Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13101	Evaluate Using the Given Value	Evaluate 2/5g+3h-6 when g=10 and h=6	Evaluate $\frac{2}{5} g + 3 h - 6$ when $g = 10$ and $h = 6$
13102	Write the Fraction in Simplest Form	((-2s^3)^4)/(5s^-1)	$\frac{{(- 2 s^{3})}^{4}}{5 s^{- 1}}$
13103	Evaluate	(3^-2x^-5)/(y^0)	$\frac{3^{- 2} x^{- 5}}{y^{0}}$
13104	Simplify	(3ab)(2a^3b)	$(3 a b) (2 a^{3} b)$
13105	Graph	x-y=6 4x+y=4	$x - y = 6$ $4 x + y = 4$
13106	Simplify	3/(y^2+y-12)-2/(y^2+6y+8)	$\frac{3}{y^{2} + y - 12} - \frac{2}{y^{2} + 6 y + 8}$
13107	Evaluate	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
13108	Simplify	(1/(9^(3/2)))	$(\frac{1}{9^{\frac{3}{2}}})$
13109	Simplify	(-3a^2b^4)(4a^6n)	$(- 3 a^{2} b^{4}) (4 a^{6} n)$
13110	Rationalize the Denominator	-8/(-6- square root of 7)	$\frac{- 8}{- 6 - \sqrt{7}}$
13111	Find the Domain and Range	y=tan(x-pi)	$y = \tan (x - π)$
13112	Simplify	(39t^4uv^-2)/(13t^-3u^7)	$\frac{39 t^{4} u v^{- 2}}{13 t^{- 3} u^{7}}$
13113	Evaluate	(-12)(0.5)+(-4(2+8))/-5	$(- 12) (0.5) + \frac{- 4 (2 + 8)}{- 5}$
13114	Evaluate	(3x^-3y^2x^-4y^-4)/(3xy^23yx^-1)	$\frac{3 x^{- 3} y^{2} \cdot x^{- 4} y^{- 4}}{3 x y^{2} \cdot 3 y x^{- 1}}$
13115	Verify the Identity	(1+sin(B))(1-sin(B))=1/(sec(B)^2)	$(1 + \sin (B)) (1 - \sin (B)) = \frac{1}{\sec^{2} (B)}$
13116	Simplify	(5x^2y)(-3x^2)+(4x)(4x^3y)	$(5 x^{2} y) (- 3 x^{2}) + (4 x) (4 x^{3} y)$
13117	Simplify	(2xy^2)(x^2-5x+3y)	$(2 x y^{2}) (x^{2} - 5 x + 3 y)$
13118	Solve for x	5^x=5^(x+2)	$5^{x} = 5^{x + 2}$
13119	Simplify	(6x^2+30x+36)÷(x+3)	$(6 x^{2} + 30 x + 36) \div (x + 3)$
13120	Simplify	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
13121	Simplify	(5x^2y^5z^7)^0	${(5 x^{2} y^{5} z^{7})}^{0}$
13122	Find dy/dx	3xy=4x+y^2	$3 x y = 4 x + y^{2}$
13123	Evaluate the Limit	limit as n approaches infinity of (6n^3+2n^2+10)/(n^3+1)	$lim_{n \to \infty} \frac{6 n^{3} + 2 n^{2} + 10}{n^{3} + 1}$
13124	Solve for a	square root of 5a+1+2=6	$\sqrt{5 a + 1} + 2 = 6$
13125	Solve for x	6(2x-1)-(x-4)=-2(3x+1)	$6 (2 x - 1) - (x - 4) = - 2 (3 x + 1)$
13126	Solve for x	-1/5+5/(6x)=-1/(4x)	$- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}$
13127	Solve for x	log base 4 of x<4	$\log_{4} (x) < 4$
13128	Evaluate the Limit	limit as x approaches 5 of (5- square root of 6-x)/x	$lim_{x \to 5} \frac{5 - \sqrt{6 - x}}{x}$
13129	Find the Possible Factors	factors of 40	factors of $40$
13130	Evaluate the Limit	limit as x approaches infinity of (e^x)/(x^4)	$lim_{x \to \infty} \frac{e^{x}}{x^{4}}$
13131	Find dy/dx	y-2x^2=xy-5	$y - 2 x^{2} = x y - 5$
13132	Write as a Single Logarithm	2( log of 2x+ log of y)-( log of 3+2 log of 5)	$2 (\log (2 x) + \log (y)) - (\log (3) + 2 \log (5))$
13133	Evaluate the Limit	limit as x approaches 0 of (3x^2-6x)/(6x^2+2x)	$lim_{x \to 0} \frac{3 x^{2} - 6 x}{6 x^{2} + 2 x}$
13134	Find All Complex Solutions	-2y^2+4y+1=-6y^2	$- 2 y^{2} + 4 y + 1 = - 6 y^{2}$
13135	Find the Complex Conjugate	(5i-8)	$(5 i - 8)$
13136	Find the Domain	(2x+bx-2y-by)/(7x-7y)	$\frac{2 x + b x - 2 y - b y}{7 x - 7 y}$
13137	Simplify	(x-2)/( square root of x^2-4)	$\frac{x - 2}{\sqrt{x^{2} - 4}}$
13138	Expand the Logarithmic Expression	log of (x^5)/( square root of zy)	$\log (\frac{x^{5}}{\sqrt{z y}})$
13139	Solve for x	log base 4 of 5x+2=5x	$\log_{4} (5 x + 2) = 5 x$
13140	Simplify	(-1/(2a^-2))^-3	${(- \frac{1}{2 a^{- 2}})}^{- 3}$
13141	Solve the Function Operation	f(x)=10 fourth root of x ; find f^-1(x)	$f (x) = 10 \sqrt[4]{x}$ ; find $f^{- 1} (x)$
13142	Find the Domain and Range	y=csc(1/2x)	$y = \csc (\frac{1}{2} x)$
13143	Solve for x	y=5x-7 , y=-22	$y = 5 x - 7$ , $y = - 22$
13144	Find the Absolute Max and Min over the Interval	5+2i	$5 + 2 i$
13145	Simplify	6^-1(4^-2)	$6^{- 1} (4^{- 2})$
13146	Solve for b	b=-1-7*6	$b = - 1 - 7 \cdot 6$
13147	Write in Standard Form	7c(c^3-2c^2+5)	$7 c (c^{3} - 2 c^{2} + 5)$
13148	Find Amplitude, Period, and Phase Shift	y=12cot(x/5-3pi)-7	$y = 12 \cot (\frac{x}{5} - 3 π) - 7$
13149	Evaluate	18+(6-2)^2*3	$18 + {(6 - 2)}^{2} \times 3$
13150	Simplify	6/(r^-5s^-1)	$\frac{6}{r^{- 5} s^{- 1}}$
13151	Find the Derivative - d/dx	y = cube root of x^2(2e^x-x^2)	$y = \sqrt[3]{x^{2}} (2 e^{x} - x^{2})$
13152	Simplify	5m+3m+m	$5 m + 3 m + m$
13153	Simplify	4p^2(5p^2+7p-6)-4p^2(8p^2-9p-10)	$4 p^{2} (5 p^{2} + 7 p - 6) - 4 p^{2} (8 p^{2} - 9 p - 10)$
13154	Solve the System of Equations	3x^2+y=10 3x-y=-4	$3 x^{2} + y = 10$ $3 x - y = - 4$
13155	Solve the Function Operation	Given that f(x)=x^2+17x+70 and g(x)=x+10 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 17 x + 70$ and $g (x) = x + 10$ ; find $(f + g) (x)$ and express the result in standard form.
13156	Simplify	(a/(a-1)-(1+a)/a)/((1-a)/a+a/(1+a))	$\frac{\frac{a}{a - 1} - \frac{1 + a}{a}}{\frac{1 - a}{a} + \frac{a}{1 + a}}$
13157	Find the Second Derivative	f(x)=(x^2-1)/x	$f (x) = \frac{x^{2} - 1}{x}$
13158	Solve for X	2X^2-5X=12	$2 X^{2} - 5 X = 12$
13159	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of (2-15e^(-5x))/(1/x+4cos(5/x))	$lim_{x \to \infty} \frac{2 - 15 e^{- 5 x}}{\frac{1}{x} + 4 \cos (\frac{5}{x})}$
13160	Solve for x	2x^2=2x+12	$2 x^{2} = 2 x + 12$
13161	Solve the System of Inequalities	3m<=-21 and m+24>19	$3 m \leq - 21$ and $m + 24 > 19$
13162	Factor	x^3+7x^2+7x-15=(x+5)	$x^{3} + 7 x^{2} + 7 x - 15 = (x + 5)$
13163	Expand the Logarithmic Expression	log base 4 of 1/4x^2	$\log_{4} (\frac{1}{4} x^{2})$
13164	Integrate Using u-Substitution	integral of 1/(5-3x) with respect to x	$\int \frac{1}{5 - 3 x} d x$
13165	Write as a Single Logarithm	5* log base 5 of 4- log base 5 of 16	$5 \cdot \log_{5} (4) - \log_{5} (16)$
13166	Solve the System of Equations	2x+y+3z=20 x+2y-z=-11 3x-2z=-3	$2 x + y + 3 z = 20$ $x + 2 y - z = - 11$ $3 x - 2 z = - 3$
13167	Evaluate the Limit	limit as x approaches -1/2 of 4x(3x+4)^2	$lim_{x \to - \frac{1}{2}} 4 x {(3 x + 4)}^{2}$
13168	Simplify	(m^(1/5)n^(1/7))/(m^(1/4)n^0)	$\frac{m^{\frac{1}{5}} n^{\frac{1}{7}}}{m^{\frac{1}{4}} n^{0}}$
13169	Solve the Inequality for x	-2<=x/4-6<6	$- 2 \leq \frac{x}{4} - 6 < 6$
13170	Write in Standard Form	(x-3)(x+2)^2	$(x - 3) {(x + 2)}^{2}$
13171	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^(-x)-1)/(sin(3x)-3x)	$lim_{x \to 0} \frac{e^{- x} - 1}{\sin (3 x) - 3 x}$
13172	Simplify	(m+p)(m^2-2mp+p^2)	$(m + p) (m^{2} - 2 m p + p^{2})$
13173	Find the Concavity	f(x)=-3/20x^5-2x^4-8x^3	$f (x) = - \frac{3}{20} x^{5} - 2 x^{4} - 8 x^{3}$
13174	Evaluate	f(5)=1500(1.074)^5	$f (5) = 1500 {(1.074)}^{5}$
13175	Solve for x	2x^2+6x^2=40	$2 x^{2} + 6 x^{2} = 40$
13176	Write in y=mx+b Form	(-6,5) and (-3,-3)	$(- 6, 5)$ and $(- 3, - 3)$
13177	Solve for a	2a^2-ab=0	$2 a^{2} - a b = 0$
13178	Find the Distance Between Two Points	(2,3) and (14,8)	$(2, 3)$ and $(14, 8)$
13179	Find dy/dx	-xy+5-5y^2=3x^3	$- x y + 5 - 5 y^{2} = 3 x^{3}$
13180	Find All Complex Solutions	x^3=16	$x^{3} = 16$
13181	Solve the System of Equations	y-3=(x-1)^2 2x+y=5	$y - 3 = {(x - 1)}^{2}$ $2 x + y = 5$
13182	Solve for x	square root of 7x^2+15x-2x=5+x	$\sqrt{7 x^{2} + 15 x} - 2 x = 5 + x$
13183	Find the Domain	f(x)=(1+x^2)/(2-e^(3x+1))	$f (x) = \frac{1 + x^{2}}{2 - e^{3 x + 1}}$
13184	Solve the Rational Equation for m	10 = square root of m/10	$10 = \sqrt{\frac{m}{10}}$
13185	Find the Equation Using Two Points	(1,3) and (-3,-5)	$(1, 3)$ and $(- 3, - 5)$
13186	Simplify	(x^0)/x	$\frac{x^{0}}{x}$
13187	Write as a Single Logarithm	log base b of x^2+1-1/2 log base b of x-2x^3	$\log_{b} (x^{2} + 1) - \frac{1}{2} \log_{b} (x - 2) x^{3}$
13188	Evaluate	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
13189	Evaluate the Integral	integral from 0 to 1 of (1/(x+1)+1/((x+4)^2)) with respect to x	$\int_{0}^{1} (\frac{1}{x + 1} + \frac{1}{{(x + 4)}^{2}}) d x$
13190	Simplify	((6a^3)/(5b))/((21a)/(10b^2))	$\frac{\frac{6 a^{3}}{5 b}}{\frac{21 a}{10 b^{2}}}$
13191	Solve for x	(x^3+2x^2-10x-28)^(1/3)=x	${(x^{3} + 2 x^{2} - 10 x - 28)}^{\frac{1}{3}} = x$
13192	Find the Second Term	a_n=((n+2)!)/((n+3)!)	$a_{n} = \frac{(n + 2)!}{(n + 3)!}$
13193	Divide	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
13194	Graph	f(x)=(1-2x)^3	$f (x) = {(1 - 2 x)}^{3}$
13195	Graph Using a Table of Values	y = square root of x-2	$y = \sqrt{x} - 2$
13196	Solve for b	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
13197	Factor by Grouping	5ac-5bc-a+b	$5 a c - 5 b c - a + b$
13198	Evaluate	-1/(( square root of 16)^3)	$\frac{- 1}{{(\sqrt{16})}^{3}}$
13199	Write in Standard Form	4n(3n^2+n-4)-n(3-n)	$4 n (3 n^{2} + n - 4) - n (3 - n)$
13200	Find the Perfect Square Trinomial	(3x-7)(3x+10)	$(3 x - 7) (3 x + 10)$