Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10201	Evaluate the Integral	integral from -1 to 5 of \|x^3-4x\| with respect to x	$\int_{- 1}^{5} \| x^{3} - 4 x \| d x$
10202	Simplify the Radical Expression	(9 square root of 6)(2 square root of -30)	$(9 \sqrt{6}) (2 \sqrt{- 30})$
10203	Solve for x	(2x+1)(x-1)=-16x-8	$(2 x + 1) (x - 1) = - 16 x - 8$
10204	Solve for x	5/(3-x)=1	$\frac{5}{3 - x} = 1$
10205	Solve the System of Inequalities	5n-1<-16 or -3n-1<8	$5 n - 1 < - 16$ or $- 3 n - 1 < 8$
10206	Multiply	square root of x+1* square root of x+1	$\sqrt{x + 1} \cdot \sqrt{x + 1}$
10207	Solve for x	(3x+4)^2=7(3x+4)	${(3 x + 4)}^{2} = 7 (3 x + 4)$
10208	Simplify	( square root of 2)÷(2+ square root of 3)	$\sqrt{2} \div (2 + \sqrt{3})$
10209	Find the GCF	r^6s^4 , -rs	$r^{6} s^{4}$ , $- r s$
10210	Solve the Inequality for f	f/2-22<48	$\frac{f}{2} - 22 < 48$
10211	Simplify	( square root of 560x^3)/( square root of 7x^2)	$\frac{\sqrt{560 x^{3}}}{\sqrt{7 x^{2}}}$
10212	Solve for x	-1/(x+4)=6-x/(x+4)	$\frac{- 1}{x + 4} = 6 - \frac{x}{x + 4}$
10213	Find the Domain	(y-1)/(y square root of y+1)	$\frac{(y - 1)}{y \sqrt{y + 1}}$
10214	Find the x and y Intercepts	y = log of 12x+7-3	$y = \log (12 x + 7) - 3$
10215	Find the Degree, Leading Term, and Leading Coefficient	f(x)=7x-8x^5-2+9x^2+2x^7	$f (x) = 7 x - 8 x^{5} - 2 + 9 x^{2} + 2 x^{7}$
10216	Convert to Interval Notation	5-4(2x-7)<-39	$5 - 4 (2 x - 7) < - 39$
10217	Simplify	((y+3)/(y+1))÷((y^2+4y+3)/(-5-5y))	$\frac{y + 3}{y + 1} \div \frac{y^{2} + 4 y + 3}{- 5 - 5 y}$
10218	Find the End Behavior	f(x)=-1792+496x^2-232x^3+864x+4x^5-12x^4	$f (x) = - 1792 + 496 x^{2} - 232 x^{3} + 864 x + 4 x^{5} - 12 x^{4}$
10219	Write in Standard Form	4x^2+y^2+10y+13=0	$4 x^{2} + y^{2} + 10 y + 13 = 0$
10220	Solve for x	0=cos(x)-sin(x)	$0 = \cos (x) - \sin (x)$
10221	Evaluate the Limit	limit as x approaches 2 of (x^5-32)/(x^4-16)	$lim_{x \to 2} \frac{x^{5} - 32}{x^{4} - 16}$
10222	Solve for x	2x-(11(x-4)+3)=77	$2 x - (11 (x - 4) + 3) = 77$
10223	Solve for x	x/(x-3)+(2x)/(x+3)=18/((x+3)(x-3))	$\frac{x}{x - 3} + \frac{2 x}{x + 3} = \frac{18}{(x + 3) (x - 3)}$
10224	Convert to Logarithmic Form	10^((2z)/3)=15	$10^{\frac{2 z}{3}} = 15$
10225	Simplify	Simplify (2x+4)+(4x+2)	Simplify $(2 x + 4) + (4 x + 2)$
10226	Find the Integral	2^xdx	$2^{x} d x$
10227	Find the Asymptotes	(2x^3+4x^2-9)/(-x^2+3)	$\frac{2 x^{3} + 4 x^{2} - 9}{- x^{2} + 3}$
10228	Solve for x	bx=c-(ac)/(a+b)	$b x = c - \frac{a c}{a + b}$
10229	Find the Antiderivative	sin(x/2)^2	$\sin^{2} (\frac{x}{2})$
10230	Solve the Inequality for m	9/(m-5)<3	$\frac{9}{m - 5} < 3$
10231	Solve for w	4^(3w+7)=16^11	$4^{3 w + 7} = 16^{11}$
10232	Write as a Single Logarithm	1/3* natural log of 64- natural log of 12	$\frac{1}{3} \cdot \ln (64) - \ln (12)$
10233	Add	4 square root of 7-10 square root of 7+7 square root of 7	$4 \sqrt{7} - 10 \sqrt{7} + 7 \sqrt{7}$
10234	Solve for x	square root of 3x+5 = square root of 6x+34	$\sqrt{3 x} + 5 = \sqrt{6 x + 34}$
10235	Solve for x	3+( cube root of 4-x)^2=12	$3 + {(\sqrt[3]{4 - x})}^{2} = 12$
10236	Simplify	cube root of 1/(k^-2*k)	$\sqrt[3]{\frac{1}{k^{- 2} \cdot k}}$
10237	Simplify	(21x^8y^3z)/(3x^5)	$\frac{21 x^{8} y^{3} z}{3 x^{5}}$
10238	Solve for x	x=17-4(x-2)	$x = 17 - 4 (x - 2)$
10239	Solve for x	1=3+ cube root of 4x-8	$1 = 3 + \sqrt[3]{4 x - 8}$
10240	Solve the System of Equations	-9x-3y=-18 3x+y=6	$- 9 x - 3 y = - 18$ $3 x + y = 6$
10241	Simplify the Radical Expression	cube root of (250f^7g^3)/(2f^2g)	$\sqrt[3]{\frac{250 f^{7} g^{3}}{2 f^{2} g}}$
10242	Simplify	(11h+8h^2)-(3h^2-9+9h)	$(11 h + 8 h^{2}) - (3 h^{2} - 9 + 9 h)$
10243	Simplify	(45x^11y^3)/((3x)^2*xy)	$\frac{45 x^{11} y^{3}}{{(3 x)}^{2} \cdot x y}$
10244	Simplify	8÷( square root of 8)	$8 \div \sqrt{8}$
10245	Evaluate the Integral	integral from -2 to 2 of cube root of 8x+(4x)/(x^3) with respect to x	$\int_{- 2}^{2} \sqrt[3]{8 x} + \frac{4 x}{x^{3}} d x$
10246	Divide	( square root of 2)/(3+ square root of 2)	$\frac{\sqrt{2}}{3 + \sqrt{2}}$
10247	Convert to Radical Form	(8/27)^(-2/3)	${(\frac{8}{27})}^{- \frac{2}{3}}$
10248	Convert to a Percentage	20 is what percent of 52	$20$ is what percent of $52$
10249	Solve for t	f(t)=212-6t	$f (t) = 212 - 6 t$
10250	Solve for x	x=(2x^2+x-7)/(2x+8)	$x = \frac{2 x^{2} + x - 7}{2 x + 8}$
10251	Evaluate	3(-2/3+4/9)	$3 (- \frac{2}{3} + \frac{4}{9})$
10252	Find All Complex Solutions	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
10253	Write the Fraction in Simplest Form	(12c)/((4c^3)^2)	$\frac{12 c}{{(4 c^{3})}^{2}}$
10254	Simplify	b/( square root of 4b^5)	$\frac{b}{\sqrt{4 b^{5}}}$
10255	Solve the System of Equations	x+y=90 , x=14+3y	$x + y = 90$ , $x = 14 + 3 y$
10256	Graph	7x+3=x+3	$7 x + 3 = x + 3$
10257	Factor	f(x)=x^4+x^3+x^2+x	$f (x) = x^{4} + x^{3} + x^{2} + x$
10258	Find the Discriminant	1/2x^2+x-1=0	$\frac{1}{2} x^{2} + x - 1 = 0$
10259	Solve by Graphing	y=x+4 x-y=1	$y = x + 4$ $x - y = 1$
10260	Simplify	(3 square root of 6)+(4 square root of 6)	$(3 \sqrt{6}) + (4 \sqrt{6})$
10261	Solve the Inequality for t	-t/5+7>-4	$- \frac{t}{5} + 7 > - 4$
10262	Graph	y=-3x+11 3y=5x-9	$y = - 3 x + 11$ $3 y = 5 x - 9$
10263	Simplify	y cube root of 750x^10y^7	$y \sqrt[3]{750 x^{10} y^{7}}$
10264	Find the Degree, Leading Term, and Leading Coefficient	-9+x	$- 9 + x$
10265	Find the Derivative - d/dx	-4x^(1/2)	$- 4 x^{\frac{1}{2}}$
10266	Evaluate the Integral	integral of (4/( square root of x)-( square root of x)/4) with respect to x	$\int (\frac{4}{\sqrt{x}} - \frac{\sqrt{x}}{4}) d x$
10267	Solve for x	x^2=-1x+42	$x^{2} = - 1 x + 42$
10268	Simplify the Radical Expression	6/( square root of 12)	$\frac{6}{\sqrt{12}}$
10269	Simplify	5-3+7-(-9)	$5 - 3 + 7 - (- 9)$
10270	Evaluate	((72÷27)÷40*15)÷8	$72 \div 27 \div 40 \cdot 15 \div 8$
10271	Find dy/dx	y = cube root of (1+x^2)/(x-4)	$y = \sqrt[3]{\frac{1 + x^{2}}{x - 4}}$
10272	Solve the Inequality for x	((x-9)(x+9))/x>=0	$\frac{(x - 9) (x + 9)}{x} \geq 0$
10273	Solve for x	square root of x+4 = square root of 7x+2	$\sqrt{x} + 4 = \sqrt{7 x + 2}$
10274	Simplify	i^10i^11i^20	$i^{10} \cdot i^{11} \cdot i^{20}$
10275	Evaluate	(3^3-6*8)÷7	$(3^{3} - 6 \cdot 8) \div 7$
10276	Simplify	((6^0)^4)/(6^5)	$\frac{{(6^{0})}^{4}}{6^{5}}$
10277	Solve the System of Equations	-4x+y-z=12 -5x+y+4z=21 -4x-y+4z=23	$- 4 x + y - z = 12$ $- 5 x + y + 4 z = 21$ $- 4 x - y + 4 z = 23$
10278	Find the Inflection Points	f(x)=-1/3x^6-3x^5-15/2x^4	$f (x) = - \frac{1}{3} x^{6} - 3 x^{5} - \frac{15}{2} x^{4}$
10279	Find the LCD	(x+10)/(x-6)+(x-3)/(x+4)	$\frac{x + 10}{x - 6} + \frac{x - 3}{x + 4}$
10280	Solve for x	3 natural log of x=a+3 natural log of b	$3 \ln (x) = a + 3 \ln (b)$
10281	Graph	\|x-2y\|<4	$\| x - 2 y \| < 4$
10282	Solve the Function Operation	f(x)=3x^2+6x+10 g(x)=2x-13 Find: g(f(x))	$f (x) = 3 x^{2} + 6 x + 10$ $g (x) = 2 x - 13$ Find: $g (f (x))$
10283	Simplify	(-2x^2-4x)-(-7x^2+1)	$(- 2 x^{2} - 4 x) - (- 7 x^{2} + 1)$
10284	Simplify	(2(y-3))/-12	$\frac{2 (y - 3)}{- 12}$
10285	Multiply	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
10286	Find the Slope	(-6,1) and (4,-4)	$(- 6, 1)$ and $(4, - 4)$
10287	Solve for x	y(x+w)=c(x+z)	$y (x + w) = c (x + z)$
10288	Find Amplitude, Period, and Phase Shift	y=-2sec((3x-2)/4)	$y = - 2 \sec (\frac{3 x - 2}{4})$
10289	Simplify	square root of -18- square root of -8	$\sqrt{- 18} - \sqrt{- 8}$
10290	Solve for y	-8x-5y<-20	$- 8 x - 5 y < - 20$
10291	Simplify	fourth root of v fifth root of v^8	$\sqrt[4]{v} \sqrt[5]{v^{8}}$
10292	Simplify	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
10293	Divide	(12m^3y^4+12m^2y^3+3my^2)/(6m^2y^2)	$\frac{12 m^{3} y^{4} + 12 m^{2} y^{3} + 3 m y^{2}}{6 m^{2} y^{2}}$
10294	Find the Midpoint	(4,12) and (-6,14)	$(4, 12)$ and $(- 6, 14)$
10295	Simplify	-(xy^-1)/(9z^-2)	$- \frac{x y^{- 1}}{9 z^{- 2}}$
10296	Solve the Rational Equation for x	square root of 3x+12 = square root of x+8	$\sqrt{3 x + 12} = \sqrt{x + 8}$
10297	Simplify	(f+g+h)(f+g)	$(f + g + h) (f + g)$
10298	Simplify	(5x^2)/3*8/(5x^2)	$\frac{5 x^{2}}{3} \cdot \frac{8}{5 x^{2}}$
10299	Simplify	square root of 2* square root of 2^5	$\sqrt{2} \cdot \sqrt{2^{5}}$
10300	Solve for x	(3x)/4+3/2=5/14	$\frac{3 x}{4} + \frac{3}{2} = \frac{5}{14}$