Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229301	Solve for x	f(x)=2x+11 and g(x)=-3x-22	$f (x) = 2 x + 11$ and $g (x) = - 3 x - 22$
229302	Simplify	(16^5)(16^(1/2))	$(16^{5}) (16^{\frac{1}{2}})$
229303	Evaluate	-3^(-2+2)	$- 3^{- 2 + 2}$
229304	Simplify	square root of 4x^2-1	$\sqrt{4 x^{2} - 1}$
229305	Determine if True	arccsc(theta)=sin(theta)	$arccsc (θ) = \sin (θ)$
229306	Simplify	((x^2+12x+27)/(42x-6x^2)*(49-x^2)/(x^2+16x+63))÷((x^2+8x+15)/(100-4x^2))	$\frac{x^{2} + 12 x + 27}{42 x - 6 x^{2}} \cdot \frac{49 - x^{2}}{x^{2} + 16 x + 63} \div \frac{x^{2} + 8 x + 15}{100 - 4 x^{2}}$
229307	Graph	x<=-2 or x>=2	$x \leq - 2$ or $x \geq 2$
229308	Find the LCM	8 and 20	$8$ and $20$
229309	Simplify	(3p^3)/( square root of 5p^6)	$\frac{3 p^{3}}{\sqrt{5 p^{6}}}$
229310	Simplify	(a^(-1/4)b)^-4(b^2c)^(-1/4)	${(a^{- \frac{1}{4}} b)}^{- 4} {(b^{2} c)}^{- \frac{1}{4}}$
229311	Solve the System of Equations	4x-2y+3z=1 x+3y-4z=-7 3x+y+2z=5	$4 x - 2 y + 3 z = 1$ $x + 3 y - 4 z = - 7$ $3 x + y + 2 z = 5$
229312	Divide	(9x^2y^7)/(3x^2y^7)	$\frac{9 x^{2} y^{7}}{3 x^{2} y^{7}}$
229313	Simplify	(8 square root of 3)/( square root of k)	$\frac{8 \sqrt{3}}{\sqrt{k}}$
229314	Simplify	(8a^2b^2)/(2 square root of 2b)	$\frac{8 a^{2} b^{2}}{2 \sqrt{2 b}}$
229315	Simplify	(a^3b^-4)/(4b^2)	$\frac{a^{3} b^{- 4}}{4 b^{2}}$
229316	Simplify	6a(2a^2bc^3)	$6 a (2 a^{2} b c^{3})$
229317	Solve for x	x+37+x+67+90=180	$x + 37 + x + 67 + 90 = 180$
229318	Write the Fraction in Simplest Form	-4/7p+(-2/7p)+1/7	$- \frac{4}{7} p + (- \frac{2}{7} p) + \frac{1}{7}$
229319	Graph	tan(theta)<0 , sec(theta)<0	$\tan (θ) < 0$ , $\sec (θ) < 0$
229320	Solve for x	x^3-4/x=6	$x^{3} - \frac{4}{x} = 6$
229321	Solve for a	A = ninth root of a^4 square root of b* ninth root of b^4 square root of a	$A = \sqrt[9]{a^{4} \sqrt{b}} \cdot \sqrt[9]{b^{4} \sqrt{a}}$
229322	Simplify	sixth root of 729a^9b^24	$\sqrt[6]{729 a^{9} b^{24}}$
229323	Find the Product	(17+e^2)(17-e^2)	$(17 + e^{2}) (17 - e^{2})$
229324	Evaluate	sin(2x)=2sin(x)	$\sin (2 x) = 2 \sin (x)$
229325	Solve the Inequality for n	15<n+3-7n	$15 < n + 3 - 7 n$
229326	Solve the Inequality for w	-8<=8w	$- 8 \leq 8 w$
229327	Find the Domain and Range	y=3-2^x	$y = 3 - 2^{x}$
229328	Simplify	(12x^2+3x^4-6x-2)+(-3x^4+5x+9-7x^2)	$(12 x^{2} + 3 x^{4} - 6 x - 2) + (- 3 x^{4} + 5 x + 9 - 7 x^{2})$
229329	Simplify the Radical Expression	- square root of 4+ square root of -108+ square root of 9- square root of -12	$- \sqrt{4} + \sqrt{- 108} + \sqrt{9} - \sqrt{- 12}$
229330	Factor	16x^2(x^2+7)-9(x^2+7)	$16 x^{2} (x^{2} + 7) - 9 (x^{2} + 7)$
229331	Solve the System of Equations	Solve the system of equations y=2x+3 and 2y+2x=-6 using the Substitution Method.	Solve the system of equations $y = 2 x + 3$ and $2 y + 2 x = - 6$ using the Substitution Method.
229332	Solve for x	x^2 = square root of 3	$x^{2} = \sqrt{3}$
229333	Graph	f(x)=e^x if x<=0; x-1 if 0=1	$f (x) = {\begin{cases} e^{x} & x \leq 0 \\ x - 1 & 0 = 1 \end{cases}$
229334	Graph	x>=0 y>=0 y<=7-x	$x \geq 0$ $y \geq 0$ $y \leq 7 - x$
229335	Evaluate	(4a)^-3*a^-4	${(4 a)}^{- 3} \cdot a^{- 4}$
229336	Simplify	(-3x^5-x^4-x^3+2x^2)-(x^5-x^4+x^3-3x^2)	$(- 3 x^{5} - x^{4} - x^{3} + 2 x^{2}) - (x^{5} - x^{4} + x^{3} - 3 x^{2})$
229337	Solve the Rational Equation for x	-5-(2x)/(x-4)=-8/(x-4)	$- 5 - \frac{2 x}{x - 4} = - \frac{8}{x - 4}$
229338	Solve for v	v^(1/2)+1=0	$v^{\frac{1}{2}} + 1 = 0$
229339	Solve the Inequality for x	\|x\|+7<4	$\| x \| + 7 < 4$
229340	Solve the System of Equations	-3x+3y=9 and 2x-7y=-14	$- 3 x + 3 y = 9$ and $2 x - 7 y = - 14$
229341	Find the Roots (Zeros)	\|x\|+x=0	$\| x \| + x = 0$
229342	Solve for n	39-7n=5n-5(6+7n)	$39 - 7 n = 5 n - 5 (6 + 7 n)$
229343	Solve for x	square root of 2x-3 = square root of 10-x	$\sqrt{2 x - 3} = \sqrt{10 - x}$
229344	Simplify	f(3+h)-f(3)	$f (3 + h) - f (3)$
229345	Solve the System of Equations	y=x^2+10x+3 y=-x^2-5	$y = x^{2} + 10 x + 3$ $y = - x^{2} - 5$
229346	Simplify	((4x^2+7x-2)/(3x+9))÷((x^2-4)/(x^2+x-6))	$\frac{4 x^{2} + 7 x - 2}{3 x + 9} \div \frac{x^{2} - 4}{x^{2} + x - 6}$
229347	Evaluate	f(x)=7(x-1)+8	$f (x) = 7 (x - 1) + 8$
229348	Graph	x^2+(y-3/2x)^2=1	$x^{2} + {(y - \frac{3}{2} x)}^{2} = 1$
229349	Simplify	fifth root of 32/(x^5)	$\sqrt[5]{\frac{32}{x^{5}}}$
229350	Solve by Substitution	2x-y=4 and y=-2x+8	$2 x - y = 4$ and $y = - 2 x + 8$
229351	Find the Domain and Range	y=-3cos(x-2)	$y = - 3 \cos (x - 2)$
229352	Determine if a Polynomial	square root of 2x^5-7x^2-8x	$\sqrt{2} x^{5} - 7 x^{2} - 8 x$
229353	Evaluate	(3x^3)(3x^4)(-3x^2)	$(3 x^{3}) (3 x^{4}) (- 3 x^{2})$
229354	Solve for a	2/3(6a+9)=20.4	$\frac{2}{3} (6 a + 9) = 20.4$
229355	Subtract	(5y^3-2y^2-1)-(y^2-2y-3)	$(5 y^{3} - 2 y^{2} - 1) - (y^{2} - 2 y - 3)$
229356	Factor	14pq+35pqr	$14 p q + 35 p q r$
229357	Find h(f(x))	f(x)=5x^2+2x-5 , g(x)=7x+8 , h(x)=4x^2-10	$f (x) = 5 x^{2} + 2 x - 5$ , $g (x) = 7 x + 8$ , $h (x) = 4 x^{2} - 10$
229358	Simplify	(11p-4q^2-q)-(q^2-4p+7p^2)	$(11 p - 4 q^{2} - q) - (q^{2} - 4 p + 7 p^{2})$
229359	Evaluate Using the Given Value	2+3x if x=5	$2 + 3 x$ if $x = 5$
229360	Find the Roots (Zeros)	g(x)=x(x-2)(2x-1)	$g (x) = x (x - 2) (2 x - 1)$
229361	Solve for C	d=C/pi	$d = \frac{C}{π}$
229362	Evaluate	(10*7)+(10-6)	$(10 \times 7) + (10 - 6)$
229363	Simplify	(2/7)/((3 square root of 5)/7)	$\frac{\frac{2}{7}}{\frac{3 \sqrt{5}}{7}}$
229364	Evaluate	3b^2( cube root of 54a)+3( cube root of 2ab^6)	$3 b^{2} (\sqrt[3]{54 a}) + 3 (\sqrt[3]{2 a b^{6}})$
229365	Convert to a Percentage	34 is what percent of 40	$34$ is what percent of $40$
229366	Simplify	2x+(5x)/(x+3)	$2 x + \frac{5 x}{x + 3}$
229367	Solve the System of Inequalities	y<=2x y<-3/4x-2	$y \leq 2 x$ $y < - \frac{3}{4} x - 2$
229368	Divide	(-8x^8-40x^5)÷(-4x^2)	$(- 8 x^{8} - 40 x^{5}) \div (- 4 x^{2})$
229369	Solve the System of Equations	x^2+y^2=25 2x+y=10	$x^{2} + y^{2} = 25$ $2 x + y = 10$
229370	Solve for g	15/(2g-7)=3/5	$\frac{15}{2 g - 7} = \frac{3}{5}$
229371	Find the Domain and Range	1/(\|x-2\|)	$\frac{1}{\| x - 2 \|}$
229372	Evaluate	(tan(theta))/(cot(theta))	$\frac{\tan (θ)}{\cot (θ)}$
229373	Evaluate	2sin(x) = square root of 3	$2 \sin (x) = \sqrt{3}$
229374	Simplify	(x+1)/(x-4)-(x+1)/(x^2-7x+12)	$\frac{x + 1}{x - 4} - \frac{x + 1}{x^{2} - 7 x + 12}$
229375	Factor	x^2-bx-ax+ab	$x^{2} - b x - a x + a b$
229376	Simplify	(6 square root of 2x)/(5 square root of 3)	$\frac{6 \sqrt{2 x}}{5 \sqrt{3}}$
229377	Write in Standard Form	f(x)=4+5x+x^2	$f (x) = 4 + 5 x + x^{2}$
229378	Evaluate	5+(3-2)*2(3-1)	$5 + (3 - 2) \cdot 2 (3 - 1)$
229379	Solve for x	-4+3x-1=2x+1+2x	$- 4 + 3 x - 1 = 2 x + 1 + 2 x$
229380	Find the Domain and Range	-x^2+3x-8=0	$- x^{2} + 3 x - 8 = 0$
229381	Solve for t	-1/2(t+3)-10=-6.5	$- \frac{1}{2} (t + 3) - 10 = - 6.5$
229382	Simplify	(x+2)/(x+1)-(2x)/(x^2-1)	$\frac{x + 2}{x + 1} - \frac{2 x}{x^{2} - 1}$
229383	Divide	(64x^4-88x^8)/(-8x^3)	$\frac{64 x^{4} - 88 x^{8}}{- 8 x^{3}}$
229384	Simplify the Radical Expression	14 square root of 2b+17 square root of 2c-28 square root of 2c+19 square root of 2b	$14 \sqrt{2 b} + 17 \sqrt{2 c} - 28 \sqrt{2 c} + 19 \sqrt{2 b}$
229385	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-3x^2-10x+24 is divided by x+3	Use synthetic division to find the result when $x^{3} - 3 x^{2} - 10 x + 24$ is divided by $x + 3$
229386	Solve the Rational Equation for x	(-2x+6)^(1/5)=(-8+10x)^(1/5)	${(- 2 x + 6)}^{\frac{1}{5}} = {(- 8 + 10 x)}^{\frac{1}{5}}$
229387	Simplify	((-8)^2c^0)/(5^-1d^-6)	$\frac{{(- 8)}^{2} c^{0}}{5^{- 1} d^{- 6}}$
229388	Solve for g	8/3=g/3	$\frac{8}{3} = \frac{g}{3}$
229389	Find All Complex Solutions	(x+1)/(x-3)=(x^2-6x+1)/((x-3)(x-1))	$\frac{x + 1}{x - 3} = \frac{x^{2} - 6 x + 1}{(x - 3) (x - 1)}$
229390	Evaluate	(2* square root of 6)^4	${(2 \cdot \sqrt{6})}^{4}$
229391	Evaluate	-cos(-pi)	$- \cos (- π)$
229392	Solve for x	2=x+ square root of x	$2 = x + \sqrt{x}$
229393	Write in Standard Form	3-3/4x=7/10	$3 - \frac{3}{4} x = \frac{7}{10}$
229394	Solve for a	(4a-4)/16-(3-5a)/24=1	$\frac{(4 a - 4)}{16} - \frac{(3 - 5 a)}{24} = 1$
229395	Simplify	(x-1/x)^3	${(x - \frac{1}{x})}^{3}$
229396	Solve for x	2/(x^2+1)+1/x=2/x	$\frac{2}{x^{2} + 1} + \frac{1}{x} = \frac{2}{x}$
229397	Find the GCF	5xy+30y^2	$5 x y + 30 y^{2}$
229398	Find the Product	4x^3*2x^3	$4 x^{3} \cdot 2 x^{3}$
229399	Find the Distance Between Two Points	(-1,2) and (-7,-6)	$(- 1, 2)$ and $(- 7, - 6)$
229400	Solve the Inequality for D	15<=1.04D-34.6<=23	$15 \leq 1.04 D - 34.6 \leq 23$