Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4201	Solve for x	1=(3x)/4+7/4	$1 = \frac{3 x}{4} + \frac{7}{4}$
4202	Evaluate the Integral	integral of (5+x) with respect to x	$\int (5 + x) d x$
4203	Solve the Inequality for a	(a-2)/3>a+4	$\frac{a - 2}{3} > a + 4$
4204	Simplify	4/( cube root of 8x^2)	$\frac{4}{\sqrt[3]{8 x^{2}}}$
4205	Solve the Inequality for x	7+4x>x-2	$7 + 4 x > x - 2$
4206	Graph	x>-1 y<=-3	$x > - 1$ $y \leq - 3$
4207	Find the Asymptotes	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
4208	Evaluate	8=2^(5x+7)	$8 = 2^{5 x + 7}$
4209	Evaluate	1/3 cube root of 81	$\frac{1}{3} \sqrt[3]{81}$
4210	Solve for x	1- square root of 3x+2=-5	$1 - \sqrt{3 x + 2} = - 5$
4211	Divide	(3v^2-7v-10)(v-4)^-1	$(3 v^{2} - 7 v - 10) {(v - 4)}^{- 1}$
4212	Solve for x	(x+2)(x+3)=x^2-10	$(x + 2) (x + 3) = x^{2} - 10$
4213	Solve for f	7/12f=2 1/24	$\frac{7}{12} f = 2 \frac{1}{24}$
4214	Solve the Inequality for x	3x-5y>=10	$3 x - 5 y \geq 10$
4215	Simplify	2m^10n^2*(-7m^9n^5)^2-(-m^7n^3)^4	$2 m^{10} n^{2} \cdot {(- 7 m^{9} n^{5})}^{2} - {(- m^{7} n^{3})}^{4}$
4216	Evaluate	(3 square root of 49+(1-5)^2)/((3*4)÷4+3)	$\frac{3 \sqrt{49} + {(1 - 5)}^{2}}{3 \cdot 4 \div 4 + 3}$
4217	Simplify	fourth root of 6^5* square root of 6^3	$\sqrt[4]{6^{5}} \cdot \sqrt{6^{3}}$
4218	Find the Asymptotes	f(x)=(x^2+x-12)/(2x^2+x-21)	$f (x) = \frac{x^{2} + x - 12}{2 x^{2} + x - 21}$
4219	Simplify	(3x^2-7x+2)/(x^2-4x+4)	$\frac{3 x^{2} - 7 x + 2}{x^{2} - 4 x + 4}$
4220	Write in Slope-Intercept Form	x-3y>12	$x - 3 y > 12$
4221	Simplify	(3x^2yz^4)^2	${(3 x^{2} y z^{4})}^{2}$
4222	Simplify	3/4 square root of 3/2	$\frac{3}{4} \sqrt{\frac{3}{2}}$
4223	Solve the Inequality for c	-3<=7c+4<18	$- 3 \leq 7 c + 4 < 18$
4224	Find the Inflection Points	f(x)=1/3x^6+x^5+5/6x^4	$f (x) = \frac{1}{3} x^{6} + x^{5} + \frac{5}{6} x^{4}$
4225	Find the Domain and Range	f(x)=-x^4-7x^3-12x^2	$f (x) = - x^{4} - 7 x^{3} - 12 x^{2}$
4226	Solve by Substitution	y-5=x x=-2-y	$y - 5 = x$ $x = - 2 - y$
4227	Simplify the Radical Expression	square root of (48x^3)/(3xy^2)	$\sqrt{\frac{48 x^{3}}{3 x y^{2}}}$
4228	Simplify the Radical Expression	(32^3)^(1/5)	${(32^{3})}^{\frac{1}{5}}$
4229	Solve the Rational Equation for x	fourth root of 3x-5=-8	$\sqrt[4]{3 x} - 5 = - 8$
4230	Add	1/4+1/8+1/4+1/8	$\frac{1}{4} + \frac{1}{8} + \frac{1}{4} + \frac{1}{8}$
4231	Find f(g(x))	f(x)=2x+2 , g(x)=x/2-1	$f (x) = 2 x + 2$ , $g (x) = \frac{x}{2} - 1$
4232	Simplify	(1/3x-3)+(-3/4x-5)	$(\frac{1}{3} x - 3) + (- \frac{3}{4} x - 5)$
4233	Simplify	(40b^2+96b+56)/(56b+24)	$\frac{40 b^{2} + 96 b + 56}{56 b + 24}$
4234	Write in Standard Form	(6.110^-3)(810^9)	$(6.1 \times 10^{- 3}) (8 \times 10^{9})$
4235	Evaluate the Function	f(x)=x^3-6x^2+1 is concave down at x=1	$f (x) = x^{3} - 6 x^{2} + 1$ is concave down at $x = 1$
4236	Solve the System of Inequalities	-y+5>=9 or 3y+4<-5	$- y + 5 \geq 9$ or $3 y + 4 < - 5$
4237	Solve for y	19-1-17y=-19+20y	$19 - 1 - 17 y = - 19 + 20 y$
4238	Simplify	(2x)/(x^2-3x-4)+3/(5x^2-20x)	$\frac{2 x}{x^{2} - 3 x - 4} + \frac{3}{5 x^{2} - 20 x}$
4239	Find the Vertex	y=X^2-6x-41	$y = X^{2} - 6 x - 41$
4240	Solve by Addition/Elimination	2x-y=-22 y=7x+67	$2 x - y = - 22$ $y = 7 x + 67$
4241	Solve for y	square root of 2y=4	$\sqrt{2 y} = 4$
4242	Simplify	17(1/9x-1)+1/9x+1	$17 (\frac{1}{9} x - 1) + \frac{1}{9} x + 1$
4243	Solve for a	1/(a+2)+1/(a-2)=4/(a^2-4)	$\frac{1}{a + 2} + \frac{1}{a - 2} = \frac{4}{a^{2} - 4}$
4244	Evaluate	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
4245	Evaluate the Integral	integral of (-100y^4)/5 with respect to y	$\int \frac{- 100 y^{4}}{5} d y$
4246	Solve for x	(1/100)^(2x-8)=10^(2x^2+10x)	${(\frac{1}{100})}^{2 x - 8} = 10^{2 x^{2} + 10 x}$
4247	Evaluate	(m^4)/(2m^4)	$\frac{m^{4}}{2 m^{4}}$
4248	Write in Exponential Form	( square root of 2ab)^3	${(\sqrt{2 a b})}^{3}$
4249	Solve the System of Equations	x+2y=16 4y=x+8	$x + 2 y = 16$ $4 y = x + 8$
4250	Find the Antiderivative	5*2x	$5 \cdot 2 x$
4251	Evaluate	-13+4*3+(-9+6)^5	$- 13 + 4 \cdot 3 + {(- 9 + 6)}^{5}$
4252	Simplify	((5x-10)/(2x))÷((3x-6)/(2x+8))	$\frac{5 x - 10}{2 x} \div \frac{3 x - 6}{2 x + 8}$
4253	Solve for a	11/(a+2)-10/(a+5)=36/(a^2+7a+10)	$\frac{11}{a + 2} - \frac{10}{a + 5} = \frac{36}{a^{2} + 7 a + 10}$
4254	Solve by Substitution	-6y+2=-4x y-2=x	$- 6 y + 2 = - 4 x$ $y - 2 = x$
4255	Solve for x	4(x-2)+3(x+1)=3(x-1)	$4 (x - 2) + 3 (x + 1) = 3 (x - 1)$
4256	Evaluate the Limit	limit as x approaches infinity of (6x^3-3x)/(x^3+4x^2)	$lim_{x \to \infty} \frac{6 x^{3} - 3 x}{x^{3} + 4 x^{2}}$
4257	Simplify	(3x+6)/(x+y)+6/(-x-y)	$\frac{3 x + 6}{x + y} + \frac{6}{- x - y}$
4258	Simplify	(tan(a)^2-sin(a)^2)/(tan(a)^2)	$\frac{\tan^{2} (a) - \sin^{2} (a)}{\tan^{2} (a)}$
4259	Solve for L	S=pirL+pir^2	$S = π r L + π r^{2}$
4260	Simplify	x^(2/3)+1/(x^(2/3))	$x^{\frac{2}{3}} + \frac{1}{x^{\frac{2}{3}}}$
4261	Solve for c	y=(ab)/(2c)	$y = \frac{a b}{2 c}$
4262	Solve for x	16^(2x-3)*4^(-2x)=16	$16^{2 x - 3} \cdot 4^{- 2 x} = 16$
4263	Solve for n	n+10>5	$n + 10 > 5$
4264	Solve for x	x/2+x/3=x-2	$\frac{x}{2} + \frac{x}{3} = x - 2$
4265	Solve by Graphing	y=x+7 y=-7/3x-3	$y = x + 7$ $y = - \frac{7}{3} x - 3$
4266	Simplify	5 square root of 4x-4-2 square root of x-1	$5 \sqrt{4 x - 4} - 2 \sqrt{x - 1}$
4267	Multiply	-2(x+6)(3x-5)	$- 2 (x + 6) (3 x - 5)$
4268	Convert to a Percentage	What percent of 25 is 12	What percent of $25$ is $12$
4269	Solve for x	2x+12/(x-3)=(4x)/(x-3)	$2 x + \frac{12}{x - 3} = \frac{4 x}{x - 3}$
4270	Find the Product	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
4271	Multiply	(b^3-5b^2+8)(-5b+4)	$(b^{3} - 5 b^{2} + 8) (- 5 b + 4)$
4272	Evaluate	a/b=c/d	$\frac{a}{b} = \frac{c}{d}$
4273	Evaluate the Limit	limit as x approaches infinity of (x+1)/( square root of x^2)	$lim_{x \to \infty} \frac{x + 1}{\sqrt{x^{2}}}$
4274	Simplify	-7/(5x)+(x+4)/x	$\frac{- 7}{5 x} + \frac{x + 4}{x}$
4275	Simplify	(x^-1+x^-1)/(2x^2)	$\frac{x^{- 1} + x^{- 1}}{2 x^{2}}$
4276	Simplify the Radical Expression	square root of 25(x+2)^4	$\sqrt{25 {(x + 2)}^{4}}$
4277	Graph	x+y-1<0	$x + y - 1 < 0$
4278	Solve for y	(y-1)(y-2)(y-3)=y^3-3y^2+2y	$(y - 1) (y - 2) (y - 3) = y^{3} - 3 y^{2} + 2 y$
4279	Graph	4^(3x+2)<64	$4^{3 x + 2} < 64$
4280	Multiply	5 square root of 20*3 square root of 8	$5 \sqrt{20} \cdot 3 \sqrt{8}$
4281	Solve for x	log base b of x=4 log base b of 2+ log base b of 3	$\log_{b} (x) = 4 \log_{b} (2) + \log_{b} (3)$
4282	Simplify the Radical Expression	square root of (a^8)/(b^12)	$\sqrt{\frac{a^{8}}{b^{12}}}$
4283	Find the Holes in the Graph	y=(x+3)/(x^2-9)	$y = \frac{x + 3}{x^{2} - 9}$
4284	Write as a Single Logarithm	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
4285	Solve for p	14p+20+7=16p-3	$14 p + 20 + 7 = 16 p - 3$
4286	Expand the Logarithmic Expression	log base 2 of (5/4)^(x-3)	$\log_{2} ({(\frac{5}{4})}^{x - 3})$
4287	Solve the System of Equations	4/3x-1/2y=2 4/3x+7/4y=11	$\frac{4}{3} x - \frac{1}{2} y = 2$ $\frac{4}{3} x + \frac{7}{4} y = 11$
4288	Convert to a Decimal	9.60 for 4lb	$9.6$ for $4 pounds$
4289	Solve the System of Equations	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
4290	Find the Domain and Range	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
4291	Solve for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
4292	Solve for x	2=(1+ square root of 29-4x)/-3	$2 = \frac{1 + \sqrt{29 - 4 x}}{- 3}$
4293	Solve for y	2(6y+1)+13=51+9(y-5)	$2 (6 y + 1) + 13 = 51 + 9 (y - 5)$
4294	Solve for d	2(1-5/2d)+5d=2	$2 (1 - \frac{5}{2} d) + 5 d = 2$
4295	Simplify	(4+ square root of 6)/(3 square root of 6)	$\frac{4 + \sqrt{6}}{3 \sqrt{6}}$
4296	Solve for x	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
4297	Write in Exponential Form	3 square root of x^2	$3 \sqrt{x^{2}}$
4298	Find the Exact Value	3 square root of 12+1/2 square root of 96- square root of 54	$3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$
4299	Solve for x	0.20=(x^2)/(85-x)	$0.2 = \frac{x^{2}}{85 - x}$
4300	Write in Standard Form	f(x)=1/2x-x^2+11x^4+2x^3	$f (x) = \frac{1}{2} x - x^{2} + 11 x^{4} + 2 x^{3}$