Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
29201	Solve for x	9/(2x)-5/6=-13/(6x)	$\frac{9}{2 x} - \frac{5}{6} = - \frac{13}{6 x}$
29202	Solve for r	square root of r=5	$\sqrt{r} = 5$
29203	Simplify	(b^-1b^-1)/(b^2b)	$\frac{b^{- 1} \cdot b^{- 1}}{b^{2} \cdot b}$
29204	Solve for x	-2\|x+3\|<-8	$- 2 \| x + 3 \| < - 8$
29205	Graph	6-2(x-4)<5(1-x)	$6 - 2 (x - 4) < 5 (1 - x)$
29206	Evaluate the Integral	integral of x(x^2-2)*15 with respect to x	$\int x (x^{2} - 2) \cdot 15 d x$
29207	Evaluate	natural log of (e)^2	$\ln ({(e)}^{2})$
29208	Evaluate	(x^3x^-4yy)/1	$\frac{x^{3} x^{- 4} y \cdot y}{1}$
29209	Find the Quotient	(x^2+6x+9)/(3x)	$\frac{x^{2} + 6 x + 9}{3 x}$
29210	Simplify	4 fourth root of 64	$4 \sqrt[4]{64}$
29211	Solve the Inequality for t	t+6>-4	$t + 6 > - 4$
29212	Simplify	sin(theta)-tan(theta)cos(theta)+cos(pi/2-theta)	$\sin (θ) - \tan (θ) \cos (θ) + \cos (\frac{π}{2} - θ)$
29213	Simplify the Radical Expression	(6 cube root of 16-10 cube root of 32)÷2 cube root of 2	$(6 \sqrt[3]{16} - 10 \sqrt[3]{32}) \div 2 \sqrt[3]{2}$
29214	Combine Like Terms	-3/4x-1/3+7/8x-1/2	$- \frac{3}{4} x - \frac{1}{3} + \frac{7}{8} x - \frac{1}{2}$
29215	Evaluate the Limit	limit as x approaches 5 of (x-4)(x^2+8)	$lim_{x \to 5} (x - 4) (x^{2} + 8)$
29216	Simplify	(-(7a^2b^3c^0)/(3a^3b^4c^3))^-4	${(- \frac{7 a^{2} b^{3} c^{0}}{3 a^{3} b^{4} c^{3}})}^{- 4}$
29217	Solve for p	\|10p-4\|<34	$\| 10 p - 4 \| < 34$
29218	Solve for y	3^(6y)>5^(y+2)	$3^{6 y} > 5^{y + 2}$
29219	Rationalize the Denominator	( cube root of 12ab^3c^2)/( cube root of 10a^3bc)	$\frac{\sqrt[3]{12 a b^{3} c^{2}}}{\sqrt[3]{10 a^{3} b c}}$
29220	Simplify	cube root of x/(y^2)	$\sqrt[3]{\frac{x}{y^{2}}}$
29221	Solve the Inequality for x	2(x+6)<=2x+12	$2 (x + 6) \leq 2 x + 12$
29222	Simplify	(2x)/(x^2-5x-50)(x^2-25)/(x+10)(600x-6x^3)/(5-x)	$\frac{2 x}{x^{2} - 5 x - 50} \cdot \frac{x^{2} - 25}{x + 10} \cdot \frac{600 x - 6 x^{3}}{5 - x}$
29223	Write in Standard Form	(6x^3+3x^2+3)+(2x^3-5x+1)	$(6 x^{3} + 3 x^{2} + 3) + (2 x^{3} - 5 x + 1)$
29224	Solve for θ in Degrees	25csc(theta)^2-4=0	$25 \csc^{2} (θ) - 4 = 0$
29225	Factor	-20a-8+12b	$- 20 a - 8 + 12 b$
29226	Simplify the Radical Expression	3/4 square root of 3/2	$\frac{3}{4} \sqrt{\frac{3}{2}}$
29227	Simplify	-5 square root of 2m^6*2 square root of 32m^2	$- 5 \sqrt{2 m^{6}} \cdot 2 \sqrt{32 m^{2}}$
29228	Simplify	((3x^3y^0)/(x^-2))^4	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4}$
29229	Evaluate	2/5ab^2-16a+3/4ab^2-6/5a^2b+12a-3/5a^2b	$\frac{2}{5} a b^{2} - 16 a + \frac{3}{4} a b^{2} - \frac{6}{5} a^{2} b + 12 a - \frac{3}{5} a^{2} b$
29230	Simplify	((9a^3b^7)^4)^0	${({(9 a^{3} b^{7})}^{4})}^{0}$
29231	Simplify	-4c^37d^22c^-2	$- 4 c^{3} \cdot 7 d^{2} \cdot 2 c^{- 2}$
29232	Evaluate the Integral	integral from 1 to 4 of 1/(x square root of 16x^2-5) with respect to x	$\int_{1}^{4} \frac{1}{x \sqrt{16 x^{2} - 5}} d x$
29233	Simplify	(4 square root of a)( cube root of a^2)	$(4 \sqrt{a}) (\sqrt[3]{a^{2}})$
29234	Solve for x	x+1 4/5=(4+5x)/5	$x + 1 \frac{4}{5} = \frac{4 + 5 x}{5}$
29235	Find the Derivative - d/dx	ae^(-ax)	$a e^{- a x}$
29236	Find the Exact Value	pi*10^2	$π \cdot 10^{2}$
29237	Write in Standard Form	y=2(x^2-2)^2	$y = 2 {(x^{2} - 2)}^{2}$
29238	Evaluate the Integral	integral of (2x^13)/(x^14) with respect to x	$\int \frac{2 x^{13}}{x^{14}} d x$
29239	Convert from Radians to Degrees	5pirad	$5 π$ rad
29240	Find the Product	50+10*0+7+2	$50 + 10 \cdot 0 + 7 + 2$
29241	Evaluate	(10x/6)(10x/8)=10^10	$(10 \frac{x}{6}) (10 \frac{x}{8}) = 10^{10}$
29242	Evaluate the Limit	limit as x approaches 4 of (1-4/x)/(4-x)	$lim_{x \to 4} \frac{1 - \frac{4}{x}}{4 - x}$
29243	Graph	(2x)/3+1/2>x-5	$\frac{2 x}{3} + \frac{1}{2} > x - 5$
29244	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-10x^3+13x^2-23x+12 is divided by x-4	Use synthetic division to find the result when $2 x^{4} - 10 x^{3} + 13 x^{2} - 23 x + 12$ is divided by $x - 4$
29245	Evaluate	-10 cube root of 2(-4)	$- 10 \sqrt[3]{2 (- 4)}$
29246	Solve for d	d=( cube root of 70)^3	$d = {(\sqrt[3]{70})}^{3}$
29247	Find the Quotient	(-10x^2+4x^3+3)÷(x^2-2x+1)	$(- 10 x^{2} + 4 x^{3} + 3) \div (x^{2} - 2 x + 1)$
29248	Find the General Form of the Line	y+5=-2(x-4)	$y + 5 = - 2 (x - 4)$
29249	Solve for x	(5x-4)/2=0	$\frac{5 x - 4}{2} = 0$
29250	Simplify	(7^36)/(9^24)	$\frac{7^{36}}{9^{24}}$
29251	Simplify the Radical Expression	(3- square root of 7)/(3- square root of 5)	$\frac{3 - \sqrt{7}}{3 - \sqrt{5}}$
29252	Solve the Inequality for x	5x^2+22x<=6x-3	$5 x^{2} + 22 x \leq 6 x - 3$
29253	Graph	slope 2/3	slope $\frac{2}{3}$
29254	Find the Derivative - d/dx	y=4/3pix^3	$y = \frac{4}{3} π x^{3}$
29255	Find the Second Derivative	x- natural log of x	$x - \ln (x)$
29256	Solve the System of Equations	2x+y=0 5x+3y=2	$2 x + y = 0$ $5 x + 3 y = 2$
29257	Simplify	( square root of 8- square root of 12)/( square root of 2- square root of 12)	$\frac{\sqrt{8} - \sqrt{12}}{\sqrt{2} - \sqrt{12}}$
29258	Simplify	(6a-2b^2-a)+(b-3+9a^2)	$(6 a - 2 b^{2} - a) + (b - 3 + 9 a^{2})$
29259	Rationalize the Denominator	(5 square root of 56)/( square root of 21)	$\frac{5 \sqrt{56}}{\sqrt{21}}$
29260	Solve for x	natural log of x+1- natural log of x-2 = natural log of x^2	$\ln (x + 1) - \ln (x - 2) = \ln (x^{2})$
29261	Evaluate	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
29262	Write as a Single Logarithm	2 log of x+3 log of y- log of 4+3 log of w	$2 \log (x) + 3 \log (y) - \log (4) + 3 \log (w)$
29263	Simplify	square root of x^3+x^2	$\sqrt{x^{3} + x^{2}}$
29264	Simplify	2x^2(x^3-5)-x(x^4-3x)	$2 x^{2} (x^{3} - 5) - x (x^{4} - 3 x)$
29265	Solve for x	cos(x/2)=1/2	$\cos (\frac{x}{2}) = \frac{1}{2}$
29266	Find the Derivative - d/dx	y=7+5cos(0.503(x-6.75))	$y = 7 + 5 \cos (0.503 (x - 6.75))$
29267	Simplify	(5x^2y^-3)/(a^-3b^4)	$\frac{5 x^{2} y^{- 3}}{a^{- 3} b^{4}}$
29268	Find Where Increasing/Decreasing	f(x) = fourth root of 3x^2+1	$f (x) = \sqrt[4]{3 x^{2} + 1}$
29269	Add	2(x+14)+(2x-14)	$2 (x + 14) + (2 x - 14)$
29270	Simplify	((4^-2)/(4^-7))^(-1/5)	${(\frac{4^{- 2}}{4^{- 7}})}^{- \frac{1}{5}}$
29271	Graph	y=2-1/2 square root of x	$y = 2 - \frac{1}{2} \sqrt{x}$
29272	Simplify	5/(x^2+x-6)-2/(x-2)	$\frac{5}{x^{2} + x - 6} - \frac{2}{x - 2}$
29273	Solve the System of Inequalities	y<-6x-24 y<6x+6	$y < - 6 x - 24$ $y < 6 x + 6$
29274	Simplify	(125^(2/9)*125^(1/9))/(5^(1/4))	$\frac{125^{\frac{2}{9}} \cdot 125^{\frac{1}{9}}}{5^{\frac{1}{4}}}$
29275	Multiply	pi/2*1/4	$\frac{π}{2} \cdot \frac{1}{4}$
29276	Evaluate the Integral	integral of ( square root of x-x^-3)/(x^2) with respect to x	$\int \frac{\sqrt{x} - x^{- 3}}{x^{2}} d x$
29277	Find the Integral	1/(2x-4y^2)	$\frac{1}{2 x - 4 y^{2}}$
29278	Solve the System of Inequalities	x<3 and x>-1	$x < 3$ and $x > - 1$
29279	Simplify	p^2q^2+pq-q^3-p^3	$p^{2} q^{2} + p q - q^{3} - p^{3}$
29280	Find the Complex Conjugate	6+ square root of -16	$6 + \sqrt{- 16}$
29281	Graph	1/2e^x	$\frac{1}{2} e^{x}$
29282	Solve for r	r = square root of 18+7r	$r = \sqrt{18 + 7 r}$
29283	Solve the System of Equations	y=-x-4 y=x	$y = - x - 4$ $y = x$
29284	Solve Using the Quadratic Formula	49=x^2	$49 = x^{2}$
29285	Divide Using Long Polynomial Division	(12x^4+23x^3-9x^2+15x+4)÷(3x-1)	$(12 x^{4} + 23 x^{3} - 9 x^{2} + 15 x + 4) \div (3 x - 1)$
29286	Graph	y=1/6(x-3)+2	$y = \frac{1}{6} (x - 3) + 2$
29287	Divide	( cube root of 32x^5y^7)/( cube root of 4x^2y^4)	$\frac{\sqrt[3]{32 x^{5} y^{7}}}{\sqrt[3]{4 x^{2} y^{4}}}$
29288	Simplify	((-7x)^2y^-3z^4)/(xy^2z^3)	$\frac{{(- 7 x)}^{2} y^{- 3} z^{4}}{x y^{2} z^{3}}$
29289	Solve for w	w=1/w-(2w^2-10w+8)/w	$w = \frac{1}{w} - \frac{2 w^{2} - 10 w + 8}{w}$
29290	Simplify	(csc(x)^2)/(sec(x)^2)	$\frac{\csc^{2} (x)}{\sec^{2} (x)}$
29291	Simplify	(7+a)-(-7a+1)	$(7 + a) - (- 7 a + 1)$
29292	Simplify	(4a^2b^(1/2)c^4)^(1/2)	${(4 a^{2} b^{\frac{1}{2}} c^{4})}^{\frac{1}{2}}$
29293	Evaluate	(4(4)^2+3(4)-1)/(3(4)^2+2(4)+4)	$\frac{4 {(4)}^{2} + 3 (4) - 1}{3 {(4)}^{2} + 2 (4) + 4}$
29294	Simplify	(a^3b^2-a^2b+2b)(-ab)^-1	$(a^{3} b^{2} - a^{2} b + 2 b) {(- a b)}^{- 1}$
29295	Solve for x	y=5(x^3+4)	$y = 5 (x^{3} + 4)$
29296	Find the Slope	(-9,-8) and (-15,-16)	$(- 9, - 8)$ and $(- 15, - 16)$
29297	Simplify	(2a-3b)(3b+2a)	$(2 a - 3 b) (3 b + 2 a)$
29298	Convert from Radians to Degrees	8rad	$8$ rad
29299	Solve for x	3/5+7/(6x)=1/(8x)	$\frac{3}{5} + \frac{7}{6 x} = \frac{1}{8 x}$
29300	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 2, - 5)$ and has a slope of $- 1$ ?