - 3 {(x - 3)}^{2}$
43998	Simplify	((x+2)^-9)/((x+2)^-5)	$\frac{{(x + 2)}^{- 9}}{{(x + 2)}^{- 5}}$
43999	Simplify	fifth root of (8x^3)/(y^4) fifth root of (4x^4)/(y^2)	$\sqrt[5]{\frac{8 x^{3}}{y^{4}}} \sqrt[5]{\frac{4 x^{4}}{y^{2}}}$
44000	Divide	(3/4)÷7 1/2	$\frac{3}{4} \div 7 \frac{1}{2}$