Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171201	Solve the Inequality for x	-42>-6x	$- 42 > - 6 x$
171202	Solve the Inequality for x	x^3-25x>=0	$x^{3} - 25 x \geq 0$
171203	Graph	y=-2x+2 y=-2x-2	$y = - 2 x + 2$ $y = - 2 x - 2$
171204	Simplify	(2pi)/1	$\frac{2 π}{1}$
171205	Solve for θ	cos(theta)^2-sin(theta)^2=1+sin(theta)	$\cos^{2} (θ) - \sin^{2} (θ) = 1 + \sin (θ)$
171206	Solve for f	-32-3/5f=-17	$- 32 - \frac{3}{5} f = - 17$
171207	Factor	4z^2-24z-18m+3mz	$4 z^{2} - 24 z - 18 m + 3 m z$
171208	Solve the System of Equations	y=-1 y=-5/2x+4	$y = - 1$ $y = - \frac{5}{2} x + 4$
171209	Evaluate	x/x	$\frac{x}{x}$
171210	Solve the System of Inequalities	-3x+9<=-21 or -3x+9>-27	$- 3 x + 9 \leq - 21$ or $- 3 x + 9 > - 27$
171211	Describe the Transformation	g(x)=3f(x)	$g (x) = 3 f (x)$
171212	Simplify	(-4-4i)/(10-2i)	$\frac{- 4 - 4 i}{10 - 2 i}$
171213	Simplify	square root of (x_2-x_1)^2+(y_2-y_1)^2	$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
171214	Determine if Parallel	3x+2y=6 and y=-3/2x+5	$3 x + 2 y = 6$ and $y = - \frac{3}{2} x + 5$
171215	Solve for x	log of 2x-4- log of x+2=1	$\log (2 x - 4) - \log (x + 2) = 1$
171216	Factor	25e^2-16	$25 e^{2} - 16$
171217	Solve for f	3/8f+1/2=6(1/16f-3)	$\frac{3}{8} f + \frac{1}{2} = 6 (\frac{1}{16} f - 3)$
171218	Solve for x	x^4-4x^2+4=0	$x^{4} - 4 x^{2} + 4 = 0$
171219	Write in Standard Form	x^2=2x-1	$x^{2} = 2 x - 1$
171220	Solve for x	2-2x=3/4x+13	$2 - 2 x = \frac{3}{4} x + 13$
171221	Evaluate the Function	f(-2)=4^-2	$f (- 2) = 4^{- 2}$
171222	Solve for x	24=4(x-7)+8(1-6x)	$24 = 4 (x - 7) + 8 (1 - 6 x)$
171223	Solve the System of Equations	y-2x=5 -3y+6x=-15	$y - 2 x = 5$ $- 3 y + 6 x = - 15$
171224	Simplify	(7+i)/(3-i)	$\frac{7 + i}{3 - i}$
171225	Solve for x	3/4(48-16x)=4(4+2x)	$\frac{3}{4} (48 - 16 x) = 4 (4 + 2 x)$
171226	Solve for y	5(2y+1)=4y+10	$5 (2 y + 1) = 4 y + 10$
171227	Evaluate the Function	f(4) = square root of 4	$f (4) = \sqrt{4}$
171228	Solve the Inequality for x	x^3-2x^2-4x+8<0	$x^{3} - 2 x^{2} - 4 x + 8 < 0$
171229	Simplify	(x/9-1/3)/(1/(x^2)-1/9)	$\frac{\frac{x}{9} - \frac{1}{3}}{\frac{1}{x^{2}} - \frac{1}{9}}$
171230	Graph	y=-1/2 square root of x	$y = - \frac{1}{2} \sqrt{x}$
171231	Solve for x	20-9x=x+10x	$20 - 9 x = x + 10 x$
171232	Graph	10>=3p-2p-7	$10 \geq 3 p - 2 p - 7$
171233	Evaluate	log base x of 64=3	$\log_{x} (64) = 3$
171234	Simplify	( square root of -2)( square root of -24)	$(\sqrt{- 2}) (\sqrt{- 24})$
171235	Find All Complex Solutions	-4(x+5)=-4x-20	$- 4 (x + 5) = - 4 x - 20$
171236	Evaluate	(1+1/10)^10	${(1 + \frac{1}{10})}^{10}$
171237	Solve for x	(-6(x-3))/4=x+5	$\frac{- 6 (x - 3)}{4} = x + 5$
171238	Solve for S	S=2pir(r+h)	$S = 2 π r (r + h)$
171239	Divide	3 1/2÷(1/2)	$3 \frac{1}{2} \div \frac{1}{2}$
171240	Simplify	7^(3/5)*7^(1/5)	$7^{\frac{3}{5}} \cdot 7^{\frac{1}{5}}$
171241	Solve for n	m=n/(2-n)	$m = \frac{n}{2 - n}$
171242	Solve the Inequality for x	15>=-3x	$15 \geq - 3 x$
171243	Solve the Inequality for x	3x+15>=0	$3 x + 15 \geq 0$
171244	Solve for c	4=\|c/2\|	$4 = \| \frac{c}{2} \|$
171245	Solve for x	(6x+8)/2-4=3x	$\frac{6 x + 8}{2} - 4 = 3 x$
171246	Graph	f(x)=2(x+3)(x^2-1)	$f (x) = 2 (x + 3) (x^{2} - 1)$
171247	Subtract	(2k^3+6k+1)-(2k^2+1)	$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$
171248	Solve for x	9(2-3x)-29=8x-(x-23)	$9 (2 - 3 x) - 29 = 8 x - (x - 23)$
171249	Convert to Polar	x^2+y^2=49	$x^{2} + y^{2} = 49$
171250	Multiply	-3/4*-2	$- \frac{3}{4} \cdot - 2$
171251	Simplify	((10xy^2)/(3z))÷((5xy)/(6z^3))	$\frac{10 x y^{2}}{3 z} \div \frac{5 x y}{6 z^{3}}$
171252	Simplify	(3x^2+3)-(6x+4)+(3x^2-5x)	$(3 x^{2} + 3) - (6 x + 4) + (3 x^{2} - 5 x)$
171253	Solve for x	e^(2x)=1	$e^{2 x} = 1$
171254	Solve for x	-3+5+6x=11-3x	$- 3 + 5 + 6 x = 11 - 3 x$
171255	Find All Complex Solutions	-11x^2=x+11	$- 11 x^{2} = x + 11$
171256	Simplify	(4c^3b^4)/(2(cb^-3)^-5)	$\frac{4 c^{3} b^{4}}{2 {(c b^{- 3})}^{- 5}}$
171257	Solve for a	5/8-5/8a=7/8	$\frac{5}{8} - \frac{5}{8} a = \frac{7}{8}$
171258	Graph Using a Table of Values	f(x)=x/(x+1)	$f (x) = \frac{x}{x + 1}$
171259	Simplify	6/(x^2)+(2x)/(x^2+3)	$\frac{6}{x^{2}} + \frac{2 x}{x^{2} + 3}$
171260	Simplify	(2x)/(x^2-9)-3/(x-3)	$\frac{2 x}{x^{2} - 9} - \frac{3}{x - 3}$
171261	Solve for x	13/x=2/(2-x)	$\frac{13}{x} = \frac{2}{2 - x}$
171262	Simplify	(4 square root of 81)(4 square root of -64)	$(4 \sqrt{81}) (4 \sqrt{- 64})$
171263	Factor	(x^2-1)/(x+1)	$\frac{x^{2} - 1}{x + 1}$
171264	Solve the Inequality for P	2(P+1)+3(P+2)>2	$2 (P + 1) + 3 (P + 2) > 2$
171265	Simplify	1/3-1/2	$\frac{1}{3} - \frac{1}{2}$
171266	Solve by Substitution	x-6y=22 x=-5y	$x - 6 y = 22$ $x = - 5 y$
171267	Simplify	(5+i)/(4-i)	$\frac{5 + i}{4 - i}$
171268	Solve the Inequality for x	(2(x+3))/-5<=-x	$\frac{2 (x + 3)}{- 5} \leq - x$
171269	Solve for x	6-3(x+1)=-4x+2(1-x)	$6 - 3 (x + 1) = - 4 x + 2 (1 - x)$
171270	Write in Exponential Form	log base (x-4) of x=3	$\log_{(x - 4)} (x) = 3$
171271	Find the Holes in the Graph	f(x)=(x^2-25)/(2x+10)	$f (x) = \frac{x^{2} - 25}{2 x + 10}$
171272	Simplify	(-5(u)^2)/(10u^-7)	$\frac{- 5 {(u)}^{2}}{10 u^{- 7}}$
171273	Solve for x	log of 2x- log of 5 = log of 30	$\log (2 x) - \log (5) = \log (30)$
171274	Convert to Polar	x^2+(y-3)^2=9	$x^{2} + {(y - 3)}^{2} = 9$
171275	Solve for n	A=(180(n-2))/n	$A = \frac{180 (n - 2)}{n}$
171276	Solve by Substitution	2x-y=39 -6y=x	$2 x - y = 39$ $- 6 y = x$
171277	Solve for v	5(v+1)-v=3(v-1)+7	$5 (v + 1) - v = 3 (v - 1) + 7$
171278	Graph	x(x-6)<0	$x (x - 6) < 0$
171279	Graph	y>=3-x	$y \geq 3 - x$
171280	Evaluate the Function	f(-1)=1	$f (- 1) = 1$
171281	Solve for x	x+1+2yi=3-6i	$x + 1 + 2 y i = 3 - 6 i$
171282	Solve for x	1/x+1/(3x)=4	$\frac{1}{x} + \frac{1}{3 x} = 4$
171283	Find the Holes in the Graph	f(x)=(3x^2-22x+7)/(2x-14)	$f (x) = \frac{3 x^{2} - 22 x + 7}{2 x - 14}$
171284	Solve for a	1/8+1/8a=-1/4	$\frac{1}{8} + \frac{1}{8} a = - \frac{1}{4}$
171285	Evaluate	pi/(2/4)	$\frac{π}{\frac{2}{4}}$
171286	Combine Like Terms	-6x^2+7x+4x^2-3x-3y-2x+4x^2	$- 6 x^{2} + 7 x + 4 x^{2} - 3 x - 3 y - 2 x + 4 x^{2}$
171287	Simplify	(32 cube root of 18y)÷8 cube root of 3y	$32 \sqrt[3]{18 y} \div 8 \sqrt[3]{3 y}$
171288	Factor	wv-9v+wk-9k	$w v - 9 v + wk - 9 k$
171289	Divide	7 1/2÷3 1/8	$7 \frac{1}{2} \div 3 \frac{1}{8}$
171290	Graph	6x-3y=-9 and 2x+2y=-6	$6 x - 3 y = - 9$ and $2 x + 2 y = - 6$
171291	Simplify	square root of 2/x* square root of (x^2)/8	$\sqrt{\frac{2}{x}} \cdot \sqrt{\frac{x^{2}}{8}}$
171292	Divide	8 1/2÷2 1/4	$8 \frac{1}{2} \div 2 \frac{1}{4}$
171293	Solve for n	2n=4x+2y	$2 n = 4 x + 2 y$
171294	Find the Product	(x^4)(3x^3-2)(4x^2+5x) ?	$(x^{4}) (3 x^{3} - 2) (4 x^{2} + 5 x)$ ?
171295	Simplify	2/(x-3)+3/(x+2)-(4x-7)/(x^2-x-6)	$\frac{2}{x - 3} + \frac{3}{x + 2} - \frac{4 x - 7}{x^{2} - x - 6}$
171296	Solve for x	0.5x+4+0.9x=x+5	$0.5 x + 4 + 0.9 x = x + 5$
171297	Find q(r(x))	q(x)=x^2+6 r(x) = square root of x+9	$q (x) = x^{2} + 6$ $r (x) = \sqrt{x + 9}$
171298	Solve for x	0.01x+0.001=1/100(x+10)	$0.01 x + 0.001 = \frac{1}{100} (x + 10)$
171299	Evaluate	(4x)^3	${(4 x)}^{3}$
171300	Simplify	3n^2(n^2+4n-5)-(2n^2-n^4+3)	$3 n^{2} (n^{2} + 4 n - 5) - (2 n^{2} - n^{4} + 3)$