iven that 2*g**3/3 + 540046*g**2/3 + 1080086*g/3 + 180014 = 0.
-270021, -1
Factor 4*a**2 - 29593808*a + 54737091996304.
4*(a - 3699226)**2
Let -14*u**2 - 11292028*u - 4839438 = 0. What is u?
-806573, -3/7
Let -5*b**5 - 4940*b**4 - 1213190*b**3 + 4479420*b**2 + 513000675*b + 3557763000 = 0. Calculate b.
-495, -11, 24
Let -3105*r**4 - 51216971*r**3/5 - 42266783779*r**2/5 - 42204705529*r/5 + 10876804/5 = 0. What is r?
-1649, -1, 4/15525
Solve -2*w**2 - 38194*w - 953600 = 0.
-19072, -25
What is i in -82*i**4 - 160*i**3 + 57490*i**2 + 54760*i - 2808 = 0?
-27, -1, 2/41, 26
Solve 35*a**5 - 53365*a**4 + 250260*a**3 + 820660*a**2 + 212800*a = 0 for a.
-2, -2/7, 0, 7, 1520
Factor 2*g**3 + 64664230*g**2 + 522682797854496*g - 522682862518728.
2*(g - 1)*(g + 16166058)**2
Determine d so that -d**2 - 1650185*d + 1650186 = 0.
-1650186, 1
Factor 3*k**4 - 164328*k**3 + 2271731634*k**2 - 586760566776*k + 38248988474667.
3*(k - 27257)**2*(k - 131)**2
Let 5*l**3 + 385770*l**2 + 217144485*l + 30669281660 = 0. What is l?
-76588, -283
Factor -2*c**3 + 1678*c**2 - 386678*c + 14184810.
-2*(c - 397)**2*(c - 45)
Determine s, given that s**5/3 + 10939*s**4/3 - 320143*s**3 - 12869411*s**2/3 - 22813784*s/3 - 3638580 = 0.
-11026, -10, -1, 99
Solve 2*f**2/3 - 30433564*f = 0.
0, 45650346
What is p in 2*p**3/15 + 262574*p**2/15 + 8925782*p/15 + 25288078/5 = 0?
-131253, -17
Let -157*n**4 - 341631*n**3 + 5498432*n**2 - 22060224*n + 140288 = 0. What is n?
-2192, 1/157, 8
Let -p**5/3 + 4027*p**4/3 + 43369*p**3 - 889259*p**2/3 + 1372094*p/3 - 205656 = 0. What is p?
-38, 1, 4, 4059
Let 1825794408387*k**4 - 3651579455250*k**3 - 5477401948197*k**2 - 28084596*k - 36 = 0. What is k?
-1, -2/780127, 3
Solve -b**3/2 + 19599*b**2/2 + 1260480*b + 40400896 = 0 for b.
-64, 19727
Solve -4*k**5 + 2216*k**4 - 225080*k**3 + 2989744*k**2 - 9121092*k + 6354216 = 0.
1, 3, 11, 113, 426
Solve 3*f**3/7 + 102966*f**2 - 720765*f/7 = 0.
-240255, 0, 1
Find c such that -5*c**3/2 + 68355*c**2/2 - 239150*c + 409920 = 0.
3, 4, 13664
Solve c**2/2 - 9517*c + 4090680 = 0 for c.
440, 18594
Solve -162*i**5/11 + 143627328*i**4/11 - 63834344*i**3/11 + 7092704*i**2/11 = 0 for i.
0, 2/9, 886588
What is a in 2*a**4/13 + 146990*a**3/13 - 734992*a**2/13 + 588000*a/13 = 0?
-73500, 0, 1, 4
Factor 13778*o**2/3 + 153304652*o/3 + 426446442242/3.
2*(83*o + 461761)**2/3
Factor 633*f**2 - 59882439*f + 567606.
3*(f - 94601)*(211*f - 2)
Solve -o**3/6 - 1563*o**2 - 4802706*o - 4853603268 = 0.
-3942, -2718
Find m, given that -5*m**2 - 22860980*m - 26131220328020 = 0.
-2286098
Factor r**2 + 23142*r - 3025360.
(r - 130)*(r + 23272)
Factor 5*p**2/3 + 215405*p/3 - 1508570.
5*(p - 21)*(p + 43102)/3
What is s in -2*s**5/11 + 2220*s**4/11 - 146502*s**3/11 + 2977244*s**2/11 - 17351616*s/11 + 30580416/11 = 0?
4, 27, 34, 1041
Factor -2*o**4/5 + 177300*o**3 - 82432968*o**2/5 + 2555302844*o/5 - 26404180374/5.
-2*(o - 443157)*(o - 31)**3/5
Factor j**2/2 - 61271636*j + 1877106689058248.
(j - 61271636)**2/2
Suppose -6*g**5/17 + 389440*g**4/17 + 5582978*g**3/17 + 14802564*g**2/17 - 37394752*g/17 + 16619776/17 = 0. Calculate g.
-8, 2/3, 1, 64921
Factor 32*g**2/7 - 36502460*g/7 - 4562808/7.
4*(g - 1140702)*(8*g + 1)/7
What is g in g**2 - 5148*g - 970060 = 0?
-182, 5330
Find s, given that 44*s**5/5 + 247274*s**4/5 + 69725776*s**3 + 684111420*s**2 + 1636380900*s - 236040750 = 0.
-2805, -5, 3/22
Factor 2*i**2/5 + 112016*i/5 + 6529798.
2*(i + 293)*(i + 55715)/5
Determine g so that -g**2/5 + 2506512*g/5 + 2506513/5 = 0.
-1, 2506513
Let -2*f**2/5 + 188422*f/5 + 5088852/5 = 0. What is f?
-27, 94238
Solve 7*x**2/4 - 23337192*x + 6667769 = 0 for x.
2/7, 13335538
Factor 5*a**2 - 92254880*a + 425548144190720.
5*(a - 9225488)**2
Find t, given that t**4/4 + 613341*t**3/4 + 3680015*t**2/4 + 3066675*t/4 = 0.
-613335, -5, -1, 0
Find l such that 2*l**5/15 - 1528*l**4/15 + 202462*l**3/15 + 203992*l**2/15 = 0.
-1, 0, 172, 593
Suppose -255*t**4/2 + 37939*t**3/4 - 3681*t**2 - 37*t = 0. Calculate t.
-1/102, 0, 2/5, 74
Factor s**2/10 + 1762895*s/2 - 26443443/5.
(s - 6)*(s + 8814481)/10
Determine b, given that -b**3 + 19865*b**2 + 616776*b = 0.
-31, 0, 19896
Solve -5068*o**5 + 456104*o**4 + 2368196*o**3 + 3838880*o**2 + 1937936*o + 6080 = 0 for o.
-2, -1, -4/1267, 95
Determine s so that 4*s**5 - 12664*s**4/7 - 510044*s**3/7 - 3614872*s**2/7 - 642224*s + 227360 = 0.
-29, -7, -2, 2/7, 490
Factor -2*f**2 - 16816*f - 50430.
-2*(f + 3)*(f + 8405)
Solve 2*y**5 - 3059298*y**4/5 + 46797071934*y**3 - 421165570894*y**2/5 + 28077459984*y + 46795970592/5 = 0.
-1/5, 1, 152964
Factor -3*y**4 + 33870*y**3 - 4764171*y**2 + 168591204*y.
-3*y*(y - 11148)*(y - 71)**2
Let p**4/4 - 477*p**3/4 - 1323927*p**2/2 + 542711745*p - 3232414350 = 0. Calculate p.
-1749, 6, 1110
Factor p**2 - 14291253*p + 57164996.
(p - 14291249)*(p - 4)
Determine a, given that -4*a**4 + 11184*a**3 - 6583272*a**2 + 12954320*a + 98414700 = 0.
-3, 5, 839, 1955
Find s, given that 3*s**2/5 + 11425052*s/5 - 3808351/5 = 0.
-3808351, 1/3
Factor o**4 + 3759*o**3 + 130304*o**2 - 134064*o.
o*(o - 1)*(o + 36)*(o + 3724)
Find y such that -5*y**5 + 12620*y**4 - 4207945*y**3 + 384269590*y**2 - 1123542300*y + 743468040 = 0.
1, 2, 186, 2149
Suppose -u**5/3 - 40186*u**4/3 - 120547*u**3/3 + 80378*u**2/3 + 482204*u/3 + 321464/3 = 0. Calculate u.
-40183, -2, -1, 2
Factor -2*f**3 - 1702*f**2 + 49282*f + 50982.
-2*(f - 29)*(f + 1)*(f + 879)
Determine v, given that 4*v**4 - 329432*v**3 - 3953676*v**2 - 6919040*v - 3294800 = 0.
-10, -1, 82370
Find u such that 238*u**2/3 + 47296*u/3 - 4378 = 0.
-199, 33/119
Find r such that 5*r**4 - 1780*r**3 - 8924385*r**2 + 5809293000*r + 17508150000 = 0.
-1441, -3, 900
Factor 6260*o**4/9 - 33382*o**3/3 - 224*o**2/9.
2*o**2*(o - 16)*(3130*o + 7)/9
What is n in -n**3/8 + 398200*n**2 - 12742387*n/8 + 2389197/2 = 0?
1, 3, 3185596
Factor 4*p**3 + 11820*p**2 + 350876*p - 362700.
4*(p - 1)*(p + 31)*(p + 2925)
Factor 2*b**2/9 + 25328*b/9 - 10900630/3.
2*(b - 1181)*(b + 13845)/9
Find v, given that 3*v**4 + 7926*v**3 + 1113465*v**2 - 2258658*v = 0.
-2493, -151, 0, 2
Suppose s**4/3 - 113434*s**3/3 - 1323727*s**2 - 8850582*s = 0. What is s?
-26, -9, 0, 113469
Find d such that -5*d**4/4 + 3505*d**3 - 2430900*d**2 + 647580080*d - 60001982080 = 0.
292, 1928
Factor -2*j**2/9 + 6607412*j/9 - 5457236667218/9.
-2*(j - 1651853)**2/9
Solve 882*d**5/5 - 11320466*d**4/5 - 11373574*d**3/5 + 11269122*d**2/5 + 11372692*d/5 + 51344/5 = 0.
-1, -2/441, 1, 12836
Find a, given that 370*a**5/3 + 10666*a**4/3 + 12106*a**3 + 7650*a**2 = 0.
-25, -3, -153/185, 0
Factor -2*v**2 + 11846480*v.
-2*v*(v - 5923240)
Factor 2*v**3/13 + 289992*v**2/13 + 10622392200*v/13 + 7987858937856/13.
2*(v + 768)*(v + 72114)**2/13
Suppose 5*q**5 - 2375*q**4 + 224520*q**3 - 4089600*q**2 = 0. What is q?
0, 24, 96, 355
Let 55*k**4/3 + 20462*k**3/9 + 432383*k**2/9 + 582*k = 0. Calculate k.
-97, -27, -2/165, 0
Factor -2*m**2/7 + 440267918*m/7.
-2*m*(m - 220133959)/7
Factor p**4/2 + 6825*p**3/2 + 17043*p**2 - 47740*p.
p*(p - 2)*(p + 7)*(p + 6820)/2
Let -4*b**2 + 2780916768*b - 483343629408972864 = 0. Calculate b.
347614596
Solve -q**2/6 + 198995*q/6 - 397982/3 = 0.
4, 198991
Determine a, given that 77*a**4 + 1237312*a**3 - 2490926*a**2 + 1269608*a - 16071 = 0.
-16071, 1/77, 1
Find z, given that 2*z**5/7 - 63582*z**4/7 + 562348*z**3 - 64730760*z**2/7 + 114224400*z/7 = 0.
0, 2, 30, 31729
Suppose -n**4/2 - 1274*n**3 + 25616*n**2 - 164224*n + 328704 = 0. Calculate n.
-2568, 4, 8
Let 891*c**5 - 18459*c**4/4 - 1924379*c**3/2 + 1138675*c**2 - 743075*c/2 + 81375/4 = 0. What is c?
-31, 3/44, 5/9, 35
Factor -2*p**3/5 - 334708*p**2/5 - 2810550616*p - 820525881840.
-2*(p + 294)*(p + 83530)**2/5
Solve -12*s**4 - 268692080*s**3 - 1504071896896164*s**2 - 4010856212332080*s + 1504071180384048 = 0.
-11195502, -3, 1/3
Factor -4*k**2 - 2718068*k - 21744288.
-4*(k + 8)*(k + 679509)
What is s in 15*s**5 + 729920*s**4 + 169704460*s**3 + 9998709360*s**2 + 12807968320*s - 13032943360 = 0?
-48428, -116, -2, 2/3
Let -2*m**5/15 - 1474*m**4/15 - 8634*m**3/5 - 12646*m**2/15 + 213232*m/15 + 97784/5 = 0. What is m?
-719, -17, -2, 3
What is y in 2*y**2 - 79452*y + 635488 = 0?
8, 39718
Let c**5/5 - 3856*c**4 + 18597485*c**3 - 111492382*c**2 + 222923084*c - 742974152/5 = 0. Calculate c.
2, 9637
Factor 4