Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21201	Simplify	4/9z-3/9z+5-5/9z-8	$\frac{4}{9} z - \frac{3}{9} z + 5 - \frac{5}{9} z - 8$
21202	Simplify	(a^2b)/(ba^2)	$\frac{a^{2} b}{b a^{2}}$
21203	Evaluate the Limit	limit as x approaches negative infinity of (5x+5)/(7x^2+1)	$lim_{x \to - \infty} \frac{5 x + 5}{7 x^{2} + 1}$
21204	Find the Inverse	f(x)=(3x+2)^(1/2)	$f (x) = {(3 x + 2)}^{\frac{1}{2}}$
21205	Find dy/dx	-x^2-y^2+3y=-5	$- x^{2} - y^{2} + 3 y = - 5$
21206	Simplify	(2x^3)/5*8/(3x^2)	$\frac{2 x^{3}}{5} \cdot \frac{8}{3 x^{2}}$
21207	Solve for a	(1/3)^(-9x)=a^x	${(\frac{1}{3})}^{- 9 x} = a^{x}$
21208	Simplify	(x^2+2xy+y^2)(x+y)	$(x^{2} + 2 x y + y^{2}) (x + y)$
21209	Find Where Increasing/Decreasing	f(x)=1/8(1/4)^(x-2)	$f (x) = \frac{1}{8} {(\frac{1}{4})}^{x - 2}$
21210	Evaluate the Limit	limit as x approaches 1 of ( square root of x- square root of 2x-1)/(x-1)	$lim_{x \to 1} \frac{\sqrt{x} - \sqrt{2 x - 1}}{x - 1}$
21211	Solve for d	3d^2+8d=40	$3 d^{2} + 8 d = 40$
21212	Evaluate	(5^2-(7) square root of 16)/( square root of 5^2+11)	$\frac{5^{2} - (7) \sqrt{16}}{\sqrt{5^{2} + 11}}$
21213	Simplify	3x^2-3(x-4)(x+4)	$3 x^{2} - 3 (x - 4) (x + 4)$
21214	Convert to Radical Form	ab2/3	$a b \frac{2}{3}$
21215	Graph	y cube root of x	$y \sqrt[3]{x}$
21216	Find dy/dx	x^3-y=4xy	$x^{3} - y = 4 x y$
21217	Graph	y<-2x+1 y<=-2/3x+2	$y < - 2 x + 1$ $y \leq - \frac{2}{3} x + 2$
21218	Find Where Increasing/Decreasing	g(x)=- cube root of x-2	$g (x) = - \sqrt[3]{x - 2}$
21219	Solve for x	1/2sec(x)-1=0	$\frac{1}{2} \sec (x) - 1 = 0$
21220	Solve the Inequality for d	3(2d-1)>=4(2d-3)-3	$3 (2 d - 1) \geq 4 (2 d - 3) - 3$
21221	Simplify	((24x-6x^3)/(3x-x^2)*(x^2+2x-3)/(x^2+9x-10))÷((x^2+5x+6)/(x^2+7x-30))	$\frac{24 x - 6 x^{3}}{3 x - x^{2}} \cdot \frac{x^{2} + 2 x - 3}{x^{2} + 9 x - 10} \div \frac{x^{2} + 5 x + 6}{x^{2} + 7 x - 30}$
21222	Graph	7.2>0.9(n+8.6)	$7.2 > 0.9 (n + 8.6)$
21223	Solve for x	x/8+3/4=-1/2	$\frac{x}{8} + \frac{3}{4} = - \frac{1}{2}$
21224	Simplify	natural log of e^(x^2)	$\ln (e^{x^{2}})$
21225	Convert to Interval Notation	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
21226	Evaluate	80% of 50	$80 %$ of $50$
21227	Simplify	(10p^4+11)-(11p^4+13+16p^2)	$(10 p^{4} + 11) - (11 p^{4} + 13 + 16 p^{2})$
21228	Solve by Factoring	9=12x-4x^2	$9 = 12 x - 4 x^{2}$
21229	Simplify the Radical Expression	3/( fourth root of 4a^4)	$\frac{3}{\sqrt[4]{4 a^{4}}}$
21230	Solve for x	2/(x+6)+3/(x-6)=x/(x-6)	$\frac{2}{x + 6} + \frac{3}{x - 6} = \frac{x}{x - 6}$
21231	Simplify	(2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)	$(2 x^{2} + x + 1) - (x^{2} - x + 7) - (4 x^{2} + 2 x + 8)$
21232	Solve for x	4/(x-4)=4+x/(x-4)	$\frac{4}{x - 4} = 4 + \frac{x}{x - 4}$
21233	Graph	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
21234	Find the Vertex Form	y=2(x-3)(x+5)	$y = 2 (x - 3) (x + 5)$
21235	Solve the System of Equations	x-y=-1 2x-y=0	$x - y = - 1$ $2 x - y = 0$
21236	Find the Discriminant	-9r^2-8r-1=r-r^2-9	$- 9 r^{2} - 8 r - 1 = r - r^{2} - 9$
21237	Solve by Graphing	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
21238	Solve for x	4x^3=92	$4 x^{3} = 92$
21239	Find the Derivative - d/dx	square root of e*x	$\sqrt{e} \cdot x$
21240	Simplify	( square root of 8- square root of 10)/( square root of 10- square root of 2)	$\frac{\sqrt{8} - \sqrt{10}}{\sqrt{10} - \sqrt{2}}$
21241	Simplify	1/((2x)^(-5/2))	$\frac{1}{{(2 x)}^{- \frac{5}{2}}}$
21242	Solve for x	1-(x-3)/2=(2-x)/3+4	$1 - \frac{(x - 3)}{2} = \frac{(2 - x)}{3} + 4$
21243	Solve for x	2/x=4/(2x)	$\frac{2}{x} = \frac{4}{2 x}$
21244	Convert from Radians to Degrees	cos(( square root of 2)/2)	$\cos (\frac{\sqrt{2}}{2})$
21245	Simplify	(4/(2x+2))/(8/(3x+3))	$\frac{\frac{4}{2 x + 2}}{\frac{8}{3 x + 3}}$
21246	Integrate Using u-Substitution	integral of 5 square root of 5x-1 with respect to x	$\int 5 \sqrt{5 x - 1} d x$
21247	Solve the Inequality for y	3(2y-22)<-5y-33	$3 (2 y - 22) < - 5 y - 33$
21248	Simplify the Radical Expression	(-4i)^3*2i	${(- 4 i)}^{3} \cdot 2 i$
21249	Divide	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
21250	Verify the Identity	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
21251	Solve for x	6x-4x=2x-2	$6 x - 4 x = 2 x - 2$
21252	Solve the System of Equations	3x-2y+z=18 x-2y+z=-2 2x-2y-z=12	$3 x - 2 y + z = 18$ $x - 2 y + z = - 2$ $2 x - 2 y - z = 12$
21253	Graph	sin(theta)<0 , sec(theta)>0	$\sin (θ) < 0$ , $\sec (θ) > 0$
21254	Simplify	(7x^3-x+4x^2-9)-(6x^2-4x^3+11)	$(7 x^{3} - x + 4 x^{2} - 9) - (6 x^{2} - 4 x^{3} + 11)$
21255	Evaluate	(18c^3)/(-3c^2)	$\frac{18 c^{3}}{- 3 c^{2}}$
21256	Find the Antiderivative	(x^2+2x+3)/(x+1)	$\frac{x^{2} + 2 x + 3}{x + 1}$
21257	Solve the Function Operation	sin(theta)=5/13 , theta in Quadrant II	$\sin (θ) = \frac{5}{13}$ , $θ$ in Quadrant $I \cdot I$
21258	Graph	Y=F(X+7)	$Y = F (X + 7)$
21259	Evaluate the Integral	integral from 1/18 to 1/6 of csc(3pit)cot(3pit) with respect to t	$\int_{\frac{1}{18}}^{\frac{1}{6}} \csc (3 π t) \cot (3 π t) d t$
21260	Simplify	(3^3+4^0+2^2+5^4)^0	${(3^{3} + 4^{0} + 2^{2} + 5^{4})}^{0}$
21261	Evaluate	60% of 80	$60 %$ of $80$
21262	Simplify	square root of (250x^6y^6)/(2x^4y^4)	$\sqrt{\frac{250 x^{6} y^{6}}{2 x^{4} y^{4}}}$
21263	Evaluate the Integral	integral of (sin(x))/( square root of cos(x)) with respect to x	$\int \frac{\sin (x)}{\sqrt{\cos (x)}} d x$
21264	Find h(g(x))	h(x)=4x-1 g(x)=2x+2	$h (x) = 4 x - 1$ $g (x) = 2 x + 2$
21265	Simplify	(2x+1)(2x-1)(x-1)(4x-3)	$(2 x + 1) (2 x - 1) (x - 1) (4 x - 3)$
21266	Divide Using Synthetic Division	(3x^4-6x^3+x^2+5x)/(x-1)	$\frac{3 x^{4} - 6 x^{3} + x^{2} + 5 x}{x - 1}$
21267	Simplify	(x-2)(3x+4)(x+1)(x-3)	$(x - 2) (3 x + 4) (x + 1) (x - 3)$
21268	Find dy/dx	-5y^3=3+x+x^3	$- 5 y^{3} = 3 + x + x^{3}$
21269	Evaluate the Integral	integral from 4 to 6 of (x^2+2)/(x-2) with respect to x	$\int_{4}^{6} \frac{x^{2} + 2}{x - 2} d x$
21270	Write in Slope-Intercept Form	(-12,4) and (0,2)	$(- 12, 4)$ and $(0, 2)$
21271	Write the Fraction in Simplest Form	(20b^-8r^-9)/((5b^4r^-5)^-2)	$\frac{20 b^{- 8} r^{- 9}}{{(5 b^{4} r^{- 5})}^{- 2}}$
21272	Find the Roots (Zeros)	(3x^2+x-4)/(x-1)	$\frac{3 x^{2} + x - 4}{x - 1}$
21273	Find the Derivative - d/dx	(1/2)^(4x)	${(\frac{1}{2})}^{4 x}$
21274	Simplify	cos(15 degrees )^2-sin(15 degrees )^2	$\cos^{2} (15 °) - \sin^{2} (15 °)$
21275	Solve for v	-5=-5(-3-v)^(1/2)	$- 5 = - 5 {(- 3 - v)}^{\frac{1}{2}}$
21276	Simplify	(x^2)^4*yx^-3	${(x^{2})}^{4} \cdot y x^{- 3}$
21277	Solve Using the Quadratic Formula	4(6-4x)^2=49	$4 {(6 - 4 x)}^{2} = 49$
21278	Find the GCF	57x^5y^3 , 36x^2y , 33xy^2	$57 x^{5} y^{3}$ , $36 x^{2} y$ , $33 x y^{2}$
21279	Simplify	xx^2x^3*x^5	$x \cdot x^{2} \cdot x^{3} \cdot x^{5}$
21280	Solve for t	square root of t^2=0	$\sqrt{t^{2}} = 0$
21281	Simplify	-7p^9q^3r*-4p^2q^6r^4	$- 7 p^{9} q^{3} r \cdot - 4 p^{2} q^{6} r^{4}$
21282	Multiply	(4x+4)(3x+5)(x+5)	$(4 x + 4) (3 x + 5) (x + 5)$
21283	Find the Percentage Rate of Change	y=575(1-0.6)^t	$y = 575 {(1 - 0.6)}^{t}$
21284	Find Amplitude, Period, and Phase Shift	y=sin(3pix-(2pi)/3)	$y = \sin (3 π x - \frac{2 π}{3})$
21285	Find All Complex Solutions	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
21286	Solve the Inequality for x	3x^2+15x+36<=-9x	$3 x^{2} + 15 x + 36 \leq - 9 x$
21287	Evaluate	(36k^4m^10)^(1/2)	${(36 k^{4} m^{10})}^{\frac{1}{2}}$
21288	Graph	x^3-7x+6	$x^{3} - 7 x + 6$
21289	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,6) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 3, 6)$ and has a slope of $- 1$ ?
21290	Write the Fraction in Simplest Form	(3(p^4w^5)^-2)/(3p^7)	$\frac{3 {(p^{4} w^{5})}^{- 2}}{3 p^{7}}$
21291	Simplify	cube root of x^2* cube root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[3]{x}$
21292	Find the GCF	12 and 15	$12$ and $15$
21293	Find the GCF	90z^7 and 48z^5	$90 z^{7}$ and $48 z^{5}$
21294	Solve for w	21+2.5w=6+5.7w-3.2w+15	$21 + 2.5 w = 6 + 5.7 w - 3.2 w + 15$
21295	Graph	3x+y<=3 2x-y<4	$3 x + y \leq 3$ $2 x - y < 4$
21296	Simplify	(5-i^3)-(8+i^7)	$(5 - i^{3}) - (8 + i^{7})$
21297	Simplify	((34^3)/(3^-24^-7))^0	${(\frac{3 \cdot 4^{3}}{3^{- 2} \cdot 4^{- 7}})}^{0}$
21298	Solve the System of Inequalities	12x-39<=9 ; AND , -4x+3<-6	$12 x - 39 \leq 9$ ; AND , $- 4 x + 3 < - 6$
21299	Simplify	((x^2-9y^2)/(xy))/((2x+6y)/(x^2))	$\frac{\frac{x^{2} - 9 y^{2}}{x y}}{\frac{2 x + 6 y}{x^{2}}}$
21300	Simplify	simplify square root of 18	simplify $\sqrt{18}$