9)*(n + 411)
Solve -2*k**2/5 + 2338*k/5 - 30056/5 = 0 for k.
13, 1156
Factor 2*t**2/11 - 3170*t/11 + 31500/11.
2*(t - 1575)*(t - 10)/11
Factor 2*z**2/9 + 842*z/9 + 1660/3.
2*(z + 6)*(z + 415)/9
Let -6*c**2 + 828344*c - 85769222792/3 = 0. What is c?
207086/3
Determine q so that -45*q**5 - 155*q**4 + 345*q**3 - 45*q**2 - 100*q = 0.
-5, -4/9, 0, 1
Factor 3*u**2/2 - 117*u/2 + 435.
3*(u - 29)*(u - 10)/2
Determine z, given that 4*z**5 + 124*z**4 - 1668*z**3 + 7236*z**2 - 13392*z + 9072 = 0.
-42, 2, 3
Solve -2*t**2 + 43260*t - 233928450 = 0 for t.
10815
Let u**2 - 10952*u - 32865 = 0. What is u?
-3, 10955
Factor -b**2/2 - 565*b/2 + 3757.
-(b - 13)*(b + 578)/2
What is k in -3*k**2 - 5782758*k - 2786690840547 = 0?
-963793
Solve -2645*n**5 - 65665*n**4 - 324435*n**3 + 462605*n**2 - 72920*n + 3060 = 0.
-17, -9, 2/23, 1
Factor -q**2/3 + 239*q - 3510.
-(q - 702)*(q - 15)/3
Let -i**4/5 - 8988*i**3/5 + 216096*i**2/5 - 1729792*i/5 + 4614144/5 = 0. Calculate i.
-9012, 8
Suppose -3*o**3/5 + 711*o**2/5 - 35694*o/5 - 36408/5 = 0. Calculate o.
-1, 74, 164
Factor -w**5 + 10*w**4 - 33*w**3 + 44*w**2 - 20*w.
-w*(w - 5)*(w - 2)**2*(w - 1)
Factor -4*q**2 - 885472*q - 49003791424.
-4*(q + 110684)**2
Factor -p**3/3 + 6970*p**2/3 - 16247*p.
-p*(p - 6963)*(p - 7)/3
Factor 4*b**2 - 20580*b - 103000.
4*(b - 5150)*(b + 5)
Suppose 49*h**4 - 693*h**3 - 9042*h**2 - 21020*h - 13800 = 0. What is h?
-6, -10/7, 23
Factor -14*y**3/3 - 519*y**2/2 - 1431*y - 4167/2.
-(y + 3)**2*(28*y + 1389)/6
Solve -4*a**4 - 5684*a**3 - 204832*a**2 = 0 for a.
-1384, -37, 0
Solve -5*s**3 - 44610*s**2 - 99502605*s = 0.
-4461, 0
What is f in -2*f**4 + 886*f**2 + 1764*f + 880 = 0?
-20, -1, 22
What is u in 3*u**5/2 - 51*u**4/2 - 8709*u**3/2 + 322119*u**2/2 - 1517481*u = 0?
-62, 0, 21, 37
What is o in -9*o**3 + 67371*o**2 + 89831*o/4 + 3743/2 = 0?
-1/6, 7486
Factor -4*p**3 - 1356*p**2 - 14472*p - 13120.
-4*(p + 1)*(p + 10)*(p + 328)
Factor -3*m**2 - 558*m + 561.
-3*(m - 1)*(m + 187)
Let p**5/6 - 141*p**4 + 419*p**3 + 6314*p**2/3 + 4775*p/2 + 843 = 0. Calculate p.
-1, 6, 843
Factor 2*b**3/7 - 166*b**2/7 - 172*b/7 + 48.
2*(b - 84)*(b - 1)*(b + 2)/7
Let -5*o**4 + 285677*o**3 + 1028510*o**2 - 457112*o = 0. What is o?
-4, 0, 2/5, 57139
Find w such that 2*w**3/9 - 518*w**2/3 - 5746*w - 50158/9 = 0.
-31, -1, 809
Factor 4*z**3 - 11716*z**2 - 4*z + 11716.
4*(z - 2929)*(z - 1)*(z + 1)
Determine p so that -27*p**2 - 640317*p - 284580 = 0.
-23715, -4/9
Let -f**2/4 + 17157*f/2 - 294362649/4 = 0. Calculate f.
17157
Factor -g**2/2 + 101518*g - 5152952162.
-(g - 101518)**2/2
Let -2*l**3/11 - 17636*l**2/11 - 3206*l - 17632/11 = 0. What is l?
-8816, -1
Factor -r**3 - 147*r**2 - 5327*r - 14685.
-(r + 3)*(r + 55)*(r + 89)
Factor 5*r**3 - 6125*r**2 + 36610*r - 48760.
5*(r - 1219)*(r - 4)*(r - 2)
Suppose -m**2/4 + 1900*m - 3799 = 0. What is m?
2, 7598
Factor -w**2 - 512410*w - 65641002025.
-(w + 256205)**2
Determine g, given that 3*g**2/7 - 150492*g/7 + 1887320172/7 = 0.
25082
Solve -2*q**4 - 20838*q**3 - 54309028*q**2 - 162781248*q - 108493056 = 0 for q.
-5208, -2, -1
Let 3*f**5 + 669*f**4 + 10659*f**3 + 31047*f**2 - 96762*f + 54384 = 0. Calculate f.
-206, -11, -8, 1
Solve 2*p**3/3 - 1166*p**2/3 + 166780*p/3 - 328912/3 = 0.
2, 244, 337
Solve -735*v**5 + 14420*v**4 + 160600*v**3 + 324000*v**2 + 239760*v + 60480 = 0 for v.
-6, -6/7, -2/3, 28
Suppose 2*i**2/17 + 34486*i/17 + 68964/17 = 0. Calculate i.
-17241, -2
Determine s, given that -804*s**4 - 13089*s**3 - 34962*s**2 - 8871*s - 234 = 0.
-13, -3, -1/4, -2/67
Let n**2/5 - 74*n/5 - 3672/5 = 0. Calculate n.
-34, 108
Find a, given that -a**4/2 + 1277*a**3/2 + 13016*a**2 - 59710*a + 62256 = 0.
-24, 2, 1297
Suppose 213*o**5 - 3828*o**4 - 28863*o**3 + 574290*o**2 + 16200*o = 0. What is o?
-12, -2/71, 0, 15
Factor 3*s**2 - 125592*s + 1314445872.
3*(s - 20932)**2
Find l, given that -4*l**3/5 + 4*l**2 + 564*l/5 + 108 = 0.
-9, -1, 15
Determine c, given that c**3/3 + 9*c**2 - 508*c/3 - 4180 = 0.
-30, -19, 22
Factor -5*l**2 - 42940*l + 4739865.
-5*(l - 109)*(l + 8697)
Suppose -5*y**2 + 11235*y - 332550 = 0. Calculate y.
30, 2217
Determine w, given that w**4/2 + 3*w**3/2 - 707*w**2 + 4704*w = 0.
-42, 0, 7, 32
Determine p so that 2*p**5/3 + 24656*p**4/3 - 24666*p**3 - 147916*p**2/3 + 690488*p/3 - 197296 = 0.
-12331, -3, 2
Find z, given that -2*z**5/11 - 262*z**4/11 - 8174*z**3/11 + 26926*z**2/11 - 1072*z/11 - 35912/11 = 0.
-67, -1, 2
Suppose -l**5/3 - 20*l**4/3 - 43*l**3 - 266*l**2/3 + 32*l/3 + 128 = 0. Calculate l.
-8, -3, -2, 1
Factor -r**3/9 - 37760*r**2/9 - 377525*r/9 - 943750/9.
-(r + 5)**2*(r + 37750)/9
Determine b, given that 7*b**5/10 - 193*b**4 - 2519*b**3/10 + 3583*b**2/5 + 4982*b/5 + 1108/5 = 0.
-2, -1, -2/7, 2, 277
What is r in -10*r**3/9 - 458*r**2/9 + 104*r/9 + 184/3 = 0?
-46, -1, 6/5
Factor -2*u**3 - 1848*u**2 - 430560*u - 1692800.
-2*(u + 4)*(u + 460)**2
Let -h**5 - 56*h**4 - 780*h**3 + 224*h**2 + 3136*h = 0. Calculate h.
-28, -2, 0, 2
What is o in 5*o**4 + 152230*o**3 + 1158241865*o**2 - 6953561940*o + 10432398420 = 0?
-15226, 3
Let -4*c**3 + 3008*c**2 - 562484*c - 1137032 = 0. Calculate c.
-2, 377
Solve 4*u**4 - 644*u**3 - 3296*u**2 - 3984*u = 0.
-3, -2, 0, 166
Suppose b**2/7 + 587*b/7 - 1770/7 = 0. Calculate b.
-590, 3
Factor y**2 - 54748*y + 54747.
(y - 54747)*(y - 1)
Solve 2*s**4 - 5528*s**3 + 76966*s**2 + 93560*s - 165000 = 0 for s.
-2, 1, 15, 2750
Suppose 3*g**2/8 - 25953*g/2 + 224519403/2 = 0. What is g?
17302
Let -10*k**4 + 43775*k**3 - 109395*k**2 + 87505*k - 21875 = 0. What is k?
1/2, 1, 4375
Let 7*p**4/2 - 2431*p**3/4 + 1543*p**2/4 + 2431*p/4 - 1557/4 = 0. Calculate p.
-1, 9/14, 1, 173
Factor -i**3/6 - 893*i**2/2 + 4022*i/3 - 894.
-(i - 2)*(i - 1)*(i + 2682)/6
Find t, given that 3*t**3 - 1740*t**2 + 3468*t = 0.
0, 2, 578
Factor -4*s**5/9 - 40*s**4/3 - 160*s**3/3 + 6080*s**2/9 - 1600*s + 1152.
-4*(s - 2)**3*(s + 18)**2/9
What is t in -3*t**4/7 - 11730*t**3/7 + 70488*t**2/7 - 96*t/7 - 375936/7 = 0?
-3916, -2, 4
Factor -2*s**2/17 + 548976*s/17 - 37671831072/17.
-2*(s - 137244)**2/17
Find a such that -2*a**3 + 1518*a**2 + 19992*a + 61760 = 0.
-8, -5, 772
Find m, given that -m**2/3 + 38036*m/3 + 12679 = 0.
-1, 38037
Let -p**3/6 + 479*p**2/2 - 24408*p + 645894 = 0. What is p?
54, 1329
Let -11858*g**3/9 - 1801184*g**2/9 + 187232*g/9 - 4864/9 = 0. Calculate g.
-152, 4/77
Solve -8*u**3/5 + 238*u**2/5 - 214*u/5 - 92 = 0.
-1, 2, 115/4
Determine g so that g**4/3 + 1774*g**3 - g**2/3 - 1774*g = 0.
-5322, -1, 0, 1
Find s such that -5*s**5 - 7695*s**4 - 2995005*s**3 - 26380945*s**2 - 17434350*s + 46818000 = 0.
-765, -8, -2, 1
Factor -d**4/6 + 101*d**3/6 - 763*d**2/3 + 1328*d/3.
-d*(d - 83)*(d - 16)*(d - 2)/6
Solve -3*d**5 + 69*d**4 + 8331*d**3 - 8661*d**2 - 33276*d + 33540 = 0.
-43, -2, 1, 2, 65
Determine z, given that -3*z**4/2 - 107*z**3/2 + 3420*z**2 - 36126*z + 11664 = 0.
-72, 1/3, 18
Solve -10*g**3/13 - 1944*g**2/13 - 87576*g/13 - 34720/13 = 0.
-124, -70, -2/5
Factor 2*x**4 + 10*x**3 - 18228*x**2.
2*x**2*(x - 93)*(x + 98)
Suppose -3*v**5 + 2532*v**4 - 37143*v**3 - 134286*v**2 - 10164*v + 179064 = 0. What is v?
-2, 1, 18, 829
Suppose 2*n**3 + 33550*n**2 + 140717086*n + 140683538 = 0. Calculate n.
-8387, -1
Suppose 3*u**4 + 471*u**3 + 2304*u**2 + 3660*u + 1824 = 0. Calculate u.
-152, -2, -1
What is n in 2*n**3 - 6182*n**2 + 73918*n - 67738 = 0?
1, 11, 3079
Solve 5*f**4/3 - 715*f**3/3 + 935*f**2 - 3485*f/3 + 1390/3 = 0.
1, 2, 139
Find a such that -3*a**3/5 + 267564*a**2/5 + 3*a/5 - 267564/5 = 0.
-1, 1, 89188
Find l, given that -364*l**3 + 11476*l**2 + 17516*l + 5676 = 0.
-1, -43/91, 33
Determine g, given that 3*g**2/4 + 1842765*g/2 + 1131927615075/4 = 0.
-614255
Factor -5*d**2 - 1169560*d - 68393529680.
-5*(d + 116956)**2
Let 2*t**5 - 393*t**4 - 1399*t**3 - 207*t**2 + 1397*t + 600 = 0. What is t?
-3, -1, -1/2, 1, 200
Factor 4*o**2/9 - 692560*o/9 + 29977459600/9.
4*(o - 86570)**2/9
Suppose -2*u**3/19 - 718*u**2/19 - 61854*u/19 + 468846/19 = 0. What is u?
-183, 7
Suppose -2*z**3/11 + 978*z**2/11 + 59472*z/11 + 854560/11 = 0. Calculate z.
-28, 545
Determine a, given that 10*a**5/3 + 514*a**4/3 + 1780*a**3 + 20396*a**2/3 + 29210*a/3 + 4550 = 0.
-39, -5, -7/5, -1
Determine z, given that 365*z**4/3 - 1835*z**3/3 + 990*z**2 - 1540*z/3 + 40/3 = 0.
2/73, 1, 2
Suppose -4*o**2 + 2867