Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12301	Evaluate Using the Given Value	When m=0 and n=12 ; the value of the expression 10m+10n is	When $m = 0$ and $n = 12$ ; the value of the expression $10 m + 10 n$ is
12302	Find the Domain and Range	f(x)=x/( square root of x-25)	$f (x) = \frac{x}{\sqrt{x - 25}}$
12303	Solve the System of Equations	2y+x=-15 x=3y	$2 y + x = - 15$ $x = 3 y$
12304	Find the Domain	f(x)=4/(1-2 natural log of x)	$f (x) = \frac{4}{1 - 2 \ln (x)}$
12305	Solve for p	p = square root of 2-p	$p = \sqrt{2 - p}$
12306	Solve for y	y=5*2^0	$y = 5 \cdot 2^{0}$
12307	Find the Asymptotes	(x+3)/((x-1)(x+3))	$\frac{x + 3}{(x - 1) (x + 3)}$
12308	Graph	-2x-3<=y y-1<1/2x	$- 2 x - 3 \leq y$ $y - 1 < \frac{1}{2} x$
12309	Solve for x	1-(4-(5-x))=3x-(4+x)	$1 - (4 - (5 - x)) = 3 x - (4 + x)$
12310	Simplify	(-12n^7p^5(n^2p^4))/(36n^6p^7)	$\frac{- 12 n^{7} p^{5} (n^{2} p^{4})}{36 n^{6} p^{7}}$
12311	Solve for x	\|3x-1\|=2\|3-x\|	$\| 3 x - 1 \| = 2 \| 3 - x \|$
12312	Find dy/dx	y=3^(4x)	$y = 3^{4 x}$
12313	Write the Fraction in Simplest Form	((4t)^4)/(5t)	$\frac{{(4 t)}^{4}}{5 t}$
12314	Solve for z	8/z-z=4	$\frac{8}{z} - z = 4$
12315	Find the LCM	y^2+2y-24 , y^2-16 , 2y	$y^{2} + 2 y - 24$ , $y^{2} - 16$ , $2 y$
12316	Graph	(2,45 degrees )	$(2, 45 °)$
12317	Verify the Identity	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
12318	Simplify	(r^(2/5)s)^5	${(r^{\frac{2}{5}} s)}^{5}$
12319	Find the Domain and Range	f(x)=arctan(x+1)	$f (x) = \arctan (x + 1)$
12320	Simplify	(2/3c^4d^-5)*(3c^2d)^3	$(\frac{2}{3} c^{4} d^{- 5}) \cdot {(3 c^{2} d)}^{3}$
12321	Solve the System of Equations	3x+4y=36 y=-1/2x+8	$3 x + 4 y = 36$ $y = - \frac{1}{2} x + 8$
12322	Solve for x	(4x)/(5x)=(4x+8)/(6x-10)	$\frac{4 x}{5 x} = \frac{4 x + 8}{6 x - 10}$
12323	Convert from Degrees to Radians	165deg	$165$ degrees
12324	Solve the Function Operation	f(x)=-8x-9 ; find f(-3)	$f (x) = - 8 x - 9$ ; find $f (- 3)$
12325	Multiply	(-3x+21)/(-2x-4)*(x^2-16)/(x-7)	$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$
12326	Simplify the Radical Expression	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
12327	Simplify	arcsin(cos(-pi/4))	$\arcsin (\cos (- \frac{π}{4}))$
12328	Find the Antiderivative	f(x)=x^2e^x	$f (x) = x^{2} e^{x}$
12329	Simplify	(x^2-3)-(-7x^2+4x+2)	$(x^{2} - 3) - (- 7 x^{2} + 4 x + 2)$
12330	Simplify	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
12331	Factor	x^4-5x^3+4x^2-16x^2+80x-64	$x^{4} - 5 x^{3} + 4 x^{2} - 16 x^{2} + 80 x - 64$
12332	Solve for n	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
12333	Simplify the Radical Expression	7/(8 square root of 7)	$\frac{7}{8 \sqrt{7}}$
12334	Solve for x	2(4x+5)-3=5x(2+1)	$2 (4 x + 5) - 3 = 5 x (2 + 1)$
12335	Write as a Single Logarithm	3* log base 2 of p+7* log base 2 of q	$3 \cdot \log_{2} (p) + 7 \cdot \log_{2} (q)$
12336	Solve for x	(x+2)/(x-2)=(2x+4)/(x+1)	$\frac{x + 2}{x - 2} = \frac{2 x + 4}{x + 1}$
12337	Simplify the Radical Expression	( square root of 2)/( cube root of 2)	$\frac{\sqrt{2}}{\sqrt[3]{2}}$
12338	Evaluate	-( square root of 2)/2*2/( square root of 2)	$- \frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
12339	Find the Product	(x^2-4x+16)(x+4)	$(x^{2} - 4 x + 16) (x + 4)$
12340	Solve for b	(1+ square root of 3i)^2=a+ib	${(1 + \sqrt{3} i)}^{2} = a + i b$
12341	Solve the Inequality for x	5-x<2(x-3)+5	$5 - x < 2 (x - 3) + 5$
12342	Simplify	cube root of square root of x^6	$\sqrt[3]{\sqrt{x^{6}}}$
12343	Find the Domain and Range	f(x)=1/3 square root of x-2	$f (x) = \frac{1}{3} \sqrt{x - 2}$
12344	Solve for x	6cos(x)-1=2	$6 \cos (x) - 1 = 2$
12345	Simplify	12/(4-2 square root of 2)	$\frac{12}{4 - 2 \sqrt{2}}$
12346	Simplify	(6x+21)/(x^2+5x+4)-5/(x+1)	$\frac{6 x + 21}{x^{2} + 5 x + 4} - \frac{5}{x + 1}$
12347	Graph	y<=0 x<=0 y>=-x-1	$y \leq 0$ $x \leq 0$ $y \geq - x - 1$
12348	Simplify	(( square root of 10+ square root of 15+ square root of 5)/(2+ square root of 6+ square root of 2))^2	${(\frac{\sqrt{10} + \sqrt{15} + \sqrt{5}}{2 + \sqrt{6} + \sqrt{2}})}^{2}$
12349	Find the Quotient	(x^2-3x-18)÷(x-6)	$(x^{2} - 3 x - 18) \div (x - 6)$
12350	Factor	3a^3+6a^2b+3a^2+6ab	$3 a^{3} + 6 a^{2} b + 3 a^{2} + 6 a b$
12351	Simplify the Radical Expression	1/( square root of 5x)	$\frac{1}{\sqrt{5 x}}$
12352	Solve for m	3(-8m-15)-15=20-20m	$3 (- 8 m - 15) - 15 = 20 - 20 m$
12353	Solve Using the Quadratic Formula	5=(3+ square root of 9-4y)/2	$5 = \frac{3 + \sqrt{9 - 4 y}}{2}$
12354	Find the x and y Intercepts	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
12355	Simplify	(1+i)^5(1-i)^5	${(1 + i)}^{5} {(1 - i)}^{5}$
12356	Simplify the Radical Expression	fourth root of 1/81	$\sqrt[4]{\frac{1}{81}}$
12357	Evaluate	fourth root of 16x^12	$\sqrt[4]{16 x^{12}}$
12358	Solve for b	2/3-5x=bx+1/3	$\frac{2}{3} - 5 x = b x + \frac{1}{3}$
12359	Simplify	(3x^5)(4x^(5/6))	$(3 x^{5}) (4 x^{\frac{5}{6}})$
12360	Find the GCF	11ab+32ab	$11 a b + 32 a b$
12361	Graph	y=4/3x-3 y=1	$y = \frac{4}{3} x - 3$ $y = 1$
12362	Divide Using Long Polynomial Division	(7x^8+8x^4+x^2)/x	$\frac{7 x^{8} + 8 x^{4} + x^{2}}{x}$
12363	Simplify	(18÷2*3)/(5-2)	$\frac{18 \div 2 \cdot 3}{5 - 2}$
12364	Write in Standard Form	6x-4x^4+5^7	$6 x - 4 x^{4} + 5^{7}$
12365	Identify the Sequence	0 , 1/4 , 1/2	$0$ , $\frac{1}{4}$ , $\frac{1}{2}$
12366	Evaluate the Summation	sum from i=1 to 50 of (5i-2)(i+3)	$\sum_{i = 1}^{50} (5 i - 2) (i + 3)$
12367	Solve by Factoring	-4n^2+6n-16=-5n^2	$- 4 n^{2} + 6 n - 16 = - 5 n^{2}$
12368	Find the Domain and Range	y=3sec(3x)+2	$y = 3 \sec (3 x) + 2$
12369	Evaluate	7/3*(2/3-2/9)	$\frac{7}{3} \cdot (\frac{2}{3} - \frac{2}{9})$
12370	Find the Secant Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
12371	Evaluate	((6.6710^-11)(5.9710^24))/((6.38*10^6)^2)	$\frac{(6.67 \times 10^{- 11}) (5.97 \times 10^{24})}{{(6.38 \times 10^{6})}^{2}}$
12372	Solve for a	a+3 1/2=-1 1/9	$a + 3 \frac{1}{2} = - 1 \frac{1}{9}$
12373	Solve by Substitution	x=16-4y and 3x+4y=8	$x = 16 - 4 y$ and $3 x + 4 y = 8$
12374	Evaluate	1/5(15+10k)	$\frac{1}{5} (15 + 10 k)$
12375	Add	(9y+2)/(3y^2-2y-8)+7/(3y^2+y-4)	$\frac{9 y + 2}{3 y^{2} - 2 y - 8} + \frac{7}{3 y^{2} + y - 4}$
12376	Evaluate	((-6)^-5)/(3^-2)	$\frac{{(- 6)}^{- 5}}{3^{- 2}}$
12377	Solve for A	P=0.006A^2-0.02A+120	$P = 0.006 A^{2} - 0.02 A + 120$
12378	Integrate Using u-Substitution	integral of sin(x)^3cos(x) with respect to x	$\int \sin^{3} (x) \cos (x) d x$
12379	Solve for X	4X+Y=9	$4 X + Y = 9$
12380	Find the Antiderivative	f(x)=5e^x-2x^4	$f (x) = 5 e^{x} - 2 x^{4}$
12381	Subtract Using Long Subtraction	1450-521	$1450 - 521$
12382	Solve for x	2(3x+4y)=4x+12y	$2 (3 x + 4 y) = 4 x + 12 y$
12383	Find dy/dx	y=arcsin(1/( square root of x))	$y = \arcsin (\frac{1}{\sqrt{x}})$
12384	Find the Second Derivative	y=(2x)/3+(3x)/2	$y = \frac{2 x}{3} + \frac{3 x}{2}$
12385	Solve by Addition/Elimination	3(2x-y)=24 -6x+8y=-14	$3 (2 x - y) = 24$ $- 6 x + 8 y = - 14$
12386	Find the Roots (Zeros)	a^3-4a^2+4a=0	$a^{3} - 4 a^{2} + 4 a = 0$
12387	Subtract	-6x^2-2x+5-2x^2+8	$- 6 x^{2} - 2 x + 5 - 2 x^{2} + 8$
12388	Write in Exponential Form	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
12389	Solve the Function Operation	If f(x)=x+7 and g(x)=3x-5 ; what is (f+g)(x) ?	If $f (x) = x + 7$ and $g (x) = 3 x - 5$ ; what is $(f + g) (x)$ ?
12390	Find the Domain	cube root of 9-x^2	$\sqrt[3]{9 - x^{2}}$
12391	Solve for b	-165=-3-6b^3	$- 165 = - 3 - 6 b^{3}$
12392	Solve for x	3/2=(-7x+9)/(3x)	$\frac{3}{2} = \frac{- 7 x + 9}{3 x}$
12393	Solve for R	V = square root of (GM)/R	$V = \sqrt{\frac{G M}{R}}$
12394	Solve by Substitution	y=-2x+6 3y-x+3=0	$y = - 2 x + 6$ $3 y - x + 3 = 0$
12395	Solve for x	-7+((4x+2)/2)=8	$- 7 + (\frac{4 x + 2}{2}) = 8$
12396	Find the Roots (Zeros)	x^2=4x+5	$x^{2} = 4 x + 5$
12397	Solve for y	y=1/4(4)^x for x=3/2	$y = \frac{1}{4} {(4)}^{x}$ for $x = \frac{3}{2}$
12398	Simplify the Radical Expression	( cube root of 5)^3	${(\sqrt[3]{5})}^{3}$
12399	Convert from Degrees to Radians	-270deg	$- 270$ degrees
12400	Find the Antiderivative	f(x)=7x(x-1)^6	$f (x) = 7 x {(x - 1)}^{6}$