 978*i**3/7 - 3438*i**2/7 - 3996*i/7 = 0.
-37, -6, -3, 0
Factor x**2 - 29206*x + 213247609.
(x - 14603)**2
Let -k**3/11 - 10986*k**2/11 + 98937*k/11 - 197910/11 = 0. Calculate k.
-10995, 3, 6
What is c in -c**4/4 - 59*c**3/2 + 351*c**2 - 981*c/2 - 3483/4 = 0?
-129, -1, 3, 9
Suppose -t**3/8 - 2017*t**2/8 - 126247*t + 896126 = 0. What is t?
-1012, 7
Factor -2*z**2/17 - 18276*z/17 + 128030/17.
-2*(z - 7)*(z + 9145)/17
Factor 2*r**3 - 290*r**2 + 2152*r + 5480.
2*(r - 137)*(r - 10)*(r + 2)
Solve 12*i**4 - 1792*i**3 - 3016*i**2 - 608*i + 604 = 0.
-1, 1/3, 151
Find u such that -u**3 - 6168*u**2 - 12333*u - 6166 = 0.
-6166, -1
Solve -625*i**4/2 - 5475*i**3/2 + 7591*i**2/2 - 1581*i/2 + 45 = 0.
-10, 3/25, 1
Factor -125*n**3 + 450*n**2 - 480*n + 160.
-5*(n - 2)*(5*n - 4)**2
Find v, given that v**2 + 101*v - 2706 = 0.
-123, 22
Factor -2*t**2/5 + 160096*t/5 - 320184/5.
-2*(t - 80046)*(t - 2)/5
Solve 2*o**5 - 480*o**4 - 4504*o**3 + 5460*o**2 + 4502*o - 4980 = 0.
-10, -1, 1, 249
Let -5*h**4 - 385*h**3 - 6255*h**2 - 11375*h - 5500 = 0. Calculate h.
-55, -20, -1
Let 6*m**2/5 + 86854*m/15 + 3860/3 = 0. What is m?
-4825, -2/9
Let -6*n**2/11 - 118*n/11 + 108 = 0. What is n?
-27, 22/3
Factor -10932*p**3/7 - 43719*p**2/7 - 43692*p/7 + 36/7.
-3*(p + 2)**2*(3644*p - 3)/7
Factor 2*p**4/3 + 1258*p**3/3 + 1254*p**2 + 3758*p/3 + 1252/3.
2*(p + 1)**3*(p + 626)/3
Suppose 4*p**2/7 - 432*p/7 - 17236/7 = 0. What is p?
-31, 139
Determine f, given that 5*f**5 - 45670*f**4 + 103323740*f**3 + 4402272920*f**2 + 41722904960*f - 101880760960 = 0.
-22, 2, 4588
Solve 5*g**4 + 1458255*g**3 + 1458245*g**2 - 1458255*g - 1458250 = 0.
-291650, -1, 1
Factor 2*i**5 + 16*i**4 - 132*i**3 - 472*i**2 - 494*i - 168.
2*(i - 7)*(i + 1)**3*(i + 12)
Suppose -3*d**3 - 25419*d**2 - 25416*d = 0. Calculate d.
-8472, -1, 0
Factor -5*z**3 - 1890*z**2 - 35980*z - 64440.
-5*(z + 2)*(z + 18)*(z + 358)
Determine y so that -y**3/4 + 337*y**2/4 + 3749*y/2 + 1790 = 0.
-20, -1, 358
Solve -2*l**5/9 + 38*l**4/9 + 170*l**3/3 - 118*l**2/9 - 1436*l/9 + 112 = 0 for l.
-9, -2, 1, 28
Factor -2*l**3/11 - 10*l**2.
-2*l**2*(l + 55)/11
Suppose -3*s**5 + 69*s**4 - 105*s**3 - 1437*s**2 - 1260*s = 0. Calculate s.
-3, -1, 0, 7, 20
What is s in -4*s**4 + 86992*s**3 - 173948*s**2 - 434944*s + 521904 = 0?
-2, 1, 3, 21746
Suppose -4*g**2 + 1102944*g - 76030341696 = 0. What is g?
137868
Factor 4*g**3 - 10036*g**2 - 120928*g - 201680.
4*(g - 2521)*(g + 2)*(g + 10)
Find g such that 6*g**5/11 - 976*g**4 - 125806*g**3/11 - 475176*g**2/11 - 518816*g/11 + 230528/11 = 0.
-4, 1/3, 1801
Factor -2*r**3 + 6190*r**2 + 2*r - 6190.
-2*(r - 3095)*(r - 1)*(r + 1)
What is c in 4*c**4 - 6296*c**3 + 25140*c**2 - 31408*c + 12560 = 0?
1, 2, 1570
Factor -4*b**2/7 + 234712*b/7 + 234716/7.
-4*(b - 58679)*(b + 1)/7
Suppose 2*f**5/15 + 68*f**4/15 + 34*f**3/5 - 812*f**2/15 + 128*f/3 = 0. What is f?
-32, -5, 0, 1, 2
Suppose 5*c**2/2 - 311*c - 1820 = 0. What is c?
-28/5, 130
Find r such that -4*r**3/7 + 1304*r**2/7 - 1300*r/7 = 0.
0, 1, 325
Suppose -4*n**4/3 + 56*n**3/3 - 76*n**2 + 96*n = 0. Calculate n.
0, 3, 8
Solve -2*v**2 - 23467*v/2 - 8799 = 0.
-5866, -3/4
What is t in -3*t**5 + 7879*t**4 - 5190265*t**3 + 22385329*t**2 - 27510024*t + 6874884 = 0?
1/3, 2, 1311
Let 3*d**4/7 + 18*d**3 - 1416*d**2/7 - 73854*d/7 + 75141/7 = 0. Calculate d.
-33, 1, 23
Factor -2*y**3/23 - 60826*y**2/23 - 364902*y/23 - 547326/23.
-2*(y + 3)**2*(y + 30407)/23
Solve -11*r**4/2 - 1321*r**3/4 - 4023*r**2/2 + 8965*r/4 + 106 = 0.
-53, -8, -1/22, 1
What is u in -5*u**2 + 15*u + 22770 = 0?
-66, 69
Solve 2*c**5/5 + 308*c**4/5 + 8214*c**3/5 + 73476*c**2/5 + 136512*c/5 - 637632/5 = 0 for c.
-123, -12, -9, 2
Let -526*v**3 - 17360*v**2 - 16898*v - 64 = 0. What is v?
-32, -1, -1/263
Factor 5*v**3 - 71465*v**2 - 71470*v.
5*v*(v - 14294)*(v + 1)
What is y in -2*y**5 - 38*y**4 - 210*y**3 - 370*y**2 + 92*y + 528 = 0?
-11, -4, -3, -2, 1
Find t such that -2*t**3 - 912*t**2 + 6470*t - 5556 = 0.
-463, 1, 6
Factor -2*o**3/3 - 55714*o**2/3 + 111434*o/3 - 55718/3.
-2*(o - 1)**2*(o + 27859)/3
Find w, given that -27*w**4/4 + 147*w**3 - 327*w**2/4 - 10311*w/2 - 1140 = 0.
-5, -2/9, 8, 19
Solve -4*q**4/3 + 916*q**3/3 - 6272*q**2/3 + 12464*q/3 - 2368 = 0 for q.
1, 2, 4, 222
Factor -5*v**4 + 206700*v**3 - 2136451190*v**2 + 4272282300*v - 2136037805.
-5*(v - 20669)**2*(v - 1)**2
Determine h, given that 3*h**2 + 40092*h - 240660 = 0.
-13370, 6
Suppose 15*z**2 + 221125*z + 147410 = 0. What is z?
-14741, -2/3
Factor 5*q**3 - 4390*q**2 + 381705*q + 386100.
5*(q - 780)*(q - 99)*(q + 1)
Let -a**4/9 + 17*a**3/9 - 25*a**2/3 + 103*a/9 - 44/9 = 0. What is a?
1, 4, 11
Determine z so that 5*z**4 - 1005*z**3 - 18220*z**2 - 67980*z + 87200 = 0.
-10, -8, 1, 218
Suppose 3*b**2/5 + 53286*b/5 - 213192/5 = 0. What is b?
-17766, 4
What is s in -s**2/4 + 705*s/4 + 9125/2 = 0?
-25, 730
Let -4*k**3 + 77820*k**2 - 378535932*k + 378458116 = 0. What is k?
1, 9727
Solve 4*j**4 + 180*j**3 + 2844*j**2 + 17836*j + 32448 = 0.
-16, -13, -3
Factor -3*n**2 - 105712*n + 70476.
-(n + 35238)*(3*n - 2)
Suppose -2*g**3 - 117*g**2/5 - 443*g/5 - 108 = 0. Calculate g.
-5, -4, -27/10
Factor -3*m**2 - 156726*m - 313440.
-3*(m + 2)*(m + 52240)
Factor 2*u**2 - 38786*u + 155112.
2*(u - 19389)*(u - 4)
Solve -9*x**4 + 60351*x**3 + 201273*x**2 - 20091*x - 241524 = 0 for x.
-3, -4/3, 1, 6709
What is i in 4*i**3 + 4428*i**2 - 49120*i + 80496 = 0?
-1118, 2, 9
Determine l so that 3*l**4/5 + 12*l**3 + 39*l**2/5 - 342*l/5 = 0.
-19, -3, 0, 2
Factor -58*x**3 - 2788*x**2 + 5608*x + 400.
-2*(x - 2)*(x + 50)*(29*x + 2)
Factor -3*s**3 + 15759*s**2 + 31554*s - 126120.
-3*(s - 5255)*(s - 2)*(s + 4)
Suppose 24576*d**4 - 736704*d**3 + 44098587*d**2/8 + 517995*d/4 + 6075/8 = 0. Calculate d.
-3/256, 15
Let w**5 - 3638*w**4 + 3344841*w**3 - 65449620*w**2 = 0. What is w?
0, 20, 1809
Suppose 3*f**4/7 - 375*f**3/7 - 3618*f**2/7 = 0. Calculate f.
-9, 0, 134
Factor 2*g**5/11 + 33526*g**4/11 + 140649884*g**3/11 + 1264039092*g**2/11 + 3790307682*g/11 + 3789402966/11.
2*(g + 3)**3*(g + 8377)**2/11
Suppose 2*w**4 + 6946*w**3/5 - 13248*w**2 - 45016*w/5 + 5632 = 0. What is w?
-704, -1, 2/5, 10
Find d, given that -2*d**4/15 + 2812*d**3/15 - 327582*d**2/5 - 267336*d + 795240 = 0.
-6, 2, 705
Determine a, given that 4*a**2/5 + 1436*a/5 + 14352 = 0.
-299, -60
Solve -2331*u**4/2 - 20205*u**3/2 - 13235*u**2/2 + 35725*u/2 + 23 = 0.
-23/3, -2, -1/777, 1
Factor 2*w**2/9 + 66218*w/9 + 22072/3.
2*(w + 1)*(w + 33108)/9
Solve -v**3 + 7838*v**2 + 78464*v + 125568 = 0 for v.
-8, -2, 7848
Factor z**4/9 - 178*z**3/3 - 2155*z**2/9 + 532*z/3 + 1076.
(z - 538)*(z - 2)*(z + 3)**2/9
Factor -5*g**4 + 4720*g**3 - 1070225*g**2 - 20822490*g.
-5*g*(g - 481)**2*(g + 18)
Factor 2*a**2 + 572*a + 35280.
2*(a + 90)*(a + 196)
Factor -450*d**2/11 - 899538*d/11 + 23988/11.
-6*(d + 1999)*(75*d - 2)/11
Determine q so that 3*q**4/4 - 135*q**3/2 + 7647*q**2/4 - 16596*q - 18576 = 0.
-1, 24, 43
Suppose 246*h**4/11 - 736*h**3/11 - 6*h**2/11 = 0. What is h?
-1/123, 0, 3
What is c in 5*c**5 + 468*c**4 + 3269*c**3 - 66*c**2 - 13156*c - 7224 = 0?
-86, -7, -2, -3/5, 2
Factor 108*x**2 - 77292*x + 13828827.
3*(6*x - 2147)**2
Let 3*p**2/2 + 85581*p/2 + 641520 = 0. What is p?
-28512, -15
Find t, given that t**4/5 - 42*t**3/5 + 247*t**2/5 + 714*t + 1160 = 0.
-5, -2, 20, 29
Determine o so that 5*o**5/4 - 869*o**4/8 + 18393*o**3/8 + 2651*o**2 + 242*o = 0.
-1, -1/10, 0, 44
Find d, given that 3*d**2 - 729687*d + 729684 = 0.
1, 243228
Suppose -2*p**5 + 3654*p**4 + 40438*p**3 - 3654*p**2 - 40436*p = 0. What is p?
-11, -1, 0, 1, 1838
Determine t so that -4*t**3 + 3072*t**2 + 208896*t + 3407872 = 0.
-32, 832
Determine m so that m**2/7 + 108*m/7 - 220/7 = 0.
-110, 2
Solve -16*l**3/25 + 166*l**2/5 - 60*l = 0.
0, 15/8, 50
Factor -2*v**2/3 - 13452*v - 67858614.
-2*(v + 10089)**2/3
Determine k, given that -2*k**5/7 + 76*k**4/7 - 362*k**3/7 - 936*k**2 - 20520*k/7 - 19008/7 = 0.
-3, -2, 22, 24
Find f such that 45*f**5 - 150175*f**4 + 125533555*f**3 - 403339005*f**2 + 333533360*f - 55577780 = 0.
2/9, 1, 2, 1667
Let -3*r**4/5 + 14046*r**3/5 + 28101*r**2/5 + 14052*r/5 = 0. What is r?
-1, 0, 4684
Factor 3*o**3/2 - 135*o**2/2 - 4497*o - 4428.
3*(o - 82)*(o + 1)*(o + 36)/2
What is s in 2*s**3/7 + 40*s**2 + 9600*s/7 = 0?
-80, -60, 0
Suppose -j**4/2 - 8519*j**3 -