Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211201	Simplify	-2/(6- square root of 6)	$\frac{- 2}{6 - \sqrt{6}}$
211202	Write in Standard Form	x^3-11x^2	$x^{3} - 11 x^{2}$
211203	Evaluate	2(2a-5)-(a-3)	$2 (2 a - 5) - (a - 3)$
211204	Convert to Logarithmic Form	y=(1/3)^x	$y = {(\frac{1}{3})}^{x}$
211205	Evaluate	-1/7 square root of 147	$- \frac{1}{7} \sqrt{147}$
211206	Solve for v	v^2=-18v	$v^{2} = - 18 v$
211207	Solve for w	6480=5w^4	$6480 = 5 w^{4}$
211208	Evaluate	3(12-5)+2*3	$3 (12 - 5) + 2 \cdot 3$
211209	Solve the Inequality for x	7/3-1/2x>=7/6+x	$\frac{7}{3} - \frac{1}{2} x \geq \frac{7}{6} + x$
211210	Simplify the Radical Expression	6 square root of 45y^2-4 square root of 20y^2	$6 \sqrt{45 y^{2}} - 4 \sqrt{20 y^{2}}$
211211	Simplify	-10 cube root of 2(-4)	$- 10 \sqrt[3]{2 (- 4)}$
211212	Simplify	fourth root of 3x^2* fourth root of 27x^3	$\sqrt[4]{3 x^{2}} \cdot \sqrt[4]{27 x^{3}}$
211213	Evaluate	1/2+8/(1/2-1)	$\frac{1}{2} + \frac{8}{\frac{1}{2} - 1}$
211214	Combine Like Terms	9+7y-2-5y	$9 + 7 y - 2 - 5 y$
211215	Simplify	((w^(1/6))/(w^(-2/3)))^2	${(\frac{w^{\frac{1}{6}}}{w^{- \frac{2}{3}}})}^{2}$
211216	Simplify	2^4-24÷3+1	$2^{4} - 24 \div 3 + 1$
211217	Solve for v	-4v+13v+5=6v+32	$- 4 v + 13 v + 5 = 6 v + 32$
211218	Simplify	x cube root of 4* fourth root of 4	$x \sqrt[3]{4} \cdot \sqrt[4]{4}$
211219	Simplify	(2x)/(3x+3)-2/(x+5)	$\frac{2 x}{3 x + 3} - \frac{2}{x + 5}$
211220	Solve for x	(2x-3)^(1/2)+2=2	${(2 x - 3)}^{\frac{1}{2}} + 2 = 2$
211221	Solve for n	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
211222	Solve for x	cube root of x^3-3x^2+2=x-1	$\sqrt[3]{x^{3} - 3 x^{2} + 2} = x - 1$
211223	Multiply	-5(2c^2-d^2)	$- 5 (2 c^{2} - d^{2})$
211224	Solve the Rational Equation for x	(x^2+1)/(x-1)+x=2+2/(x-1)	$\frac{x^{2} + 1}{x - 1} + x = 2 + \frac{2}{x - 1}$
211225	Evaluate	log base 2 of 1/64+ log base 2 of 2 square root of 2- log base 3 of 1/81	$\log_{2} (\frac{1}{64}) + \log_{2} (2 \sqrt{2}) - \log_{3} (\frac{1}{81})$
211226	Solve for x	square root of x+1+1 = square root of x+3	$\sqrt{x + 1} + 1 = \sqrt{x + 3}$
211227	Simplify	(a(b-2))/(5(b-2))	$\frac{a (b - 2)}{5 (b - 2)}$
211228	Simplify	((x^2y^5)^3)/((xy^2)^4)	$\frac{{(x^{2} y^{5})}^{3}}{{(x y^{2})}^{4}}$
211229	Solve for x	6/(5x)+2/9=-1	$\frac{6}{5 x} + \frac{2}{9} = - 1$
211230	Find All Complex Solutions	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
211231	Simplify	m-n-(n^2)/(m+n)	$m - n - \frac{n^{2}}{m + n}$
211232	Evaluate	(a^5b^10)/(a^3b^3)	$\frac{a^{5} b^{10}}{a^{3} b^{3}}$
211233	Simplify	(2x+3)(2x-1)(x+2)(x+2)	$(2 x + 3) (2 x - 1) (x + 2) (x + 2)$
211234	Graph	Graph -9x+5y=45	Graph $- 9 x + 5 y = 45$
211235	Solve the Rational Equation for x	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
211236	Subtract	(-3x+x^3-2x^2)-(4x^3-2x^2-4x)	$(- 3 x + x^{3} - 2 x^{2}) - (4 x^{3} - 2 x^{2} - 4 x)$
211237	Solve for x	2/5(-3.6-x)=5	$\frac{2}{5} (- 3.6 - x) = 5$
211238	Graph	y<=3x+1 2x+y<=-3	$y \leq 3 x + 1$ $2 x + y \leq - 3$
211239	Find the Domain and Range	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
211240	Solve for C	A+B+C=180	$A + B + C = 180$
211241	Find the Domain and Range	f(x)=3 cube root of x-2	$f (x) = 3 \sqrt[3]{x - 2}$
211242	Evaluate	sin(x)^2-1=0	$\sin^{2} (x) - 1 = 0$
211243	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+20x^2+11x+2 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 20 x^{2} + 11 x + 2$ is divided by $3 x + 2$
211244	Solve for x	(x+17)/(x+8)=(x+8)/x	$\frac{x + 17}{x + 8} = \frac{x + 8}{x}$
211245	Simplify	(3x^-3y^3)/(9x^2(y^-3)^2)	$\frac{3 x^{- 3} y^{3}}{9 x^{2} {(y^{- 3})}^{2}}$
211246	Solve for x	3x+30+x=10+2x+5x+2	$3 x + 30 + x = 10 + 2 x + 5 x + 2$
211247	Multiply	-3/5(-1 1/3)	$- \frac{3}{5} (- 1 \frac{1}{3})$
211248	Simplify	cube root of (7x^2)/(15yz^2)	$\sqrt[3]{\frac{7 x^{2}}{15 y z^{2}}}$
211249	Find the Roots (Zeros)	square root of 2x-1-x+2=0	$\sqrt{2 x - 1} - x + 2 = 0$
211250	Write in Standard Form	(3y-5)(2y-7)(4y+1)	$(3 y - 5) (2 y - 7) (4 y + 1)$
211251	Solve for x	(3x+25)/(x+7)-5=3/x	$\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}$
211252	Solve for x	(4x^3-9x)/(x+1.5)=0	$\frac{4 x^{3} - 9 x}{x + 1.5} = 0$
211253	Solve the Inequality for y	3y+6<=2y	$3 y + 6 \leq 2 y$
211254	Solve for x	y=g square root of x+h	$y = g \sqrt{x} + h$
211255	Simplify	i^9i^25i^12*i^16	$i^{9} \cdot i^{25} \cdot i^{12} \cdot i^{16}$
211256	Solve for x	square root of 19x+17=2x+4	$\sqrt{19 x + 17} = 2 x + 4$
211257	Simplify	8/(2 square root of 2)	$\frac{8}{2 \sqrt{2}}$
211258	Simplify	(2x^2y^3)(-5x^-2y^7)	$(2 x^{2} y^{3}) (- 5 x^{- 2} y^{7})$
211259	Simplify	square root of 4x^6* cube root of 8x^2	$\sqrt{4 x^{6}} \cdot \sqrt[3]{8 x^{2}}$
211260	Graph	f(x)=-1/5 square root of x-1-4	$f (x) = - \frac{1}{5} \sqrt{x - 1} - 4$
211261	Simplify	(4x)/7*(10x)/7	$\frac{4 x}{7} \cdot \frac{10 x}{7}$
211262	Solve for x	(x-5)^2+4=0	${(x - 5)}^{2} + 4 = 0$
211263	Solve for x	square root of 4x+5+1=3	$\sqrt{4 x + 5} + 1 = 3$
211264	Write in Standard Form	4x+2x^2-7+x^3	$4 x + 2 x^{2} - 7 + x^{3}$
211265	Solve for x	x/a+x/b=1	$\frac{x}{a} + \frac{x}{b} = 1$
211266	Multiply	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
211267	Solve for x	4^x+6(4^(-x))=5	$4^{x} + 6 (4^{- x}) = 5$
211268	Solve the Inequality for p	p/9-1<=-2	$\frac{p}{9} - 1 \leq - 2$
211269	Solve for a	A=(a+b)/2*h	$A = \frac{a + b}{2} \cdot h$
211270	Expand the Logarithmic Expression	Expand log of (3x)/(2y)	Expand $\log (\frac{3 x}{2 y})$
211271	Solve for x	(x+5)/(x+4)-(2x+1)/(x+8)=3/(x+4)	$\frac{x + 5}{x + 4} - \frac{2 x + 1}{x + 8} = \frac{3}{x + 4}$
211272	Rationalize the Denominator	(5+ fourth root of x)/( fourth root of x)	$\frac{5 + \sqrt[4]{x}}{\sqrt[4]{x}}$
211273	Find the Roots (Zeros)	9x(x+8)	$9 x (x + 8)$
211274	Simplify	-1.2+(-3/5)	$- 1.2 + (- \frac{3}{5})$
211275	Determine if Linear	4(x-3)+8x=y	$4 (x - 3) + 8 x = y$
211276	Solve for x	square root of 5x^2+7x-2=x square root of 5	$\sqrt{5 x^{2} + 7 x - 2} = x \sqrt{5}$
211277	Simplify	5^(1/4)+6(405^(1/4))	$5^{\frac{1}{4}} + 6 (405^{\frac{1}{4}})$
211278	Solve the System of Equations	y=x+5 x-y=2	$y = x + 5$ $x - y = 2$
211279	Simplify	fourth root of 11*4 square root of 10	$\sqrt[4]{11} \cdot 4 \sqrt{10}$
211280	Graph	y=x-5 2x+5y=10	$y = x - 5$ $2 x + 5 y = 10$
211281	Simplify	(45p^5q^4-60p^3q^2-15p^2q^3)/(15p^2q^3)	$\frac{45 p^{5} q^{4} - 60 p^{3} q^{2} - 15 p^{2} q^{3}}{15 p^{2} q^{3}}$
211282	Solve for x	y=4 fourth root of x	$y = 4 \sqrt[4]{x}$
211283	Factor	ac(a+c)+ab(a-b)-bc(b+c)	$a c (a + c) + a b (a - b) - b c (b + c)$
211284	Factor	5*(a+3)^2-(a+3)	$5 \cdot {(a + 3)}^{2} - (a + 3)$
211285	Multiply	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
211286	Solve for m	100 1/5-10 4/5m=57	$100 \frac{1}{5} - 10 \frac{4}{5} m = 57$
211287	Solve for y	y=2(3)(6)+3+6	$y = 2 (3) (6) + 3 + 6$
211288	Solve the System of Equations	2x+3y=6 2y=5-x	$2 x + 3 y = 6$ $2 y = 5 - x$
211289	Evaluate	t=2pi square root of l/32	$t = 2 π \sqrt{\frac{l}{32}}$
211290	Evaluate	log base x of 8=-1/2	$\log_{x} (8) = - \frac{1}{2}$
211291	Simplify the Radical Expression	( cube root of 4)/( cube root of 5)	$\frac{\sqrt[3]{4}}{\sqrt[3]{5}}$
211292	Solve for x	14x+52=130/12	$14 x + 52 = \frac{130}{12}$
211293	Find the Product	(x^6-4)(x^2-7x+5)	$(x^{6} - 4) (x^{2} - 7 x + 5)$
211294	Graph	2y<y+2	$2 y < y + 2$
211295	Solve the Inequality for x	2x^3-3x^2-11x+6>=0	$2 x^{3} - 3 x^{2} - 11 x + 6 \geq 0$
211296	Subtract	(4x+1)/(7x^2)-(1-3x)/(7x^2)	$\frac{4 x + 1}{7 x^{2}} - \frac{1 - 3 x}{7 x^{2}}$
211297	Simplify	34x2y	$3 \cdot 4 x \cdot 2 y$
211298	Solve for a	(p^a)^4*p^3=p^11	${(p^{a})}^{4} \cdot p^{3} = p^{11}$
211299	Multiply	square root of x* cube root of x	$\sqrt{x} \cdot \sqrt[3]{x}$
211300	Convert to a Percentage	45 is what percent of 60	$45$ is what percent of $60$