Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234201	Simplify	(16a^2b^4)^(1/4)	${(16 a^{2} b^{4})}^{\frac{1}{4}}$
234202	Solve the System of Equations	4x^2+y^2=52 xy=12	$4 x^{2} + y^{2} = 52$ $x y = 12$
234203	Find the Domain and Range	f(x) = natural log of -4x+3	$f (x) = \ln (- 4 x) + 3$
234204	Find the Holes in the Graph	(x^2-25)/(2x+10)	$\frac{x^{2} - 25}{2 x + 10}$
234205	Evaluate	(x^-6)/(x*x^-2)	$\frac{x^{- 6}}{x \cdot x^{- 2}}$
234206	Solve for x	1/5((2-x)/2)-3/10(1-x)/2=17/20	$\frac{1}{5} (\frac{2 - x}{2}) - \frac{3}{10} \cdot \frac{1 - x}{2} = \frac{17}{20}$
234207	Simplify	(cot(x)^2+1)(sec(x)^2-1)	$(\cot^{2} (x) + 1) (\sec^{2} (x) - 1)$
234208	Simplify the Radical Expression	( square root of 5x^6)/( square root of 2x^4y^3)	$\frac{\sqrt{5 x^{6}}}{\sqrt{2 x^{4} y^{3}}}$
234209	Solve the Inequality for x	35/(x+7)<=5	$\frac{35}{x + 7} \leq 5$
234210	Simplify the Radical Expression	(32x^30y^-40)^(-2/5)	${(32 x^{30} y^{- 40})}^{- \frac{2}{5}}$
234211	Evaluate	1/12*(2pi)/1	$\frac{1}{12} \cdot \frac{2 π}{1}$
234212	Write in Exponential Form	eighth root of 8^3* eighth root of 8^4	$\sqrt[8]{8^{3}} \cdot \sqrt[8]{8^{4}}$
234213	Solve the System of Equations	-2x+y+2z=12 2x-4y+z=-15 y+4z=6	$- 2 x + y + 2 z = 12$ $2 x - 4 y + z = - 15$ $y + 4 z = 6$
234214	Solve the Absolute Value Inequality for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
234215	Find the x and y Intercepts	f(x)=(2x+4)^2+5	$f (x) = {(2 x + 4)}^{2} + 5$
234216	Evaluate	25% of 96	$25 %$ of $96$
234217	Graph	4z-4-2z>8-6	$4 z - 4 - 2 z > 8 - 6$
234218	Evaluate	5^2(14-8)-2*5	$5^{2} (14 - 8) - 2 \cdot 5$
234219	Simplify	square root of 8* square root of 32	$\sqrt{8 \cdot \sqrt{32}}$
234220	Divide Using Synthetic Division	(4x^4-4x^3-22x^2+x-25)÷(x-3)	$(4 x^{4} - 4 x^{3} - 22 x^{2} + x - 25) \div (x - 3)$
234221	Solve for x	4x^2=-8x-3	$4 x^{2} = - 8 x - 3$
234222	Find the x and y Intercepts	f(x) = natural log of -4x+3	$f (x) = \ln (- 4 x) + 3$
234223	Graph	f(x)=x g(x)=x+5	$f (x) = x$ $g (x) = x + 5$
234224	Solve for a	g^6=(at^4)/b	$g^{6} = \frac{a t^{4}}{b}$
234225	Simplify	i^2+1	$i^{2} + 1$
234226	Solve for x	11/2=3x-2	$\frac{11}{2} = 3 x - 2$
234227	Solve for a	8^(2a-1)=32^(2a+1)	$8^{2 a - 1} = 32^{2 a + 1}$
234228	Find the Roots (Zeros)	x^2+61=-10x	$x^{2} + 61 = - 10 x$
234229	Solve by Graphing	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
234230	Find the LCM	3a , 4a+28	$3 a$ , $4 a + 28$
234231	Simplify	((x^2-xy)/(9y^2))÷((2x)/(3y))	$\frac{x^{2} - x y}{9 y^{2}} \div \frac{2 x}{3 y}$
234232	Solve by Graphing	2x-5y=10 y=-2/5x+2	$2 x - 5 y = 10$ $y = - \frac{2}{5} x + 2$
234233	Solve for x	x/2=x+4	$\frac{x}{2} = x + 4$
234234	Evaluate	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{\sqrt{125} + \sqrt{20} - \sqrt{45}}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
234235	Find the x and y Intercepts	f(x)=(x+6)(x+6)(x^2-6)	$f (x) = (x + 6) (x + 6) (x^{2} - 6)$
234236	Find the Excluded Values	(x^2-25)/(x^2-36)	$\frac{x^{2} - 25}{x^{2} - 36}$
234237	Find the Remainder	7x^3-8x^2+x+1 divided by x+2	$7 x^{3} - 8 x^{2} + x + 1$ divided by $x + 2$
234238	Find the Excluded Values	(x^2-36)/(5x-20)	$\frac{x^{2} - 36}{5 x - 20}$
234239	Divide	(6f^2-13-11f)÷(3f-4)	$(6 f^{2} - 13 - 11 f) \div (3 f - 4)$
234240	Simplify	((7-x)/(7-x)*(x^2-1)/(64-x^2))÷((x^2+3x-4)/(x^2+12x+32))	$\frac{7 - x}{7 - x} \cdot \frac{x^{2} - 1}{64 - x^{2}} \div \frac{x^{2} + 3 x - 4}{x^{2} + 12 x + 32}$
234241	Convert to a Percentage	what percent of 60 is 45	what percent of $60$ is $45$
234242	Write in Standard Form	-14x^4+5x^3+6	$- 14 x^{4} + 5 x^{3} + 6$
234243	Solve for sᵢ	1/f=1/s_o+1/s_i	$\frac{1}{f} = \frac{1}{s_{o}} + \frac{1}{s_{i}}$
234244	Simplify	7*(a+5)-30	$7 \cdot (a + 5) - 30$
234245	Simplify	7 square root of 2+ square root of 3+6 square root of 3+ square root of 2	$7 \sqrt{2} + \sqrt{3} + 6 \sqrt{3} + \sqrt{2}$
234246	Find the Quotient	7x^3-8x^2+x+1 divided by x+2	$7 x^{3} - 8 x^{2} + x + 1$ divided by $x + 2$
234247	Simplify	( cube root of -15)/(5 cube root of 5)	$\frac{\sqrt[3]{- 15}}{5 \sqrt[3]{5}}$
234248	Simplify the Radical Expression	square root of x^2y^3	$\sqrt{x^{2} y^{3}}$
234249	Solve for x	e^(3x)=3-4x	$e^{3 x} = 3 - 4 x$
234250	Simplify the Radical Expression	(8 square root of 5)/(4 square root of 3)	$\frac{8 \sqrt{5}}{4 \sqrt{3}}$
234251	Graph	p(x):3x/2+3\|x-2\|<=3	$p (x) : 3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
234252	Simplify	4-(3x+(2x-(5y+2)))	$4 - (3 x + (2 x - (5 y + 2)))$
234253	Simplify the Radical Expression	square root of 3^5	$\sqrt{3^{5}}$
234254	Simplify	( square root of 10* square root of 21)/( square root of 15)	$\frac{\sqrt{10} \cdot \sqrt{21}}{\sqrt{15}}$
234255	Find the Roots (Zeros)	sin(x)	$\sin (x)$
234256	Simplify	(-9-13x+3x^3)-(-x+4x^3-9)	$(- 9 - 13 x + 3 x^{3}) - (- x + 4 x^{3} - 9)$
234257	Find the Roots (Zeros)	3/x=3/(4x)+3	$\frac{3}{x} = \frac{3}{4 x} + 3$
234258	Solve the Inequality for x	1/8x^2+x<=-2	$\frac{1}{8} x^{2} + x \leq - 2$
234259	Find the Domain and Range	f(x)=(-x)^(1/2)	$f (x) = {(- x)}^{\frac{1}{2}}$
234260	Graph	x<=-2 or x>4	$x \leq - 2$ or $x > 4$
234261	Write in Exponential Form	cube root of 6^5* fourth root of 6^5	$\sqrt[3]{6^{5}} \cdot \sqrt[4]{6^{5}}$
234262	Solve for x	(x^5*x^3)/(x^4)=(x^8)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}} = \frac{x^{8}}{x^{4}}$
234263	Evaluate	(7-3)* square root of 25*2-10	$(7 - 3) \cdot \sqrt{25} \cdot 2 - 10$
234264	Simplify	(2-x square root of 5)^2	${(2 - x \sqrt{5})}^{2}$
234265	Subtract	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
234266	Find the Exact Value	arccos(cos(-pi/7))	$\arccos (\cos (- \frac{π}{7}))$
234267	Simplify	(- square root of 8m)( square root of 6m)	$(- \sqrt{8 m}) (\sqrt{6 m})$
234268	Simplify	(2 square root of -3-4)(3 square root of -2+3)	$(2 \sqrt{- 3} - 4) (3 \sqrt{- 2} + 3)$
234269	Graph	10>=x/3+6	$10 \geq \frac{x}{3} + 6$
234270	Graph	y<=3+1/2x	$y \leq 3 + \frac{1}{2} x$
234271	Find the GCF	340 and 304	$340$ and $304$
234272	Round to the Nearest Hundredth	17/22	$\frac{17}{22}$
234273	Simplify	(3 square root of 5)/( square root of 20)	$\frac{3 \sqrt{5}}{\sqrt{20}}$
234274	Graph	x^3+x+3	$x^{3} + x + 3$
234275	Solve for x	square root of x+3+ square root of x-3=3	$\sqrt{x + 3} + \sqrt{x - 3} = 3$
234276	Find f(g(x))	f(x)=3x^2-4 g(x)=x^2-8x+4	$f (x) = 3 x^{2} - 4$ $g (x) = x^{2} - 8 x + 4$
234277	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x-10+2x^3+4x^2	$f (x) = - 5 x - 10 + 2 x^{3} + 4 x^{2}$
234278	Solve for x	237*2x/2=79	$237 \cdot 2 \frac{x}{2} = 79$
234279	Solve for x	x^x=2^64	$x^{x} = 2^{64}$
234280	Find the Exact Value	sec(-pi/3)^2	$\sec^{2} (- \frac{π}{3})$
234281	Solve for a	3(-9a-21)+11=8(a-1)-9	$3 (- 9 a - 21) + 11 = 8 (a - 1) - 9$
234282	Solve for n	-3(4-2n)=-3(-1-3n)	$- 3 (4 - 2 n) = - 3 (- 1 - 3 n)$
234283	Combine Like Terms	-3(2+6x)+7x	$- 3 (2 + 6 x) + 7 x$
234284	Find the Inverse	f(x)=((x-9)^(1/5)+5)/4	$f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$
234285	Graph	F(x)=(1/2)^(x-1)	$F (x) = {(\frac{1}{2})}^{x - 1}$
234286	Find the Exact Value	sin(30 degrees )cos(45 degrees )+sin(45 degrees )cos(30 degrees )	$\sin (30 °) \cos (45 °) + \sin (45 °) \cos (30 °)$
234287	Graph	y<=-x+2 y<1/2x-1	$y \leq - x + 2$ $y < \frac{1}{2} x - 1$
234288	Graph	f(x)=(-5x-5)/(3x^2+2x-1)	$f (x) = \frac{- 5 x - 5}{3 x^{2} + 2 x - 1}$
234289	Solve the System of Inequalities	-5x+9<-6 or -3x+1>=7	$- 5 x + 9 < - 6$ or $- 3 x + 1 \geq 7$
234290	Find the x and y Intercepts	y+2=-3/2(x-4)	$y + 2 = - \frac{3}{2} (x - 4)$
234291	Evaluate	3+2^-2	$3 + 2^{- 2}$
234292	Multiply	a^4(b^4a^6)	$a^{4} (b^{4} a^{6})$
234293	Write Using Positive Exponents	xy^-2	$x y^{- 2}$
234294	Simplify	( fourth root of 16x^4)/( square root of x)	$\frac{\sqrt[4]{16 x^{4}}}{\sqrt{x}}$
234295	Factor	(4x-3)^2+x2(4x-3)4	${(4 x - 3)}^{2} + x \cdot 2 (4 x - 3) \cdot 4$
234296	Write Using Positive Exponents	(20x^-3c)/((4x^4)^-5)	$\frac{20 x^{- 3} c}{{(4 x^{4})}^{- 5}}$
234297	Solve for r	(m_1v^2)/r=m_2g	$\frac{m_{1} v^{2}}{r} = m_{2} g$
234298	Simplify	(x^(1/2))/(4x^2)	$\frac{x^{\frac{1}{2}}}{4 x^{2}}$
234299	Find the Product	(3/4-5a)(9/16+15/4a+25a^2)	$(\frac{3}{4} - 5 a) (\frac{9}{16} + \frac{15}{4} a + 25 a^{2})$
234300	Simplify	(x^(1/2))^4 cube root of x^3	${(x^{\frac{1}{2}})}^{4} \sqrt[3]{x^{3}}$