Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8201	Solve the Inequality for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
8202	Solve for m	16^(m+1)=64^(-3m)	$16^{m + 1} = 64^{- 3 m}$
8203	Solve for x	(x-2)^(3/2)=-8	${(x - 2)}^{\frac{3}{2}} = - 8$
8204	Convert to a Decimal	sin(270)deg	$\sin (270)$ degrees
8205	Solve for y	y+15=x+6	$y + 15 = x + 6$
8206	Rationalize the Denominator	square root of (6m)/(7n)	$\sqrt{\frac{6 m}{7 n}}$
8207	Divide	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
8208	Evaluate the Limit	limit as x approaches 2/3 of square root of 9x+19	$lim_{x \to \frac{2}{3}} \sqrt{9 x + 19}$
8209	Write the Fraction in Simplest Form	(2(a)^3)/(10a^5)	$\frac{2 {(a)}^{3}}{10 a^{5}}$
8210	Solve for x	(5+7)/x=24	$\frac{(5 + 7)}{x} = 24$
8211	Find the Product	(2x^2)^3	${(2 x^{2})}^{3}$
8212	Simplify	1/(r+7)*(r^2+r-42)/(r+10)	$\frac{1}{r + 7} \cdot \frac{r^{2} + r - 42}{r + 10}$
8213	Solve for y	y-4/3=11/3	$y - \frac{4}{3} = \frac{11}{3}$
8214	Solve using Gaussian Elimination	2x-3y+z=4 y-2z+x-5=0 3-2x=4y-z	$2 x - 3 y + z = 4$ $y - 2 z + x - 5 = 0$ $3 - 2 x = 4 y - z$
8215	Simplify	( square root of 7x+3)*( square root of 7x-3)	$(\sqrt{7 x} + 3) \cdot (\sqrt{7 x} - 3)$
8216	Find the Quadratic Equation Given the Roots	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
8217	Solve the System of Equations	y-x=0 2x-5y=9	$y - x = 0$ $2 x - 5 y = 9$
8218	Determine if Linearly Dependent	[[1,2,1],[8,1,10],[6,2,5]]	$[\begin{array}{c} 1 & 2 & 1 \\ 8 & 1 & 10 \\ 6 & 2 & 5 \end{array}]$
8219	Simplify the Radical Expression	15 1/3	$15 \frac{1}{3}$
8220	Find the Exact Value	cos(pi/4)+cos(pi/4)	$\cos (\frac{π}{4}) + \cos (\frac{π}{4})$
8221	Multiply	2 square root of 3* square root of 2	$2 \sqrt{3} \cdot \sqrt{2}$
8222	Find the Slope	(-2,2) and (-5,-4)	$(- 2, 2)$ and $(- 5, - 4)$
8223	Write in Slope-Intercept Form	y+5/3=1/2(x-2)	$y + \frac{5}{3} = \frac{1}{2} (x - 2)$
8224	Graph Using a Table of Values	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
8225	Solve for w	7w+w-15=17	$7 w + w - 15 = 17$
8226	Find the Inverse	y=3^(x/2)	$y = 3^{\frac{x}{2}}$
8227	Evaluate the Limit	limit as x approaches -2 of (-3x^3-24)/(x^2+x-2)	$lim_{x \to - 2} \frac{- 3 x^{3} - 24}{x^{2} + x - 2}$
8228	Evaluate	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
8229	Solve the Inequality for x	2x^2-2x>0	$2 x^{2} - 2 x > 0$
8230	Solve for a	a/2-a/8=5	$\frac{a}{2} - \frac{a}{8} = 5$
8231	Find the Roots (Zeros)	2x(x-8)=(x+1)(2x-3)	$2 x (x - 8) = (x + 1) (2 x - 3)$
8232	Simplify	square root of (4r^8)/(t^9)	$\sqrt{\frac{4 r^{8}}{t^{9}}}$
8233	Combine Like Terms	3n-(2+n)	$3 n - (2 + n)$
8234	Graph	x(x+1)(x-1)(x-2)	$x (x + 1) (x - 1) (x - 2)$
8235	Write the Fraction in Simplest Form	(2(r^5)^2)/(3r^6)	$\frac{2 {(r^{5})}^{2}}{3 r^{6}}$
8236	Evaluate	-1/2(2)^-2	$- \frac{1}{2} {(2)}^{- 2}$
8237	Evaluate	25% of 64	$25 %$ of $64$
8238	Solve the Rational Equation for x	square root of 2x+2 = square root of x+10	$\sqrt{2 x + 2} = \sqrt{x + 10}$
8239	Simplify	i^17i^30i^6*i^19	$i^{17} \cdot i^{30} \cdot i^{6} \cdot i^{19}$
8240	Solve the System of Equations	y=-7/2x+11 7x+2y=20	$y = - \frac{7}{2} x + 11$ $7 x + 2 y = 20$
8241	Simplify	3xy^4z^2*5x^2yx	$3 x y^{4} z^{2} \cdot 5 x^{2} y x$
8242	Simplify	( square root of 2+ square root of 3)(4 square root of 2-2 square root of 3)	$(\sqrt{2} + \sqrt{3}) (4 \sqrt{2} - 2 \sqrt{3})$
8243	Simplify	(8x^3y^4(x-y)^2)/(12x^2y^5(y-x))	$\frac{8 x^{3} y^{4} {(x - y)}^{2}}{12 x^{2} y^{5} (y - x)}$
8244	Find the Domain and Range	y=\|2x-3\|+1	$y = \| 2 x - 3 \| + 1$
8245	Solve for x	(2x)^3=125	${(2 x)}^{3} = 125$
8246	Simplify	fourth root of 5* square root of 5^3	$\sqrt[4]{5} \cdot \sqrt{5^{3}}$
8247	Solve Using an Augmented Matrix	3x-5y+z=14 2x+3y-4z=20 5x-y+2z=7	$3 x - 5 y + z = 14$ $2 x + 3 y - 4 z = 20$ $5 x - y + 2 z = 7$
8248	Write the Fraction in Simplest Form	(6d^6)/(2(d^5)^2)	$\frac{6 d^{6}}{2 {(d^{5})}^{2}}$
8249	Integrate Using u-Substitution	integral of 5x cube root of 1-x^2 with respect to x	$\int 5 x \sqrt[3]{1 - x^{2}} d x$
8250	Simplify	(3-8n-n^2)+(7+2n^2-5n)	$(3 - 8 n - n^{2}) + (7 + 2 n^{2} - 5 n)$
8251	Find the Square Roots of a Complex Number	4+4i	$4 + 4 i$
8252	Evaluate	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
8253	Simplify	(a/(1-a)+(1+a)/a)/((a-1)/a+(-a)/(1+a))	$\frac{\frac{a}{1 - a} + \frac{1 + a}{a}}{\frac{a - 1}{a} + \frac{- a}{1 + a}}$
8254	Evaluate the Integral	integral of ( cube root of x^4)/4 with respect to x	$\int \frac{\sqrt[3]{x^{4}}}{4} d x$
8255	Solve the Inequality for y	y+5<8	$y + 5 < 8$
8256	Solve for n	(n+3)/2=(26+n)/3	$\frac{n + 3}{2} = \frac{26 + n}{3}$
8257	Describe the Transformation	y=-(2x+8)^3+3	$y = - {(2 x + 8)}^{3} + 3$
8258	Simplify	3/4-3/24	$\frac{3}{4} - \frac{3}{24}$
8259	Simplify	((x^4-81)/(x^2+9))÷((x^2+2x-15)/(x^2+5x))	$\frac{x^{4} - 81}{x^{2} + 9} \div \frac{x^{2} + 2 x - 15}{x^{2} + 5 x}$
8260	Find f(g(x))	f(x)=x^2+6x-2 g(x)=x-6	$f (x) = x^{2} + 6 x - 2$ $g (x) = x - 6$
8261	Find the Roots (Zeros)	9x^2=-54x-83	$9 x^{2} = - 54 x - 83$
8262	Evaluate the Limit	limit as x approaches infinity of (x-5)/( cube root of 27x^3+12)	$lim_{x \to \infty} \frac{x - 5}{\sqrt[3]{27 x^{3} + 12}}$
8263	Find the Domain	f(x) = square root of (x^2+2)/(x-2)+3	$f (x) = \sqrt{\frac{x^{2} + 2}{x - 2} + 3}$
8264	Solve for x	(7(3x-6))/3=-7	$\frac{7 (3 x - 6)}{3} = - 7$
8265	Find the Exact Value	f^-1(f(x))	$f^{- 1} (f (x))$
8266	Graph	f(x)=1/2(x-1)^3	$f (x) = \frac{1}{2} {(x - 1)}^{3}$
8267	Simplify	(5+2yi)(4-3i)-(5-2yi)(4-3i)	$(5 + 2 y i) (4 - 3 i) - (5 - 2 y i) (4 - 3 i)$
8268	Graph	y>x-2 y<=x	$y > x - 2$ $y \leq x$
8269	Find the Equation Given the Roots	-2i and square root of 10	$- 2 i$ and $\sqrt{10}$
8270	Simplify	cube root of (81x^2y^3)/(8xy^4z)	$\sqrt[3]{\frac{81 x^{2} y^{3}}{8 x y^{4} z}}$
8271	Write the Fraction in Simplest Form	(3a^2)/(3(a^2)^4)	$\frac{3 a^{2}}{3 {(a^{2})}^{4}}$
8272	Solve the Inequality for a	square root of 2a-3<5	$\sqrt{2 a - 3} < 5$
8273	Simplify	x/(x+4)-(x+36)/(x^2-16)	$\frac{x}{x + 4} - \frac{x + 36}{x^{2} - 16}$
8274	Simplify	x(x+y)+y(x+y)	$x (x + y) + y (x + y)$
8275	Rationalize the Denominator	(2- square root of 6)/(2+ square root of 6)	$\frac{2 - \sqrt{6}}{2 + \sqrt{6}}$
8276	Find the Maximum/Minimum Value	f(x)=-5x^4+5x^3-10	$f (x) = - 5 x^{4} + 5 x^{3} - 10$
8277	Simplify the Radical Expression	4( square root of 3+ square root of 7)	$4 (\sqrt{3} + \sqrt{7})$
8278	Solve the System of Inequalities	t+14>=15 or t-9<-10	$t + 14 \geq 15$ or $t - 9 < - 10$
8279	Simplify	( square root of 2)/(1+ square root of 6)	$\frac{\sqrt{2}}{1 + \sqrt{6}}$
8280	Solve the Rational Equation for x	(x+5)^(2/3)=4	${(x + 5)}^{\frac{2}{3}} = 4$
8281	Solve for x	x^2+xy+y^2=0	$x^{2} + x y + y^{2} = 0$
8282	Simplify	2x+3xy-(x+y)+2	$2 x + 3 x y - (x + y) + 2$
8283	Simplify	(3n^(5/3))/(4n^2)	$\frac{3 n^{\frac{5}{3}}}{4 n^{2}}$
8284	Simplify	( fourth root of 18)÷( square root of 6)	$\sqrt[4]{18} \div \sqrt{6}$
8285	Simplify the Radical Expression	(2 square root of 3)^2	${(2 \sqrt{3})}^{2}$
8286	Find the Exact Value	tan(-450 degrees )	$\tan (- 450 °)$
8287	Solve for x	2(x-10)^(1/3)+4=0	$2 {(x - 10)}^{\frac{1}{3}} + 4 = 0$
8288	Simplify	-7s(2r)(-4r^8s^2)	$- 7 s (2 r) (- 4 r^{8} s^{2})$
8289	Solve the Inequality for x	x/-5+12<11	$\frac{x}{- 5} + 12 < 11$
8290	Find the Domain and Range	y=2/3arccos(3x+1/2)	$y = \frac{2}{3} \arccos (3 x + \frac{1}{2})$
8291	Simplify	((9y^2)/(y^2+2y+1))÷((36y)/(y^2-1))	$\frac{9 y^{2}}{y^{2} + 2 y + 1} \div \frac{36 y}{y^{2} - 1}$
8292	Simplify	(-4x^-6y^8)(-6x^-4y^-2)	$(- 4 x^{- 6} y^{8}) (- 6 x^{- 4} y^{- 2})$
8293	Simplify	2( square root of 3+ square root of 5)	$2 (\sqrt{3} + \sqrt{5})$
8294	Write in Exponential Form	square root of x^6	$\sqrt{x^{6}}$
8295	Add	(-3m^2+m)+(4m^2+6m)	$(- 3 m^{2} + m) + (4 m^{2} + 6 m)$
8296	Simplify	6/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{6}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
8297	Rationalize the Denominator	( square root of 10- square root of 5)/( square root of 5+ square root of 2)	$\frac{\sqrt{10} - \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
8298	Graph	1/4x>=-2	$\frac{1}{4} x \geq - 2$
8299	Evaluate the Limit	limit as x approaches -1 of (-5x^3-5)/(x^2-5x-6)	$lim_{x \to - 1} \frac{- 5 x^{3} - 5}{x^{2} - 5 x - 6}$
8300	Simplify the Radical Expression	( square root of 5+ square root of 2)/( square root of 8)	$\frac{\sqrt{5} + \sqrt{2}}{\sqrt{8}}$