Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18301	Solve the System of Equations	6a-2b-5c=6 6a+2b-2c=16 a+4b+4c=15	$6 a - 2 b - 5 c = 6$ $6 a + 2 b - 2 c = 16$ $a + 4 b + 4 c = 15$
18302	Simplify	(30a^3)/(a^2-16)*(a^2+4a)/(24a^3)	$\frac{30 a^{3}}{a^{2} - 16} \cdot \frac{a^{2} + 4 a}{24 a^{3}}$
18303	Write the Fraction in Simplest Form	((2t)^2)/(3t^8)	$\frac{{(2 t)}^{2}}{3 t^{8}}$
18304	Find dy/dx	-y^3-3=3y^2+4x^3	$- y^{3} - 3 = 3 y^{2} + 4 x^{3}$
18305	Simplify	(y^2+1)/(y^2-2y)	$\frac{y^{2} + 1}{y^{2} - 2 y}$
18306	Find the Domain and Range	g(x) = square root of x^2+x	$g (x) = \sqrt{x^{2} + x}$
18307	Find the Derivative - d/dx	1+1/(x^2)	$1 + \frac{1}{x^{2}}$
18308	Solve the Function Operation	f(x)=x-12 g(x)=3x^2+7x+1 Find: (fog)(x)	$f (x) = x - 12$ $g (x) = 3 x^{2} + 7 x + 1$ Find: $((f \circ g)) (x)$
18309	Simplify	(8^-1+8^0)-(2^-1+2^0)	$(8^{- 1} + 8^{0}) - (2^{- 1} + 2^{0})$
18310	Find the Reference Angle	13/5pi	$\frac{13}{5} π$
18311	Factor	18y-2xy-72+8x	$18 y - 2 x y - 72 + 8 x$
18312	Evaluate	(2)(-7)^2-(-2)(-3)^3	$(2) {(- 7)}^{2} - (- 2) {(- 3)}^{3}$
18313	Evaluate the Limit	limit as x approaches 4 of (x^2-6x+8)/(2x^3-4x^2-16x)	$lim_{x \to 4} \frac{x^{2} - 6 x + 8}{2 x^{3} - 4 x^{2} - 16 x}$
18314	Solve the Inequality for t	12t<=60	$12 t \leq 60$
18315	Simplify	Subtract 17a^2b from 2a^2b	Subtract $17 a^{2} b$ from $2 a^{2} b$
18316	Evaluate the Integral	integral from 0 to 3 of 1/((1-x)^2) with respect to x	$\int_{0}^{3} \frac{1}{{(1 - x)}^{2}} d x$
18317	Simplify	6^0+(5^-3*5^3)	$6^{0} + (5^{- 3} \cdot 5^{3})$
18318	Evaluate the Integral	integral of 3x^3(x^5+4/(x^4)) with respect to x	$\int 3 x^{3} (x^{5} + \frac{4}{x^{4}}) d x$
18319	Solve for S	S=(n-2)*180	$S = (n - 2) \cdot 180$
18320	Evaluate	1/2(2)^2pi/3	$\frac{1}{2} {(2)}^{2} \frac{π}{3}$
18321	Find the Derivative - d/dx	2cos(x)+1	$2 \cos (x) + 1$
18322	Solve the Function Operation	f(x)=-x-2 if x<1; -2 if x=1; -(x-4)^2 if x>1 Find f(-1)	$f (x) = {\begin{cases} - x - 2 & x < 1 \\ - 2 & x = 1 \\ - {(x - 4)}^{2} & x > 1 \end{cases}$ Find $f (- 1)$
18323	Find the Inverse	f(x)=7 log of 1/4x-3+2	$f (x) = 7 \log (\frac{1}{4} x - 3) + 2$
18324	Solve the Inequality for x	-2x^2-158<=36x+2	$- 2 x^{2} - 158 \leq 36 x + 2$
18325	Evaluate	m^-2*n^3	$m^{- 2} \cdot n^{3}$
18326	Solve for θ	csc(theta)=-(2 square root of 3)/3	$\csc (θ) = - \frac{2 \sqrt{3}}{3}$
18327	Simplify	(4^2)/(4^3)*4^0	$\frac{4^{2}}{4^{3}} \cdot 4^{0}$
18328	Write in Standard Form	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$
18329	Evaluate	(-6)^-21*(-6)^18	${(- 6)}^{- 21} \cdot {(- 6)}^{18}$
18330	Find the Parabola with Focus (5,6) and Directrix x=-2	focus (5,6) ; directrix x=-2	focus $(5, 6)$ ; directrix $x = - 2$
18331	Evaluate the Integral	integral from 3 to 5 of (3x+5)/(x^2+2x-3) with respect to x	$\int_{3}^{5} \frac{3 x + 5}{x^{2} + 2 x - 3} d x$
18332	Multiply	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
18333	Divide	(500x^9y^6z^4)/(50x^5y^3z^2)	$\frac{500 x^{9} y^{6} z^{4}}{50 x^{5} y^{3} z^{2}}$
18334	Simplify	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
18335	Graph	x<2 y>3	$x < 2$ $y > 3$
18336	Solve the System of Equations	4-0.8x=0.5y -y+0.3x=1.1	$4 - 0.8 x = 0.5 y$ $- y + 0.3 x = 1.1$
18337	Solve for x	(1/49)^(x+2)=(7)^(x-3)	${(\frac{1}{49})}^{x + 2} = {(7)}^{x - 3}$
18338	Simplify	f+f+8f	$f + f + 8 f$
18339	Solve for a	-1/4+3/4a=-(-7/4a-1)	$- \frac{1}{4} + \frac{3}{4} a = - (- \frac{7}{4} a - 1)$
18340	Simplify	1/27y^9-27/1000x^12	$\frac{1}{27} y^{9} - \frac{27}{1000} x^{12}$
18341	Write in Standard Form	(x^2+2x-3)(3x^2-2x+4)	$(x^{2} + 2 x - 3) (3 x^{2} - 2 x + 4)$
18342	Convert to Scientific Notation	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \times 10^{- 7}}$
18343	Simplify	square root of -12*2i square root of -9	$\sqrt{- 12} \cdot 2 i \sqrt{- 9}$
18344	Solve for x	x-xe^(5x+2)=0	$x - x e^{5 x + 2} = 0$
18345	Factor by Grouping	22c+33d	$22 c + 33 d$
18346	Divide	(-3/2)÷(7/4)	$- \frac{3}{2} \div \frac{7}{4}$
18347	Simplify	(x^9yz^4)^5 ?	${(x^{9} y z^{4})}^{5}$ ?
18348	Simplify	cube root of -125* fourth root of 16	$\sqrt[3]{- 125} \cdot \sqrt[4]{16}$
18349	Solve for z	-5z+1<-14	$- 5 z + 1 < - 14$
18350	Find the x and y Intercepts	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
18351	Simplify the Radical Expression	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
18352	Solve for z	square root of z+5+4<=13	$\sqrt{z + 5} + 4 \leq 13$
18353	Solve for x	x(x+1)-x^2+8=0	$x (x + 1) - x^{2} + 8 = 0$
18354	Simplify	((2+i)^2(-i))/(1+i)	$\frac{{(2 + i)}^{2} (- i)}{1 + i}$
18355	Find the Domain and Range	g(x)=-2sec(3x+4)+1	$g (x) = - 2 \sec (3 x + 4) + 1$
18356	Find the Roots (Zeros)	f(x)=8x^7(x^2+x-12)	$f (x) = 8 x^{7} (x^{2} + x - 12)$
18357	Solve for x	log base 4 of 4x+2 log base 4 of x=4	$\log_{4} (4 x) + 2 \log_{4} (x) = 4$
18358	Solve for x	square root of 8x^2-72=5	$\sqrt{8 x^{2} - 72} = 5$
18359	Evaluate the Limit	limit as x approaches 0 of (sin(x)-sinh(x))/(cos(x)-cosh(x))	$lim_{x \to 0} \frac{\sin (x) - \sinh (x)}{\cos (x) - \cosh (x)}$
18360	Find the Domain and Range	y=sin(x-pi/2)	$y = \sin (x - \frac{π}{2})$
18361	Simplify	(x^(1/2+1))/(1/2+1)	$\frac{x^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}$
18362	Factor	3x^3y^2z+6x^2y	$3 x^{3} y^{2} z + 6 x^{2} y$
18363	Solve the Function Operation	if f(x)=-x^3+x^2+x ; find f(-2)	if $f (x) = - x^{3} + x^{2} + x$ ; find $f (- 2)$
18364	Solve the System of Equations	8x-1/3y=0 12x+3=y	$8 x - \frac{1}{3} y = 0$ $12 x + 3 = y$
18365	Write in Standard Form	(x^2-4x-4)(x^2-2x+2)	$(x^{2} - 4 x - 4) (x^{2} - 2 x + 2)$
18366	Divide	(51/7)÷(-7)	$\frac{51}{7} \div (- 7)$
18367	Graph	y<=2x+3 3x+y<=-2	$y \leq 2 x + 3$ $3 x + y \leq - 2$
18368	Find the Asymptotes	y=(5x^5-x+5)/(x^4+5x+5)	$y = \frac{5 x^{5} - x + 5}{x^{4} + 5 x + 5}$
18369	Find the Tangent Line at (2,-5)	16x^3+y^3=3 , (2,-5)	$16 x^{3} + y^{3} = 3$ , $(2, - 5)$
18370	Divide	(8p^6+12p^9)/(2p^3)	$\frac{8 p^{6} + 12 p^{9}}{2 p^{3}}$
18371	Solve the System of Inequalities	-x-6<=-3 or -4x+3>-1	$- x - 6 \leq - 3$ or $- 4 x + 3 > - 1$
18372	Evaluate	( fourth root of -52)^5	${(\sqrt[4]{- 52})}^{5}$
18373	Simplify the Radical Expression	fourth root of (2m^7)/(625n^4)	$\sqrt[4]{\frac{2 m^{7}}{625 n^{4}}}$
18374	Find the Product	square root of 3* square root of 2	$\sqrt{3} \cdot \sqrt{2}$
18375	Solve the Differential Equation	y'=2xy	$y' = 2 x y$
18376	Solve the System of Equations	4x^2+25y^2=100 y=x+2	$4 x^{2} + 25 y^{2} = 100$ $y = x + 2$
18377	Solve for x	\|3x-4\|=2.5 square root of 3-x	$\| 3 x - 4 \| = 2.5 \sqrt{3 - x}$
18378	Simplify	(6x^2+11x-2)/(4x^2-3x-1)*(5x^2-3x-2)/(3x^2+7x+2)	$\frac{6 x^{2} + 11 x - 2}{4 x^{2} - 3 x - 1} \cdot \frac{5 x^{2} - 3 x - 2}{3 x^{2} + 7 x + 2}$
18379	Find the Antiderivative	xsin(x)^2	$x \sin^{2} (x)$
18380	Solve for x	log base (5/2) of x=-3	$\log_{(\frac{5}{2})} (x) = - 3$
18381	Simplify the Radical Expression	(2+ square root of 6)(2- square root of 6)	$(2 + \sqrt{6}) (2 - \sqrt{6})$
18382	Evaluate	(sec(theta))/(cos(theta))	$\frac{\sec (θ)}{\cos (θ)}$
18383	Simplify	-2x-3xx	$- 2 x \cdot - 3 x \cdot x$
18384	Solve for w	4(w-6)<=-12	$4 (w - 6) \leq - 12$
18385	Evaluate	square root of 3x+28-8=x	$\sqrt{3 x + 28} - 8 = x$
18386	Solve the Function Operation	f(x)=-2x-4 if x<-3; -x-4 if -3<=x<=2; -(x-3)^2 if x>2 Find f(2)	$f (x) = {\begin{cases} - 2 x - 4 & x < - 3 \\ - x - 4 & - 3 \leq x \leq 2 \\ - {(x - 3)}^{2} & x > 2 \end{cases}$ Find $f (2)$
18387	Solve for h	256=4h^6	$256 = 4 h^{6}$
18388	Solve the Rational Equation for x	(x^2+20)/(x(x-2))=(14-x)/(x-2)	$\frac{x^{2} + 20}{x (x - 2)} = \frac{14 - x}{x - 2}$
18389	Solve the Inequality for x	5\|x+5\|+2>=42	$5 \| x + 5 \| + 2 \geq 42$
18390	Evaluate	8^(x-1)=2^(x+2)	$8^{x - 1} = 2^{x + 2}$
18391	Find the Exact Value	tan(arcsin(1)-arccos(1/2))	$\tan (\arcsin (1) - \arccos (\frac{1}{2}))$
18392	Solve for x	log base (3/5) of x=-3	$\log_{(\frac{3}{5})} (x) = - 3$
18393	Evaluate	5/6(3)^1	$\frac{5}{6} {(3)}^{1}$
18394	Solve Using the Quadratic Formula	27x^2+bx+3=0	$27 x^{2} + b x + 3 = 0$
18395	Simplify the Radical Expression	square root of 144xy^2z^3	$\sqrt{144 x y^{2} z^{3}}$
18396	Solve the Function Operation	f(x)=x^7-4 ; find f^-1(x)	$f (x) = x^{7} - 4$ ; find $f^{- 1} (x)$
18397	Evaluate	(-2x)^-1	${(- 2 x)}^{- 1}$
18398	Solve the Absolute Value Inequality for x	\|x-3\|+1=0	$\| x - 3 \| + 1 = 0$
18399	Solve for x	x+2=(6x-3)/x	$x + 2 = \frac{6 x - 3}{x}$
18400	Simplify	( cube root of 256)^4	${(\sqrt[3]{256})}^{4}$