Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228201	Simplify the Radical Expression	( square root of 15)/(3 square root of 6)	$\frac{\sqrt{15}}{3 \sqrt{6}}$
228202	Graph	y<3/4\|x+2\|+4	$y < \frac{3}{4} \| x + 2 \| + 4$
228203	Solve for x	(2+6x)/2=3x+3	$\frac{2 + 6 x}{2} = 3 x + 3$
228204	Solve by Graphing	x+4y=8 y=3/4x+6	$x + 4 y = 8$ $y = \frac{3}{4} x + 6$
228205	Solve the Inequality for x	4^(2x+3)=1	$4^{2 x + 3} = 1$
228206	Solve for y	2y=y	$2 y = y$
228207	Divide	2÷(5/2)	$2 \div \frac{5}{2}$
228208	Find the Roots (Zeros)	3(x-pi)^2-12	$3 {(x - π)}^{2} - 12$
228209	Find the Domain and Range	\|x^2-1\|	$\| x^{2} - 1 \|$
228210	Solve for x	square root of x^2 = square root of 40	$\sqrt{x^{2}} = \sqrt{40}$
228211	Evaluate	x^3=-27	$x^{3} = - 27$
228212	Simplify	10 square root of x+5 square root of x+2 square root of x	$10 \sqrt{x} + 5 \sqrt{x} + 2 \sqrt{x}$
228213	Simplify	48/( square root of 81- square root of 49)	$\frac{48}{\sqrt{81} - \sqrt{49}}$
228214	Find the Exact Value	sec(-840 degrees )	$\sec (- 840 °)$
228215	Write in Exponential Form	fifth root of 5^2* square root of 5^3	$\sqrt[5]{5^{2}} \cdot \sqrt{5^{3}}$
228216	Simplify	(3+ square root of 7)/(2+2 square root of 7)	$\frac{3 + \sqrt{7}}{2 + 2 \sqrt{7}}$
228217	Graph	7<x+3y	$7 < x + 3 y$
228218	Find the Domain of the Composition f(g(x))	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
228219	Graph	(1,2) , (9,2) , (9,10)	$(1, 2)$ , $(9, 2)$ , $(9, 10)$
228220	Divide	6x^3+25x^2+18x+14÷2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14 \div 2 x + 7$
228221	Convert to a Decimal	2.5rad to deg	$2.5$ radians to degrees
228222	Find the Degree	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
228223	Evaluate	(-2/3)/2	$\frac{(- \frac{2}{3})}{2}$
228224	Solve the System of Equations	(x-2)^2+(y-3)^2=65 -x+y=4	${(x - 2)}^{2} + {(y - 3)}^{2} = 65$ $- x + y = 4$
228225	Graph	y=-2csc(2x+pi/2)+3	$y = - 2 \csc (2 x + \frac{π}{2}) + 3$
228226	Solve for a	a = log base 3 of 40- log base 3 of 5+ log base 3 of 2	$a = \log_{3} (40) - \log_{3} (5) + \log_{3} (2)$
228227	Simplify/Condense	cos(-x)+(sin(-x))/(cot(-x))	$\cos (- x) + \frac{\sin (- x)}{\cot (- x)}$
228228	Evaluate	(3-2x)(4x-7)	$(3 - 2 x) (4 x - 7)$
228229	Combine Like Terms	-7-8x-4+4x	$- 7 - 8 x - 4 + 4 x$
228230	Simplify the Radical Expression	( square root of y)/( square root of y- square root of 7)	$\frac{\sqrt{y}}{\sqrt{y} - \sqrt{7}}$
228231	Rationalize the Denominator	11/( square root of 121)	$\frac{11}{\sqrt{121}}$
228232	Solve for b	1/a=bc+1/d	$\frac{1}{a} = b c + \frac{1}{d}$
228233	Evaluate	(5x+2)(x^2-3x+6)	$(5 x + 2) (x^{2} - 3 x + 6)$
228234	Solve for x	2-x^2=0	$2 - x^{2} = 0$
228235	Solve the System of Equations	2x+2y=-6 and 3x-2y=11	$2 x + 2 y = - 6$ and $3 x - 2 y = 11$
228236	Evaluate	6-3q<=1	$6 - 3 q \leq 1$
228237	Factor	5/4x^(1/4)+7/4x^(5/4)	$\frac{5}{4} x^{\frac{1}{4}} + \frac{7}{4} x^{\frac{5}{4}}$
228238	Simplify	(9/(144x^4))^(1/2)	${(\frac{9}{144 x^{4}})}^{\frac{1}{2}}$
228239	Evaluate	square root of 55-9x=x-7	$\sqrt{55 - 9 x} = x - 7$
228240	Find the Exact Value	arctan(tan(-(5pi)/7))	$\arctan (\tan (- \frac{5 π}{7}))$
228241	Factor	2cos(x)^2-cos(x)-1=0	$2 \cos^{2} (x) - \cos (x) - 1 = 0$
228242	Evaluate Using the Given Value	p-(9-(m+q)) ; use m=4 , p=5 ; and q=3	$p - (9 - (m + q))$ ; use $m = 4$ , $p = 5$ ; and $q = 3$
228243	Simplify	(3 square root of 32)/( square root of 2)	$\frac{3 \sqrt{32}}{\sqrt{2}}$
228244	Convert to Radical Form	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
228245	Evaluate	(2^3+4)÷2+4	$(2^{3} + 4) \div 2 + 4$
228246	Solve the Inequality for r	9-4r>5	$9 - 4 r > 5$
228247	Find the Exact Value	sin(pi/3)cos(pi)-cos(pi/3)sin((3pi)/2)	$\sin (\frac{π}{3}) \cos (π) - \cos (\frac{π}{3}) \sin (\frac{3 π}{2})$
228248	Simplify	-3(2x^2-8)+7	$- 3 (2 x^{2} - 8) + 7$
228249	Graph	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
228250	Simplify	-3p^4r^3(2p^2r^4-6p^6r^3-5)	$- 3 p^{4} r^{3} (2 p^{2} r^{4} - 6 p^{6} r^{3} - 5)$
228251	Simplify	(1/32)^x*(1/2)^(9x-5)	${(\frac{1}{32})}^{x} \cdot {(\frac{1}{2})}^{9 x - 5}$
228252	Simplify	5 square root of 3a^2*3 square root of 25a	$5 \sqrt{3 a^{2}} \cdot 3 \sqrt{25 a}$
228253	Write in Exponential Form	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
228254	Solve for x	(x-1)/(8x)=(x^2+6x+5)/(8x^2)-1/x	$\frac{x - 1}{8 x} = \frac{x^{2} + 6 x + 5}{8 x^{2}} - \frac{1}{x}$
228255	Solve the System of Inequalities	x<1 and x>-3	$x < 1$ and $x > - 3$
228256	Simplify	(-(3xy^4z^2)/(x^3yz^4))^0	${(- \frac{3 x y^{4} z^{2}}{x^{3} y z^{4}})}^{0}$
228257	Solve for x	x-8 7/8=-17 7/8	$x - 8 \frac{7}{8} = - 17 \frac{7}{8}$
228258	Solve for x	x^4-11x^2=80	$x^{4} - 11 x^{2} = 80$
228259	Find the Degree	x^2y-9x^4y^2+3xy	$x^{2} y - 9 x^{4} y^{2} + 3 x y$
228260	Solve the Rational Equation for x	1 = square root of x-5	$1 = \sqrt{x - 5}$
228261	Simplify the Radical Expression	square root of 48/x	$\sqrt{\frac{48}{x}}$
228262	Multiply	[[-1,-2,-2,-3],[-3,-4,0,0]][[-4,0,2],[2,-1,1],[0,4,-4],[0,0,-1]]	$[\begin{array}{c} - 1 & - 2 & - 2 & - 3 \\ - 3 & - 4 & 0 & 0 \end{array}] [\begin{array}{c} - 4 & 0 & 2 \\ 2 & - 1 & 1 \\ 0 & 4 & - 4 \\ 0 & 0 & - 1 \end{array}]$
228263	Solve the Absolute Value Inequality for x	\|x-6\|+7>=-1	$\| x - 6 \| + 7 \geq - 1$
228264	Simplify	( fifth root of m)÷( cube root of m^2)	$\sqrt[5]{m} \div \sqrt[3]{m^{2}}$
228265	Simplify	(3a)÷(a^-2)+a^2*a-(6a^-1)/(2a^-4)	$3 a \div a^{- 2} + a^{2} \cdot a - \frac{6 a^{- 1}}{2 a^{- 4}}$
228266	Solve the Inequality for x	6x^2-6<=5x	$6 x^{2} - 6 \leq 5 x$
228267	Solve for x	3x^2-5=-8x-10	$3 x^{2} - 5 = - 8 x - 10$
228268	Solve the Inequality for x	\|x-1/2\|<5	$\| x - \frac{1}{2} \| < 5$
228269	Subtract	7 fourth root of 3x- fourth root of 48x	$7 \sqrt[4]{3 x} - \sqrt[4]{48 x}$
228270	Simplify	sin(2arcsin(1/2)-arctan(( square root of 3)/3))	$\sin (2 \arcsin (\frac{1}{2}) - \arctan (\frac{\sqrt{3}}{3}))$
228271	Solve for x	\|1+7x\|+3=0	$\| 1 + 7 x \| + 3 = 0$
228272	Simplify	square root of 3x+ square root of 12+(x+5)/( square root of 3)	$\sqrt{3} x + \sqrt{12} + \frac{x + 5}{\sqrt{3}}$
228273	Simplify	((4x^3y^2)(3x^6y^3))/(24x^11y^2)	$\frac{(4 x^{3} y^{2}) (3 x^{6} y^{3})}{24 x^{11} y^{2}}$
228274	Solve the Inequality for m	m/8>1	$\frac{m}{8} > 1$
228275	Divide	(2x^11-5x^7-10x^6)÷2x^3	$(2 x^{11} - 5 x^{7} - 10 x^{6}) \div 2 x^{3}$
228276	Solve the Inequality for x	-2(x-3)+6x+4>=4x+6	$- 2 (x - 3) + 6 x + 4 \geq 4 x + 6$
228277	Graph	(infinity,negative infinity)	$(\infty, - \infty)$
228278	Determine if Dependent, Independent, or Inconsistent	3x-4y=13 y=-3x-7	$3 x - 4 y = 13$ $y = - 3 x - 7$
228279	Divide Using Synthetic Division	x^3+2x^2+7 by x+3	$x^{3} + 2 x^{2} + 7$ by $x + 3$
228280	Multiply	square root of -1* square root of -1	$\sqrt{- 1} \cdot \sqrt{- 1}$
228281	Graph	f(x,y) = square root of x^2+y^2-4	$f (x, y) = \sqrt{x^{2} + y^{2} - 4}$
228282	Simplify	(-6-4i)/(-5i)	$\frac{- 6 - 4 i}{- 5 i}$
228283	Simplify	3b square root of 7-b square root of 7+b square root of 7	$3 b \sqrt{7} - b \sqrt{7} + b \sqrt{7}$
228284	Solve the Rational Equation for x	(x+6)^(1/2)=x	${(x + 6)}^{\frac{1}{2}} = x$
228285	Simplify	((2a^2-25a+72)/(4a^2-22a+18))÷((8a+8)/(2a-2))	$\frac{2 a^{2} - 25 a + 72}{4 a^{2} - 22 a + 18} \div \frac{8 a + 8}{2 a - 2}$
228286	Simplify the Radical Expression	( cube root of 4x^3)^3	${(\sqrt[3]{4 x^{3}})}^{3}$
228287	Find the Product	x/(x-3)*(2x)/(x+5)	$\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}$
228288	Simplify	(-15-35z)/-10	$\frac{- 15 - 35 z}{- 10}$
228289	Evaluate	(3x)/((3x)^2+1)	$\frac{3 x}{{(3 x)}^{2} + 1}$
228290	Find the LCM	5 and 2	$5$ and $2$
228291	Describe the Transformation	f(x) = square root of x , g(x) = square root of x+1+8	$f (x) = \sqrt{x}$ , $g (x) = \sqrt{x + 1} + 8$
228292	Solve for x	(2x-3)^2-8=0	${(2 x - 3)}^{2} - 8 = 0$
228293	Find All Complex Solutions	2^x+2^(5-x)=12	$2^{x} + 2^{5 - x} = 12$
228294	Simplify	(4x^2+2x+2)+(5x^2-2-x)	$(4 x^{2} + 2 x + 2) + (5 x^{2} - 2 - x)$
228295	Simplify the Radical Expression	( square root of 5- square root of 3)^2	${(\sqrt{5} - \sqrt{3})}^{2}$
228296	Evaluate	3/(x^2+4x+4)=3/(x^2+8)	$\frac{3}{x^{2} + 4 x + 4} = \frac{3}{x^{2} + 8}$
228297	Solve for y	-14+6x+7-2y=1	$- 14 + 6 x + 7 - 2 y = 1$
228298	Simplify	-4^2x^-1y^2z^3	$- 4^{2} x^{- 1} y^{2} z^{3}$
228299	Multiply	1/33/52 1/4	$\frac{1}{3} \cdot \frac{3}{5} \cdot 2 \frac{1}{4}$
228300	Solve for x	9(x-3)-8x>=-3	$9 (x - 3) - 8 x \geq - 3$