)**2*(g + 201534)/3
Factor h**5/2 + 23*h**4 - 39819*h**3/2 - 464002*h**2 + 203495138*h.
h*(h - 131)**2*(h + 154)**2/2
Find j, given that j**3 + 559*j**2 + 69384*j - 2506644 = 0.
-294, 29
Determine l so that 7*l**4 + 90*l**3 + 65*l**2 - 930*l - 792 = 0.
-11, -4, -6/7, 3
Factor -u**3 + 1143*u**2 + 56592*u + 686016.
-(u - 1191)*(u + 24)**2
Find h, given that 2*h**3/5 + 382*h**2/5 + 22518*h/5 + 380538/5 = 0.
-81, -29
Factor v**2/3 - 901*v/3 - 11882/3.
(v - 914)*(v + 13)/3
Solve -5*u**2 - 35640*u + 750645 = 0.
-7149, 21
Factor 2*x**2 + 451730*x - 903468.
2*(x - 2)*(x + 225867)
Factor -t**5 - 4*t**4 - 2*t**3 + 4*t**2 + 3*t.
-t*(t - 1)*(t + 1)**2*(t + 3)
Find z, given that 2*z**3 + 952*z**2 - 565862*z + 59447300 = 0.
-850, 187
Factor -2*x**2 - 137116*x - 2350099682.
-2*(x + 34279)**2
What is g in g**3/4 + 4741*g**2/4 + 9470*g + 18932 = 0?
-4733, -4
Factor 22*g**2/13 + 356*g/13 - 2928/13.
2*(g - 6)*(11*g + 244)/13
Determine w so that -2*w**4/9 - 94*w**3/9 - 1210*w**2/9 - 2018*w/9 + 3220/3 = 0.
-23, -21, -5, 2
Factor -2*b**3 - 45068*b**2 + 90142*b - 45072.
-2*(b - 1)**2*(b + 22536)
Factor 3*p**3 - 501*p**2 - 8190*p.
3*p*(p - 182)*(p + 15)
Factor -60*p**2 - 21125*p - 1760.
-5*(p + 352)*(12*p + 1)
Let 4*t**3/9 - 20*t**2/9 - 32*t - 64 = 0. Calculate t.
-4, -3, 12
What is l in -2*l**3 - 13558*l**2 + 40692*l = 0?
-6782, 0, 3
Factor 2*f**3/9 - 326*f/9 + 308/3.
2*(f - 11)*(f - 3)*(f + 14)/9
Solve -2*p**2/5 - 2292*p/5 + 1840 = 0 for p.
-1150, 4
Let -2*m**2 + 13480*m - 40422 = 0. What is m?
3, 6737
Factor 3*c**3 - 212*c**2 + 4405*c - 27300.
(c - 39)*(c - 20)*(3*c - 35)
Determine c, given that -c**5 - 2267*c**4 + 13663*c**3 + 56843*c**2 + 40914*c = 0.
-2273, -2, -1, 0, 9
Find w, given that 2*w**4/7 - 97708*w**3/7 + 227287416*w**2 - 8632829592208*w/7 - 34556780813248/7 = 0.
-4, 16286
Solve 4*i**2 - 180*i + 2016 = 0.
21, 24
Solve 84*h**5 - 49916*h**4 + 9891272*h**3 - 654383664*h**2 + 153366048*h + 124198272 = 0.
-1/3, 4/7, 198
Find s, given that s**4 - 1670*s**3 + 3336*s**2 = 0.
0, 2, 1668
Factor 3*s**2 + 103794*s - 1661472.
3*(s - 16)*(s + 34614)
Find u such that 4*u**4 + 2865*u**3 - 10804*u**2 - 2880*u = 0.
-720, -1/4, 0, 4
Solve -16*k**3 + 133272*k**2 - 1398033*k + 3668679 = 0.
21/4, 8319
Suppose 3*v**5 + 2112*v**4 + 375885*v**3 + 1459500*v**2 - 1837500*v = 0. Calculate v.
-350, -5, 0, 1
Determine a so that a**5 + 35*a**4 - 825*a**3 + 3085*a**2 + 824*a - 3120 = 0.
-52, -1, 1, 5, 12
Find x such that 5*x**5/4 - 1163*x**4/2 + 12009*x**3/4 - 5645*x**2 + 4603*x - 1380 = 0.
1, 6/5, 2, 460
Suppose -v**2/3 + 71*v/3 - 68 = 0. Calculate v.
3, 68
Suppose -2*t**3/5 - 626*t**2/5 + 1152*t - 11592/5 = 0. What is t?
-322, 3, 6
Suppose 20*x**4 - 19205*x**3 - 149935*x**2 - 101640*x = 0. What is x?
-7, -3/4, 0, 968
Solve 2*w**4/3 - 50*w**3/3 - 398*w**2/3 + 2450*w/3 + 4900 = 0 for w.
-7, -5, 7, 30
Suppose 88*i**4 + 7052*i**3 + 27916*i**2 + 19008*i - 10944 = 0. Calculate i.
-76, -3, -3/2, 4/11
Factor 3*r**3/7 + 61221*r**2/7 + 367218*r/7.
3*r*(r + 6)*(r + 20401)/7
Find o, given that 4*o**4 + 340*o**3 + 6108*o**2 - 47812*o + 41360 = 0.
-47, -44, 1, 5
Factor 2*h**3/7 + 1492*h**2/7 - 24256*h/7 + 97536/7.
2*(h - 8)**2*(h + 762)/7
Determine y, given that -4*y**2 + 64180*y + 256784 = 0.
-4, 16049
Factor -9*j**2 - 5730591*j - 1910196.
-3*(j + 636732)*(3*j + 1)
Let -1875*l**4/2 - 16365150*l**3 - 71419478406*l**2 - 11426802336*l - 457067904 = 0. What is l?
-8728, -2/25
Factor -19*v**2/4 - 1747*v/2 + 92.
-(v + 184)*(19*v - 2)/4
Suppose 3*j**4 - 564*j**3 - 26847*j**2 - 301080*j - 274800 = 0. Calculate j.
-20, -1, 229
Find u such that 4*u**4 + 1280*u**3/7 - 42900*u**2/7 - 4520*u + 12512/7 = 0.
-68, -1, 2/7, 23
Let -4*m**2 - 1004*m + 49224 = 0. What is m?
-293, 42
Let -4*i**5/3 - 614*i**4/3 - 2102*i**3/3 - 286*i**2/3 + 702*i + 300 = 0. What is i?
-150, -3, -1, -1/2, 1
Solve -15*g**5 + 25*g**4 + 655*g**3 - 1705*g**2 + 620*g + 420 = 0.
-7, -1/3, 1, 2, 6
Factor -3*k**2/7 + 223899*k/7 + 895644/7.
-3*(k - 74637)*(k + 4)/7
Suppose u**4/10 + 81*u**3/10 - 2544*u**2/5 - 42104*u - 207936/5 = 0. What is u?
-76, -1, 72
Factor -4*o**3 - 2387236*o**2 - 356179788860*o + 356182176100.
-4*(o - 1)*(o + 298405)**2
What is a in -5*a**4 - 655*a**3 - 10405*a**2 - 26705*a - 16950 = 0?
-113, -15, -2, -1
Factor -3*b**2/7 - 126*b - 63855/7.
-3*(b + 129)*(b + 165)/7
Find a such that -6597*a**4 + 138531*a**3 - 448470*a**2 - 408*a = 0.
-2/2199, 0, 4, 17
Suppose 5*h**2 + 684140*h + 23402376980 = 0. What is h?
-68414
Determine g, given that g**4 - 8605*g**3/2 + 2151*g**2 = 0.
0, 1/2, 4302
Find v such that -35*v**4 - 865*v**3 - 3415*v**2 + 865*v + 3450 = 0.
-138/7, -5, -1, 1
Solve -u**3 - 14*u**2 + 1337*u - 2610 = 0 for u.
-45, 2, 29
Solve -q**2/4 + 877*q/2 - 15705/4 = 0.
9, 1745
Solve -5*y**3 - 8900*y**2 - 96995*y + 530700 = 0 for y.
-1769, -15, 4
What is r in -r**2/4 - 4195*r/4 - 4193/2 = 0?
-4193, -2
Factor 5*i**3 - 150*i**2 + 645*i - 500.
5*(i - 25)*(i - 4)*(i - 1)
Factor -5*p**4/2 - 3475*p**3/2 - 598535*p**2/2 + 1827015*p/2.
-5*p*(p - 3)*(p + 349)**2/2
Factor 3*x**2 + 1125*x + 47088.
3*(x + 48)*(x + 327)
Let -k**5/10 + 77*k**4/10 - 85*k**3/2 - 77*k**2/10 + 213*k/5 = 0. What is k?
-1, 0, 1, 6, 71
Factor 2*l**3/7 - 936*l**2/7 - 6686*l/7 + 17100/7.
2*(l - 475)*(l - 2)*(l + 9)/7
Factor 1058*o**3/7 + 31924*o**2/7 + 5528*o/7 + 240/7.
2*(o + 30)*(23*o + 2)**2/7
Factor h**2 + 1236*h - 3717.
(h - 3)*(h + 1239)
Let 4*i**3 + 3340*i**2 - 13412*i + 10068 = 0. Calculate i.
-839, 1, 3
Find t, given that 14*t**3 + 7214*t**2 + 16424*t + 4104 = 0.
-513, -2, -2/7
Factor -2*f**5 + 10138*f**4 + 10140*f**3.
-2*f**3*(f - 5070)*(f + 1)
Suppose -2*i**3/7 + 10180*i**2/7 + 52632*i + 3321648/7 = 0. What is i?
-18, 5126
Determine x so that -2*x**3/5 - 596938*x**2/5 - 238774*x - 596934/5 = 0.
-298467, -1
Factor 357139538*b**2/11 + 53452*b/11 + 2/11.
2*(13363*b + 1)**2/11
Solve 405*t**5/2 - 30870*t**4 - 50300*t**3 + 276400*t**2 - 114040*t + 12320 = 0 for t.
-4, 2/9, 2, 154
Factor 5*a**3 - 111050*a**2 + 616716160*a - 1232988160.
5*(a - 11104)**2*(a - 2)
Suppose 14*q**4 - 2138*q**3 + 91974*q**2 - 770350*q + 504100 = 0. Calculate q.
5/7, 10, 71
Suppose x**5/2 - 512*x**4 - 17409*x**3 - 33280*x**2 - 32767*x/2 = 0. Calculate x.
-31, -1, 0, 1057
What is i in 20*i**5 + 1424*i**4 - 305652*i**3 + 9893600*i**2 - 33970000*i + 21000000 = 0?
-175, 4/5, 3, 50
Let 2*i**4/3 - 358*i**3 - 5420*i**2/3 = 0. What is i?
-5, 0, 542
Factor 4*q**2 - 15948*q - 127840.
4*(q - 3995)*(q + 8)
Let 2*n**2 - 15210*n + 560032 = 0. Calculate n.
37, 7568
Find n such that 3*n**4/5 + 85563*n**3/5 + 610213893*n**2/5 + 1829529513*n/5 - 2439828972/5 = 0.
-14259, -4, 1
Factor -5*g**2 - 1785*g - 116530.
-5*(g + 86)*(g + 271)
Solve p**2/6 + 301*p/6 + 50 = 0.
-300, -1
Solve 2*g**4/9 - 3634*g**3/3 + 1648926*g**2 + 4957686*g = 0.
-3, 0, 2727
Let -3*r**4 + 9*r**3 + 2259*r**2 - 4533*r + 2268 = 0. Calculate r.
-27, 1, 28
Factor -2*z**2/5 - 7736*z/5 - 15464/5.
-2*(z + 2)*(z + 3866)/5
Factor 2*x**2/3 + 142*x/3 - 1288.
2*(x - 21)*(x + 92)/3
Factor 36*x**3 - 207984*x**2 + 277264*x - 92416.
4*(x - 5776)*(3*x - 2)**2
Solve -14*k**3/11 + 3042*k**2/11 - 6888*k/11 + 1720/11 = 0 for k.
2/7, 2, 215
Factor 2*p**4 + 22*p**3 - 1604*p**2 + 11264*p - 21312.
2*(p - 18)*(p - 4)**2*(p + 37)
Suppose -3*a**2 + 204*a - 3168 = 0. Calculate a.
24, 44
Suppose -123*b**5 - 851*b**4 - 1037*b**3 + 951*b**2 + 1160*b - 100 = 0. Calculate b.
-5, -2, -1, 10/123, 1
Factor a**3/2 + 949*a**2 + 3790*a + 3788.
(a + 2)**2*(a + 1894)/2
Find v such that 2*v**2 - 238200*v + 238198 = 0.
1, 119099
Suppose 3*i**5 + 114*i**4 + 1404*i**3 + 5070*i**2 - 6591*i = 0. What is i?
-13, 0, 1
Suppose 6*z**4/5 - 1272*z**3/5 - 3894*z**2/5 + 5088*z/5 + 3096 = 0. Calculate z.
-3, -2, 2, 215
Find u, given that 2*u**4/15 - 298*u**3/5 - 4504*u**2/15 - 2408*u/5 - 3616/15 = 0.
-2, -1, 452
Factor -v**2 - 388*v - 3411.
-(v + 9)*(v + 379)
Factor 2*w**2/5 - 2622*w/5 - 29084/5.
2*(w - 1322)*(w + 11)/5
Factor -39*l**2/8 - 4674*l + 8631/8.
-3*(l + 959)*(13*l - 3)/8
What is g in -g**2 + 502*g + 63024 = 0?
-104, 606
Find v, given that 2*v**3/9 + 586*v**2/9 + 2270*v/9 - 4046/3 = 0.
-289, -7, 3
Factor -5*l**3 + 4095*l**2 + 16440*l + 16460.
-5*(l - 823)*(l + 2)**2
Solve -2*f**2/13 - 51368*f/13 - 51366/13 = 0 for f.
-25683, -1
Solve -2*t**3/3 - 1684*t**2/3 - 115304*t + 1209