Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35101	Solve for b	(b-1)/b=3/10	$\frac{b - 1}{b} = \frac{3}{10}$
35102	Evaluate	36^(-3x+3)=(1/216)^(x+1)	$36^{- 3 x + 3} = {(\frac{1}{216})}^{x + 1}$
35103	Divide	(7-10i)/(-6-6i)	$\frac{7 - 10 i}{- 6 - 6 i}$
35104	Simplify	(3a+b)(3a-b)(2a+5b)	$(3 a + b) (3 a - b) (2 a + 5 b)$
35105	Find the x and y Intercepts	f(x)=-1/2* natural log of x+3	$f (x) = - \frac{1}{2} \cdot \ln (x + 3)$
35106	Solve the Inequality for x	-2(4-x)+x>-25	$- 2 (4 - x) + x > - 25$
35107	Simplify	(x^2-3x-4)/(x^2+4x+3)*(x^2+8x+15)/(x-4)	$\frac{x^{2} - 3 x - 4}{x^{2} + 4 x + 3} \cdot \frac{x^{2} + 8 x + 15}{x - 4}$
35108	Simplify	(-2/3)/(( square root of 5)/3)	$\frac{- \frac{2}{3}}{\frac{\sqrt{5}}{3}}$
35109	Simplify the Radical Expression	x^3 cube root of 250x^6y^6	$x^{3} \sqrt[3]{250 x^{6} y^{6}}$
35110	Find the Exact Value	sec((3pi)/2)^2-tan((3pi)/2)^2	$\sec^{2} (\frac{3 π}{2}) - \tan^{2} (\frac{3 π}{2})$
35111	Factor by Grouping	y(a-c)+5a-5c	$y (a - c) + 5 a - 5 c$
35112	Graph	x>=-3 1/2	$x \geq - 3 \frac{1}{2}$
35113	Simplify	((5y+5)/2)÷((25y-20)/(40y^2-32y))	$\frac{5 y + 5}{2} \div \frac{25 y - 20}{40 y^{2} - 32 y}$
35114	Solve for x	square root of 3-x+ square root of x+2=3	$\sqrt{3 - x} + \sqrt{x + 2} = 3$
35115	Find the Discriminant	-7x^2+16x=8x	$- 7 x^{2} + 16 x = 8 x$
35116	Evaluate	i^8i^15i^28*i^25	$i^{8} \cdot i^{15} \cdot i^{28} \cdot i^{25}$
35117	Simplify	cube root of (5a^2b)^6	$\sqrt[3]{{(5 a^{2} b)}^{6}}$
35118	Find the Antiderivative	(3x-1)/((x-1)^2)	$\frac{3 x - 1}{{(x - 1)}^{2}}$
35119	Find the Second Derivative	2x-5x^6	$2 x - 5 x^{6}$
35120	Evaluate	-5+1*3-(7-2^3)	$- 5 + 1 \cdot 3 - (7 - 2^{3})$
35121	Simplify	5(x+3)+3(y+1)	$5 (x + 3) + 3 (y + 1)$
35122	Solve by Substitution	-3x+3y=4 y=x+3	$- 3 x + 3 y = 4$ $y = x + 3$
35123	Find the Slope	Find the slope of the line passing through the points (-3,7) and (2,-6)	Find the slope of the line passing through the points $(- 3, 7)$ and $(2, - 6)$
35124	Solve for x	-1/2(x-3)^2=12	$- \frac{1}{2} {(x - 3)}^{2} = 12$
35125	Simplify	2/(x-5)+1/(3(x-5))	$\frac{2}{x - 5} + \frac{1}{3 (x - 5)}$
35126	Solve the Inequality for x	-1/2x>=-2x-(-3/4x+1)	$- \frac{1}{2} x \geq - 2 x - (- \frac{3}{4} x + 1)$
35127	Convert to Interval Notation	x<-4 and x<4	$x < - 4$ and $x < 4$
35128	Write in Standard Form	x/4-2x^5+(x^3)/2+1	$\frac{x}{4} - 2 x^{5} + \frac{x^{3}}{2} + 1$
35129	Solve the Function Operation	If P(x)=x^2+x+1 ; find P(8)	If $P (x) = x^{2} + x + 1$ ; find $P (8)$
35130	Find the Domain	(5x-15y)/(x^2-9y^2)	$\frac{5 x - 15 y}{x^{2} - 9 y^{2}}$
35131	Solve for x	square root of 2x-5+4=x	$\sqrt{2 x - 5 + 4} = x$
35132	Evaluate the Summation	sum from i=1 to 10 of 3/8n+3/8	$\sum_{i = 1}^{10} \frac{3}{8} n + \frac{3}{8}$
35133	Evaluate	-5/3(-2/7+4/5)	$- \frac{5}{3} (- \frac{2}{7} + \frac{4}{5})$
35134	Simplify	42-2*(9-3)+3	$42 - 2 \cdot (9 - 3) + 3$
35135	Evaluate	2(45÷((11-8)^2))-3	$2 (45 \div {(11 - 8)}^{2}) - 3$
35136	Integrate Using u-Substitution	integral of (x+ square root of x) with respect to x	$\int (x + \sqrt{x}) d x$
35137	Solve for x	1/4(x-4/5)=-39/20	$\frac{1}{4} (x - \frac{4}{5}) = - \frac{39}{20}$
35138	Simplify	((4x^2+3x-1)/(3x+9))÷((x^2-1)/(x^2+2x-3))	$\frac{4 x^{2} + 3 x - 1}{3 x + 9} \div \frac{x^{2} - 1}{x^{2} + 2 x - 3}$
35139	Simplify	1-1/(1-x)	$1 - \frac{1}{1 - x}$
35140	Factor by Grouping	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$
35141	Convert to Trigonometric Form	(1-sin(x))/(cos(x))	$\frac{1 - \sin (x)}{\cos (x)}$
35142	Write in Standard Form	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
35143	Simplify the Radical Expression	square root of 15n^2* square root of 10n^3	$\sqrt{15 n^{2}} \cdot \sqrt{10 n^{3}}$
35144	Divide	(36x^3+9x^2+45x)÷9x^2	$(36 x^{3} + 9 x^{2} + 45 x) \div 9 x^{2}$
35145	Determine if Parallel	Are the lines defined by the equations y=-3x+1 and 2y=-6x-8 parallel?	Are the lines defined by the equations $y = - 3 x + 1$ and $2 y = - 6 x - 8$ parallel?
35146	Simplify	20-15a+b+6+4a-4b	$20 - 15 a + b + 6 + 4 a - 4 b$
35147	Find dy/dx	cos(xy)=2x	$\cos (x y) = 2 x$
35148	Find dx/dy	y=sin(4x)-8x^2+9x+pi	$y = \sin (4 x) - 8 x^{2} + 9 x + π$
35149	Find the Vertex	y=-1/3(x+1)(x-5)	$y = - \frac{1}{3} (x + 1) (x - 5)$
35150	Solve the Inequality for x	x+12<8-3x	$x + 12 < 8 - 3 x$
35151	Simplify	12 root of (81x^4y^12)/(16c^8d^4)	$\sqrt[12]{\frac{81 x^{4} y^{12}}{16 c^{8} d^{4}}}$
35152	Simplify	Simplify the expression (9x^3+6x^2)/(3x+2)	Simplify the expression $\frac{9 x^{3} + 6 x^{2}}{3 x + 2}$
35153	Solve for n	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
35154	Evaluate the Limit	limit as x approaches -2 of (x^2+4x+4)/(x^3+x^2-8x-12)	$lim_{x \to - 2} \frac{x^{2} + 4 x + 4}{x^{3} + x^{2} - 8 x - 12}$
35155	Evaluate the Limit	limit as x approaches infinity of 5+x-x^2	$lim_{x \to \infty} 5 + x - x^{2}$
35156	Solve for x in Radians	csc(x) = square root of 2	$\csc (x) = \sqrt{2}$
35157	Simplify	( cube root of 4b^8)( cube root of 4b^3)	$(\sqrt[3]{4 b^{8}}) (\sqrt[3]{4 b^{3}})$
35158	Solve the Rational Equation for x	1+5/(x+1)=-(5x)/(x+1)	$1 + \frac{5}{x + 1} = - \frac{5 x}{x + 1}$
35159	Find the Domain and Range	y=csc(x/2)	$y = \csc (\frac{x}{2})$
35160	Solve the Inequality for k	k-14<=-10	$k - 14 \leq - 10$
35161	Solve the Inequality for h	h+4<=20	$h + 4 \leq 20$
35162	Find the Antiderivative	(2x+1)/((x+2)^2)	$\frac{2 x + 1}{{(x + 2)}^{2}}$
35163	Simplify	e^(1/2 natural log of x)	$e^{\frac{1}{2} \ln (x)}$
35164	Solve for c	c=2pi*7	$c = 2 π \cdot 7$
35165	Evaluate	square root of 2x-4 = square root of x	$\sqrt{2 x - 4} = \sqrt{x}$
35166	Find the Exact Value	2/(2^-3)	$\frac{2}{2^{- 3}}$
35167	Solve for a	3(a-2)+14=8-6a	$3 (a - 2) + 14 = 8 - 6 a$
35168	Solve for x	x^(2/3)=4x^(1/3)	$x^{\frac{2}{3}} = 4 x^{\frac{1}{3}}$
35169	Evaluate the Integral	integral of (5e^x-2/x) with respect to x	$\int (5 e^{x} - \frac{2}{x}) d x$
35170	Find the x and y Intercepts	p(x)=(2x^2+7x+5)(x-3)	$p (x) = (2 x^{2} + 7 x + 5) (x - 3)$
35171	Simplify	9x^2+7x-2-8x-10	$9 x^{2} + 7 x - 2 - 8 x - 10$
35172	Divide	((x^2-1)/(9x))÷((x^2+7x-8)/(4x))	$\frac{x^{2} - 1}{9 x} \div \frac{x^{2} + 7 x - 8}{4 x}$
35173	Find the Exact Value	sin(-450 degrees )	$\sin (- 450 °)$
35174	Find the Domain	(ax-ay)/(5x^2y^2)*(-(5xy)/(by-bx))	$\frac{a x - a y}{5 x^{2} y^{2}} \times (- \frac{5 x y}{b y - b x})$
35175	Describe the Transformation	y=- square root of x+2	$y = - \sqrt{x + 2}$
35176	Solve the System of Equations	3x+2y=17.50 and 2x+3y=15	$3 x + 2 y = 17.5$ and $2 x + 3 y = 15$
35177	Simplify	((2r^3t)^3)^2	${({(2 r^{3} t)}^{3})}^{2}$
35178	Simplify	(7^-2a)/(b^-1)	$\frac{7^{- 2} a}{b^{- 1}}$
35179	Find the Domain	((x^2+9x+8)/(x^2))÷((x^2-1)/(x^3+3x^2-4x))	$\frac{x^{2} + 9 x + 8}{x^{2}} \div \frac{x^{2} - 1}{x^{3} + 3 x^{2} - 4 x}$
35180	Solve for x	6x-8=2+9x-1	$6 x - 8 = 2 + 9 x - 1$
35181	Simplify	6x+5-4y-2x+y	$6 x + 5 - 4 y - 2 x + y$
35182	Simplify	-2k+6+3k-2-k	$- 2 k + 6 + 3 k - 2 - k$
35183	Multiply	1*2^0	$1 \cdot 2^{0}$
35184	Multiply	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
35185	Evaluate	((-1)^5(3)+5)/-2	$\frac{{(- 1)}^{5} (3) + 5}{- 2}$
35186	Evaluate the Integral	integral of 1/( square root of x)- square root of x with respect to x	$\int \frac{1}{\sqrt{x}} - \sqrt{x} d x$
35187	Describe the Transformation	y=1/2 cube root of x	$y = \frac{1}{2} \sqrt[3]{x}$
35188	Divide	(3m^5+m-1)÷(m+1)	$(3 m^{5} + m - 1) \div (m + 1)$
35189	Find the Slope	(-3,5) and (-7,7)	$(- 3, 5)$ and $(- 7, 7)$
35190	Simplify	(12x^(2/3)y^-4)^3	${(12 x^{\frac{2}{3}} y^{- 4})}^{3}$
35191	Write in Standard Form	5xy^2-x^2+9x^3y-y^4+2	$5 x y^{2} - x^{2} + 9 x^{3} y - y^{4} + 2$
35192	Solve the System of Equations	x+y=-13 and 4x+6y=-72	$x + y = - 13$ and $4 x + 6 y = - 72$
35193	Find the Domain	(x+3)/(4- square root of x^2-9)	$\frac{x + 3}{4 - \sqrt{x^{2} - 9}}$
35194	Solve the Rational Equation for v	square root of v+3-1=7	$\sqrt{v + 3} - 1 = 7$
35195	Simplify	2y^2 square root of (x^4)/(4y^2)	$2 y^{2} \sqrt{\frac{x^{4}}{4 y^{2}}}$
35196	Simplify	(m^2n^-5)^0m^-7	${(m^{2} n^{- 5})}^{0} m^{- 7}$
35197	Find the Antiderivative	e^(2x)+1/(x+1)	$e^{2 x} + \frac{1}{x + 1}$
35198	Solve for m	4m-3+35=180	$4 m - 3 + 35 = 180$
35199	Multiply	-5/2*1/2	$- \frac{5}{2} \cdot \frac{1}{2}$
35200	Simplify	square root of (3a^2)/(10b^6)	$\sqrt{\frac{3 a^{2}}{10 b^{6}}}$