Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212301	Find the Roots (Zeros)	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
212302	Find the Domain and Range	1/(x^2+64)+4	$\frac{1}{x^{2} + 64} + 4$
212303	Solve for y	2x+y-4=0	$2 x + y - 4 = 0$
212304	Evaluate	9x-71>3(3x-7u)	$9 x - 71 > 3 (3 x - 7 u)$
212305	Simplify	(3x^2)/(x^2-25)-x/(x+5)+2/(x-5)	$\frac{3 x^{2}}{x^{2} - 25} - \frac{x}{x + 5} + \frac{2}{x - 5}$
212306	Solve for x	5x+12^x=5x+7	$5 x + 12^{x} = 5 x + 7$
212307	Solve for x	x+3+7=5(x-4)	$x + 3 + 7 = 5 (x - 4)$
212308	Solve for x	1/2 natural log of x+17 = natural log of x^2-9- natural log of x+3	$\frac{1}{2} \ln (x + 17) = \ln (x^{2} - 9) - \ln (x + 3)$
212309	Solve for y	(3y+9)/(3y-1)+(2y-13)/(2y+5)=2	$\frac{3 y + 9}{3 y - 1} + \frac{2 y - 13}{2 y + 5} = 2$
212310	Solve for b	-5(2b+1)=-11b	$- 5 (2 b + 1) = - 11 b$
212311	Factor	16a^6b^7c-12a^5b^2c^3+20a^3b^10	$16 a^{6} b^{7} c - 12 a^{5} b^{2} c^{3} + 20 a^{3} b^{10}$
212312	Write in Standard Form	x=-3y+7	$x = - 3 y + 7$
212313	Simplify	(6x^-1y)/( square root of 25x^3y^3)	$\frac{6 x^{- 1} y}{\sqrt{25 x^{3} y^{3}}}$
212314	Solve the Inequality for x	(3x+2)/(x-4)<=7	$\frac{3 x + 2}{x - 4} \leq 7$
212315	Simplify the Radical Expression	( square root of 4)/( square root of 3)	$\frac{\sqrt{4}}{\sqrt{3}}$
212316	Solve for x	(6cos(x)-5sin(x))^2+11sin(x)^2=36	${(6 \cos (x) - 5 \sin (x))}^{2} + 11 \sin^{2} (x) = 36$
212317	Subtract	(10x^4-4x^3-7x^2+5x+9)-(2x^4-5x^3-4x^2+9x+3)	$(10 x^{4} - 4 x^{3} - 7 x^{2} + 5 x + 9) - (2 x^{4} - 5 x^{3} - 4 x^{2} + 9 x + 3)$
212318	Solve for Y	-17Y+5=5Y-17	$- 17 Y + 5 = 5 Y - 17$
212319	Simplify the Radical Expression	15i*4i	$15 i \cdot 4 i$
212320	Evaluate	(6 square root of 5- square root of 125)* square root of 45	$(6 \sqrt{5} - \sqrt{125}) \cdot \sqrt{45}$
212321	Graph	y<((-x+4)(x+1))/(x+1)	$y < \frac{(- x + 4) (x + 1)}{x + 1}$
212322	Find All Complex Solutions	log base 3 of x* log base 2 of 3=5	$\log_{3} (x) \cdot \log_{2} (3) = 5$
212323	Find the Degree, Leading Term, and Leading Coefficient	-1/6x+10	$- \frac{1}{6} x + 10$
212324	Simplify	((b^(3/2))/(b^(2/3)))	$(\frac{b^{\frac{3}{2}}}{b^{\frac{2}{3}}})$
212325	Solve the Inequality for m	3m-7<2	$3 m - 7 < 2$
212326	Simplify	(2a+b-c-d)+(4a-3b-2c+5d)	$(2 a + b - c - d) + (4 a - 3 b - 2 c + 5 d)$
212327	Solve for x	log base 4 of 1/64=2x-6	$\log_{4} (\frac{1}{64}) = 2 x - 6$
212328	Write in Standard Form	(x^2-2x-3)(2x^2+4x-5)	$(x^{2} - 2 x - 3) (2 x^{2} + 4 x - 5)$
212329	Rationalize the Denominator	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$
212330	Solve the Inequality for b	3b-6>=15+24b	$3 b - 6 \geq 15 + 24 b$
212331	Solve for x	2/3(1+x)=-1/2x	$\frac{2}{3} (1 + x) = - \frac{1}{2} x$
212332	Simplify	(5+2^3)^2-5^2	${(5 + 2^{3})}^{2} - 5^{2}$
212333	Graph	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
212334	Convert to a Decimal	sin(765)deg	$\sin (765)$ degrees
212335	Solve the Inequality for x	x+3<=2(x-4)	$x + 3 \leq 2 (x - 4)$
212336	Evaluate	log base 2 of 4x-3 = log base 2 of 3+ log base 2 of x	$\log_{2} (4 x) - 3 = \log_{2} (3) + \log_{2} (x)$
212337	Simplify	x+y+x^2y+xy^2-x^3-y^3	$x + y + x^{2} y + x y^{2} - x^{3} - y^{3}$
212338	Simplify	6*4-4+8÷4	$6 \cdot 4 - 4 + 8 \div 4$
212339	Solve the Inequality for p	-18<-2p<=12	$- 18 < - 2 p \leq 12$
212340	Simplify	((2xy^2)^2)/(4(x^2y^3)^2)	$\frac{{(2 x y^{2})}^{2}}{4 {(x^{2} y^{3})}^{2}}$
212341	Solve for x	20-4=32x	$20 - 4 = 32 x$
212342	Simplify	(8n^2-2n^3)+(6n^3-8n^2)	$(8 n^{2} - 2 n^{3}) + (6 n^{3} - 8 n^{2})$
212343	Simplify	sixth root of 6^5* sixth root of 6	$\sqrt[6]{6^{5}} \cdot \sqrt[6]{6}$
212344	Simplify the Radical Expression	1/(2+ square root of 3)	$\frac{1}{2 + \sqrt{3}}$
212345	Simplify	fourth root of (3a)/(16b^8)	$\sqrt[4]{\frac{3 a}{16 b^{8}}}$
212346	Solve Using the Quadratic Formula	(x^2-1)/2-11x=11	$\frac{x^{2} - 1}{2} - 11 x = 11$
212347	Find the Roots (Zeros)	y=(x^2-25)/(x^2+5x+5)	$y = \frac{x^{2} - 25}{x^{2} + 5 x + 5}$
212348	Solve the Rational Equation for x	(4x/2)(4x/5)=4^14	$(4 \frac{x}{2}) (4 \frac{x}{5}) = 4^{14}$
212349	Simplify	3/(x^2-4)+1/(x+2)	$\frac{3}{x^{2} - 4} + \frac{1}{x + 2}$
212350	Simplify	e^(- natural log of \|x\|)	$e^{- \ln (\| x \|)}$
212351	Find the Domain and Range	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
212352	Factor	x^2y+8y+7x^2+56	$x^{2} y + 8 y + 7 x^{2} + 56$
212353	Solve the Rational Equation for x	(x-2)^(2/3)=9	${(x - 2)}^{\frac{2}{3}} = 9$
212354	Describe the Transformation	y = cube root of -8x-4	$y = \sqrt[3]{- 8 x - 4}$
212355	Solve for c	cube root of c=2	$\sqrt[3]{c} = 2$
212356	Graph Using a Table of Values	y=3*2^(x-2)+2	$y = 3 \cdot 2^{x - 2} + 2$
212357	Solve by Substitution	-3x-3y=3 and y=-5x-17	$- 3 x - 3 y = 3$ and $y = - 5 x - 17$
212358	Solve for x	2* log base 2 of 3x-7=10	$2 \cdot \log_{2} (3 x - 7) = 10$
212359	Solve for x	2^(x^2+x+0.5)=4 square root of 2	$2^{x^{2} + x + 0.5} = 4 \sqrt{2}$
212360	Solve for x	square root of (x+1)^2=x+1	$\sqrt{{(x + 1)}^{2}} = x + 1$
212361	Simplify	((ab^2)^3)/(ab)	$\frac{{(a b^{2})}^{3}}{a b}$
212362	Simplify	cube root of x^2* square root of x	$\sqrt[3]{x^{2}} \cdot \sqrt{x}$
212363	Find the Degree	7p^5-p/10+p^4	$7 p^{5} - \frac{p}{10} + p^{4}$
212364	Evaluate	(3.100079.4410.0301)÷2.31	$3.10007 \times 9.441 \times 0.0301 \div 2.31$
212365	Solve for x	10/((x-5)(x+1))+x/(x+1)=3/(x-5)	$\frac{10}{(x - 5) (x + 1)} + \frac{x}{x + 1} = \frac{3}{x - 5}$
212366	Simplify	(2x^0y)(-3xy^5)	$(2 x^{0} y) (- 3 x y^{5})$
212367	Simplify	( square root of 1/2)( square root of 3/5)	$(\sqrt{\frac{1}{2}}) (\sqrt{\frac{3}{5}})$
212368	Simplify	(xy)/( cube root of z)	$\frac{x y}{\sqrt[3]{z}}$
212369	Simplify	(3k^3)/( square root of 18k)	$\frac{3 k^{3}}{\sqrt{18 k}}$
212370	Solve for x	-2x-5=2-4x-(x-1)	$- 2 x - 5 = 2 - 4 x - (x - 1)$
212371	Simplify the Radical Expression	( square root of a+1-2)/( square root of a+1+2)	$\frac{\sqrt{a + 1} - 2}{\sqrt{a + 1} + 2}$
212372	Solve for k	cube root of 5x^(k+1)* cube root of 25x^k=5x^7	$\sqrt[3]{5 x^{k + 1}} \cdot \sqrt[3]{25 x^{k}} = 5 x^{7}$
212373	Simplify	3i(2+5i)+(6-7i)-(9+i)	$3 i (2 + 5 i) + (6 - 7 i) - (9 + i)$
212374	Solve for r	e=v+ir	$e = v + i r$
212375	Multiply	(6a^2)/(5b^2)*(45b^3)/(18a^3)	$\frac{6 a^{2}}{5 b^{2}} \cdot \frac{45 b^{3}}{18 a^{3}}$
212376	Evaluate	sin(theta)>0	$\sin (θ) > 0$
212377	Simplify	((a^3-27)/(a^2-9))/((a^2+3a+9)/(a+3))	$\frac{\frac{a^{3} - 27}{a^{2} - 9}}{\frac{a^{2} + 3 a + 9}{a + 3}}$
212378	Simplify	x+12+x+12+14	$x + 12 + x + 12 + 14$
212379	Solve for x	7x+(3x)/2=-17	$7 x + \frac{3 x}{2} = - 17$
212380	Convert to Radical Form	(27/125)^(-1/3)	${(\frac{27}{125})}^{- \frac{1}{3}}$
212381	Solve the Inequality for x	y>x+3	$y > x + 3$
212382	Simplify	2sin(17 degrees )cos(17 degrees )	$2 \sin (17 °) \cos (17 °)$
212383	Solve the System of Equations	y=3x^2-1 y=2x^2+3x+3	$y = 3 x^{2} - 1$ $y = 2 x^{2} + 3 x + 3$
212384	Evaluate	5÷5+1+6÷6	$5 \div 5 + 1 + 6 \div 6$
212385	Multiply	1/2*( square root of 2)/2	$\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$
212386	Solve the Rational Equation for x	x+ square root of x^2+3=3x	$x + \sqrt{x^{2} + 3} = 3 x$
212387	Divide	(40m^3n^4-24m^2n^7)/(8m^2n^5)	$\frac{40 m^{3} n^{4} - 24 m^{2} n^{7}}{8 m^{2} n^{5}}$
212388	Solve for x	x/(x-4)-4/(x+5)=36/((x-4)(x+5))	$\frac{x}{x - 4} - \frac{4}{x + 5} = \frac{36}{(x - 4) (x + 5)}$
212389	Solve for y	-3y+1/2x=-6	$- 3 y + \frac{1}{2} x = - 6$
212390	Solve for x	2x = square root of 100-12x-2	$2 x = \sqrt{100 - 12 x} - 2$
212391	Solve for x	x^2+3x+2x+6=0	$x^{2} + 3 x + 2 x + 6 = 0$
212392	Solve the Inequality for w	3>=(9-w)/3>1	$3 \geq \frac{9 - w}{3} > 1$
212393	Evaluate	1/3x+3/4+2/3x-1/4-2/3x	$\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$
212394	Simplify	-5x^2+7x+1 from 8x^2+x-10	$- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
212395	Solve the Rational Equation for x	3 square root of x+3=15	$3 \sqrt{x} + 3 = 15$
212396	Simplify	(3m^-4)/(n^-8)	$\frac{3 m^{- 4}}{n^{- 8}}$
212397	Find the Second Term	a_n=((n+1)!)/(n+1)	$a_{n} = \frac{(n + 1)!}{n + 1}$
212398	Simplify	1/4(3c^4d^9)(8d)	$\frac{1}{4} (3 c^{4} d^{9}) (8 d)$
212399	Solve for x	2 log of (2x)^4=16	$2 \log ({(2 x)}^{4}) = 16$
212400	Simplify	(a^6b^(1/2))^6 sixth root of b^6	${(a^{6} b^{\frac{1}{2}})}^{6} \sqrt[6]{b^{6}}$