*p.
3*p*(21*p - 3143530)/5
Find k, given that 5*k**5/2 + 13697*k**4/2 + 3181064*k**3 + 416848580*k**2 + 2165513400*k + 799713000 = 0.
-2194, -270, -5, -2/5
Solve -1346159*t**3/6 + 5384641*t**2/6 - 2692328*t/3 + 10/3 = 0 for t.
5/1346159, 2
Determine j, given that j**5/3 - 22*j**4 - 1954*j**3/3 - 8732*j**2/3 + 13611*j - 30082/3 = 0.
-13, 1, 2, 89
Factor 7*d**3/5 - 776*d**2/5 + 644*d/5 + 352.
(d - 110)*(d - 2)*(7*d + 8)/5
Determine b, given that 8*b**3 - 42324*b**2 + 485892*b - 1182496 = 0.
7/2, 8, 5279
Determine b so that 27*b**4/5 - 44128746*b**3/5 + 176514696*b**2/5 - 47070560*b + 104601216/5 = 0.
4/3, 1634394
Solve 4*g**4 + 1232*g**3 - 564732*g**2 + 1683000*g = 0 for g.
-561, 0, 3, 250
Factor 5*b**2 + 5628825*b - 5628830.
5*(b - 1)*(b + 1125766)
Factor -a**3 + 325078*a**2 - 26413399328*a - 898431406624.
-(a - 162556)**2*(a + 34)
Let -v**2 - 42633*v - 980030 = 0. What is v?
-42610, -23
Factor 4*p**2 + 230320*p + 230316.
4*(p + 1)*(p + 57579)
Factor -5*m**2 + 1409285*m.
-5*m*(m - 281857)
Factor -5*g**4/3 - 201170*g**3/3 - 2022663605*g**2/3 + 5396988760*g - 10796123760.
-5*(g - 4)**2*(g + 20121)**2/3
Factor -4*g**2 - 738899584*g - 34123287202210816.
-4*(g + 92362448)**2
Determine a so that 1532*a**3 + 90396*a**2 + 175120*a + 912 = 0.
-57, -2, -2/383
Suppose -10*x**4 - 420755*x**3 + 2735305*x**2 - 1052080*x - 1262460 = 0. Calculate x.
-42082, -1/2, 1, 6
Factor b**3 + 920*b**2 + 198133*b - 399954.
(b - 2)*(b + 349)*(b + 573)
Determine g so that 4*g**2 + 129792*g - 2727396 = 0.
-32469, 21
Factor 2084*x**2/9 + 1189952*x/9 - 2284/3.
4*(x + 571)*(521*x - 3)/9
Determine u, given that -u**4/4 + 324845*u**3/2 + 5197585*u**2/4 - 324845*u/2 - 1299396 = 0.
-8, -1, 1, 649698
Find c such that c**5/7 - 304*c**4/7 + 7477*c**3/7 + 134970*c**2/7 + 542988*c/7 + 59400 = 0.
-6, -1, 42, 275
Factor -3*p**2 + 42117*p - 2056530.
-3*(p - 13990)*(p - 49)
Factor 2*i**3/5 - 10132*i**2/5 + 40502*i/5 - 30372/5.
2*(i - 5062)*(i - 3)*(i - 1)/5
Suppose 2*c**5/5 - 276622*c**4/5 - 1383142*c**3/5 - 2489674*c**2/5 - 387284*c - 553264/5 = 0. What is c?
-2, -1, 138316
Suppose -4*l**3 + 118569880*l**2 - 878676027700900*l = 0. Calculate l.
0, 14821235
Let -3*z**4 - 2085*z**3 - 86697*z**2 + 4193349*z + 4277964 = 0. What is z?
-647, -76, -1, 29
Let -3*x**3 + 412467*x**2 - 14152431645*x - 1718488473075 = 0. What is x?
-121, 68805
What is v in -v**3/4 - 10481*v**2/4 + 463057*v/4 - 452575/4 = 0?
-10525, 1, 43
Find s such that 2*s**5/5 - 774*s**4/5 + 76186*s**3/5 - 135922*s**2/5 - 22207188*s/5 + 44360896/5 = 0.
-16, 2, 19, 191
Find q, given that -2*q**2/3 - 2668322*q/3 - 21346448/3 = 0.
-1334153, -8
Factor -3*x**2 + 15071079*x + 15071082.
-3*(x - 5023694)*(x + 1)
Factor 2764*u**3/3 - 16594*u**2/3 + 8312*u - 30.
2*(u - 3)**2*(1382*u - 5)/3
Factor r**3/8 - 18971*r**2/2 - 1973491*r/8 - 6414395/4.
(r - 75910)*(r + 13)**2/8
Let 6*u**4/5 - 487416*u**3/5 - 18530472*u**2/5 = 0. Calculate u.
-38, 0, 81274
Factor -2*d**2/9 - 14496128*d/9 - 26267215874048/9.
-2*(d + 3624032)**2/9
Factor -3*l**2 + 825621*l + 825624.
-3*(l - 275208)*(l + 1)
Solve 2*j**4 + 11738168*j**3 + 35214486*j**2 - 8*j - 46952648 = 0 for j.
-5869081, -2, 1
Find g, given that 2*g**5/11 - 12*g**4 - 1194*g**3/11 + 52*g**2 + 12432*g/11 = 0.
-7, -4, 0, 3, 74
What is w in 3*w**3 + 206880*w**2 + 3565783536*w - 28539510144 = 0?
-34484, 8
Find r, given that 4*r**3/7 + 14570480*r**2/7 + 13269234125312*r/7 + 1008377636187136/7 = 0.
-1821272, -76
Factor s**4 + 81019*s**3 + 405074*s**2 + 324056*s.
s*(s + 1)*(s + 4)*(s + 81014)
Solve -20*v**5/7 - 1528*v**4/7 - 30068*v**3/7 - 223824*v**2/7 - 598896*v/7 - 29376 = 0.
-51, -12, -7, -6, -2/5
Suppose 14*i**3/5 - 27726*i**2/5 + 412936*i/5 - 385224/5 = 0. Calculate i.
1, 14, 13758/7
Factor -v**3/4 - 103*v**2 - 11811*v/4.
-v*(v + 31)*(v + 381)/4
Factor -i**2/3 - 9322912*i/3 - 21729172039936/3.
-(i + 4661456)**2/3
Factor 16*t**3 + 379996*t**2 - 95000*t.
4*t*(t + 23750)*(4*t - 1)
Factor -4*k**2 - 108095184*k - 730285550249616.
-4*(k + 13511898)**2
Determine o, given that -7*o**4/4 - 25999*o**3/4 + 338483*o**2/2 + 24310*o = 0.
-3740, -1/7, 0, 26
Determine g so that -67*g**2 - 5516*g + 59616 = 0.
-92, 648/67
Factor 3*d**3 + 12003*d**2 + 4164468*d - 8376972.
3*(d - 2)*(d + 386)*(d + 3617)
Factor 3*h**3 - 197541*h**2 - 790227*h + 987765.
3*(h - 65851)*(h - 1)*(h + 5)
Suppose 2*s**5 - 1445980*s**4 - 1445982*s**3 = 0. What is s?
-1, 0, 722991
Factor -2584*p**2 - 10388*p - 208.
-4*(p + 4)*(646*p + 13)
Solve 245*d**5 - 1231*d**4 - 5850*d**3 + 144*d**2 = 0 for d.
-3, 0, 6/245, 8
Find v such that 2*v**3/5 + 6846*v**2/5 + 28604*v + 462672/5 = 0.
-3402, -17, -4
Factor -2*l**2 + 128*l + 154752.
-2*(l - 312)*(l + 248)
Let -2*g**5 - 9898*g**4 - 811278*g**3 - 17158662*g**2 - 100263960*g + 118243800 = 0. What is g?
-4866, -54, -15, 1
Solve 16*h**3/3 - 26*h**2 - 8*h + 70/3 = 0.
-1, 7/8, 5
Find b such that 4*b**5/3 - 2657500*b**4/3 + 37204492*b**3/3 - 183364196*b**2/3 + 372042560*b/3 - 265744400/3 = 0.
2, 5, 664361
Find a such that -2*a**4/3 + 13086710*a**3 - 64223248527392*a**2 + 192669706322048*a/3 = 0.
0, 1, 9815032
What is n in 5*n**5 + 1036195*n**4 + 71579659800*n**3 + 1648193245864000*n**2 - 1648264826560000*n = 0?
-69080, 0, 1
Suppose -z**2/5 + 2569516*z/5 + 2569517/5 = 0. Calculate z.
-1, 2569517
Factor 16*m**2/7 + 141926*m/7 + 5229358/7.
2*(m + 37)*(8*m + 70667)/7
Let -4*a**4 + 8872888*a**3 - 6560654793840*a**2 + 1616969596500266400*a + 12936176658451872000 = 0. What is a?
-8, 739410
Factor 2*s**3 - 139268*s**2 + 2435273378*s - 376521013752.
2*(s - 34739)**2*(s - 156)
Suppose 3*u**4/4 - 1419*u**3/4 + 171195*u**2/4 - 812541*u/4 - 492579/2 = 0. What is u?
-1, 6, 229, 239
Factor -5*x**2/4 - 41921865*x - 351488553015645.
-5*(x + 16768746)**2/4
Let 3*q**3 - 31839*q**2 + 477018*q - 1144584 = 0. What is q?
3, 12, 10598
Find m such that 3*m**5/5 + 156*m**4/5 - 48663*m**3 + 4573524*m**2 + 243312*m/5 - 22867776/5 = 0.
-348, -1, 1, 148
Factor 44*m**2 - 6040*m - 1758400.
4*(m - 280)*(11*m + 1570)
Suppose -2*q**2/3 - 7162*q/3 + 2931944 = 0. What is q?
-4548, 967
Determine y, given that 2*y**4 + 1252*y**3 + 26194*y**2 - 1623952*y + 1596504 = 0.
-602, -51, 1, 26
Factor l**4 - 395*l**3 + 52266*l**2 - 2350660*l + 4495400.
(l - 133)*(l - 130)**2*(l - 2)
Determine l so that 3*l**2/2 + 2736015*l + 2495259360075/2 = 0.
-912005
Factor 4*t**4 + 4568*t**3 + 1313232*t**2 + 5157416*t - 6475220.
4*(t - 1)*(t + 5)*(t + 569)**2
Factor -2*s**2/11 + 154072684*s/11 - 2967298994370482/11.
-2*(s - 38518171)**2/11
Factor -4*n**3 + 15569492*n**2 - 124555744*n + 249111360.
-4*(n - 3892365)*(n - 4)**2
Factor -3*b**3 + 9048*b**2 + 1070460*b.
-3*b*(b - 3130)*(b + 114)
Find x, given that 4096*x**5/3 + 2386223872*x**4/3 + 944545296*x**3 + 475379617*x**2/3 + 28546078*x/3 + 194191 = 0.
-582573, -1, -1/16
Determine x so that 2*x**4/15 + 4393012*x**3/15 + 482458589146*x**2/3 - 9649382648648*x/5 = 0.
-1098259, 0, 12
Determine h, given that 2*h**4/13 + 14148*h**3/13 + 32421632*h**2/13 + 24266880828*h/13 + 24234473342/13 = 0.
-3151, -1961, -1
Factor 358*b**3/9 - 40522*b**2/3 - 244564*b/9.
2*b*(b + 2)*(179*b - 61141)/9
Determine l, given that -l**4/7 - 20*l**3 - 5613*l**2/7 - 64166*l/7 + 69920/7 = 0.
-80, -38, -23, 1
Find z, given that 2*z**2/7 + 1509784*z/7 + 1509782/7 = 0.
-754891, -1
Solve -2*c**2 + 26407502*c - 26407500 = 0 for c.
1, 13203750
Factor -16*k**3/7 + 3343448*k**2/7 + 1671745*k + 1462783.
-(k - 208969)*(4*k + 7)**2/7
What is c in -c**4/7 + 3676*c**3/7 - 859423*c**2/7 - 123300*c = 0?
-1, 0, 252, 3425
Let -2*m**5/13 - 438*m**4/13 - 24398*m**3/13 + 257238*m**2/13 + 31387600*m/13 - 31620000/13 = 0. What is m?
-100, -51, 1, 31
Factor -a**2/2 - 306700*a + 613401/2.
-(a - 1)*(a + 613401)/2
Suppose -2*j**3/11 + 7398*j**2/11 - 5292318*j/11 - 5299718/11 = 0. Calculate j.
-1, 971, 2729
Factor -4*v**2/3 - 492988*v/3 - 3121776.
-4*(v + 19)*(v + 123228)/3
Let 95*g**4 + 2285*g**3 - 86235*g**2 - 380365*g - 19780 = 0. Calculate g.
-43, -4, -1/19, 23
Factor 961*k**2/4 - 71812523*k + 5366325140089.
(31*k - 4633066)**2/4
Determine a, given that -3*a**5 + 1968*a**4 + 563232*a**3 - 4070742*a**2 - 9823293*a - 5191290 = 0.
-221, -1, 9, 870
Factor x**3/6 - 154793*x**2/6 + 5989831211*x/6 + 29953026005/6.
(x - 77399)**2*(x + 5)/6
Find h such that 15*h**3/7 + 511968*h**2/7 