9168.
4*(c + 32292)*(4*c - 1)
Factor 3*b**4 - 204*b**3 + 4023*b**2 - 27534*b + 40560.
3*(b - 40)*(b - 13)**2*(b - 2)
Determine t so that 2*t**5/15 - 8*t**4/3 + 4*t**3/3 + 64*t**2/3 + 82*t/3 + 152/15 = 0.
-1, 4, 19
Find o such that 2*o**5 - 124*o**4 + 964*o**3 - 344*o**2 - 10038*o + 9540 = 0.
-3, 1, 5, 6, 53
Determine v, given that v**3/4 - 3409*v**2/4 + 6815*v/4 - 3407/4 = 0.
1, 3407
Factor -a**5/2 - 3*a**4/2 + 5*a**3.
-a**3*(a - 2)*(a + 5)/2
Factor 2*f**3/9 + 8770*f**2/9 + 8768*f/9.
2*f*(f + 1)*(f + 4384)/9
Determine v so that v**5 + 41*v**4 - 993*v**3 - 20281*v**2 - 70352*v + 91584 = 0.
-53, -8, 1, 27
Factor 3*q**2 - 30*q - 3813.
3*(q - 41)*(q + 31)
Let u**5 + 998*u**4 - 82775*u**3 = 0. What is u?
-1075, 0, 77
Factor 3*x**3 + 9024*x**2 + 7396839*x + 896919318.
3*(x + 146)*(x + 1431)**2
Find h, given that -2*h**2 - 2078*h - 34748 = 0.
-1022, -17
Let -4*z**3 - 484*z**2 - 13912*z = 0. What is z?
-74, -47, 0
Solve -5*q**3 + 5504445*q**2 - 11008875*q + 5504435 = 0 for q.
1, 1100887
Factor -5*q**2 - 70720*q - 70715.
-5*(q + 1)*(q + 14143)
Factor 5*z**3 - 16279*z**2 + 13248664*z + 2650384.
(z - 1628)**2*(5*z + 1)
Determine s, given that 5*s**2 - 228845*s - 228850 = 0.
-1, 45770
Suppose -7447750*b**4 - 87354900*b**3 + 24034920*b**2 - 2181872*b + 65856 = 0. What is b?
-12, 14/155
Factor z**3 + 2258*z**2 + 2257*z.
z*(z + 1)*(z + 2257)
Suppose -2499*o**3/4 - 3885*o**2/8 + 4479*o/4 - 75/8 = 0. What is o?
-25/14, 1/119, 1
Let 2*v**4/3 + 4172*v**3/3 - 12530*v**2/3 + 8356*v/3 = 0. What is v?
-2089, 0, 1, 2
Find m such that -5*m**2 + 10920*m - 21820 = 0.
2, 2182
Solve -194*i**2/3 - 112*i/3 + 184 = 0 for i.
-2, 138/97
Factor 3*a**3/5 + 47886*a**2/5 + 57447*a + 430812/5.
3*(a + 3)**2*(a + 15956)/5
Factor 2*r**2/7 + 20800*r/7 + 54080000/7.
2*(r + 5200)**2/7
Solve 2*b**3/3 + 103712*b**2/3 + 448139550*b - 896417388 = 0 for b.
-25929, 2
Solve -3*n**3/4 + 12195*n**2/2 - 12276504*n - 475353096 = 0.
-38, 4084
Suppose 2*n**5/17 + 50*n**4/17 + 226*n**3/17 - 1058*n**2/17 + 780*n/17 = 0. What is n?
-15, -13, 0, 1, 2
Factor 2*o**3/3 - 100*o**2/3 + 818*o/3 - 240.
2*(o - 40)*(o - 9)*(o - 1)/3
Factor -38*t**2/5 - 704*t/5 - 72.
-2*(t + 18)*(19*t + 10)/5
Suppose -48*v**5 + 1128*v**4 - 2379*v**3 - 3231*v**2 + 5427*v + 5103 = 0. What is v?
-1, 9/4, 21
Determine m, given that -m**5/2 + 8*m**4 - 5*m**3 - 198*m**2 - 693*m/2 - 162 = 0.
-3, -1, 9, 12
Solve -h**5/4 + 170*h**4 - 59451*h**3/2 + 276713*h**2 + 2573135*h/4 + 336675 = 0.
-1, 12, 335
Find w, given that 5*w**3/4 + 187*w**2/4 - 733*w/2 - 154 = 0.
-44, -2/5, 7
Let 2*q**4/9 - 6*q**3 + 112*q**2/3 - 184*q/9 - 64 = 0. What is q?
-1, 2, 8, 18
Let -2*s**4 + 264*s**3 - 8566*s**2 - 8832*s = 0. Calculate s.
-1, 0, 64, 69
Factor a**2/2 - 35*a/2 - 33000.
(a - 275)*(a + 240)/2
Determine a, given that -4*a**2/3 + 5347576*a/3 - 1787285567236/3 = 0.
668447
Solve -375*x**4 + 1388925*x**3 - 2499255*x**2 + 1499391*x - 299862 = 0.
3/5, 3702
Solve 1735*v**2 + 3500*v + 60 = 0.
-2, -6/347
Factor -h**2/3 - 8326*h/3.
-h*(h + 8326)/3
Solve -q**5/3 - 262*q**4 + 23485*q**3/3 - 121966*q**2/3 + 77092*q - 149960/3 = 0 for q.
-815, 2, 23
Factor -h**2/9 - 3302*h/9 + 6608/9.
-(h - 2)*(h + 3304)/9
Factor -23*v**3/2 + 22*v**2 - 19*v/2 - 1.
-(v - 1)**2*(23*v + 2)/2
Factor -10*r**2/7 + 162646*r/7 + 65060/7.
-2*(r - 16265)*(5*r + 2)/7
Solve -4*t**3 + 24224*t**2 - 145236*t + 217800 = 0.
3, 6050
Factor s**4 + 541*s**3 + 10488*s**2 + 35492*s + 33344.
(s + 2)**2*(s + 16)*(s + 521)
Suppose 2*d**2/5 - 316*d + 6288/5 = 0. What is d?
4, 786
Let 2*t**2/21 + 116*t/21 - 912/7 = 0. What is t?
-76, 18
Factor n**4 - 1787*n**3 + 3567*n**2 + 5355*n.
n*(n - 1785)*(n - 3)*(n + 1)
Let 3*j**4/2 - 189*j**3/4 + 480*j**2 - 1476*j - 864 = 0. What is j?
-1/2, 8, 12
Solve 2*n**4/7 + 822*n**3/7 - 25320*n**2/7 + 88000*n/7 = 0.
-440, 0, 4, 25
Solve 2*s**2 - 404558*s = 0 for s.
0, 202279
Factor 3*q**2 + 178713*q.
3*q*(q + 59571)
Solve 2*u**2/5 - 612*u/5 + 7618/5 = 0 for u.
13, 293
Solve u**3 + 7551*u**2 + 15099*u + 7549 = 0 for u.
-7549, -1
Find d such that -d**2 - 54412*d - 740166436 = 0.
-27206
Factor -4*x**2 - 1508*x + 20280.
-4*(x - 13)*(x + 390)
Find h, given that 4*h**4/5 + 116*h**3/5 + 112*h**2/5 = 0.
-28, -1, 0
Determine s, given that 2*s**3 + 492*s**2 - 992*s = 0.
-248, 0, 2
What is j in -5*j**3 - 4610*j**2 + 9255*j + 13860 = 0?
-924, -1, 3
Factor -2*n**3/11 + 12524*n**2/11 - 19505746*n/11 - 315306272/11.
-2*(n - 3139)**2*(n + 16)/11
Factor 2*f**2 - 5462*f - 5464.
2*(f - 2732)*(f + 1)
Suppose g**5/5 + 5*g**4 - 226*g**3/5 - 2392*g**2/5 - 3168*g/5 + 1152 = 0. Calculate g.
-30, -4, 1, 12
Factor -2*w**4/13 + 730*w**3/13 - 66528*w**2/13 - 2363904*w/13 + 400121856/13.
-2*(w - 144)**3*(w + 67)/13
Solve 28227*y**3 - 29100*y**2 + 7500*y = 0.
0, 50/97
Factor 2*n**3/9 - 2486*n**2/9 - 2*n/9 + 2486/9.
2*(n - 1243)*(n - 1)*(n + 1)/9
Determine d, given that -14*d**5 + 704*d**4 - 2202*d**3 + 1888*d**2 - 376*d = 0.
0, 2/7, 1, 2, 47
Find v, given that -v**3/10 - 531*v**2/5 + 7227*v/2 = 0.
-1095, 0, 33
Find o such that -o**4/12 - 1907*o**3/6 - 3644269*o**2/12 - 1210945*o - 1209675 = 0.
-1905, -2
Let 2*g**4/11 + 540*g**3/11 + 2634*g**2/11 - 4264*g/11 - 6360/11 = 0. Calculate g.
-265, -6, -1, 2
Find v, given that v**4 - 212*v**3 + 12597*v**2 - 239522*v + 430336 = 0.
2, 41, 128
Factor 2*c**3 - 1740*c**2/11 + 158*c/11.
2*c*(c - 79)*(11*c - 1)/11
Factor 1977*o**2 - 5916*o - 45.
3*(o - 3)*(659*o + 5)
Factor -n**3/5 + 5984*n**2/5 - 23924*n/5 + 4784.
-(n - 5980)*(n - 2)**2/5
Factor -t**3 + 44167*t**2 - 176656*t + 176652.
-(t - 44163)*(t - 2)**2
Factor -4*w**3 - 276*w**2 + 2080*w - 3648.
-4*(w - 4)*(w - 3)*(w + 76)
Let -27*g**4 + 168*g**3 + 153*g**2 - 42*g = 0. Calculate g.
-1, 0, 2/9, 7
Let -4*a**3/5 + 2*a**2/5 + 842*a/5 + 84 = 0. Calculate a.
-14, -1/2, 15
Let s**5/4 - 23*s**4/2 + 681*s**3/4 - 908*s**2 + 1937*s - 1428 = 0. Calculate s.
2, 4, 17, 21
Factor -2*z**2 - 3990*z - 23868.
-2*(z + 6)*(z + 1989)
Factor -p**2/9 - 35003*p/9 + 11668/3.
-(p - 1)*(p + 35004)/9
Suppose -5*u**3 - 14390*u**2 - 28765*u - 14380 = 0. What is u?
-2876, -1
Let -6*p**3/5 - 594*p**2 - 11784*p/5 = 0. What is p?
-491, -4, 0
Let -5*z**3 - 925*z**2 - 21460*z - 20540 = 0. What is z?
-158, -26, -1
Factor 2*q**2/15 + 620312*q/15 + 48098372168/15.
2*(q + 155078)**2/15
Find s, given that 3*s**5/7 - 486*s**4/7 + 5526*s**3/7 - 18960*s**2/7 + 8775*s/7 + 33750/7 = 0.
-1, 3, 5, 150
Factor -289*x**3/5 + 62169*x**2 + 439272*x/5 + 155088/5.
-(x - 1077)*(17*x + 12)**2/5
Factor -s**4/3 + 6197*s**3/3 + 12397*s**2/3 + 6199*s/3.
-s*(s - 6199)*(s + 1)**2/3
Factor -b**4/7 + 5*b**3 - 375*b**2/7 + 1125*b/7.
-b*(b - 15)**2*(b - 5)/7
Let -t**4/5 - 244*t**3/5 + 7356*t**2/5 - 13984*t + 43520 = 0. What is t?
-272, 8, 10
Factor v**2 + 2094*v + 12528.
(v + 6)*(v + 2088)
Factor -2*b**2 - 1648768*b - 339804489728.
-2*(b + 412192)**2
Find v such that 2*v**5/19 - 2332*v**4/19 + 6980*v**3/19 - 2320*v**2/19 - 6982*v/19 + 4652/19 = 0.
-1, 1, 2, 1163
Determine p so that p**5/4 + 67*p**4/4 - 817*p**3/2 + 4509*p**2/2 - 17631*p/4 + 10179/4 = 0.
-87, 1, 3, 13
Factor -3*t**4/4 - 13155*t**3/2 - 57737259*t**2/4 - 57632067*t.
-3*t*(t + 4)*(t + 4383)**2/4
Solve -5*f**4 + 3865*f**3 - 56850*f**2 = 0.
0, 15, 758
Factor -t**2 - 29573*t + 29574.
-(t - 1)*(t + 29574)
Factor u**3/5 + 1399*u**2/5 + 559*u + 1397/5.
(u + 1)**2*(u + 1397)/5
Suppose 2*d**2/15 + 2462*d/15 + 9688/3 = 0. What is d?
-1211, -20
Let -j**4/10 - 27*j**3 + 273*j**2/10 + 271*j/5 = 0. Calculate j.
-271, -1, 0, 2
Let -3*v**3/4 - 360*v**2 - 50544*v - 1679616 = 0. What is v?
-216, -48
Factor 56340*d**2 - 1915568*d + 272.
4*(d - 34)*(14085*d - 2)
Find k, given that -k**4/5 + 688*k**3/5 - 129258*k**2/5 + 3696408*k/5 - 9944397/5 = 0.
3, 31, 327
Factor 2*l**3/3 - 16*l**2/3 - 7774*l/3 + 2596.
2*(l - 66)*(l - 1)*(l + 59)/3
Factor -4*p**3 + 2496*p**2 + 10032*p + 10048.
-4*(p - 628)*(p + 2)**2
Determine o, given that 5*o**4/3 + 2560*o**3/3 - 4295*o**2 + 20660*o/3 - 10340/3 = 0.
-517, 1, 2
Factor -3*m**3/5 - 333*m**2/5 + 687*m/5 + 1017/5.
-3*(m - 3)*(m + 1)*(m + 113)/5
Suppose -2*f**2 + 2132*f + 28054 = 0. What is f?
-13, 1079
Factor -5*o**2 + 21095*o + 360060.
-5*(o - 4236)*(o + 17)
Suppose 4*g**2/3 + 123232*g/3 + 246416 = 0. What is g?
-30802, -6
Factor y**4/4 - 331*y**3/4 + 3555*y**2/4 - 11225*y/4 + 2000.
(y - 320)*(y - 5)**2*