 0 for t.
-72, -3
Factor 2*b**3 + 378*b**2 + 2910*b + 2534.
2*(b + 1)*(b + 7)*(b + 181)
Find w, given that 4*w**4 - 952*w**3 - 4*w**2 + 952*w = 0.
-1, 0, 1, 238
Determine o, given that -2*o**5/3 + 1310*o**4/3 - 5206*o**3/3 - 1310*o**2/3 + 1736*o = 0.
-1, 0, 1, 4, 651
Factor -a**5 - 27*a**4 + 151*a**3 - 281*a**2 + 222*a - 64.
-(a - 2)*(a - 1)**3*(a + 32)
Factor -10*h**2 + 347*h/2 - 171/4.
-(4*h - 1)*(10*h - 171)/4
Solve -5*c**4 - 465*c**3 + 45315*c**2 - 89215*c + 44370 = 0.
-153, 1, 58
Find a, given that a**3/6 + 33*a**2 + 7151*a/6 + 6783 = 0.
-153, -38, -7
Let -3*r**2/2 - 1075446*r - 192764016486 = 0. What is r?
-358482
What is i in -240*i**5 + 1345*i**4 - 775*i**3 - 4750*i**2 + 6940*i - 2520 = 0?
-2, 2/3, 1, 2, 63/16
Factor -5*f**2/3 + 9890*f/3 + 29805.
-5*(f - 1987)*(f + 9)/3
Solve -2*f**5 - 76*f**4 - 330*f**3 + 40*f**2 + 1352*f + 1056 = 0.
-33, -4, -2, -1, 2
Determine u so that -2*u**3/7 - 16064*u**2/7 - 160490*u/7 - 57300 = 0.
-8022, -5
Determine d so that 4*d**5 + 320*d**4 - 2544*d**3 - 9512*d**2 - 10132*d - 3480 = 0.
-87, -1, 10
Solve -2*u**4 + 304*u**3 - 1758*u**2 + 856*u + 2920 = 0 for u.
-1, 2, 5, 146
Factor -2*w**5/5 - 1624*w**4/5 - 479808*w**3/5 - 60269216*w**2/5 - 2642329312*w/5.
-2*w*(w + 98)*(w + 238)**3/5
What is j in 2*j**3/9 - 2*j**2/9 - 1460*j/9 - 12400/9 = 0?
-20, -10, 31
Let -2*l**4 + 89716*l**3/5 + 35888*l**2/5 = 0. What is l?
-2/5, 0, 8972
Determine p, given that 4*p**3/3 + 212*p**2 - 3304*p/3 - 1312 = 0.
-164, -1, 6
Factor -4*t**3 + 236*t**2 + 47104*t + 1278064.
-4*(t - 151)*(t + 46)**2
What is x in 2*x**3/11 + 1226*x**2/11 - 3692*x/11 + 224 = 0?
-616, 1, 2
Solve 2*u**4/19 - 32*u**3/19 + 90*u**2/19 + 324*u/19 = 0 for u.
-2, 0, 9
Factor -5*j**4/6 - 35*j**3/6 + 25*j**2/3 + 40*j/3.
-5*j*(j - 2)*(j + 1)*(j + 8)/6
Solve 4*b**2 + 43316*b - 43320 = 0.
-10830, 1
Factor i**4/4 - 67595*i**3/4 + 202779*i**2/4 - 202777*i/4 + 16898.
(i - 67592)*(i - 1)**3/4
Let z**2 - 217*z - 218 = 0. Calculate z.
-1, 218
Solve -3*b**5 + 291*b**4 - 5973*b**3 - 52131*b**2 - 118872*b - 73008 = 0 for b.
-3, -1, 52
Solve 71*o**2/4 - 2199*o/2 = 0 for o.
0, 4398/71
Factor -f**4/2 - 45*f**3 - 1094*f**2 - 3483*f + 9245/2.
-(f - 1)*(f + 5)*(f + 43)**2/2
Suppose 4*s**4 + 16*s**3 - 2476*s**2 + 18776*s - 16320 = 0. What is s?
-30, 1, 8, 17
What is k in -k**5/3 - 23*k**4/3 - 7*k**3 + 23*k**2/3 + 22*k/3 = 0?
-22, -1, 0, 1
Solve 5*n**3 - 4865*n**2 + 24220*n - 19360 = 0.
1, 4, 968
Factor -2*f**4/3 + 16538*f**3 - 102556272*f**2 - 307718432*f/3.
-2*f*(f - 12404)**2*(f + 1)/3
Determine m so that -5*m**4 - 531260*m**3 - 14109202830*m**2 + 141131875300*m - 352862895125 = 0.
-53131, 5
Suppose 3*j**2 - 6585402*j + 3613959958467 = 0. What is j?
1097567
Factor -440*h**2/3 + 18982*h/9 - 316/9.
-2*(11*h - 158)*(60*h - 1)/9
Find i, given that 2*i**3 - 1270*i**2 + 379393*i/2 + 3837681 = 0.
-18, 653/2
Factor s**3 - 801*s**2 - 49942*s + 103080.
(s - 859)*(s - 2)*(s + 60)
Find q such that -q**2 + 690*q - 50381 = 0.
83, 607
Determine f so that 3*f**5/5 - 831*f**4/5 + 71841*f**3/5 - 2023161*f**2/5 + 22950816*f/5 - 91593348/5 = 0.
11, 14, 119
Factor 20*b**2 - 612*b + 1144.
4*(b - 2)*(5*b - 143)
Let 5*c**3 - 20*c**2 - 1175*c - 4750 = 0. What is c?
-10, -5, 19
Factor -2*l**3 - 7896*l**2 - 7816986*l - 46618092.
-2*(l + 6)*(l + 1971)**2
Suppose d**5 - 36*d**4 + 249*d**3 + 286*d**2 = 0. Calculate d.
-1, 0, 11, 26
Solve -3*d**4/4 - 9021*d**3/4 + 18051*d**2/4 - 9027*d/4 = 0 for d.
-3009, 0, 1
Let 2*t**4 + 468*t**3 + 18312*t**2 + 33388*t - 52170 = 0. Calculate t.
-185, -47, -3, 1
Find l, given that l**3/7 + 6042*l**2 - 1608255*l/7 + 15281852/7 = 0.
-42332, 19
Suppose -4*r**2 - 280528*r - 4918497424 = 0. What is r?
-35066
Let -2*q**2/3 + 804*q + 9680/3 = 0. What is q?
-4, 1210
Factor -2*b**2/3 + 118252*b/3 + 39418.
-2*(b - 59127)*(b + 1)/3
Let -2535*t**2 - 430960*t - 1700 = 0. Calculate t.
-170, -2/507
Factor -3*z**2 - 9834*z/5 + 3936/5.
-3*(z + 656)*(5*z - 2)/5
What is t in 4*t**2 + 574608*t + 574604 = 0?
-143651, -1
Find n such that 4*n**3 + 412*n**2 + 10748*n + 10340 = 0.
-55, -47, -1
Determine p, given that -p**3 + 318050*p**2 = 0.
0, 318050
Let -3*s**3 + 77532*s**2 - 155055*s + 77526 = 0. What is s?
1, 25842
Find j such that 5*j**4 + 85*j**3 + 145*j**2 - 1885*j + 1650 = 0.
-11, -10, 1, 3
Factor 4*j**2/3 - 200048*j/3 + 2501200144/3.
4*(j - 25006)**2/3
Solve m**4/5 + 1731*m**3 - 8656*m**2/5 = 0.
-8656, 0, 1
Factor 25*h**3/3 + 1610*h**2/3 + 7467*h - 38988.
(h - 4)*(5*h + 171)**2/3
Factor 5*b**4 + 10225*b**3 + 91755*b**2 + 274995*b + 274860.
5*(b + 3)**3*(b + 2036)
Let -17*l**5/3 + 662*l**4 + 368*l**3/3 - 662*l**2 - 117*l = 0. Calculate l.
-1, -3/17, 0, 1, 117
Factor -4*g**3/7 + 576*g**2/7 - 1476*g.
-4*g*(g - 123)*(g - 21)/7
Factor -339889*a**3/6 - 684442*a**2/3 - 18688*a/3 - 128/3.
-(a + 4)*(583*a + 8)**2/6
Factor -2*n**5/7 - 724*n**4/7 - 27984*n**3/7.
-2*n**3*(n + 44)*(n + 318)/7
Factor -5*c**2 + 102950*c + 1751595.
-5*(c - 20607)*(c + 17)
Determine m, given that -2*m**2/5 + 37348*m + 186742/5 = 0.
-1, 93371
Factor -q**3/6 + 391*q**2/6 - 21359*q/6 + 316169/6.
-(q - 329)*(q - 31)**2/6
Find s, given that 2*s**3/9 - 1766*s**2 - 2*s + 15894 = 0.
-3, 3, 7947
Determine j so that 4*j**2 - 1016084*j/3 + 677384/3 = 0.
2/3, 84673
Factor -2*x**4/5 + 12148*x**3/5 - 4858*x**2 + 12144*x/5.
-2*x*(x - 6072)*(x - 1)**2/5
Let -2*a**2 + 179594*a + 179596 = 0. What is a?
-1, 89798
Factor 5*g**2 + 3223700*g + 519612084500.
5*(g + 322370)**2
Solve -8*c**5/9 - 182*c**4/9 + 1102*c**3/9 + 9992*c**2/3 - 4296*c + 864 = 0 for c.
-18, 1/4, 1, 12
Find z, given that -z**3/3 + 313*z**2/3 - 5693*z + 5589 = 0.
1, 69, 243
Factor -4*v**3 + 1720*v**2 + 1148*v - 47444544.
-4*(v - 287)**2*(v + 144)
Let -3*b**3/8 + 27*b**2/2 - 243*b/2 = 0. Calculate b.
0, 18
Determine j, given that -22500*j**4 + 56743800*j**3 - 53696116*j**2 - 2984848*j - 40336 = 0.
-2/75, 1, 2521
Suppose 2*s**4/9 - 1508*s**3/9 + 285760*s**2/9 - 565504*s/9 = 0. What is s?
0, 2, 376
Factor 2*u**2 - 63200*u + 499280000.
2*(u - 15800)**2
Let 3*p**4/4 - 195*p**3/2 + 3699*p**2/4 - 2997*p + 3240 = 0. Calculate p.
3, 4, 120
Solve 2*h**3/11 + 246*h**2/11 + 7200*h/11 = 0.
-75, -48, 0
Find t, given that -2*t**4/13 + 12806*t**3/13 - 51186*t**2/13 - 38430*t/13 + 230364/13 = 0.
-2, 3, 6399
Factor 2*m**2 - 4342*m + 21660.
2*(m - 2166)*(m - 5)
Let -44*u**3 + 4256*u**2 - 80348*u - 1146072 = 0. Calculate u.
-102/11, 53
Let 100*b**5/3 + 4235*b**4/9 + 4036*b**3/3 + 11815*b**2/9 + 1522*b/3 + 64 = 0. Calculate b.
-32/3, -2, -3/5, -1/4
Suppose -o**2/2 - 63*o/5 - 5/2 = 0. What is o?
-25, -1/5
Determine h so that -2*h**3/9 - 232*h**2/9 - 1742*h/9 - 168 = 0.
-108, -7, -1
Suppose -h**5/9 + 16*h**4/9 + h**3/3 - 50*h**2/9 + 32*h/9 = 0. Calculate h.
-2, 0, 1, 16
Factor 2*w**3 + 2*w**2 - 92*w + 160.
2*(w - 5)*(w - 2)*(w + 8)
What is t in 2*t**3/3 - 190*t**2 - 48928*t + 41887928/3 = 0?
-271, 278
Suppose a**4 - 5*a**3 - 8*a**2 + 12*a = 0. What is a?
-2, 0, 1, 6
Suppose -4*t**3/3 - 27256*t**2/3 - 54496*t/3 = 0. What is t?
-6812, -2, 0
Factor 2*k**2 - 15490*k - 30988.
2*(k - 7747)*(k + 2)
Find f, given that -f**3 + 951*f**2 + 3816*f + 3820 = 0.
-2, 955
Factor 2*k**5/13 - 34*k**4 + 12060*k**3/13 - 116600*k**2/13 + 382000*k/13.
2*k*(k - 191)*(k - 10)**3/13
Solve 3*h**3 - 210*h**2 - 1749*h + 10164 = 0 for h.
-11, 4, 77
Let -2*t**2 + 11798*t - 35376 = 0. Calculate t.
3, 5896
Factor s**3 + 501*s**2 - 6145*s + 5643.
(s - 11)*(s - 1)*(s + 513)
Let -k**4/4 + 2*k**3 + 209*k**2/4 = 0. Calculate k.
-11, 0, 19
Factor -4*s**3 - 17688*s**2 + 70800*s - 70816.
-4*(s - 2)**2*(s + 4426)
Let -122*h**3 - 716*h**2 + 128*h + 4160 = 0. Calculate h.
-4, 130/61
Suppose -i**2/5 - 326874*i/5 - 26711652969/5 = 0. Calculate i.
-163437
Factor -z**2 + 235*z - 5616.
-(z - 208)*(z - 27)
Factor -2*k**2 - 902*k - 4460.
-2*(k + 5)*(k + 446)
Determine r, given that 3*r**5/2 + 99*r**4/2 - 90*r**3 - 1362*r**2 - 1224*r = 0.
-34, -4, -1, 0, 6
Factor -42*o**2 - 1154*o - 1612.
-2*(o + 26)*(21*o + 31)
Factor 40*n**3/11 + 778*n**2/11 + 3560*n/11 - 200.
2*(n + 10)**2*(20*n - 11)/11
Determine x, given that 8*x**3 - 1196*x**2 + 2368*x - 1180 = 0.
1, 295/2
Factor -2*q**2/7 - 141076*q/7 - 141074/7.
-2*(q + 1)*(q + 70537)/7
What is b in -60*b**4 - 22328*b**3 - 91476*b**2 - 78040*b - 8832 = 0?
-368, -3, -1, -2/15
Factor -6*u**3/7 - 3876*u**2/