Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16801	Convert to Interval Notation	1/5b+3/4b-1/8>1/8*(b+1)+b	$\frac{1}{5} b + \frac{3}{4} b - \frac{1}{8} > \frac{1}{8} \cdot (b + 1) + b$
16802	Convert to Interval Notation	(10k-3)/-6>3	$\frac{10 k - 3}{- 6} > 3$
16803	Convert to Interval Notation	-3/(x^4)>0	$- \frac{3}{x^{4}} > 0$
16804	Convert to Interval Notation	(5x-4)/-7>4	$\frac{5 x - 4}{- 7} > 4$
16805	Convert to Interval Notation	7/12x-7/4<5/6x+3/4	$\frac{7}{12} x - \frac{7}{4} < \frac{5}{6} x + \frac{3}{4}$
16806	Convert to Interval Notation	-x^2+25>0	$- x^{2} + 25 > 0$
16807	Convert to Interval Notation	x^2+3x+8>3-3x	$x^{2} + 3 x + 8 > 3 - 3 x$
16808	Find the Roots/Zeros Using the Rational Roots Test	x^3+15x^2+71x+105	$x^{3} + 15 x^{2} + 71 x + 105$
16809	Find the Roots/Zeros Using the Rational Roots Test	y*4+43	$y \cdot 4 + 43$
16810	Find the Roots/Zeros Using the Rational Roots Test	y=0.0555x^3-1.2867x^2+9.47x-17.1	$y = 0.0555 x^{3} - 1.2867 x^{2} + 9.47 x - 17.1$
16811	Simplify	( cube root of 27)-( square root of 36)	$(\sqrt[3]{27}) - (\sqrt{36})$
16812	Simplify	(8+ square root of -144)*( square root of -196- square root of -225)	$(8 + \sqrt{- 144}) \cdot (\sqrt{- 196} - \sqrt{- 225})$
16813	Simplify	1/2*(1+3 square root of 17)	$\frac{1}{2} \cdot (1 + 3 \sqrt{17})$
16814	Simplify	1/4*(4+ square root of 2)	$\frac{1}{4} \cdot (4 + \sqrt{2})$
16815	Simplify	(4 square root of 3)/(2- square root of 2)*(2+ square root of 2)/(2+ square root of 2)	$\frac{4 \sqrt{3}}{2 - \sqrt{2}} \cdot \frac{2 + \sqrt{2}}{2 + \sqrt{2}}$
16816	Simplify	( square root of 2)/( square root of 5)*( square root of 10)/( square root of 5)	$\frac{\sqrt{2}}{\sqrt{5}} \cdot \frac{\sqrt{10}}{\sqrt{5}}$
16817	Simplify	square root of -128+ square root of -95	$\sqrt{- 128} + \sqrt{- 95}$
16818	Simplify	square root of -324- square root of 169	$\sqrt{- 324} - \sqrt{169}$
16819	Simplify	square root of 8* square root of 9/20	$\sqrt{8} \cdot \sqrt{\frac{9}{20}}$
16820	Simplify	square root of 98- square root of 8+ square root of 18	$\sqrt{98} - \sqrt{8} + \sqrt{18}$
16821	Simplify	18 root of 467*11 root of -323	$\sqrt[18]{467} \cdot \sqrt[11]{- 323}$
16822	Simplify	fourth root of 16-6 cube root of 343+18* fifth root of 243- square root of 196	$\sqrt[4]{16} - 6 \sqrt[3]{343} + 18 \cdot \sqrt[5]{243} - \sqrt{196}$
16823	Simplify	14+ square root of 17+8.24	$14 + \sqrt{17} + 8.24$
16824	Simplify	2(-( square root of 5)/3)*(2/3)	$2 (- \frac{\sqrt{5}}{3}) \cdot (\frac{2}{3})$
16825	Simplify	-2 cube root of 16- cube root of 24- cube root of 24-7 square root of 200	$- 2 \sqrt[3]{16} - \sqrt[3]{24} - \sqrt[3]{24} - 7 \sqrt{200}$
16826	Simplify	3 square root of 6*(5 square root of 8)	$3 \sqrt{6} \cdot (5 \sqrt{8})$
16827	Simplify	4 square root of 27- square root of 75	$4 \sqrt{27} - \sqrt{75}$
16828	Simplify	6 square root of 18- square root of 32+2 square root of 50	$6 \sqrt{18} - \sqrt{32} + 2 \sqrt{50}$
16829	Convert to Interval Notation	(4-x)>18x+5	$(4 - x) > 18 x + 5$
16830	Convert to Interval Notation	(7)\|x+5\|+8>5	$(7) \| x + 5 \| + 8 > 5$
16831	Convert to Interval Notation	(s+3)(s-8)>0	$(s + 3) (s - 8) > 0$
16832	Convert to Interval Notation	\|x^2-5\|<4x	$\| x^{2} - 5 \| < 4 x$
16833	Convert to Interval Notation	\|(x+6)/3\|>2	$\| \frac{x + 6}{3} \| > 2$
16834	Convert to Interval Notation	\|0.2x-0.6\|>0.6	$\| 0.2 x - 0.6 \| > 0.6$
16835	Convert to Interval Notation	\|2x-4\|<\|x-1\|	$\| 2 x - 4 \| < \| x - 1 \|$
16836	Convert to Interval Notation	\|3x\|>18	$\| 3 x \| > 18$
16837	Convert to Interval Notation	\|3x-1\|+2>5x	$\| 3 x - 1 \| + 2 > 5 x$
16838	Expand Using Pascal's Triangle	(x+2y)^2	${(x + 2 y)}^{2}$
16839	Convert to Interval Notation	\|6x\|<-5	$\| 6 x \| < - 5$
16840	Convert to Interval Notation	\|6x-3\|<9	$\| 6 x - 3 \| < 9$
16841	Use the Rational Roots Test to Find All Possible Roots	x^3-7x^2+19x-13	$x^{3} - 7 x^{2} + 19 x - 13$
16842	Use the Rational Roots Test to Find All Possible Roots	100r^2-60r+c	$100 r^{2} - 60 r + c$
16843	Use the Rational Roots Test to Find All Possible Roots	2x^2+4x-5	$2 x^{2} + 4 x - 5$
16844	Use the Rational Roots Test to Find All Possible Roots	3x^3-x^2-75x+25	$3 x^{3} - x^{2} - 75 x + 25$
16845	Use the Rational Roots Test to Find All Possible Roots	4(x+2)^2+13	$4 {(x + 2)}^{2} + 13$
16846	Use the Rational Roots Test to Find All Possible Roots	5x^3+28x^2+16x+5	$5 x^{3} + 28 x^{2} + 16 x + 5$
16847	Use the Rational Roots Test to Find All Possible Roots	C(x)=x^2-60x+909	$C (x) = x^{2} - 60 x + 909$
16848	Use the Rational Roots Test to Find All Possible Roots	f(x)=(2x+3)^7	$f (x) = {(2 x + 3)}^{7}$
16849	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^3+8x^2-5x-7	$f (x) = 3 x^{3} + 8 x^{2} - 5 x - 7$
16850	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^3-x^2-50x+25	$f (x) = 2 x^{3} - x^{2} - 50 x + 25$
16851	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^4-15x^3+57x^2-103x+39	$f (x) = 2 x^{4} - 15 x^{3} + 57 x^{2} - 103 x + 39$
16852	Use the Rational Roots Test to Find All Possible Roots	f(x)=e((-(x-12)^2)/30)/( square root of 30p)	$f (x) = e \cdot \frac{\frac{- {(x - 12)}^{2}}{30}}{\sqrt{30 \cdot p}}$
16853	Use the Rational Roots Test to Find All Possible Roots	x^3+14x^2+60x+72	$x^{3} + 14 x^{2} + 60 x + 72$
16854	Find the Number of Possibilities	19 permute 2	${}_{19}P_{2}$
16855	Find the Roots/Zeros Using the Rational Roots Test	x^3+16x^2+75x+108	$x^{3} + 16 x^{2} + 75 x + 108$
16856	Find the Roots/Zeros Using the Rational Roots Test	x^3-5x^2+12x-8	$x^{3} - 5 x^{2} + 12 x - 8$
16857	Find the Roots/Zeros Using the Rational Roots Test	12x^2+12x-240	$12 x^{2} + 12 x - 240$
16858	Find the Roots/Zeros Using the Rational Roots Test	2x^2+20x+48	$2 x^{2} + 20 x + 48$
16859	Find the Roots/Zeros Using the Rational Roots Test	2x^3-7x^2-17x+10	$2 x^{3} - 7 x^{2} - 17 x + 10$
16860	Find the Roots/Zeros Using the Rational Roots Test	2x^4-x^3-73x^2+36x+36	$2 x^{4} - x^{3} - 73 x^{2} + 36 x + 36$
16861	Find the Roots/Zeros Using the Rational Roots Test	3x^2-6x	$3 x^{2} - 6 x$
16862	Find the Roots/Zeros Using the Rational Roots Test	4r^2+20r+25	$4 r^{2} + 20 r + 25$
16863	Find the Roots/Zeros Using the Rational Roots Test	4x^4+15x^2-4	$4 x^{4} + 15 x^{2} - 4$
16864	Find the Roots/Zeros Using the Rational Roots Test	x^2-21x+98	$x^{2} - 21 x + 98$
16865	Find the Roots/Zeros Using the Rational Roots Test	1/3*(6m+15)+3	$\frac{1}{3} \cdot (6 m + 15) + 3$
16866	Find the Roots/Zeros Using the Rational Roots Test	1/3*(x-2)-5	$\frac{1}{3} \cdot (x - 2) - 5$
16867	Find the Roots/Zeros Using the Rational Roots Test	t^4-2t^3+2t^2-10t-15	$t^{4} - 2 t^{3} + 2 t^{2} - 10 t - 15$
16868	Find the Roots/Zeros Using the Rational Roots Test	x/5+3/25*(12000-x)	$\frac{x}{5} + \frac{3}{25} \cdot (12000 - x)$
16869	Find the Roots/Zeros Using the Rational Roots Test	x^3+0.5x^2-1.3999x-0.29055	$x^{3} + 0.5 x^{2} - 1.3999 x - 0.29055$
16870	Find the Roots/Zeros Using the Rational Roots Test	x^3+15x^2+74x+120	$x^{3} + 15 x^{2} + 74 x + 120$
16871	Find the Roots/Zeros Using the Rational Roots Test	x^3+6x^2-31x-36	$x^{3} + 6 x^{2} - 31 x - 36$
16872	Find the Roots/Zeros Using the Rational Roots Test	x^3-10x^2+44x-69	$x^{3} - 10 x^{2} + 44 x - 69$
16873	Find the Roots/Zeros Using the Rational Roots Test	x^3-14x-8	$x^{3} - 14 x - 8$
16874	Find the Roots/Zeros Using the Rational Roots Test	x^3-14x-8=0	$x^{3} - 14 x - 8 = 0$
16875	Find the Roots/Zeros Using the Rational Roots Test	x^3-6x-4	$x^{3} - 6 x - 4$
16876	Find the Roots/Zeros Using the Rational Roots Test	x^4-x^3-x^2+101x+100	$x^{4} - x^{3} - x^{2} + 101 x + 100$
16877	Find the Roots/Zeros Using the Rational Roots Test	x^4+3x^3+3x^2-9x-18	$x^{4} + 3 x^{3} + 3 x^{2} - 9 x - 18$
16878	Use the Rational Roots Test to Find All Possible Roots	f(x)=-2/x+2	$f (x) = - \frac{2}{x} + 2$
16879	Use the Rational Roots Test to Find All Possible Roots	f(x) = square root of 10x+ square root of 2500-2.5x+ square root of 9000-9x	$f (x) = \sqrt{10 x} + \sqrt{2500 - 2.5 x} + \sqrt{9000 - 9 x}$
16880	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+4x^2-18x-21	$f (x) = x^{3} + 4 x^{2} - 18 x - 21$
16881	Use the Rational Roots Test to Find All Possible Roots	f(x)=x^3+6x^2-138x-143	$f (x) = x^{3} + 6 x^{2} - 138 x - 143$
16882	Use the Rational Roots Test to Find All Possible Roots	f(x)=-11x^4+8x^3+12x^2-1x-18	$f (x) = - 11 x^{4} + 8 x^{3} + 12 x^{2} - 1 x - 18$
16883	Use the Rational Roots Test to Find All Possible Roots	f(x)=-2x^4+4x^3+79x^2-100x+10	$f (x) = - 2 x^{4} + 4 x^{3} + 79 x^{2} - 100 x + 10$
16884	Use the Rational Roots Test to Find All Possible Roots	presin(t)	presin $(t)$
16885	Determine the Possible Number of Real Roots	f(x)-16x^2+200x+4	$f (x) - 16 x^{2} + 200 x + 4$
16886	Determine the Possible Number of Real Roots	x^3+22x^2+157x+360	$x^{3} + 22 x^{2} + 157 x + 360$
16887	Determine the Possible Number of Real Roots	y=63x^3-160x^2-91x-12	$y = 63 x^{3} - 160 x^{2} - 91 x - 12$
16888	Use the Rational Roots Test to Find All Possible Roots	x^2-2x-24	$x^{2} - 2 x - 24$
16889	Use the Rational Roots Test to Find All Possible Roots	10x+36-38x-47	$10 x + 36 - 38 x - 47$
16890	Use the Rational Roots Test to Find All Possible Roots	2x^2+2	$2 x^{2} + 2$
16891	Use the Rational Roots Test to Find All Possible Roots	2x^3+3x^2-29x+30	$2 x^{3} + 3 x^{2} - 29 x + 30$
16892	Use the Rational Roots Test to Find All Possible Roots	36y^4+24y^2	$36 y^{4} + 24 y^{2}$
16893	Determine the Possible Number of Real Roots	31a^2+31y^2	$31 a^{2} + 31 y^{2}$
16894	Determine the Possible Number of Real Roots	49x^7-448x^6-656x^5+2754x^4-158537x^3+126934x^2+410424x-249280	$49 x^{7} - 448 x^{6} - 656 x^{5} + 2754 x^{4} - 158537 x^{3} + 126934 x^{2} + 410424 x - 249280$
16895	Determine the Possible Number of Real Roots	5x^2-6xy+5y^2-14x+2y	$5 x^{2} - 6 x y + 5 y^{2} - 14 x + 2 y$
16896	Determine the Possible Number of Real Roots	5x^4-2x^3-8x^2-3x+9	$5 x^{4} - 2 x^{3} - 8 x^{2} - 3 x + 9$
16897	Determine the Possible Number of Real Roots	6.5x-5+x-1.3	$6.5 x - 5 + x - 1.3$
16898	Determine the Possible Number of Real Roots	6v^3-16v^2+21v-56	$6 v^{3} - 16 v^{2} + 21 v - 56$
16899	Determine the Possible Number of Real Roots	8r^3-64r^2+r-8	$8 r^{3} - 64 r^{2} + r - 8$
16900	Determine the Possible Number of Real Roots	8 square root of 2-4i	$8 \sqrt{2} - 4 i$