Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210901	Simplify the Radical Expression	square root of square root of 81	$\sqrt{\sqrt{81}}$
210902	Find the Holes in the Graph	(x^3-x^2-6x)/(-3x^2-3x+18)	$\frac{x^{3} - x^{2} - 6 x}{- 3 x^{2} - 3 x + 18}$
210903	Simplify	(x^2-1/2)^2	${(x^{2} - \frac{1}{2})}^{2}$
210904	Graph	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
210905	Convert to Radical Form	(27)^(-2/3)	${(27)}^{- \frac{2}{3}}$
210906	Combine Like Terms	11x-21+11-6x	$11 x - 21 + 11 - 6 x$
210907	Simplify	(2(2x^2y^3)^4)/(4(3x^4y^6)^2)	$\frac{2 {(2 x^{2} y^{3})}^{4}}{4 {(3 x^{4} y^{6})}^{2}}$
210908	Find All Complex Solutions	x^3+2x^2+36x=-72	$x^{3} + 2 x^{2} + 36 x = - 72$
210909	Simplify	( square root of 45* square root of 20)/2	$\frac{\sqrt{45} \cdot \sqrt{20}}{2}$
210910	Simplify	((5m)/(6n))÷((15m^2)/8)	$\frac{5 m}{6 n} \div \frac{15 m^{2}}{8}$
210911	Divide Using Synthetic Division	(2x^3-10x^2+x-5)÷(x-5)	$(2 x^{3} - 10 x^{2} + x - 5) \div (x - 5)$
210912	Solve the Inequality for w	w-8>=5.6	$w - 8 \geq 5.6$
210913	Solve for x	2/(x+5)=6/(8x)	$\frac{2}{x + 5} = \frac{6}{8 x}$
210914	Solve for x	10-3 cube root of 2x+5=-11	$10 - 3 \sqrt[3]{2 x + 5} = - 11$
210915	Evaluate	log base 5 of x- log base 5 of 25=7	$\log_{5} (x) - \log_{5} (25) = 7$
210916	Evaluate	(10+7r-r^2)+(-6r^2-18+5r)	$(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)$
210917	Simplify	(x^2+18x+81)/((x+9)^5 square root of x+9)	$\frac{x^{2} + 18 x + 81}{{(x + 9)}^{5} \sqrt{x + 9}}$
210918	Graph	f(x) = square root of x^3+3x^2	$f (x) = \sqrt{x^{3} + 3 x^{2}}$
210919	Write Using Positive Exponents	(3^-3(-2)^-5)/(6^-1)	$\frac{3^{- 3} {(- 2)}^{- 5}}{6^{- 1}}$
210920	Evaluate	(-18m^2n)^2(-1/6mn^2)	${(- 18 m^{2} n)}^{2} (- \frac{1}{6} m n^{2})$
210921	Write the Fraction in Simplest Form	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
210922	Simplify	-3 square root of 28+(-2 square root of 7)	$- 3 \sqrt{28} + (- 2 \sqrt{7})$
210923	Simplify	( square root of a^9)/( fifth root of a^6)	$\frac{\sqrt{a^{9}}}{\sqrt[5]{a^{6}}}$
210924	Simplify	-1/3(y-x)	$- \frac{1}{3} (y - x)$
210925	Solve for x	2/(x^2-2x)-1/(x-2)=1	$\frac{2}{x^{2} - 2 x} - \frac{1}{x - 2} = 1$
210926	Evaluate	(-6+- square root of 36-(4)2-5)/4	$\frac{- 6 + - \sqrt{36 - (4) \cdot 2 \cdot - 5}}{4}$
210927	Simplify	9xy^4*3x^3y	$9 x y^{4} \cdot 3 x^{3} y$
210928	Solve for x	8^(2x-2)=4^x	$8^{2 x - 2} = 4^{x}$
210929	Solve the Inequality for y	25.2<=-1.5y+1.2	$25.2 \leq - 1.5 y + 1.2$
210930	Solve for a	1/3(4a+1)=1/2a	$\frac{1}{3} (4 a + 1) = \frac{1}{2} a$
210931	Convert to Interval Notation	x<=0 and x>=-4	$x \leq 0$ and $x \geq - 4$
210932	Solve for m	3\|m-7\|+9<30	$3 \| m - 7 \| + 9 < 30$
210933	Solve for x	x/2=1/4+(3x)/4	$\frac{x}{2} = \frac{1}{4} + \frac{3 x}{4}$
210934	Solve the Inequality for r	-2(9r+3)-7r>=-10r-(12r+9)	$- 2 (9 r + 3) - 7 r \geq - 10 r - (12 r + 9)$
210935	Simplify	(2/3)^2(3^-2(-3)^3)/((3^-1)^-3)(5^35^-2)/((5)3^-2)	${(\frac{2}{3})}^{2} \frac{3^{- 2} {(- 3)}^{3}}{{(3^{- 1})}^{- 3}} \frac{5^{3} \cdot 5^{- 2}}{(5) \cdot 3^{- 2}}$
210936	Evaluate	1/2(2)(2)^2	$\frac{1}{2} (2) {(2)}^{2}$
210937	Solve for x	x^3-7x+6=(x-1)(x+3)(x-2)	$x^{3} - 7 x + 6 = (x - 1) (x + 3) (x - 2)$
210938	Solve for x	( square root of x)/2+3=9	$\frac{\sqrt{x}}{2} + 3 = 9$
210939	Multiply	(24x^3)/(50x)*30/(8x^2)	$\frac{24 x^{3}}{50 x} \cdot \frac{30}{8 x^{2}}$
210940	Simplify	- cube root of -54d^9ef	$- \sqrt[3]{- 54 d^{9} e f}$
210941	Solve for x	log base 5 of 2x=1/6	$\log_{5} (2 x) = \frac{1}{6}$
210942	Find the Roots (Zeros)	F(x)=((x-2)(x+1))/(x(x-3)(x+5))	$F (x) = \frac{(x - 2) (x + 1)}{x (x - 3) (x + 5)}$
210943	Simplify	(4v^3-3v^2+v)/v	$\frac{4 v^{3} - 3 v^{2} + v}{v}$
210944	Simplify	square root of 3-5 square root of 3+2 square root of 3+10 square root of 3	$\sqrt{3} - 5 \sqrt{3} + 2 \sqrt{3} + 10 \sqrt{3}$
210945	Find the Excluded Values	(x+5)/(x^3-7x^2+12x)	$\frac{x + 5}{x^{3} - 7 x^{2} + 12 x}$
210946	Simplify	(xy)^5(x^2y)^4	${(x y)}^{5} {(x^{2} y)}^{4}$
210947	Solve the Inequality for x	3>-3(2x-2)+9x-3	$3 > - 3 (2 x - 2) + 9 x - 3$
210948	Evaluate	x^2=-1	$x^{2} = - 1$
210949	Evaluate	-6(2/3p^8)^3	$- 6 {(\frac{2}{3} p^{8})}^{3}$
210950	Find the Third Term	a_n=((n+1)!)/(n+1)	$a_{n} = \frac{(n + 1)!}{n + 1}$
210951	Convert to Interval Notation	-13<=3+8p<=11	$- 13 \leq 3 + 8 p \leq 11$
210952	Simplify	ab(-4ab^3)	$a b (- 4 a b^{3})$
210953	Simplify	(1/15)(-10x)(-6)	$(\frac{1}{15}) (- 10 x) (- 6)$
210954	Simplify	(21x^2-21x)/(18x^2-18x)*(6x)/(6x^2)	$\frac{21 x^{2} - 21 x}{18 x^{2} - 18 x} \cdot \frac{6 x}{6 x^{2}}$
210955	Evaluate	i^25i^14i^7*i^17	$i^{25} \cdot i^{14} \cdot i^{7} \cdot i^{17}$
210956	Solve for p	5 1/2+p=6	$5 \frac{1}{2} + p = 6$
210957	Solve for x	3/(5x)-2/3=1	$\frac{3}{5 x} - \frac{2}{3} = 1$
210958	Write the Fraction in Simplest Form	((3b^-3)^3)/(2b^9)	$\frac{{(3 b^{- 3})}^{3}}{2 b^{9}}$
210959	Simplify the Radical Expression	(7- square root of 2)(8+ square root of 2)	$(7 - \sqrt{2}) (8 + \sqrt{2})$
210960	Find the Product	square root of 2* square root of 8	$\sqrt{2} \cdot \sqrt{8}$
210961	Solve for x	12^(x-4)>144^(x-6)	$12^{x - 4} > 144^{x - 6}$
210962	Simplify	d+d+d+3+2	$d + d + d + 3 + 2$
210963	Convert to a Decimal	4.5rad	$4.5$ radians
210964	Evaluate	3^(4x-9)=1/243	$3^{4 x - 9} = \frac{1}{243}$
210965	Solve for x	sin(x)- square root of 2=-sin(x)	$\sin (x) - \sqrt{2} = - \sin (x)$
210966	Solve the Inequality for m	6m-2(7+3m)>5(2m-3)-m	$6 m - 2 (7 + 3 m) > 5 (2 m - 3) - m$
210967	Factor	4p(4p-1)-3(4p-1)^2	$4 p \cdot (4 p - 1) - 3 \cdot {(4 p - 1)}^{2}$
210968	Simplify	((-2xy^3)^2)/(6y^2)	$\frac{{(- 2 x y^{3})}^{2}}{6 y^{2}}$
210969	Graph	(( square root of 2)/2,-( square root of 2)/2)	$(\frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
210970	Solve for c	F(c)=9/5c+32	$F (c) = \frac{9}{5} c + 32$
210971	Solve the System of Equations	3x-2y=6 (2x+2y)=(4)	$3 x - 2 y = 6$ $(2 x + 2 y) = (4)$
210972	Find the Degree, Leading Term, and Leading Coefficient	-x+1/7	$- x + \frac{1}{7}$
210973	Solve the Absolute Value Inequality for x	(\|x+6\|)/7=2	$\frac{\| x + 6 \|}{7} = 2$
210974	Solve for x	(tan(x)-1)(2sin(x)-1)=0	$(\tan (x) - 1) (2 \sin (x) - 1) = 0$
210975	Simplify the Radical Expression	( square root of 6)/( square root of 2)	$\frac{\sqrt{6}}{\sqrt{2}}$
210976	Solve for x	bx+(ac)/(a+b)=c	$b x + \frac{a c}{a + b} = c$
210977	Simplify	(12r^3s^5-18r^2s^2+3rs)/(3rs)	$\frac{12 r^{3} s^{5} - 18 r^{2} s^{2} + 3 r s}{3 r s}$
210978	Find the Roots (Zeros)	x^5-7x^4-5x^3+18x^2-1	$x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$
210979	Find the GCF	72a^5b^3c-32a^3b^2c^2	$72 a^{5} b^{3} c - 32 a^{3} b^{2} c^{2}$
210980	Solve for d	-5=6d-7d+4	$- 5 = 6 d - 7 d + 4$
210981	Find the Product	(3x-4)(5-2x)(4x+1)	$(3 x - 4) (5 - 2 x) (4 x + 1)$
210982	Simplify	(2-x)/(1/x)	$\frac{2 - x}{\frac{1}{x}}$
210983	Solve for x	-3+x-4=2+3x+5-2x	$- 3 + x - 4 = 2 + 3 x + 5 - 2 x$
210984	Solve for x	cos(x)+2=3cos(x)	$\cos (x) + 2 = 3 \cos (x)$
210985	Solve for y	3x+7y=x	$3 x + 7 y = x$
210986	Simplify	(x+y)^-1(x+y)	${(x + y)}^{- 1} (x + y)$
210987	Divide	((x^2+10x+25)/(x-5))÷((x^2-25)/(5x+10))	$\frac{x^{2} + 10 x + 25}{x - 5} \div \frac{x^{2} - 25}{5 x + 10}$
210988	Solve for w	19-2(3w-5)=15	$19 - 2 (3 w - 5) = 15$
210989	Graph	f(x,y) = square root of 2x-y	$f (x, y) = \sqrt{2 x - y}$
210990	Evaluate	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x) + 1 = \log_{5} (4 x) - 7$
210991	Multiply	square root of 6a*2 square root of 2ab	$\sqrt{6 a} \cdot 2 \sqrt{2 a b}$
210992	Evaluate	K(t)=10t-19	$K (t) = 10 t - 19$
210993	Solve for x	5/(2x+6)=(x+1)/(x+3)	$\frac{5}{2 x + 6} = \frac{x + 1}{x + 3}$
210994	Simplify	4/(4^(1/2))	$\frac{4}{4^{\frac{1}{2}}}$
210995	Evaluate	((4r^2)/(3s^5))^3	${(\frac{4 r^{2}}{3 s^{5}})}^{3}$
210996	Find the Roots (Zeros)	y=(x+4)^2(x+1)	$y = {(x + 4)}^{2} (x + 1)$
210997	Find f(h(x))	f(x)=x^3-x^2+10 g(x)=3x^2+2x-10 h(x)=2x^3+2x^2-3x	$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$
210998	Solve for x	-3(5x-6)(x^2+49)=0	$- 3 (5 x - 6) (x^{2} + 49) = 0$
210999	Solve for x	((2x+1.5)^3+61)^(1/3)-4=1	${({(2 x + 1.5)}^{3} + 61)}^{\frac{1}{3}} - 4 = 1$
211000	Solve for x	9^(2x+4)*9^(2x)=1/81	$9^{2 x + 4} \cdot 9^{2 x} = \frac{1}{81}$