*q/5 - 13343778/5 = 0.
-2583
Determine s so that 3*s**5/8 + 3*s**4/2 - 243*s**3/4 + 339*s**2/2 - 1317*s/8 + 54 = 0.
-16, 1, 9
Let 13*m**2 - 5303*m - 408 = 0. What is m?
-1/13, 408
Find b, given that b**3 + 214*b**2 + 11660*b + 22472 = 0.
-106, -2
What is p in p**3/11 + 1418*p**2/11 - 12835*p/11 + 11416/11 = 0?
-1427, 1, 8
Solve 2*w**2/15 - 394*w/5 + 1176/5 = 0 for w.
3, 588
Suppose 2*i**4 - 80*i**3 + 626*i**2 - 732*i - 1440 = 0. Calculate i.
-1, 3, 8, 30
Find d, given that 2*d**3/3 - 2096*d**2/3 + 10438*d/3 - 8344/3 = 0.
1, 4, 1043
Factor -31764*n**3 - 254104*n**2 - 508160*n + 128.
-4*(n + 4)**2*(7941*n - 2)
Suppose 10*t**3/11 - 54*t**2 - 9000*t/11 - 5184/11 = 0. Calculate t.
-12, -3/5, 72
Suppose -3*h**5 - 15*h**4 + 279*h**3 + 1023*h**2 - 5316*h - 6048 = 0. Calculate h.
-9, -7, -1, 4, 8
Suppose 4*z**2 + 549640*z + 18881508100 = 0. What is z?
-68705
Factor -5*c**4 - 4803*c**3 + 6732*c**2 - 1924*c.
-c*(c - 1)*(c + 962)*(5*c - 2)
Let -5*o**2 + 5865*o + 53190 = 0. Calculate o.
-9, 1182
Solve 2*u**4/13 - 334*u**3/13 + 442*u**2 + 19606*u/13 + 13524/13 = 0.
-2, -1, 23, 147
Factor 5*w**4 - 2790*w**3 + 491400*w**2 - 35350560*w + 906837120.
5*(w - 306)*(w - 84)**3
Suppose s**5/2 + 109*s**4/2 + 3851*s**3/2 + 50999*s**2/2 + 94350*s + 101250 = 0. Calculate s.
-54, -25, -3, -2
Let l**3/4 - 1027*l**2 + 4104*l = 0. What is l?
0, 4, 4104
Factor -4*f**4 + 4980*f**3 - 1660428*f**2 + 67454588*f.
-4*f*(f - 599)**2*(f - 47)
Determine u so that -7*u**5/12 + 97*u**4/6 - 961*u**3/12 + 925*u**2/6 - 379*u/3 + 110/3 = 0.
5/7, 1, 2, 22
Suppose -2*t**3 + 136*t**2 + 3918*t + 3780 = 0. What is t?
-21, -1, 90
Factor 13*n**2/4 + 59*n + 9.
(n + 18)*(13*n + 2)/4
Determine x so that 2*x**2 - 232*x + 6720 = 0.
56, 60
Factor -d**2/4 + 12433*d/2.
-d*(d - 24866)/4
Factor 3*c**3/4 - 120*c**2 - 489*c/4 + 483/2.
3*(c - 161)*(c - 1)*(c + 2)/4
Find y such that 2*y**5/7 - 150*y**4/7 - 2*y**3/7 + 150*y**2/7 = 0.
-1, 0, 1, 75
Factor -2*f**2/15 - 6226*f/15 - 24872/15.
-2*(f + 4)*(f + 3109)/15
Determine o so that -11672*o**4/5 + 2*o**3/5 + 35016*o**2/5 - 4670*o + 4/5 = 0.
-2, 1/5836, 1
Solve -2*u**3/5 + 4294*u**2/5 + 25836*u/5 = 0 for u.
-6, 0, 2153
Suppose -2*n**2/7 + 138*n/7 - 1768/7 = 0. What is n?
17, 52
Solve -2*s**5 + 22056*s**3 + 44096*s**2 = 0.
-104, -2, 0, 106
What is w in -5*w**3 + 128790*w**2 - 128775*w - 257570 = 0?
-1, 2, 25757
Factor -t**4 + 875*t**3 - 254031*t**2 + 24123569*t + 100615028.
-(t - 293)**3*(t + 4)
Determine i so that 3*i**3/2 - 105*i**2/2 - 97872*i - 97818 = 0.
-238, -1, 274
Determine w, given that -3*w**3/7 + 77265*w**2/7 - 231774*w/7 + 154512/7 = 0.
1, 2, 25752
Solve 4*h**4/7 - 428*h**3/7 + 12028*h**2/7 - 15852*h + 46368 = 0 for h.
7, 24, 69
Let -2*j**4/5 - 44*j**3/5 + 94*j**2 - 328*j/5 - 168 = 0. What is j?
-30, -1, 2, 7
Factor 2*h**4/11 + 45664*h**3/11 + 347518260*h**2/11 + 881422116336*h/11 - 881769680262/11.
2*(h - 1)*(h + 7611)**3/11
Suppose 25*n**3 + 710040*n**2 + 5041426005*n - 2016684010 = 0. Calculate n.
-14201, 2/5
Factor z**2/4 - 23659*z/4 + 23655.
(z - 23655)*(z - 4)/4
Solve -3*t**5 + 462*t**4 - 5649*t**3 + 21318*t**2 - 23688*t = 0.
0, 2, 4, 7, 141
Factor 16*b**2/15 - 66506*b/15 + 8312/3.
2*(b - 4156)*(8*b - 5)/15
What is i in -3*i**2/5 - 540661*i/5 - 36044 = 0?
-180220, -1/3
Factor x**5 + 37758*x**4 - 151044*x**3 + 151048*x**2.
x**2*(x - 2)**2*(x + 37762)
Suppose 4*p**3 + 72*p**2 - 364*p - 5472 = 0. What is p?
-19, -8, 9
Factor -2*i**3/5 + 6762*i**2/5 + 20304*i/5.
-2*i*(i - 3384)*(i + 3)/5
Determine z so that -4*z**2 + 411472*z - 10581825424 = 0.
51434
Find q, given that -3*q**5/7 + 150*q**4/7 - 555*q**3/7 + 120*q**2/7 + 828*q/7 = 0.
-1, 0, 2, 3, 46
What is n in -25*n**3/2 + 645*n**2/2 - 3519*n/2 + 5491/2 = 0?
17/5, 19
Factor -2*a**3 - 7238*a**2 - 43372*a - 57808.
-2*(a + 2)*(a + 4)*(a + 3613)
Determine g so that 365*g**5 + 1420*g**4 - 7095*g**3 - 16030*g**2 - 6920*g + 960 = 0.
-6, -1, 8/73, 4
Factor -z**2/2 + 8603*z - 74011609/2.
-(z - 8603)**2/2
Factor 2*x**2/15 + 2996444*x/15 + 1122334580642/15.
2*(x + 749111)**2/15
Find z, given that -z**4 + 68*z**3 - 1341*z**2 + 6262*z - 7688 = 0.
2, 4, 31
Find l, given that 2*l**5 - 22*l**4 - 354*l**3 + 622*l**2 + 5872*l + 6840 = 0.
-9, -2, 5, 19
Determine r, given that r**4 - 1671*r**3 - 1673*r**2 + 1671*r + 1672 = 0.
-1, 1, 1672
Solve 5*k**3 + 540*k**2 + 19200*k + 225280 = 0 for k.
-44, -32
Factor -1900*p**2/3 + 5704*p/3 - 4.
-4*(p - 3)*(475*p - 1)/3
Solve -3*s**3 + 648927*s**2 - 35092512072*s + 35091863148 = 0.
1, 108154
Factor -v**3/4 - 13*v**2/2 - 155*v/4 + 91/2.
-(v - 1)*(v + 13)*(v + 14)/4
Determine p, given that p**2/5 + 84246*p/5 - 84247/5 = 0.
-84247, 1
Factor -x**2/2 + 25469*x/2 - 25467.
-(x - 25467)*(x - 2)/2
Factor -5*w**3 - 19215*w**2 + 76925*w - 57705.
-5*(w - 3)*(w - 1)*(w + 3847)
Let -3*z**2/2 - 10920*z - 19874400 = 0. Calculate z.
-3640
Determine p, given that 4*p**5 - 52*p**4 - 2856*p**3 - 7928*p**2 + 2852*p + 7980 = 0.
-19, -3, -1, 1, 35
Factor 959*q**2/6 + 1438*q/3 - 1/2.
(q + 3)*(959*q - 1)/6
Solve -x**3/5 + 154*x**2/5 - 811*x + 7502/5 = 0.
2, 31, 121
Factor 52095*d**3/2 + 104196*d**2 + 104214*d + 24.
3*(d + 2)**2*(17365*d + 4)/2
Factor -4*h**4 + 784*h**3 - 42688*h**2 + 406272*h.
-4*h*(h - 92)**2*(h - 12)
Factor 2*w**3 + 6232*w**2 - 563730*w + 557496.
2*(w - 87)*(w - 1)*(w + 3204)
Let 2*y**5/21 + 20*y**4 + 7622*y**3/7 + 372368*y**2/21 = 0. Calculate y.
-136, -37, 0
Factor 2*w**2/3 + 94736*w/3 + 31578.
2*(w + 1)*(w + 47367)/3
Determine o so that -2*o**5 + 644*o**4 + 2598*o**3 + 3256*o**2 + 1304*o = 0.
-2, -1, 0, 326
Factor 4*x**2 - 8840*x + 8836.
4*(x - 2209)*(x - 1)
Factor g**3/10 + 14621*g**2/10 - 29257*g/2 + 73155/2.
(g - 5)**2*(g + 14631)/10
Factor -4*h**2 - 2172*h - 2168.
-4*(h + 1)*(h + 542)
Suppose -3*k**5 - 906*k**4 - 69288*k**3 - 131376*k**2 + 277200*k + 540000 = 0. What is k?
-150, -2, 2
Factor 3*w**5/2 - 1149*w**4 + 440067*w**3/2.
3*w**3*(w - 383)**2/2
Determine w so that -5*w**2/2 + 637825*w - 81364146125/2 = 0.
127565
Let -b**3/2 - 41*b**2/2 + 761*b + 1600 = 0. What is b?
-64, -2, 25
Factor 3*d**2 - 76815*d + 153618.
3*(d - 25603)*(d - 2)
Find y such that 25*y**5 + 1755*y**4 - 15266*y**3 - 4236*y**2 + 10264*y - 2496 = 0.
-78, -1, 2/5, 8
Factor v**2/6 + 7493*v/6 + 3746/3.
(v + 1)*(v + 7492)/6
Factor g**2/8 - 37783*g/8 + 113313/2.
(g - 37771)*(g - 12)/8
Factor 3*p**3/2 - 3057*p**2/2 + 1008777*p/2 - 106386075/2.
3*(p - 397)**2*(p - 225)/2
Factor d**3 - 654*d**2 - 2692*d + 39480.
(d - 658)*(d - 6)*(d + 10)
Solve -5*s**3 - 235*s**2 - 2330*s + 9240 = 0.
-28, -22, 3
Suppose n**3/2 - 5695*n**2 + 159313*n/2 - 278712 = 0. Calculate n.
7, 11376
What is o in 2*o**2/15 - 5669464*o/15 + 4017852755912/15 = 0?
1417366
Factor -2*p**3 - 7550*p**2 - 6019600*p + 2162612000.
-2*(p - 265)*(p + 2020)**2
Solve s**2/3 + 38723*s + 116168/3 = 0.
-116168, -1
Factor 4*l**2 - 148*l - 13272.
4*(l - 79)*(l + 42)
Factor 3*x**3/7 + 4041*x**2/7 + 4038*x/7.
3*x*(x + 1)*(x + 1346)/7
What is t in -2*t**3/9 + 1388*t**2/3 - 240818*t = 0?
0, 1041
Factor -g**4 + 1047*g**3 - 19532*g**2.
-g**2*(g - 1028)*(g - 19)
Suppose -5*q**2 + 725*q - 15470 = 0. Calculate q.
26, 119
Factor i**2/2 - 3985*i/2 - 50125.
(i - 4010)*(i + 25)/2
Determine z so that -z**4/7 + 81*z**3/7 + 96*z**2 - 4796*z/7 - 11616/7 = 0.
-11, -2, 6, 88
Solve 2*k**3/3 + 624*k**2 + 40120*k + 2006816/3 = 0.
-868, -34
Determine r so that 2*r**3/5 + 54764*r**2/5 + 374448466*r/5 - 6005203232/5 = 0.
-13699, 16
Suppose 4*t**5 + 364*t**4 + 344*t**3 - 1456*t**2 - 1440*t = 0. Calculate t.
-90, -2, -1, 0, 2
Factor -y**2 + 917*y + 1838.
-(y - 919)*(y + 2)
Solve -p**2 - 21478*p - 771912 = 0.
-21442, -36
Determine r so that 2*r**3 - 487*r**2/4 + 6131*r/4 + 387/2 = 0.
-1/8, 18, 43
Solve -d**2 + 8419*d = 0 for d.
0, 8419
Let 2*d**3/5 + 1112*d**2/5 + 31570*d + 181500 = 0. Calculate d.
-275, -6
Factor -2*s**2/9 - 1120*s/9 - 71102/9.
-2*(s + 73)*(s + 487)/9
Let -3*y**2/8 + 2967*y/8 + 60705/2 = 0. What is y?
-76, 1065
Let -k**2/4 - 47310*k + 189241/4 = 0. Calculate k.
-189241, 1
Factor -3*g**3 - 2415*g**2 - 492000*g - 2400000.
-3*(g + 5)*(g + 400)**2
Solve 5*j**5 + 1975*j**4 + 241370*j**3 + 8351460*j**2 - 27280440*j = 0.
-166, -66, 0, 3
Factor -2*c**3/19 - 2256*c**2/19 + 4518*c/19 - 2260/19.
-2*(c - 1)**2*(c + 1130)/19
Determine u, given that 3*u**3 - 36*u**2 + 27*u + 66 = 0