-5*(m - 18926252)**2/6
Determine n so that n**2 - 99954*n - 23443992 = 0.
-234, 100188
Factor -4*i**3/5 + 107696*i**2 - 9691668*i/5 + 43611048/5.
-4*(i - 134602)*(i - 9)**2/5
Determine p, given that -3*p**3 + 43923*p**2 - 45761754*p - 45805680 = 0.
-1, 1130, 13512
Factor -p**3/2 - 33369*p**2/2 + 1203228*p - 21669768.
-(p - 36)**2*(p + 33441)/2
Factor 3*r**4/2 - 2373*r**3/2 - 39504*r**2.
3*r**2*(r - 823)*(r + 32)/2
Find j, given that 2*j**3 + 415340*j**2 + 1661334*j + 1245996 = 0.
-207666, -3, -1
Factor -2*w**2/9 + 116756276*w/3 - 1704003498173522.
-2*(w - 87567207)**2/9
Factor 4*i**4/3 + 18563704*i**3/3 - 37127440*i**2 + 222764704*i/3 - 148509824/3.
4*(i - 2)**3*(i + 4640932)/3
Determine y, given that -15*y**5 + 7059970*y**4 - 830700779800*y**3 - 4430593211250*y**2 - 1384564055625*y = 0.
-5, -1/3, 0, 235335
Factor -m**2/2 - 9417450*m - 44344182251250.
-(m + 9417450)**2/2
Suppose 6*g**5/5 + 63*g**4/5 - 207*g**3 - 318*g**2/5 + 17784*g/5 = 0. What is g?
-19, -4, 0, 6, 13/2
Find y such that -y**5 - 186631*y**4 + 5039531*y**3 - 43863937*y**2 + 129353510*y - 90342472 = 0.
-186658, 1, 4, 11
Factor -3*y**2/4 + 324321*y/2 + 648645/4.
-3*(y - 216215)*(y + 1)/4
What is o in 2*o**3/7 - 1084*o**2/7 + 3520*o + 16576 = 0?
-4, 28, 518
Find v such that 2*v**5/3 - 127546*v**4/3 + 2007291224*v**3/3 + 838388861120*v**2/3 - 2529215708800*v/3 + 1688819684000/3 = 0.
-410, 1, 2, 32090
Factor y**3/2 + 14397*y**2/2 - 2092185*y.
y*(y - 285)*(y + 14682)/2
Suppose -5*u**4/4 + 141300*u**3 - 7991643595*u**2/2 + 151688234700*u - 5762215216805/4 = 0. What is u?
19, 56501
Find c such that 3*c**2 + 1927269*c - 7709124 = 0.
-642427, 4
Solve -2*q**5 + 18442*q**4 - 1129572*q**3 - 56260988*q**2 - 109059482*q - 53946510 = 0 for q.
-31, -1, 95, 9159
Suppose -3364*g**3 + 5115832*g**2 - 499054640*g + 12592407200 = 0. Calculate g.
1490/29, 1418
Determine a so that 2*a**4/7 - 294*a**3 + 24202*a**2/7 + 209322*a/7 + 183060/7 = 0.
-5, -1, 18, 1017
Solve -20*g**4/7 + 83248*g**3/7 - 16184256*g**2/7 - 24228298048*g + 9691688384 = 0.
-1186, 2/5, 2674
Factor -2*t**2 - 3122*t + 70769640.
-2*(t - 5219)*(t + 6780)
Determine y so that 4*y**2 - 8571352*y + 34285344 = 0.
4, 2142834
Find o such that o**2 - 71937224*o = 0.
0, 71937224
Solve -2*v**5 + 600*v**4 + 136562*v**3 + 6567168*v**2 + 41023944*v + 67605408 = 0 for v.
-78, -4, -3, 463
Factor -p**2/4 + 3330727*p/4 - 3330725/2.
-(p - 3330725)*(p - 2)/4
Factor 22*q**3 - 320368660*q**2 + 1166319042582344*q + 212058018332944.
2*(q - 7281106)**2*(11*q + 2)
Factor -2*m**2/3 - 23158*m/3 - 1611260/3.
-2*(m + 70)*(m + 11509)/3
Solve -8*z**2 + 6254*z + 362824 = 0 for z.
-217/4, 836
Solve -m**4 + 373672*m**3 + 373674*m**2 - 373672*m - 373673 = 0 for m.
-1, 1, 373673
Let 3*o**4/5 - 597*o**3/5 - 18657*o**2/5 - 92967*o/5 - 14982 = 0. What is o?
-22, -5, -1, 227
Let 3*q**3/7 + 194335728*q**2/7 - 1166014449*q/7 + 1749021714/7 = 0. What is q?
-64778582, 3
Determine t, given that 2*t**2/5 + 13023652*t/5 + 21201938927138/5 = 0.
-3255913
Solve r**5/9 + 838*r**4/3 - 5080*r**3/3 - 302618*r**2/9 - 183155*r/3 - 29400 = 0.
-2520, -7, -1, 15
Suppose 3*o**3 - 2554317*o**2 + 5108550*o + 61303464 = 0. What is o?
-4, 6, 851437
Solve -5*c**4/7 + 43621*c**3 - 8972788*c**2/7 - 5615740*c/7 + 523200 = 0 for c.
-1, 2/5, 30, 61040
Factor -2*n**4/9 - 19690*n**3/9 - 7019088*n**2 - 61100845952*n/9 + 15893680587776/9.
-2*(n - 211)*(n + 3352)**3/9
Factor -2*a**2 + 35203104*a - 154907316404352.
-2*(a - 8800776)**2
Factor -t**3/10 - 332124*t**2 - 1378832713434*t/5 - 5515304283848/5.
-(t + 4)*(t + 1660618)**2/10
Determine b, given that -1105498*b**2 + 3316492*b/3 + 2/3 = 0.
-1/1658247, 1
Factor j**2 - 18*j - 9328.
(j - 106)*(j + 88)
Solve 5*y**2 + 149487210*y + 1117321297679205 = 0.
-14948721
Factor -146363*d**2/2 - 146365*d/2 - 1.
-(d + 1)*(146363*d + 2)/2
Suppose -2*x**2/3 + 925820*x/3 + 617216 = 0. What is x?
-2, 462912
Factor -3*h**3/5 + 1267107*h**2/5 - 26759209113*h - 26759462535.
-3*(h - 211185)**2*(h + 1)/5
Find h such that -45*h**3 - 48290*h**2 + 795860*h + 12742600 = 0.
-9802/9, -10, 26
Find g such that g**5/11 - 5750*g**4/11 + 1007988*g**3/11 + 5750*g**2/11 - 1007989*g/11 = 0.
-1, 0, 1, 181, 5569
Solve 2*g**4 - 2608*g**3 + 614908*g**2 + 2608*g - 614910 = 0 for g.
-1, 1, 309, 995
Factor -1849*g**4 + 1411174*g**3 - 363265837*g**2 + 35874865428*g - 1194968177316.
-(g - 86)**2*(43*g - 12711)**2
Let 3*v**5/8 - 873*v**4/8 - 492093*v**3/2 + 1478868*v**2 - 2959452*v + 1973538 = 0. Calculate v.
-681, 2, 966
What is x in -2*x**4/11 + 286*x**3 + 7533564*x**2/11 + 3055704640*x/11 + 6081300224/11 = 0?
-712, -2, 2999
Factor l**3/3 - 1873*l**2/3 + 129119*l/3 + 995953/3.
(l - 1801)*(l - 79)*(l + 7)/3
Solve -3*a**2/4 - 21633*a/2 - 345360 = 0 for a.
-14390, -32
Determine z, given that -3*z**3/5 - 1566*z**2/5 - 240084*z/5 - 8870472/5 = 0.
-234, -54
Solve -u**4/4 - 594*u**3 + 13113*u**2/2 - 18494*u + 50127/4 = 0.
-2387, 1, 3, 7
What is j in 2*j**5 + 33320*j**4 + 141155186*j**3 + 19796200596*j**2 + 645924475224*j + 6135055755696 = 0?
-8258, -102, -21
Let -4200*z**2 + 344195*z + 16810 = 0. What is z?
-41/840, 82
Determine j so that -j**2 - 86064*j + 19847620 = 0.
-86294, 230
Find c, given that 10*c**4 - 8688*c**3 + 1053790*c**2 - 3100704*c + 2055592 = 0.
1, 2, 142, 3619/5
Factor -2*s**2 - 3349594*s.
-2*s*(s + 1674797)
Solve f**4/2 - 34*f**3 + 1151*f**2/2 + 136*f - 2310 = 0.
-2, 2, 33, 35
Determine o, given that 1681*o**4 - 3452776*o**3 + 4108*o**2 = 0.
0, 2/1681, 2054
Factor -4*r**2 - 1336*r + 6752844.
-4*(r - 1143)*(r + 1477)
Let -2*m**4/11 - 852508*m**3/11 + 15345600*m**2/11 - 81843904*m/11 + 12400640 = 0. Calculate m.
-426272, 4, 10
Let -2*v**3/3 + 1550*v**2/3 + 42824*v - 275400 = 0. Calculate v.
-81, 6, 850
Let y**2/3 + 1823377*y/3 + 9116860/3 = 0. Calculate y.
-1823372, -5
Factor -5*k**2 - 3117855*k - 102883770.
-5*(k + 33)*(k + 623538)
Factor -x**3/3 + 706*x**2/3 - 120949*x/3 - 40552.
-(x - 411)*(x - 296)*(x + 1)/3
Suppose 2*r**3 + 6014*r**2 - 874868*r - 880880 = 0. Calculate r.
-3146, -1, 140
Suppose 2*j**4 + 109754932*j**3 + 1505768027535642*j**2 - 3011536384336088*j + 1505768247045512 = 0. Calculate j.
-27438734, 1
Factor 3*u**2 + 356816436*u + 10609830749978508.
3*(u + 59469406)**2
Solve 2*t**3/9 + 27568*t**2/9 + 273962*t/9 - 6969644/3 = 0 for t.
-13774, -33, 23
Factor -3*m**3 + 2835*m**2 - 74598*m - 7093080.
-3*(m - 915)*(m - 68)*(m + 38)
Let 3*l**3/5 - 354822*l**2/5 - 1277505*l - 28744956/5 = 0. What is l?
-9, 118292
Factor k**3 + 45333*k**2 - 45336*k - 90668.
(k - 2)*(k + 1)*(k + 45334)
Find j, given that -20*j**5 + 185865435*j**4 + 418197320*j**3 + 92932740*j**2 = 0.
-2, -1/4, 0, 9293274
Suppose -3*c**4 - 13269*c**3 + 1470372*c**2 - 52402644*c + 599583600 = 0. Calculate c.
-4532, 25, 42
Determine y, given that 120449*y**3/2 - 1927187*y**2/4 + 963598*y - 12 = 0.
3/240898, 4
Factor 3*k**3/5 + 77859*k**2/5 + 102489192*k + 94091338908/5.
3*(k + 189)*(k + 12882)**2/5
Factor 2*d**2/17 - 9572*d/17 + 351426/17.
2*(d - 4749)*(d - 37)/17
Find j such that -5*j**2 - 312963270*j - 4897300418454645 = 0.
-31296327
Solve a**5/8 + 2149*a**4/4 - 3768*a**3 - 19369*a**2/4 + 30143*a/8 + 4305 = 0.
-4305, -1, 1, 8
Determine m so that 3*m**5 + 35328*m**4/7 + 12474660*m**3/7 - 2079571824*m**2/7 = 0.
-902, 0, 852/7
Factor g**2/3 - 3955*g/3 - 782332.
(g - 4479)*(g + 524)/3
Factor -2*p**2/9 - 6140980*p/9 + 2046994/3.
-2*(p - 1)*(p + 3070491)/9
Determine x, given that x**3/6 + 611*x**2/6 - 37078*x/3 + 24310 = 0.
-715, 2, 102
Find i, given that -46*i**3/5 + 30644*i**2/5 + 658314*i/5 - 115416/5 = 0.
-21, 4/23, 687
Factor 3*z**2 - 27327*z + 354744.
3*(z - 9096)*(z - 13)
Factor 5*a**3 + 5125*a**2 - 373060*a - 1573920.
5*(a - 72)*(a + 4)*(a + 1093)
Solve -2*u**4/5 - 84*u**3/5 + 1602*u**2/5 + 24164*u/5 + 55968/5 = 0 for u.
-53, -8, -3, 22
Let 2*l**5/13 - 446*l**4/13 + 29494*l**3/13 - 488266*l**2/13 - 118008*l/13 + 1960200/13 = 0. Calculate l.
-2, 2, 25, 99
Solve -5*o**2/2 + 1185*o + 8510535/2 = 0.
-1089, 1563
Factor -2265*a**2 - 21553731*a + 85644.
-3*(a + 9516)*(755*a - 3)
Let 2*p**3/3 + 2732578*p**2/3 + 7286832*p = 0. Calculate p.
-1366281, -8, 0
Find c, given that -3*c**4 + 333873*c**3 + 2671125*c**2 + 5676219*c + 3338970 = 0.
-5, -2, -1, 111299
Find z, given that z**5 - 201*z**4 + 10025*z**3 + 45657*z**2 - 3982770*z 