*2 - 4122417*v/5 + 80357472/5.
-(v - 52832)*(v - 39)**2/5
Factor -z**2/8 + 50531009*z/8 - 6316376.
-(z - 50531008)*(z - 1)/8
Determine z so that -2*z**2/5 + 20174*z/5 - 20148824/5 = 0.
1124, 8963
Determine t so that t**5 + 461*t**4 + 28670*t**3 + 134656*t**2 + 158304*t = 0.
-388, -68, -3, -2, 0
Solve -2*i**2 + 384722*i - 92218080 = 0.
240, 192121
Let -2*u**5 - 43982*u**4 + 3443250*u**3 + 10725542*u**2 + 175904*u - 14300712 = 0. Calculate u.
-22069, -2, 1, 81
Solve 2*n**3/7 - 7500*n**2/7 + 3871152*n/7 = 0 for n.
0, 618, 3132
Factor u**2 + 926*u - 8529480.
(u - 2494)*(u + 3420)
Factor 4*k**3 + 35812*k**2 + 101200320*k + 86780346624.
4*(k + 1609)*(k + 3672)**2
Find f, given that 3*f**2/2 + 710049*f/2 + 1065060 = 0.
-236680, -3
Factor -l**2/3 - 133033*l + 399100/3.
-(l - 1)*(l + 399100)/3
Find u, given that -2*u**3/13 + 670308*u**2/13 + 72416810*u/13 - 73087116/13 = 0.
-109, 1, 335262
Factor -4*d**2/5 + 15600*d - 9533484/5.
-4*(d - 19377)*(d - 123)/5
Solve 4*q**4 + 34381*q**3 - 2942605*q**2 - 737800*q = 0.
-8680, -1/4, 0, 85
Solve 4*p**3 + 6152*p**2 - 80652*p = 0.
-1551, 0, 13
Let -8*r**4/11 + 101370*r**3/11 + 684512*r**2/11 + 1267752*r/11 + 608544/11 = 0. What is r?
-4, -2, -3/4, 12678
Factor -5*p**3 - 6430390*p**2 - 6430385*p.
-5*p*(p + 1)*(p + 1286077)
Determine n, given that 3*n**2/2 + 36837*n/2 + 2369055 = 0.
-12149, -130
Find h such that h**4 - 3147*h**3 - 1955645*h**2 - 5825973*h + 7784764 = 0.
-529, -4, 1, 3679
Factor 19700*q**2/9 + 6564*q - 8.
4*(q + 3)*(4925*q - 6)/9
Solve 2*q**3 - 28808*q**2 + 776410*q - 747604 = 0 for q.
1, 26, 14377
Factor a**3/7 + 20147*a**2/7 + 15648568*a + 11364820740.
(a + 855)*(a + 9646)**2/7
Solve 4*o**5 + 23120*o**4 + 32895888*o**3 - 1481159680*o**2 + 16416784384*o = 0 for o.
-2912, 0, 22
Suppose 406*a**5/9 + 5006*a**4/3 + 17216*a**3 + 587984*a**2/9 + 222176*a/3 - 736 = 0. What is a?
-23, -6, -2, 2/203
Factor 3*f**2/4 - 18399*f/2 + 73548.
3*(f - 12258)*(f - 8)/4
Solve -4563*n**5/2 + 4376853*n**4/2 + 51081123*n**3 - 10547232*n**2 + 542064*n = 0 for n.
-23, 0, 4/39, 982
Suppose -k**3/3 - 26693*k**2/3 - 28805255*k/3 - 7935859171/3 = 0. Calculate k.
-25579, -557
Determine i so that i**4/3 + 4*i**3/3 - 3842*i**2 - 166572*i - 162729 = 0.
-63, -1, 123
Find o such that 3*o**5 + 46959*o**4 + 174234294*o**3 - 75542355756*o**2 - 228193908264*o = 0.
-8022, -3, 0, 394
Factor 5*n**3 - 351060*n**2 + 6181768500*n - 687961400000.
5*(n - 35050)**2*(n - 112)
Determine k so that k**3 - 123*k**2 - 68401*k + 206283 = 0.
-209, 3, 329
What is c in 4*c**4 + 1694*c**3 - 154244*c**2 + 1693224*c - 2783088 = 0?
-502, 2, 21/2, 66
Find q, given that 2*q**4/3 + 1386*q**3 + 722436*q**2 + 2129976*q - 12929328 = 0.
-1038, -6, 3
Factor 285*n**2 + 69601565*n + 1221080.
5*(n + 244216)*(57*n + 1)
Determine j so that j**3/2 - 36134*j**2 + 653915648*j - 39104964480 = 0.
60, 36104
What is i in 2*i**3 - 478*i**2 - 64440*i - 249984 = 0?
-93, -4, 336
Solve g**4/4 - 400013*g**3/4 - 200007*g**2/2 = 0.
-1, 0, 400014
Find w, given that -w**5/10 - 5603*w**4/5 - 6197261*w**3/2 + 1144739556*w**2/5 = 0.
-5639, 0, 72
What is v in 2*v**4/5 + 94*v**3 - 176496*v**2/5 + 2863384*v/5 - 537472 = 0?
-442, 1, 16, 190
Let -4*l**2/3 + 175076*l/3 - 2040920 = 0. What is l?
35, 43734
Solve -2*z**5/9 - 146*z**4/9 + 1060*z**3 + 1152100*z**2/9 + 34498750*z/9 + 109656250/3 = 0.
-55, -25, 87
Solve 31449*p**2/4 - 3*p/4 = 0 for p.
0, 1/10483
Suppose 77444*m**3 + 24*m**2 = 0. Calculate m.
-6/19361, 0
Find x, given that x**2 + 304611*x + 913824 = 0.
-304608, -3
Factor -a**3/5 + 80361*a**2/5 - 5459924*a/5.
-a*(a - 80293)*(a - 68)/5
Solve v**2/2 - 39324*v + 550438 = 0.
14, 78634
Let -v**4/2 - 4789*v**3/2 + 9645*v**2/2 + 301833*v/2 = 0. What is v?
-4791, -7, 0, 9
Factor 2*z**2 + 174992*z - 42993090.
2*(z - 245)*(z + 87741)
Let -t**4 + 1310248*t**3 - 429106212312*t**2 - 53224281059936*t - 1650108862027024 = 0. What is t?
-62, 655186
Factor 2*m**2/5 - 29296856*m/5 + 58593704/5.
2*(m - 14648426)*(m - 2)/5
Find b such that b**5 - 1609*b**4 - 40782*b**3 - 111068*b**2 - 71896*b = 0.
-22, -2, -1, 0, 1634
Solve -2*o**3 - 1130238*o**2 - 159704039424*o - 6865184044184 = 0.
-282538, -43
Factor k**3 + 7987*k**2 + 529410*k - 9741600.
(k - 15)*(k + 82)*(k + 7920)
Suppose -5*i**3 - 6205*i**2 - 67700*i - 61500 = 0. Calculate i.
-1230, -10, -1
What is f in -10*f**5 - 131568*f**4 - 21153906*f**3 + 4236044*f**2 = 0?
-12994, -163, 0, 1/5
Suppose 3*j**3 - 3366*j**2 - 1432137*j = 0. Calculate j.
-329, 0, 1451
Suppose 75020*i**4/3 - 167992*i**3/3 + 127436*i**2/3 - 12592*i + 1104 = 0. Calculate i.
23/155, 6/11, 1
Solve -5*f**3 + 135*f**2 + 3890*f + 7200 = 0.
-16, -2, 45
Factor -68394*r**4 - 68589*r**3 - 195*r**2.
-3*r**2*(r + 1)*(22798*r + 65)
Suppose -3*i**5/2 + 75*i**4/2 + 1443*i**3/2 - 32151*i**2/2 - 16758*i = 0. What is i?
-21, -1, 0, 19, 28
Factor -1532978*m**3/7 + 1532980*m**2/7 - 2*m/7.
-2*m*(m - 1)*(766489*m - 1)/7
Factor 8*h**2/5 + 14458492*h/5 + 7229244/5.
4*(h + 1807311)*(2*h + 1)/5
Factor -3*u**3/5 - 296613*u**2/5 - 3557736*u - 53357940.
-3*(u + 30)**2*(u + 98811)/5
Factor -2*q**2 - 311984*q/5 - 124792/5.
-2*(q + 31198)*(5*q + 2)/5
Let -5*g**5 + 55*g**4 + 7485*g**3 + 7425*g**2 = 0. What is g?
-33, -1, 0, 45
Suppose -2*l**2/9 - 1436*l/9 + 227810/3 = 0. Calculate l.
-1045, 327
Determine h, given that 5*h**5 - 4215*h**4 + 926890*h**3 - 16034840*h**2 - 18836640*h + 33948800 = 0.
-2, 1, 20, 412
Find g, given that 2*g**3/13 - 831698*g**2/13 + 86464779550*g/13 + 86465611250/13 = 0.
-1, 207925
Suppose -5*f**5 + 47365*f**4 - 709545*f**3 + 1844495*f**2 - 1749790*f + 567480 = 0. What is f?
1, 12, 9458
Factor -107*z**3 + 9488*z**2 - 238415*z + 1200234.
-(z - 41)**2*(107*z - 714)
Let 62*j**2/11 - 17914*j/11 + 17852/11 = 0. What is j?
1, 8926/31
Factor 10*x**2/7 + 11458334*x/7 + 4583332/7.
2*(x + 1145833)*(5*x + 2)/7
Determine k so that k**3 + 41791347*k**2 - 83582698*k = 0.
-41791349, 0, 2
Factor 2*b**3 - 727486*b**2 + 66151211216*b + 595419828768.
2*(b - 181876)**2*(b + 9)
Let -3*f**2 - 114143481*f = 0. What is f?
-38047827, 0
Let -27*k**3 + 42855*k**2 - 10165032*k + 2256780 = 0. Calculate k.
2/9, 290, 1297
Find q such that q**4/2 - 5867743*q**3/2 - 26404872*q**2 - 70413016*q - 46942016 = 0.
-4, -1, 5867752
Let -o**2/4 - 118519*o/4 - 59259/2 = 0. What is o?
-118518, -1
Suppose 20*d**5 - 16865*d**4 + 3444735*d**3 + 47281310*d**2 - 121945760*d + 27477600 = 0. Calculate d.
-15, 1/4, 2, 428
Let 1444*i**5 - 16386360*i**4 + 46470418808*i**3 + 97901604208*i**2 + 9919241700*i + 257645000 = 0. Calculate i.
-2, -1/19, 5675
Find s such that -s**4 + 34*s**3 + 1371*s**2 - 49420*s + 93100 = 0.
-38, 2, 35
Solve -x**5 + 1757*x**4 + 82809*x**3 + 232587*x**2 = 0 for x.
-43, -3, 0, 1803
Determine l so that 44*l**4 - 4584*l**3 + 4452*l**2 + 9080*l = 0.
-1, 0, 2, 1135/11
Suppose 12*a**5 - 1971*a**4 + 20544*a**3 + 17019*a**2 - 5508*a = 0. What is a?
-1, 0, 1/4, 12, 153
Suppose 3*r**4/5 - 186*r**3/5 - 4959*r**2/5 + 28134*r/5 - 34992/5 = 0. What is r?
-24, 2, 3, 81
Determine f, given that -f**3/3 + 225604*f**2/3 - 3158284*f/3 + 1804720 = 0.
2, 12, 225590
Factor -4*t**3/7 + 2531244*t**2/7 - 400461152076*t/7 + 3603945340836/7.
-4*(t - 316401)**2*(t - 9)/7
Factor -3*m**2/2 - 1956*m + 43395/2.
-3*(m - 11)*(m + 1315)/2
Let 13*f**5/6 - 3743*f**4/3 + 1017*f**3 + 63998*f**2/3 + 131645*f/6 + 2875 = 0. What is f?
-3, -1, -2/13, 5, 575
Factor -2*p**2/11 + 24179498*p/11 - 2198136.
-2*(p - 12089748)*(p - 1)/11
What is l in -l**2/6 + 129056908*l/3 - 8327842751260232/3 = 0?
129056908
Suppose -2*l**5/21 - 94*l**4/21 + 199862*l**3/21 - 6629426*l**2/21 + 6030740*l/7 = 0. Calculate l.
-355, 0, 3, 31, 274
Suppose -4*f**3/7 - 8860*f**2/7 - 919904*f - 1540730672/7 = 0. Calculate f.
-923, -646
Determine t so that t**3 - 5972535*t**2 + 8917790595288*t + 8917796567824 = 0.
-1, 2986268
Factor -5*x**2 - 11274700*x.
-5*x*(x + 2254940)
Determine n, given that -5*n**4 - 10273*n**3 + 92742*n**2 - 247552*n + 165088 = 0.
-10318/5, 1, 4
Factor 16*y**3 + 39076*y**2 - 185992*y - 48940.
4*(y - 5)*(y + 2447)*(4*y + 1)
Let 175*h**5 - 865*h**4 - 1022575*h**3 + 1988545*h**2 - 906780*h - 58500 = 0. Calculate h.
-75, -2/35, 1, 78
Factor -2*f**2/13 + 3479078*f/13 - 17395340/13.
-2*(f - 1739534)*(f - 5)/13
Factor -4*t**4 + 48752*t**3 - 150964944*t**2 + 14732854400*t - 3652993