**3/5 + 1336*s**2/5 - 2112*s = 0.
0, 8, 660
Factor -2*s**4 - 36*s**3 - 58*s**2 + 96*s.
-2*s*(s - 1)*(s + 3)*(s + 16)
Factor -o**2/3 + 1670312*o/3 - 697485544336/3.
-(o - 835156)**2/3
Let -2*l**2/19 + 66*l/19 + 2576/19 = 0. What is l?
-23, 56
What is i in -i**2/4 - 317945*i/2 - 101089023025/4 = 0?
-317945
Let -139*m**2/3 - 16684*m/3 - 160 = 0. Calculate m.
-120, -4/139
Find j, given that -5*j**4 + 20720*j**3 + 103710*j**2 + 62280*j - 186705 = 0.
-3, 1, 4149
Let 3*h**3 + 639*h**2 = 0. What is h?
-213, 0
What is r in -r**2/7 + 264*r/7 + 3601/7 = 0?
-13, 277
Factor 5*l**2/4 + 220*l - 3325.
5*(l - 14)*(l + 190)/4
Factor g**3/6 - 1123*g**2/6 - 28770*g.
g*(g - 1260)*(g + 137)/6
Suppose -205*t**4/6 + 269*t**3/2 + 769*t**2/2 + 1373*t/6 + 13 = 0. What is t?
-1, -13/205, 6
Factor 4*l**3 - 106400*l**2 - 212812*l - 106408.
4*(l - 26602)*(l + 1)**2
Solve -16*s**4 - 3052*s**3 + 10044*s**2 - 8528*s + 1552 = 0.
-194, 1/4, 1, 2
Find c such that -16*c**3 + 4228*c**2 + 7456*c - 2128 = 0.
-2, 1/4, 266
Factor 2*f**3/9 + 40*f**2/9 - 706*f/9 - 248/3.
2*(f - 12)*(f + 1)*(f + 31)/9
Solve -2*o**4/17 - 46*o**3/17 + 2966*o**2/17 + 65254*o/17 - 68172/17 = 0 for o.
-39, -23, 1, 38
Let -2*t**5 + 10518*t**4 - 10512*t**3 - 21032*t**2 = 0. Calculate t.
-1, 0, 2, 5258
Solve -2*b**2/3 + 10*b/3 + 8308/3 = 0 for b.
-62, 67
Factor s**3/4 - 501*s**2/4 + 2963*s/4 + 3465/4.
(s - 495)*(s - 7)*(s + 1)/4
Determine c so that 2*c**3 - 1148*c**2 - 5790*c = 0.
-5, 0, 579
Factor 2*q**3/9 + 302*q**2/9 - 8*q/9 - 1208/9.
2*(q - 2)*(q + 2)*(q + 151)/9
Solve 3*o**5/7 - 7746*o**4/7 - 3330*o**3 + 116268*o**2/7 + 147435*o/7 - 232650/7 = 0 for o.
-5, -2, 1, 3, 2585
Let m**3/5 - 43073*m**2/5 + 463756216*m/5 + 1391656332/5 = 0. What is m?
-3, 21538
Solve 7*q**2 + 4666*q = 0.
-4666/7, 0
Factor 2*a**2 - 405980*a + 20602470050.
2*(a - 101495)**2
Suppose -q**5/4 - 197*q**4/2 + 1597*q**3/2 - 2205*q**2 + 9639*q/4 - 1809/2 = 0. Calculate q.
-402, 1, 3
Factor 28*m**2 + 941*m + 561.
(m + 33)*(28*m + 17)
Find n such that 3*n**2 - 12270*n - 36837 = 0.
-3, 4093
Solve 18*c**5/5 + 634*c**4/5 + 1688*c**3/5 - 5416*c**2/5 - 256*c = 0 for c.
-32, -5, -2/9, 0, 2
Solve k**4 + 26413*k**3 - 26414*k**2 = 0.
-26414, 0, 1
Factor -s**4 + 349*s**3 - 28091*s**2 - 412861*s - 1179396.
-(s - 181)**2*(s + 4)*(s + 9)
Find b, given that 211250*b**4/7 - 199550*b**3/7 - 11538*b**2/7 - 162*b/7 = 0.
-9/325, 0, 1
Let 2*j**2/11 - 7256*j/11 + 35730 = 0. What is j?
55, 3573
Factor 5*i**2/6 + 18095*i/6 - 115805.
5*(i - 38)*(i + 3657)/6
Factor -2*f**2/11 - 136722*f/11.
-2*f*(f + 68361)/11
Find a, given that a**3 - 3*a**2 - 1849*a + 5547 = 0.
-43, 3, 43
Factor z**3 - 3233*z**2 + 41860*z.
z*(z - 3220)*(z - 13)
Suppose -4*x**5/11 + 106*x**4/11 + 6478*x**3/11 + 26924*x**2/11 + 11856*x/11 = 0. Calculate x.
-26, -4, -1/2, 0, 57
Factor 5*m**3 + 222*m**2 + 295*m - 258.
(m + 2)*(m + 43)*(5*m - 3)
Let p**3/3 + 1723*p**2/3 = 0. What is p?
-1723, 0
Factor -5*d**2 + 199855*d - 399690.
-5*(d - 39969)*(d - 2)
Let -2*x**3/17 + 164*x**2/17 - 928*x/17 + 1216/17 = 0. Calculate x.
2, 4, 76
Solve -4*v**3 + 264*v**2 - 512*v = 0.
0, 2, 64
Find k, given that -2*k**2/9 + 85466*k/9 - 9496 = 0.
1, 42732
Factor i**4/11 - 21339*i**3/11 - 213465*i**2/11 - 533725*i/11.
i*(i - 21349)*(i + 5)**2/11
Let 30*f**2 + 38852*f + 2590 = 0. Calculate f.
-1295, -1/15
Determine q, given that -3*q**4/2 - 75*q**3 - 1041*q**2/2 + 1353*q = 0.
-41, -11, 0, 2
Factor 3*s**3 - 684*s**2 + 3363*s - 4014.
3*(s - 223)*(s - 3)*(s - 2)
Factor 6*z**3 - 1450052*z**2 + 2900101*z/6 - 241675/6.
(z - 241675)*(6*z - 1)**2/6
Factor -c**3/2 - 241*c**2/2 - 819*c.
-c*(c + 7)*(c + 234)/2
What is f in -f**2/2 + 41721*f - 1740641841/2 = 0?
41721
Find a such that -a**4 + 4*a**3 + 416*a**2 + 3696*a + 9360 = 0.
-10, -6, 26
Let -w**5/4 + 593*w**4/2 + 4765*w**3/2 + 6561*w**2 + 28647*w/4 + 5373/2 = 0. What is w?
-3, -1, 1194
Factor -4*j**3/5 - 44492*j**2/5 - 123743372*j/5 - 123698884/5.
-4*(j + 1)*(j + 5561)**2/5
Factor 4*q**3 + 5484*q**2 + 27176*q - 196704.
4*(q - 4)*(q + 9)*(q + 1366)
Determine m so that -15*m**4 + 381*m**3 + 1059*m**2 + 915*m + 252 = 0.
-1, -3/5, 28
Let 3*t**3/4 - 132*t**2 + 2157*t - 3792 = 0. Calculate t.
2, 16, 158
Solve k**5 - 84*k**4 + 239*k**3 + 336*k**2 - 972*k = 0 for k.
-2, 0, 2, 3, 81
Factor -4*v**3/3 - 1084*v**2/3 - 92288*v/3 - 2358272/3.
-4*(v + 47)*(v + 112)**2/3
Solve -3*r**4 + 12*r**3 + 39*r**2 - 84*r - 180 = 0 for r.
-2, 3, 5
Find x such that 594*x**5/13 + 1632*x**4/13 - 12760*x**3/13 - 27232*x**2/13 + 52096*x/13 + 17920/13 = 0.
-4, -10/33, 14/9, 4
What is a in 14*a**3 - 654*a**2 - 5480*a - 1512 = 0?
-7, -2/7, 54
Let 2*g**4 - 20*g**3 - 2376*g**2 - 13104*g = 0. Calculate g.
-26, -6, 0, 42
Factor 4*s**3 - 119456*s**2 + 119452*s.
4*s*(s - 29863)*(s - 1)
Suppose 29860*c**2 - 6012*c + 8 = 0. Calculate c.
2/1493, 1/5
Factor 6*f**2 - 26*f/5 - 68/5.
2*(f - 2)*(15*f + 17)/5
Factor 3*y**2/2 - 317955*y/2 + 158976.
3*(y - 105984)*(y - 1)/2
Find f such that -2*f**3/9 - 166864*f**2/3 - 667448*f/3 - 2002336/9 = 0.
-250292, -2
Solve 4*t**3 - 32144*t**2 - 225180*t - 193032 = 0 for t.
-6, -1, 8043
What is w in -64*w**2/5 + 1379936*w/5 - 7438372516/5 = 0?
43123/4
Solve -g**4 - 59*g**3 + 1223*g**2 + 37299*g + 36018 = 0 for g.
-69, -18, -1, 29
Factor 3*z**2/7 - 32565*z/7 + 32562/7.
3*(z - 10854)*(z - 1)/7
Solve 22*q**3/7 + 730*q**2/7 + 5984*q/7 + 152 = 0.
-19, -14, -2/11
Factor 9*d**2/5 - 282*d/5 - 99.
3*(d - 33)*(3*d + 5)/5
Suppose -d**4 - 672*d**3 - 7907*d**2 + 8580*d = 0. What is d?
-660, -13, 0, 1
Let 2*k**3/7 + 902*k**2/7 + 54100*k/7 + 7600 = 0. Calculate k.
-380, -70, -1
Factor 125*k**5 - 2350*k**4 - 68565*k**3 - 79942*k**2 - 31660*k - 4200.
(k - 35)*(k + 15)*(5*k + 2)**3
Solve -s**4/5 - 111*s**3/5 + 578*s**2/5 - 48*s - 928/5 = 0 for s.
-116, -1, 2, 4
Suppose 3*r**4 - 273*r**3 + 8091*r**2 - 72075*r - 178746 = 0. Calculate r.
-2, 31
Suppose -h**4 + 419*h**3 - 2069*h**2 - 419*h + 2070 = 0. What is h?
-1, 1, 5, 414
Factor -3*o**2 + 6186*o + 24792.
-3*(o - 2066)*(o + 4)
Let 2*a**2/3 - 894398*a/3 - 894400/3 = 0. What is a?
-1, 447200
Factor -25*n**3/6 + 294295*n**2/6 + 117727*n/2 + 35319/2.
-(n - 11773)*(5*n + 3)**2/6
Factor -4*b**3 + 8540*b**2 - 4571008*b + 13636272.
-4*(b - 1066)**2*(b - 3)
Factor 2*w**4/5 + 28622*w**3/5 + 5724*w**2.
2*w**2*(w + 1)*(w + 14310)/5
Factor -3*o**2 - 219*o + 222.
-3*(o - 1)*(o + 74)
Suppose 6*d**3/5 + 1117*d**2/5 - 414*d - 376/5 = 0. What is d?
-188, -1/6, 2
Determine s, given that 14*s**2 + 277266*s - 79220 = 0.
-19805, 2/7
Factor q**5/5 - 84*q**4/5 + 1328*q**3/5 + 4498*q**2/5 + 4671*q/5 + 1586/5.
(q - 61)*(q - 26)*(q + 1)**3/5
Find c such that -231*c**4 - 2634*c**3 - 6003*c**2 - 3036*c + 564 = 0.
-94/11, -2, -1, 1/7
Solve -2*j**2/11 + 13964*j/11 = 0 for j.
0, 6982
Solve 4*u**2 + 13216*u + 522240 = 0 for u.
-3264, -40
Suppose 1330*q**4 - 132355*q**3 + 322520*q**2 + 188695*q - 2910 = 0. Calculate q.
-1/2, 2/133, 3, 97
Factor -h**4/8 - 121*h**3/8 + 1043*h**2/2.
-h**2*(h - 28)*(h + 149)/8
Find h, given that 708*h**2 + 23360*h - 132 = 0.
-33, 1/177
Factor -3*r**2 - 91374*r - 695767323.
-3*(r + 15229)**2
Let 2*u**5/3 + 82*u**4/3 - 434*u**3 + 5374*u**2/3 - 7180*u/3 + 1008 = 0. What is u?
-54, 1, 4, 7
Solve -4*q**3 + 542048*q**2 - 5420180*q + 13550200 = 0 for q.
5, 135502
Find y, given that -5*y**2 + 41800*y + 167280 = 0.
-4, 8364
Determine o, given that o**4/11 - 5257*o**3/11 - 3*o**2/11 + 15769*o/11 + 10514/11 = 0.
-1, 2, 5257
Let 2*x**3/3 + 22*x**2 + 90*x - 486 = 0. What is x?
-27, -9, 3
Suppose i**3/5 - 2479*i**2 - 285614*i/5 = 0. What is i?
-23, 0, 12418
Factor -s**4/3 + 2906*s**3/3 - 937020*s**2 + 901382200*s/3 + 3650692000/3.
-(s - 970)**3*(s + 4)/3
Find s such that 4*s**4 - 1132*s**3 + 19004*s**2 + 20140*s = 0.
-1, 0, 19, 265
What is p in -p**5/4 - 1287*p**4/2 - 1664063*p**3/4 - 4944681*p**2/2 + 416016*p + 2472984 = 0?
-1284, -6, -1, 1
Solve 4*t**3/3 - 9680*t**2/3 + 363508*t/3 - 1146536 = 0.
19, 2382
Solve -5*x**4 - 8295*x**3 - 16570*x**2 = 0 for x.
-1657, -2, 0
What is c in 5*c**2 + 423*c + 252 = 0?
-84, -3/5
Factor 4*j**5 + 108*j**4 - 604*j**3 + 1124*j**2 - 888*j + 256.
4*(j - 2)*(j - 1)**3*(j + 32)
Factor -f**2/2 - 749*f/6 + 125/3.
-(f + 250)*(3*f - 1)/6
Let 578*l**3/5 + 3706*l**2/5 - 17568*l + 55080 = 0. Calculate l.
-17, 90/17
Factor -150*c**2 - 962*c + 616.
-2*(c + 