Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220401	Write as a Single Logarithm	2 log base 3 of 9+ log base 3 of 7- log base 3 of 3	$2 \log_{3} (9) + \log_{3} (7) - \log_{3} (3)$
220402	Solve by Graphing	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
220403	Solve for x	4^(x+2)-5*4^x=99	$4^{x + 2} - 5 \cdot 4^{x} = 99$
220404	Solve for x	x^2=(x+6)(x-6)+36	$x^{2} = (x + 6) (x - 6) + 36$
220405	Simplify	fourth root of 6* cube root of 6^2	$\sqrt[4]{6} \cdot \sqrt[3]{6^{2}}$
220406	Evaluate	square root of 12- square root of 144	$\sqrt{12 - \sqrt{144}}$
220407	Simplify	square root of 5+6 cube root of 5+8 cube root of 5-5 square root of 5	$\sqrt{5} + 6 \sqrt[3]{5} + 8 \sqrt[3]{5} - 5 \sqrt{5}$
220408	Evaluate	e^(sin(pi/2))	$e^{\sin (\frac{π}{2})}$
220409	Simplify	(6w)/( square root of 25w)	$\frac{6 w}{\sqrt{25 w}}$
220410	Evaluate	(125^8)/(5^2)	$\frac{125^{8}}{5^{2}}$
220411	Convert to a Simplified Fraction	0.75 as a fraction	$0.75$ as a fraction
220412	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-x^3-9x^2-15x-18 is divided by x+2	Use synthetic division to find the result when $x^{4} - x^{3} - 9 x^{2} - 15 x - 18$ is divided by $x + 2$
220413	Simplify	(a^2+b^2)(x^2+y^2)	$(a^{2} + b^{2}) (x^{2} + y^{2})$
220414	Divide	(-21/5)÷(-3/35)	$- \frac{21}{5} \div (- \frac{3}{35})$
220415	Simplify	1/8 fourth root of 7+3/8 fourth root of 7	$\frac{1}{8} \sqrt[4]{7} + \frac{3}{8} \sqrt[4]{7}$
220416	Simplify	sin(x)^2+cot(x)cos(x)sin(x)	$\sin^{2} (x) + \cot (x) \cos (x) \sin (x)$
220417	Multiply	2/34 1/26	$\frac{2}{3} \cdot 4 \frac{1}{2} \cdot 6$
220418	Simplify the Radical Expression	(27m^12n^3)^(1/3)	${(27 m^{12} n^{3})}^{\frac{1}{3}}$
220419	Multiply	x(-x^2-5)	$x (- x^{2} - 5)$
220420	Solve for x	4(x^2-8)=84	$4 (x^{2} - 8) = 84$
220421	Simplify	((x^2-5x-6)/(x-9)*(6x^2+24x)/(-x-1))÷((x^2-2x-24)/-2)	$\frac{x^{2} - 5 x - 6}{x - 9} \cdot \frac{6 x^{2} + 24 x}{- x - 1} \div \frac{x^{2} - 2 x - 24}{- 2}$
220422	Simplify	((24x^-3)/(12x^-2))^2	${(\frac{24 x^{- 3}}{12 x^{- 2}})}^{2}$
220423	Convert to a Decimal	170deg	$170$ degrees
220424	Simplify	(6x)/7+4-x	$\frac{6 x}{7} + 4 - x$
220425	Find the Degree, Leading Term, and Leading Coefficient	f(x) = square root of 2x^5-7x^2-8x	$f (x) = \sqrt{2} x^{5} - 7 x^{2} - 8 x$
220426	Simplify	(x^2-7x)/(10x^3)*(5x+15)/(x^2-4x-21)	$\frac{x^{2} - 7 x}{10 x^{3}} \cdot \frac{5 x + 15}{x^{2} - 4 x - 21}$
220427	Graph	Graph 5x+3y=15	Graph $5 x + 3 y = 15$
220428	Simplify the Radical Expression	(3 fifth root of 64x^10y^3)/( fifth root of 2x^3y^-7)	$\frac{3 \sqrt[5]{64 x^{10} y^{3}}}{\sqrt[5]{2 x^{3} y^{- 7}}}$
220429	Solve for a	(5^9)/(5^3)=5^a	$\frac{5^{9}}{5^{3}} = 5^{a}$
220430	Solve for x	square root of -9x+28=-x+4	$\sqrt{- 9 x + 28} = - x + 4$
220431	Simplify	(x/y+1)/(1-y/x)	$\frac{\frac{x}{y} + 1}{1 - \frac{y}{x}}$
220432	Solve for x	-3=3/(x-2)	$- 3 = \frac{3}{x - 2}$
220433	Solve for y	-65=-y^3+2	$- 65 = - y^{3} + 2$
220434	Combine Like Terms	-2x^2+x+5x^3+4x+2x^2	$- 2 x^{2} + x + 5 x^{3} + 4 x + 2 x^{2}$
220435	Solve for x	3x^2-2x-2=-1	$3 x^{2} - 2 x - 2 = - 1$
220436	Describe the Transformation	f(x)=-x^3+2	$f (x) = - x^{3} + 2$
220437	Factor	(x^2+3x+2)/(x(x+2)^3(x+1))-1/(x(x+2)(x+5))	$\frac{x^{2} + 3 x + 2}{x {(x + 2)}^{3} (x + 1)} - \frac{1}{x (x + 2) (x + 5)}$
220438	Graph	x+y>0 x+y+5<0	$x + y > 0$ $x + y + 5 < 0$
220439	Write the Fraction in Simplest Form	((5s^4q^-1)^-4)/(5s^-3q^4)	$\frac{{(5 s^{4} q^{- 1})}^{- 4}}{5 s^{- 3} q^{4}}$
220440	Simplify	(x^3-3x^2-4x+12)/(x^3+7x^2-4x-28)	$\frac{x^{3} - 3 x^{2} - 4 x + 12}{x^{3} + 7 x^{2} - 4 x - 28}$
220441	Simplify	(26e^4)/(13e)	$\frac{26 e^{4}}{13 e}$
220442	Simplify	(x^2+1/(x^2))^2	${(x^{2} + \frac{1}{x^{2}})}^{2}$
220443	Find the Excluded Values	((x^2-10x+9)/(3x))÷((x^2-7x-18)/(x^2+2x))	$\frac{x^{2} - 10 x + 9}{3 x} \div \frac{x^{2} - 7 x - 18}{x^{2} + 2 x}$
220444	Simplify	(3n^(1/4))(2n^(-1/4))	$(3 n^{\frac{1}{4}}) (2 n^{- \frac{1}{4}})$
220445	Solve for d	80 = square root of 64d	$80 = \sqrt{64 d}$
220446	Solve the System of Equations	y=-x+3 y=2x^2-3x+4	$y = - x + 3$ $y = 2 x^{2} - 3 x + 4$
220447	Find the Product	(a+5)*2	$(a + 5) \cdot 2$
220448	Evaluate	(5 3/4)(1/3)(2)	$(5 \frac{3}{4}) (\frac{1}{3}) (2)$
220449	Solve the Inequality for x	square root of x^2-6x+9+2<=9	$\sqrt{x^{2} - 6 x + 9} + 2 \leq 9$
220450	Simplify	a^-4*8^14	$a^{- 4} \cdot 8^{14}$
220451	Simplify	cube root of 1+ square root of -100-3 square root of 16-2 square root of -49	$\sqrt[3]{1} + \sqrt{- 100} - 3 \sqrt{16} - 2 \sqrt{- 49}$
220452	Find the LCD	1/(3x) , 2/(7x) , (x+2)/(14x)	$\frac{1}{3 x}$ , $\frac{2}{7 x}$ , $\frac{x + 2}{14 x}$
220453	Graph	3x-6y<12 4x+5y<=-8	$3 x - 6 y < 12$ $4 x + 5 y \leq - 8$
220454	Solve for y	-2y^2+4y+1=-6y^2	$- 2 y^{2} + 4 y + 1 = - 6 y^{2}$
220455	Find the Roots (Zeros)	xe^x+2e^x	$x e^{x} + 2 e^{x}$
220456	Simplify the Radical Expression	(3x)^3	${(3 x)}^{3}$
220457	Simplify	1/4*6	$\frac{1}{4} \cdot 6$
220458	Solve for m	3 square root of 16-m=15	$3 \sqrt{16 - m} = 15$
220459	Simplify	5^-1-2^-3	$5^{- 1} - 2^{- 3}$
220460	Solve for x	(csc(x)^2)/4=4sin(x)^2	$\frac{\csc^{2} (x)}{4} = 4 \sin^{2} (x)$
220461	Solve for b	10+7x=4x+2+bx	$10 + 7 x = 4 x + 2 + b x$
220462	Find the Exact Value	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
220463	Simplify the Radical Expression	(4 square root of 20)(-6 square root of -6)	$(4 \sqrt{20}) (- 6 \sqrt{- 6})$
220464	Solve Using the Quadratic Formula	h=320-16t^2	$h = 320 - 16 t^{2}$
220465	Subtract	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{a^{2} + b^{2}}{a^{3} + b^{3}} - \frac{1}{a + b}$
220466	Find the Quotient	(9-x^2)/(3x)	$\frac{9 - x^{2}}{3 x}$
220467	Graph	p(x)=x^2(2x-5)^2(x+2)	$p (x) = x^{2} {(2 x - 5)}^{2} (x + 2)$
220468	Find the Product	(x^2+3x+1)(x^2+x+2)	$(x^{2} + 3 x + 1) (x^{2} + x + 2)$
220469	Solve for c	-15=-2c^2-7	$- 15 = - 2 c^{2} - 7$
220470	Simplify	1/(4 square root of 6+ square root of 3)	$\frac{1}{4 \sqrt{6} + \sqrt{3}}$
220471	Find the Domain and Range	f(x)=3(1/4)^(x-2)+1	$f (x) = 3 {(\frac{1}{4})}^{x - 2} + 1$
220472	Find the Exact Value	tan(pi/6)-cos(pi/6)	$\tan (\frac{π}{6}) - \cos (\frac{π}{6})$
220473	Solve the Inequality for x	2/3x-2>=0	$\frac{2}{3} x - 2 \geq 0$
220474	Evaluate	((260)÷30)(24+2)	$(2 \cdot 60 \div 30) \cdot (24 + 2)$
220475	Simplify	((-x-6)/(x+9)*(x+10)/(-2x-18))÷((x^2+16x+60)/(x^2+18x+81))	$\frac{- x - 6}{x + 9} \cdot \frac{x + 10}{- 2 x - 18} \div \frac{x^{2} + 16 x + 60}{x^{2} + 18 x + 81}$
220476	Simplify	1/x+(x-1)/(x-3)	$\frac{1}{x} + \frac{x - 1}{x - 3}$
220477	Graph	P(x)=15x^3-3x^2+x+4	$P (x) = 15 x^{3} - 3 x^{2} + x + 4$
220478	Solve for x	cube root of 4x^2-4x+1- cube root of x=0	$\sqrt[3]{4 x^{2} - 4 x + 1} - \sqrt[3]{x} = 0$
220479	Divide	((x^2-3x-28)/(6x))÷((2x-14)/2)	$\frac{x^{2} - 3 x - 28}{6 x} \div \frac{2 x - 14}{2}$
220480	Simplify	log of 10^e	$\log (10^{e})$
220481	Simplify	((3x)^-2)/((x^3)^-1)	$\frac{{(3 x)}^{- 2}}{{(x^{3})}^{- 1}}$
220482	Convert to a Decimal	12rev per s	$12$ revolutions per second
220483	Find the x and y Intercepts	Find x	Find $x$
220484	Find All Complex Solutions	(x+5)/(y-3)=0	$\frac{(x + 5)}{(y - 3)} = 0$
220485	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-4) and has a slope of 2 ?	What is the equation of the line that passes through the point $(2, - 4)$ and has a slope of $2$ ?
220486	Evaluate	3^2+-4^2	$3^{2} + - 4^{2}$
220487	Graph	4x-3y=-12 y=x+3	$4 x - 3 y = - 12$ $y = x + 3$
220488	Divide Using Long Polynomial Division	(4p^3-3p^2+2p)÷(p-1)	$(4 p^{3} - 3 p^{2} + 2 p) \div (p - 1)$
220489	Simplify	((a^8b^6)/(a^11))^5	${(\frac{a^{8} b^{6}}{a^{11}})}^{5}$
220490	Simplify	(4/x)^(1/2)	${(\frac{4}{x})}^{\frac{1}{2}}$
220491	Simplify	x^2(-7x^2+5)	$x^{2} (- 7 x^{2} + 5)$
220492	Solve for n	3/8+n=7/8	$\frac{3}{8} + n = \frac{7}{8}$
220493	Solve for x	-7-5x+8x=-9x-2+6	$- 7 - 5 x + 8 x = - 9 x - 2 + 6$
220494	Simplify	fifth root of a^9 square root of a	$\sqrt[5]{a^{9}} \sqrt{a}$
220495	Describe the Transformation	f(x)=2 square root of x+5	$f (x) = 2 \sqrt{x} + 5$
220496	Multiply	3(x^2+5)(x^2-5)	$3 (x^{2} + 5) (x^{2} - 5)$
220497	Simplify	(6/7)^-2*((4s)/(6t))^-2	${(\frac{6}{7})}^{- 2} \cdot {(\frac{4 s}{6 t})}^{- 2}$
220498	Solve the Rational Equation for x	square root of x=x-2	$\sqrt{x} = x - 2$
220499	Solve the Rational Equation for x	square root of 7x-17=x-1	$\sqrt{7 x - 17} = x - 1$
220500	Simplify the Radical Expression	i^7	$i^{7}$