Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45101	Simplify	(4-5xi)(1+i)-(4-5xi)(5+i)	$(4 - 5 x i) (1 + i) - (4 - 5 x i) (5 + i)$
45102	Convert from Radians to Degrees	(11pi)/9rad	$\frac{11 π}{9}$ radians
45103	Solve the System of Equations	x+y=-1 and 5x-7y=79	$x + y = - 1$ and $5 x - 7 y = 79$
45104	Convert to Radical Form	((12)^(3/4))/((4)^(1/4))	$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$
45105	Solve the System of Inequalities	-1+9y>-73 and (y-4)/-3>2	$- 1 + 9 y > - 73$ and $\frac{y - 4}{- 3} > 2$
45106	Write in Standard Form	-3i(7i-5)	$- 3 i (7 i - 5)$
45107	Solve for x	square root of x^2-1=x-2	$\sqrt{x^{2} - 1} = x - 2$
45108	Simplify the Radical Expression	8 5/3	$8 \frac{5}{3}$
45109	Simplify	((3-4i)/5)^-1	${(\frac{(3 - 4 i)}{5})}^{- 1}$
45110	Find dy/dx	y=((4x^2)/(6-2x^2))^5	$y = {(\frac{4 x^{2}}{6 - 2 x^{2}})}^{5}$
45111	Find the GCF	8c^2+7c	$8 c^{2} + 7 c$
45112	Subtract	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x)$
45113	Write in Standard Form	9+2x^3-7x^3-2x^3	$9 + 2 x^{3} - 7 x^{3} - 2 x^{3}$
45114	Evaluate	(7x^(3/2))/(-14x^(1/3))	$\frac{7 x^{\frac{3}{2}}}{- 14 x^{\frac{1}{3}}}$
45115	Solve for a	ax+2ay=0	$a x + 2 a y = 0$
45116	Simplify	(8^-2x^-3y^11)/(x^2y^-5)	$\frac{8^{- 2} x^{- 3} y^{11}}{x^{2} y^{- 5}}$
45117	Write the Fraction in Simplest Form	(-3(u^3c^-5)^-3)/(2u^-5c^9)	$\frac{- 3 {(u^{3} c^{- 5})}^{- 3}}{2 u^{- 5} c^{9}}$
45118	Solve for x	2 square root of 10+3x = square root of 7+x	$2 \sqrt{10 + 3 x} = \sqrt{7 + x}$
45119	Evaluate	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
45120	Convert to Radical Form	2a^(1/2)b^(1/3)c^(1/4)	$2 a^{\frac{1}{2}} b^{\frac{1}{3}} c^{\frac{1}{4}}$
45121	Find the Inverse	4( cube root of x+10)	$4 (\sqrt[3]{x} + 10)$
45122	Solve Using the Quadratic Formula	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
45123	Simplify	3(x-3y+7)+4+7x	$3 (x - 3 y + 7) + 4 + 7 x$
45124	Combine Like Terms	-3x-7(x+4)	$- 3 x - 7 (x + 4)$
45125	Solve the Inequality for x	3x<4-5x<5+3x	$3 x < 4 - 5 x < 5 + 3 x$
45126	Find the Second Derivative	xy	$x y$
45127	Factor by Grouping	x^5+5x^2-4x^3-20	$x^{5} + 5 x^{2} - 4 x^{3} - 20$
45128	Simplify	Simplify 15c^-8d^0	Simplify $15 c^{- 8} d^{0}$
45129	Solve the System of Equations	x-2y=-4 y=1/2x+2	$x - 2 y = - 4$ $y = \frac{1}{2} x + 2$
45130	Find the Slope	What is the slope of the line through (1,0) and (3,8) ?	What is the slope of the line through $(1, 0)$ and $(3, 8)$ ?
45131	Solve the Inequality for x	-30+5x>4(6+8x)	$- 30 + 5 x > 4 (6 + 8 x)$
45132	Solve for n	5n^2=9n	$5 n^{2} = 9 n$
45133	Divide Using Synthetic Division	(3x^3+19x^2+x-21)÷(x+6)	$(3 x^{3} + 19 x^{2} + x - 21) \div (x + 6)$
45134	Solve the System of Inequalities	y<=x-1 y>-1/2x-4	$y \leq x - 1$ $y > - \frac{1}{2} x - 4$
45135	Find the Excluded Values	(x^2-81)/(8x+9)	$\frac{x^{2} - 81}{8 x + 9}$
45136	Simplify	square root of 320mn	$\sqrt{320 m n}$
45137	Simplify the Radical Expression	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
45138	Convert to a Percentage	0.31(3/8)	$0.31 (\frac{3}{8})$
45139	Round to the Nearest Hundredth	1/4	$\frac{1}{4}$
45140	Evaluate the Limit	limit as x approaches infinity of (2x^5+3x^4-31x)/(8x^4-31x^2+12)	$lim_{x \to \infty} \frac{2 x^{5} + 3 x^{4} - 31 x}{8 x^{4} - 31 x^{2} + 12}$
45141	Simplify	((5xy^3z^2)/(w^-3))^-5	${(\frac{5 x y^{3} z^{2}}{w^{- 3}})}^{- 5}$
45142	Find the Average Rate of Change	y-x=8	$y - x = 8$
45143	Find the Maximum/Minimum Value	f(x)=7x^2+x	$f (x) = 7 x^{2} + x$
45144	Solve for a	3(a-2)-(a+6)=4(a-1)	$3 (a - 2) - (a + 6) = 4 (a - 1)$
45145	Solve for x	3(6x-5)=3(6x-5)+x	$3 (6 x - 5) = 3 (6 x - 5) + x$
45146	Multiply	(2 square root of 3)(4 square root of 5)	$(2 \sqrt{3}) (4 \sqrt{5})$
45147	Solve for x	square root of 2+ cube root of 2x+4=2	$\sqrt{2 + \sqrt[3]{2 x + 4}} = 2$
45148	Solve for n	2/(5n-8)-1=n/(5n-8)	$\frac{2}{5 n - 8} - 1 = \frac{n}{5 n - 8}$
45149	Evaluate	f(x)=0.04(8(2)-(2)^2)	$f (x) = 0.04 (8 (2) - {(2)}^{2})$
45150	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2-12x-6 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} - 12 x - 6$ is divided by $3 x + 1$
45151	Solve for a	18a-9=5(2a+3)	$18 a - 9 = 5 (2 a + 3)$
45152	Solve for d	P=1+d/33	$P = 1 + \frac{d}{33}$
45153	Simplify	(x^2-64)/(x^2+x-6)	$\frac{x^{2} - 64}{x^{2} + x - 6}$
45154	Integrate Using u-Substitution	integral of x with respect to x	$\int x d x$
45155	Evaluate	(2x^3)/((x^-1)^3)	$\frac{2 x^{3}}{{(x^{- 1})}^{3}}$
45156	Evaluate the Integral	integral of (x^2+2+4x^4) with respect to x	$\int (x^{2} + 2 + 4 x^{4}) d x$
45157	Find the Product	(1-7x)(1+9x)	$(1 - 7 x) (1 + 9 x)$
45158	Graph	y<=x y>x+3	$y \leq x$ $y > x + 3$
45159	Find the Product	-5m^3(7n^4-2mn^3+6)	$- 5 m^{3} (7 n^{4} - 2 m n^{3} + 6)$
45160	Solve for x	5x+14-4x=23+x-9	$5 x + 14 - 4 x = 23 + x - 9$
45161	Evaluate the Limit	limit as x approaches 0 of (2+x)^(1/x)	$lim_{x \to 0} {(2 + x)}^{\frac{1}{x}}$
45162	Evaluate	(cot(pi/2)-cot(pi/3))/(pi/2-pi/3)	$\frac{\cot (\frac{π}{2}) - \cot (\frac{π}{3})}{\frac{π}{2} - \frac{π}{3}}$
45163	Find All Complex Solutions	4x+2x+2=3x-7	$4 x + 2 x + 2 = 3 x - 7$
45164	Evaluate	(8x-8)^(3/2)=64	${(8 x - 8)}^{\frac{3}{2}} = 64$
45165	Simplify	((x+2)(x-3))/((x+1)(x-4))*(x+1)/(x(x+2))	$\frac{(x + 2) (x - 3)}{(x + 1) (x - 4)} \cdot \frac{(x + 1)}{x (x + 2)}$
45166	Find the Holes in the Graph	(x^2-7x)/(x^2-17x+72)	$\frac{x^{2} - 7 x}{x^{2} - 17 x + 72}$
45167	Find the GCF	15m^2n^2 , 25m^3n	$15 m^{2} n^{2}$ , $25 m^{3} n$
45168	Graph	-2y^2+x-20y-49=0	$- 2 y^{2} + x - 20 y - 49 = 0$
45169	Write the Fraction in Simplest Form	(2x)/(y^2-x^2)-x/(y-x)	$\frac{2 x}{y^{2} - x^{2}} - \frac{x}{y - x}$
45170	Solve for x	log base 6 of 2x-3 = log base 6 of 12- log base 6 of 3	$\log_{6} (2 x - 3) = \log_{6} (12) - \log_{6} (3)$
45171	Evaluate the Integral	integral of (18tan(x)^2sec(x)^2)/((2+tan(x)^3)^2) with respect to x	$\int \frac{18 \tan^{2} (x) \sec^{2} (x)}{{(2 + \tan^{3} (x))}^{2}} d x$
45172	Find the Holes in the Graph	(x^2-x-2)/((x-2)^2)	$\frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
45173	Simplify	((x^2-2x-15)/(x-3))÷((x-5)/(x^2-9))	$\frac{x^{2} - 2 x - 15}{x - 3} \div \frac{x - 5}{x^{2} - 9}$
45174	Find the x and y Intercepts	f(x)=2^(3(x+1))-4	$f (x) = 2^{3 (x + 1)} - 4$
45175	Find the Midpoint	What is the midpoint of the line segment connecting the points (-2,4) and (2,6) ?	What is the midpoint of the line segment connecting the points $(- 2, 4)$ and $(2, 6)$ ?
45176	Factor	x^(2n)-81	$x^{2 n} - 81$
45177	Find the Quotient	(10r^2-79r+63)÷(r-7)	$(10 r^{2} - 79 r + 63) \div (r - 7)$
45178	Solve for x	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
45179	Write in Standard Form	r=2/3	$r = \frac{2}{3}$
45180	Solve Using the Quadratic Formula	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
45181	Simplify	((h+f)/(h-f))^-2	${(\frac{h + f}{h - f})}^{- 2}$
45182	Evaluate	((8x^2)/(2x^2))^2	${(\frac{8 x^{2}}{2 x^{2}})}^{2}$
45183	Simplify	((4x^8)^3)/((6x^5)^2)	$\frac{{(4 x^{8})}^{3}}{{(6 x^{5})}^{2}}$
45184	Solve the System of Inequalities	9-x<=3+2x and 3x-7<=-22	$9 - x \leq 3 + 2 x$ and $3 x - 7 \leq - 22$
45185	Write in Standard Form	(x^2-8)-(3x^3-6x-4+9x^2)	$(x^{2} - 8) - (3 x^{3} - 6 x - 4 + 9 x^{2})$
45186	Evaluate	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \cdot 10^{4}) (1.9 \cdot 10^{- 3})}{(1.044) (500)}$
45187	Integrate Using u-Substitution	integral of (e^x-e^(-x))/(e^x+e^(-x)) with respect to x	$\int \frac{e^{x} - e^{- x}}{e^{x} + e^{- x}} d x$
45188	Evaluate	4 natural log of 7- square root of 2	$4 \ln (7 - \sqrt{2})$
45189	Find the Asymptotes	f(x)=(4x^2-12x)/(x^2-9)	$f (x) = \frac{4 x^{2} - 12 x}{x^{2} - 9}$
45190	Simplify	(x+5)(2x)	$(x + 5) (2 x)$
45191	Rationalize the Denominator	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
45192	Convert to a Decimal	sec(300)deg	$\sec (300)$ degrees
45193	Evaluate the Limit	limit as x approaches 5 of (2x^2-50)/(3x-15)	$lim_{x \to 5} \frac{2 x^{2} - 50}{3 x - 15}$
45194	Simplify	limit as x approaches 2 of (x^3-7x+6)/(3x^2-8x+4)	$lim_{x \to 2} \frac{x^{3} - 7 x + 6}{3 x^{2} - 8 x + 4}$
45195	Solve by Graphing	2x-3y=-1 y=x-1	$2 x - 3 y = - 1$ $y = x - 1$
45196	Identify the Zeros and Their Multiplicities	f(x)=(x+7)^2(2x+1)(x-4)^3	$f (x) = {(x + 7)}^{2} (2 x + 1) {(x - 4)}^{3}$
45197	Simplify	8^-1-3^-1	$8^{- 1} - 3^{- 1}$
45198	Evaluate	((1.710^6)÷(2.6310^5))+3	$((1.7 \times 10^{6}) \div (2.63 \times 10^{5})) + 3$
45199	Simplify	square root of cube root of 256	$\sqrt{\sqrt[3]{256}}$
45200	Evaluate	(18-(-1-7)^2)+16÷(2^4)	$(18 - {(- 1 - 7)}^{2}) + 16 \div 2^{4}$