Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
9701	Find the Vertex	y=2x^2+8x-24	$y = 2 x^{2} + 8 x - 24$
9702	Find the Vertex	y=\|x\|+4	$y = \| x \| + 4$
9703	Factor	12x^4+10x^3-12x^2	$12 x^{4} + 10 x^{3} - 12 x^{2}$
9704	Reduce the Fraction	48/52	$\frac{48}{52}$
9705	Factor	4x^2+12x+8	$4 x^{2} + 12 x + 8$
9706	Convert to a Percentage	37/50	$\frac{37}{50}$
9707	Factor	4x^2+23x-6	$4 x^{2} + 23 x - 6$
9708	Factor	4x^2+24x+20	$4 x^{2} + 24 x + 20$
9709	Factor	4v^2+21v+5	$4 v^{2} + 21 v + 5$
9710	Write as a Single Logarithm	3 natural log of x-5 natural log of c	$3 \ln (x) - 5 \ln (c)$
9711	Factor	4w^2-22w+10	$4 w^{2} - 22 w + 10$
9712	Find the Slope	(1,-1) , (5,-7)	$(1, - 1) (5, - 7)$
9713	Factor	3x^2+18x+15	$3 x^{2} + 18 x + 15$
9714	Factor	3x^2-15x	$3 x^{2} - 15 x$
9715	Find the Quadratic Equation	5 , -14/3	$5$ , $- \frac{14}{3}$
9716	Factor	3x^3+12x^2+9x	$3 x^{3} + 12 x^{2} + 9 x$
9717	Convert to Interval Notation	x/4-1/4<=x/5+1	$\frac{x}{4} - \frac{1}{4} \leq \frac{x}{5} + 1$
9718	Factor	3b^2+14b+8	$3 b^{2} + 14 b + 8$
9719	Factor	3c^2+10c+8	$3 c^{2} + 10 c + 8$
9720	Solve by Graphing	5 log of x+3=5	$5 \log (x + 3) = 5$
9721	Factor	16-25x^2	$16 - 25 x^{2}$
9722	Solve by Graphing	log of 6x+10 = log base 1/2 of x	$\log (6 x + 10) = \log_{\frac{1}{2}} (x)$
9723	Factor	19x^3-38x^2	$19 x^{3} - 38 x^{2}$
9724	Factor	2m^2-11m+15	$2 m^{2} - 11 m + 15$
9725	Solve Using the Quadratic Formula	-4x^2-7x+2=0	$- 4 x^{2} - 7 x + 2 = 0$
9726	Factor	15x^2-11x+2	$15 x^{2} - 11 x + 2$
9727	Find the Function Rule	table[[x,y]]	$\begin{array}{c} x & y \end{array}$
9728	Factor	16n^2-25	$16 n^{2} - 25$
9729	Expand the Trigonometric Expression	(6c+5d)(6c-5d)	$(6 c + 5 d) (6 c - 5 d)$
9730	Find the Roots (Zeros)	7x^2+16x-48	$7 x^{2} + 16 x - 48$
9731	Factor	2x^2-7x-9	$2 x^{2} - 7 x - 9$
9732	Factor	2x^2-16x+24	$2 x^{2} - 16 x + 24$
9733	Multiply	(x^2)/(x-5)*(x^2-7x+10)/(x^2+3x)	$\frac{x^{2}}{x - 5} \cdot \frac{x^{2} - 7 x + 10}{x^{2} + 3 x}$
9734	Factor	2x^2+15x+25	$2 x^{2} + 15 x + 25$
9735	Multiply	( square root of x+2 square root of 2)^2	${(\sqrt{x} + 2 \sqrt{2})}^{2}$
9736	Simplify	(7- square root of 2)(8+ square root of 2)	$(7 - \sqrt{2}) (8 + \sqrt{2})$
9737	Subtract	7/x-1/5	$\frac{7}{x} - \frac{1}{5}$
9738	Solve for x	x/3-(x-1)/2>=1	$\frac{x}{3} - \frac{x - 1}{2} \geq 1$
9739	Subtract	(5y)/(3y+7)-2/(5y-4)	$\frac{5 y}{3 y + 7} - \frac{2}{5 y - 4}$
9740	Find the Domain	f(x) = square root of 5x-3	$f (x) = \sqrt{5 x - 3}$
9741	Evaluate Using Scientific Notation	(7.810^3)(1.0*10^4)	$(7.8 \cdot 10^{3}) \cdot (1 \cdot 10^{4})$
9742	Evaluate Using Scientific Notation	(1.310^-2)(5.0*10^-2)	$(1.3 \cdot 10^{- 2}) \cdot (5 \cdot 10^{- 2})$
9743	Find the Inverse	f(x)=1/2x	$f (x) = \frac{1}{2} x$
9744	Determine if Rational	-11pi	$- 11 π$
9745	Simplify/Condense	3 log of x- log of 2	$3 \log (x) - \log (2)$
9746	Graph	x>=0	$x \geq 0$
9747	Multiply	(5a^3)/(ab)*(2a)/35	$\frac{5 a^{3}}{a b} \cdot \frac{2 a}{35}$
9748	Multiply	(x^2-5x)(2x^2+x-3)	$(x^{2} - 5 x) (2 x^{2} + x - 3)$
9749	Expand the Logarithmic Expression	log base 5 of 625	$\log_{5} (625)$
9750	Simplify/Condense	log of 100- log of 10	$\log (100) - \log (10)$
9751	Find the Slope	7y=3x+1	$7 y = 3 x + 1$
9752	Solve Using the Quadratic Formula	-1=15/x-(11x+5)/(x^2)	$- 1 = \frac{15}{x} - \frac{11 x + 5}{x^{2}}$
9753	Simplify/Condense	log of 25+ log of 4	$\log (25) + \log (4)$
9754	Find the Domain and Range	f(x)=-2(6^x)+3	$f (x) = - 2 (6^{x}) + 3$
9755	Expand the Logarithmic Expression	log base 3 of (2x)^2	$\log_{3} ({(2 x)}^{2})$
9756	Write with Rational (Fractional) Exponents	sixth root of t	$\sqrt[6]{t}$
9757	Evaluate	log of 75	$\log (75)$
9758	Write with Rational (Fractional) Exponents	fifth root of c	$\sqrt[5]{c}$
9759	Evaluate	log of 28	$\log (28)$
9760	Evaluate	natural log of 1/(e^5)	$\ln (\frac{1}{e^{5}})$
9761	Evaluate	log base 17 of 1/( square root of 17)	$\log_{17} (\frac{1}{\sqrt{17}})$
9762	Solve by Completing the Square	x^2+x=11/4	$x^{2} + x = \frac{11}{4}$
9763	Evaluate	log base 14 of 1/( square root of 14)	$\log_{14} (\frac{1}{\sqrt{14}})$
9764	Convert to Radical Form	c^(1/2)	$c^{\frac{1}{2}}$
9765	Evaluate	log base 2 of 20	$\log_{2} (20)$
9766	Combine	a square root of x+b square root of y-c square root of x	$a \sqrt{x} + b \sqrt{y} - c \sqrt{x}$
9767	Evaluate	log base 3 of 16	$\log_{3} (16)$
9768	Combine	4(1.75y-3.5)+1.25y	$4 (1.75 y - 3.5) + 1.25 y$
9769	Evaluate	log base 5 of 19	$\log_{5} (19)$
9770	Convert to a Decimal	-33/25	$\frac{- 33}{25}$
9771	Evaluate	log base 5 of 3125	$\log_{5} (3125)$
9772	Convert to a Decimal	7 1/2	$7 \frac{1}{2}$
9773	Convert to Logarithmic Form	2^c=8	$2^{c} = 8$
9774	Evaluate	log base 6 of 40	$\log_{6} (40)$
9775	Rationalize the Denominator	4/( square root of 12x)	$\frac{4}{\sqrt{12 x}}$
9776	Convert to Logarithmic Form	81^(1/4)=3	$81^{\frac{1}{4}} = 3$
9777	Find the Behavior (Leading Coefficient Test)	f(x)=1/3x^3+8x^4-5x-19x^2	$f (x) = \frac{1}{3} x^{3} + 8 x^{4} - 5 x - 19 x^{2}$
9778	Convert to Logarithmic Form	1/25=5^-2	$\frac{1}{25} = 5^{- 2}$
9779	Find the Directrix	12y=(x-1)^2-48	$12 y = {(x - 1)}^{2} - 48$
9780	Convert to Logarithmic Form	2^7=128	$2^{7} = 128$
9781	Find the Roots (Zeros)	y=(x+2)(x-5)(x-6)	$y = (x + 2) (x - 5) (x - 6)$
9782	Expand the Logarithmic Expression	log of 10000	$\log (10000)$
9783	Convert to a Percentage	0.084	$0.084$
9784	Subtract	(6d^3-5df-3f^3)-(6d^3+4df-3f^3)	$(6 d^{3} - 5 d f - 3 f^{3}) - (6 d^{3} + 4 d f - 3 f^{3})$
9785	Expand the Logarithmic Expression	log of 6	$\log (6)$
9786	Subtract	(4a+1)/(a^2-4)-(2a+7)/(a^2-4)	$\frac{4 a + 1}{a^{2} - 4} - \frac{2 a + 7}{a^{2} - 4}$
9787	Evaluate	20/2*(5+5)	$\frac{20}{2} \cdot (5 + 5)$
9788	Multiply	(5+3i)(4+2i)	$(5 + 3 i) (4 + 2 i)$
9789	Evaluate	23/4	$\frac{23}{4}$
9790	Evaluate	216^(4/3)	$216^{\frac{4}{3}}$
9791	Multiply	(5-3i)(2-8i)	$(5 - 3 i) (2 - 8 i)$
9792	Evaluate	22/7	$\frac{22}{7}$
9793	Multiply	(x^2)/(x+5)*(x^2+4x-5)/(x^2-4x)	$\frac{x^{2}}{x + 5} \cdot \frac{x^{2} + 4 x - 5}{x^{2} - 4 x}$
9794	Multiply	(x^2-25)/(x^2+8x+15)*(x^2+3x)/(x-5)	$\frac{x^{2} - 25}{x^{2} + 8 x + 15} \cdot \frac{x^{2} + 3 x}{x - 5}$
9795	Multiply	3.14*10	$3.14 \cdot 10$
9796	Multiply	2 square root of 8x^3(3 square root of 10x^4-x square root of 5x^2)	$2 \sqrt{8 x^{3}} (3 \sqrt{10 x^{4}} - x \sqrt{5 x^{2}})$
9797	Evaluate	17/3	$\frac{17}{3}$
9798	Evaluate	19/4	$\frac{19}{4}$
9799	Find the x and y Intercepts	y=5x^2+5x-10	$y = 5 x^{2} + 5 x - 10$
9800	Find the End Behavior	5x^8-2x^7-8x^6+1	$5 x^{8} - 2 x^{7} - 8 x^{6} + 1$