Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226301	Solve for n	m=n-8	$m = n - 8$
226302	Write as a Single Logarithm	1/3( log base 5 of 8+ log base 5 of 27)- log base 5 of 3	$\frac{1}{3} (\log_{5} (8) + \log_{5} (27)) - \log_{5} (3)$
226303	Graph	x<3 and x>-4	$x < 3$ and $x > - 4$
226304	Solve for b	a^2+b^2=c^2 ; for b	$a^{2} + b^{2} = c^{2}$ ; for $b$
226305	Find the Roots (Zeros)	P(c)=-20(c-3)^2+180	$P (c) = - 20 {(c - 3)}^{2} + 180$
226306	Solve the System of Equations	a-2b+c=8 2a+b-c=0 3a-6b+3c=24	$a - 2 b + c = 8$ $2 a + b - c = 0$ $3 a - 6 b + 3 c = 24$
226307	Simplify	2x^2 square root of 5/(x^3)	$2 x^{2} \sqrt{\frac{5}{x^{3}}}$
226308	Simplify	(a^4b^2c)/(a^3b^5c^2)	$\frac{a^{4} b^{2} c}{a^{3} b^{5} c^{2}}$
226309	Solve Using the Quadratic Formula	x^2+19x+c=0	$x^{2} + 19 x + c = 0$
226310	Simplify	x(-7x^2-8x)	$x (- 7 x^{2} - 8 x)$
226311	Find All Complex Solutions	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
226312	Simplify	6/5*(2x)/(x-3)	$\frac{6}{5} \cdot \frac{2 x}{x - 3}$
226313	Evaluate	(1)^4+8(1)^3+18(1)^2+4	${(1)}^{4} + 8 {(1)}^{3} + 18 {(1)}^{2} + 4$
226314	Solve for x	8^(2-x)=(1/4)^x	$8^{2 - x} = {(\frac{1}{4})}^{x}$
226315	Simplify	(3 square root of 2p^3q)(5p square root of 8pq)	$(3 \sqrt{2 p^{3} q}) (5 p \sqrt{8 p q})$
226316	Simplify the Radical Expression	(8 square root of -84)(5 square root of -7)	$(8 \sqrt{- 84}) (5 \sqrt{- 7})$
226317	Evaluate	65% of 40	$65 %$ of $40$
226318	Solve for a	2(a-2)=2a-4	$2 (a - 2) = 2 a - 4$
226319	Factor	1/(8x^6)-(y^3)/216	$\frac{1}{8 x^{6}} - \frac{y^{3}}{216}$
226320	Find the Exact Value	tan(-480 degrees )	$\tan (- 480 °)$
226321	Find the x and y Intercepts	x^2-8x+y^2+6y=-9	$x^{2} - 8 x + y^{2} + 6 y = - 9$
226322	Graph	- cube root of x+2	$- \sqrt[3]{x} + 2$
226323	Graph	x=1/2y^2-3	$x = \frac{1}{2} y^{2} - 3$
226324	Simplify	(b^2+5b-24)/(b^2-6b+9)*b/(b^2-64)	$\frac{b^{2} + 5 b - 24}{b^{2} - 6 b + 9} \cdot \frac{b}{b^{2} - 64}$
226325	Divide	(9x^2-18x)÷3x	$(9 x^{2} - 18 x) \div 3 x$
226326	Solve for x	2/(2x+3)=1/8	$\frac{2}{2 x + 3} = \frac{1}{8}$
226327	Convert to Interval Notation	9y-2<13 and 3y-2>-29	$9 y - 2 < 13$ and $3 y - 2 > - 29$
226328	Solve for n	-2(n-12)+1=-2n+25	$- 2 (n - 12) + 1 = - 2 n + 25$
226329	Solve the System of Inequalities	9y-2<13 and 3y-2>-29	$9 y - 2 < 13$ and $3 y - 2 > - 29$
226330	Simplify	(5f+g-2)+(-2f+3)	$(5 f + g - 2) + (- 2 f + 3)$
226331	Factor	27x^4+54x^3-64x-128	$27 x^{4} + 54 x^{3} - 64 x - 128$
226332	Solve by Addition/Elimination	8x-5y=11 and 4x-3y=5	$8 x - 5 y = 11$ and $4 x - 3 y = 5$
226333	Solve for c	1/2(c+6)=7	$\frac{1}{2} (c + 6) = 7$
226334	Graph	f(x)=6^xg(x)=6^(-x)	$f (x) = 6^{x} g (x) = 6^{- x}$
226335	Graph	f(x)=-3/2 square root of x-3+6	$f (x) = - \frac{3}{2} \sqrt{x - 3} + 6$
226336	Simplify	1/((2y^2z)^-3)	$\frac{1}{{(2 y^{2} z)}^{- 3}}$
226337	Solve for x	8 3/5=3/4x-5 1/2	$8 \frac{3}{5} = \frac{3}{4} x - 5 \frac{1}{2}$
226338	Simplify	(2+3x)+(-4+x)	$(2 + 3 x) + (- 4 + x)$
226339	Evaluate	1/(2+ square root of 3)+1/(2- square root of 3)	$\frac{1}{2 + \sqrt{3}} + \frac{1}{2 - \sqrt{3}}$
226340	Simplify the Radical Expression	square root of 3(2- square root of 24)	$\sqrt{3} (2 - \sqrt{24})$
226341	Graph	find f(-3)	find $f (- 3)$
226342	Solve for f	7f-3<=4f+6	$7 f - 3 \leq 4 f + 6$
226343	Solve for a	square root of 2a-3<5	$\sqrt{2 a - 3} < 5$
226344	Evaluate	(x^-6)/(x^-2y^-2y^-5)	$\frac{x^{- 6}}{x^{- 2} y^{- 2} y^{- 5}}$
226345	Find the Exact Value	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
226346	Solve the Inequality for x	-3<=-6x+7(x-3/5)-1	$- 3 \leq - 6 x + 7 (x - \frac{3}{5}) - 1$
226347	Evaluate	8^-2q^3r^-5	$8^{- 2} q^{3} r^{- 5}$
226348	Graph	f(x)>=-\|3x+6\|+1	$f (x) \geq - \| 3 x + 6 \| + 1$
226349	Simplify	cube root of (32a^5b^4)/(4a^2b)	$\sqrt[3]{\frac{32 a^{5} b^{4}}{4 a^{2} b}}$
226350	Evaluate	fourth root of 81x^2y^18	$\sqrt[4]{81 x^{2} y^{18}}$
226351	Solve for p	13p-18p-6=15p+6(3p-20)	$13 p - 18 p - 6 = 15 p + 6 (3 p - 20)$
226352	Graph	y=-1/6csc(x/4)	$y = - \frac{1}{6} \csc (\frac{x}{4})$
226353	Simplify	( cube root of y^4)/( sixth root of y^4)	$\frac{\sqrt[3]{y^{4}}}{\sqrt[6]{y^{4}}}$
226354	Simplify	(x^2)/(-x)	$\frac{x^{2}}{- x}$
226355	Solve for x	x--1=3	$x - - 1 = 3$
226356	Find the Axis of Symmetry	9x^2+4y^2-90x-24y+225=0	$9 x^{2} + 4 y^{2} - 90 x - 24 y + 225 = 0$
226357	Graph	3\|x\|-\|y\|=2	$3 \| x \| - \| y \| = 2$
226358	Evaluate	15% of 50	$15 %$ of $50$
226359	Simplify	4k^98k^3k	$4 k^{9} \times 8 k^{3} \times k$
226360	Simplify	(5+yi)^2	${(5 + y i)}^{2}$
226361	Simplify	(1/(9x))/(9/(8x^3))	$\frac{\frac{1}{9 x}}{\frac{9}{8 x^{3}}}$
226362	Simplify	( square root of 2xy)^3	${(\sqrt{2 x y})}^{3}$
226363	Simplify	square root of (1-4/5)/2	$\sqrt{\frac{1 - \frac{4}{5}}{2}}$
226364	Evaluate the Function	q(y+3)=1/((y+3)^2-9)	$q (y + 3) = \frac{1}{{(y + 3)}^{2} - 9}$
226365	Simplify	x+5+2x-4+4x-1+6x+5x-2	$x + 5 + 2 x - 4 + 4 x - 1 + 6 x + 5 x - 2$
226366	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,-2) and has a slope of -1/6 ?	What is the equation of the line that passes through the point $(- 6, - 2)$ and has a slope of $- \frac{1}{6}$ ?
226367	Multiply	(1+2/3)(1+2/5)(1+2/7)*(1+2/9)	$(1 + \frac{2}{3}) \cdot (1 + \frac{2}{5}) \cdot (1 + \frac{2}{7}) \cdot (1 + \frac{2}{9})$
226368	Solve the Inequality for n	(2n+1)/(3n+1)<=(n-1)/(3n+1)	$\frac{2 n + 1}{3 n + 1} \leq \frac{n - 1}{3 n + 1}$
226369	Find the Quotient	(3x^3+9x^2-14)÷(x^2+x-3)	$(3 x^{3} + 9 x^{2} - 14) \div (x^{2} + x - 3)$
226370	Solve for x	1/3x=-x+2/3x-1	$\frac{1}{3} x = - x + \frac{2}{3} x - 1$
226371	Simplify	square root of 8b^2* square root of 6b^2+3b^2 square root of 3	$\sqrt{8 b^{2}} \cdot \sqrt{6 b^{2}} + 3 b^{2} \sqrt{3}$
226372	Solve for x	1/(2x)=3/(4x)	$\frac{1}{2 x} = \frac{3}{4 x}$
226373	Solve for x	(-2cos(x)-3sin(x))^2-5sin(x)^2=1	${(- 2 \cos (x) - 3 \sin (x))}^{2} - 5 \sin^{2} (x) = 1$
226374	Graph	R(x)=-x^2+6x , C(x)=x+4	$R (x) = - x^{2} + 6 x$ , $C (x) = x + 4$
226375	Simplify	(-x^2+1)/((x^2+1)^2)	$\frac{- x^{2} + 1}{{(x^{2} + 1)}^{2}}$
226376	Divide	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
226377	Evaluate	2/(ac)+1/(ab)+3/(bc)	$\frac{2}{a c} + \frac{1}{a b} + \frac{3}{b c}$
226378	Find the Distance Between Two Points	(2,-5) and (7,4)	$(2, - 5)$ and $(7, 4)$
226379	Simplify the Radical Expression	2x square root of 3xy*4 square root of 2x^5y	$2 x \sqrt{3 x y} \cdot 4 \sqrt{2 x^{5} y}$
226380	Solve the Inequality for x	8-\|2x-1\|>=6	$8 - \| 2 x - 1 \| \geq 6$
226381	Solve for x	\|x\|-1<0	$\| x \| - 1 < 0$
226382	Find the Roots (Zeros)	f(h)=h(h-2)(2h-1)	$f (h) = h (h - 2) (2 h - 1)$
226383	Simplify	(6x^2-1)+(x^2+3)-2(x^2-5)-15x^2	$(6 x^{2} - 1) + (x^{2} + 3) - 2 (x^{2} - 5) - 15 x^{2}$
226384	Simplify	-2a^4-3a^2+7a+6-6a^3+a^4+7a^2-6	$- 2 a^{4} - 3 a^{2} + 7 a + 6 - 6 a^{3} + a^{4} + 7 a^{2} - 6$
226385	Simplify	5/(x+3)+(2x)/(x^2+6x+9)	$\frac{5}{x + 3} + \frac{2 x}{x^{2} + 6 x + 9}$
226386	Multiply	x*xy	$x \cdot x y$
226387	Simplify	(4v+7v^2)+(7v+7v^2+7v^4)	$(4 v + 7 v^{2}) + (7 v + 7 v^{2} + 7 v^{4})$
226388	Simplify	5(6p)+p	$5 (6 p) + p$
226389	Evaluate Using the Given Value	4t+8 if t=3	$4 t + 8$ if $t = 3$
226390	Find the Exact Value	sin(45 degrees )+sin(135 degrees )+sin(225 degrees )+sin(315 degrees )	$\sin (45 °) + \sin (135 °) + \sin (225 °) + \sin (315 °)$
226391	Simplify	sixth root of (16x^4)/(25y^2)	$\sqrt[6]{\frac{16 x^{4}}{25 y^{2}}}$
226392	Simplify	(5m)/(2n)+(3m)/(4n)	$\frac{5 m}{2 n} + \frac{3 m}{4 n}$
226393	Solve for p	(x-p)^2=q	${(x - p)}^{2} = q$
226394	Divide Using Long Polynomial Division	(x^4+x^3-8x^2-13x-7)÷(x+2)	$(x^{4} + x^{3} - 8 x^{2} - 13 x - 7) \div (x + 2)$
226395	Evaluate	(sin(60 degrees ))(cos(30 degrees ))+(cos(60 degrees ))(sin(30 degrees ))	$(\sin (60 °)) (\cos (30 °)) + (\cos (60 °)) (\sin (30 °))$
226396	Solve for a	4a+2b=20 15a+5b=60	$4 a + 2 b = 20$ $15 a + 5 b = 60$
226397	Simplify	-2/3+5/6	$- \frac{2}{3} + \frac{5}{6}$
226398	Find All Complex Solutions	3x-7=3(x-3)+2	$3 x - 7 = 3 (x - 3) + 2$
226399	Solve Using the Quadratic Formula	(-2+- square root of 2^2-41-3)/(2(1))	$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$
226400	Find the x and y Intercepts	f(x)=(x-7)(5x+1)^2(x-7)	$f (x) = (x - 7) {(5 x + 1)}^{2} (x - 7)$