5
Find b, given that 63*b**2/2 - 482631*b/2 - 45966 = 0.
-4/21, 7661
Factor 7*h**2 + 13831*h - 15774240.
(h + 2785)*(7*h - 5664)
Suppose -4*i**3 + 419528*i**2 - 13839476*i - 62070608 = 0. What is i?
-4, 37, 104849
Factor -5*r**4 + 590*r**3 - 1120*r**2 - 4640*r.
-5*r*(r - 116)*(r - 4)*(r + 2)
Factor 918570*u**2 - 46758*u/7 + 36/7.
6*(469*u - 3)*(2285*u - 2)/7
Determine p so that -p**3 + 17251*p**2 - 103479*p + 155205 = 0.
3, 17245
Solve 3*l**3 - 497973*l**2 + 20631604056*l + 2752819041756 = 0.
-133, 83062
Factor -d**5/2 - 565*d**4/2 + 1133*d**3/2 - 567*d**2/2.
-d**2*(d - 1)**2*(d + 567)/2
Factor -5*m**2 + 9857045*m - 9857040.
-5*(m - 1971408)*(m - 1)
Factor -i**2/5 + 6189060*i.
-i*(i - 30945300)/5
Determine g so that 2*g**3/3 - 459738*g**2 - 1379216*g/3 = 0.
-1, 0, 689608
Solve 2*l**3/13 - 2272*l**2/13 - 1340662*l/13 - 163862220/13 = 0.
-227, 1590
Factor 2*t**2 + 184372*t + 553098.
2*(t + 3)*(t + 92183)
Factor 2496*l**3/5 + 49979901*l**2/5 + 250199339352*l/5 - 300720432/5.
3*(l + 10012)**2*(832*l - 1)/5
Solve d**3/9 - 429682*d**2/9 + 8593240*d/9 = 0.
0, 20, 429662
Find c, given that 4*c**4 + 47160*c**3 + 139705344*c**2 + 4108285440*c - 119489126400 = 0.
-5880, -48, 18
Factor 957*k**2/4 - 138825*k/4 + 2175.
3*(k - 145)*(319*k - 20)/4
Find r such that -4*r**3/7 - 952640*r**2/7 - 56691595600*r/7 + 3404926104000/7 = 0.
-119110, 60
Factor h**2/4 - 1331841*h/4.
h*(h - 1331841)/4
Suppose 2*c**5/19 - 28302*c**4/19 - 7517570*c**3/19 - 502109626*c**2/19 - 981779760*c/19 - 487159400/19 = 0. What is c?
-130, -1, 14413
Suppose 330*k**4 + 44455*k**3 - 390185*k**2 + 455545*k - 110145 = 0. Calculate k.
-3147/22, 1/3, 1, 7
Factor -b**3 + 7891*b**2 - 78835*b + 197025.
-(b - 7881)*(b - 5)**2
Factor 2*a**2 - 3502126*a - 24514980.
2*(a - 1751070)*(a + 7)
Factor -i**2/3 + 6101*i/3 + 6104.
-(i - 6104)*(i + 3)/3
Factor -2*w**2 - 102186*w + 102188.
-2*(w - 1)*(w + 51094)
Solve -l**2 - 722*l - 121672 = 0.
-454, -268
Factor -a**4/3 + 1216*a**3/3 + 1217*a**2/3.
-a**2*(a - 1217)*(a + 1)/3
Factor -m**3/4 - 289077*m**2/2 - 20890944360*m + 125350869600.
-(m - 6)*(m + 289080)**2/4
Suppose 2*g**5/17 - 300*g**4/17 + 3352*g**3/17 - 5520*g**2/17 = 0. Calculate g.
0, 2, 10, 138
Factor 3*q**3 + 7356657*q**2 + 4510044552936*q + 13530067448976.
3*(q + 3)*(q + 1226108)**2
Suppose 8*m**3 - 36860*m**2 + 220912*m - 184060 = 0. What is m?
1, 5, 9203/2
Determine u so that 3*u**4/2 + 4329975*u**3/4 + 7036146*u**2 = 0.
-721656, -13/2, 0
Solve 2*s**3/5 + 82987188*s**2 + 4304295857592090*s = 0.
-103733985, 0
Factor 1046026*o**2/5 + 54731*o/5 - 17/5.
(19*o + 1)*(55054*o - 17)/5
Find d such that 6*d**4 + 14361*d**3 - 64743*d**2 + 7230*d + 86328 = 0.
-2398, -1, 3/2, 4
Suppose 5*r**4 + 320355*r**3 + 1601540*r**2 - 7047180*r + 5125280 = 0. What is r?
-64066, -8, 1, 2
Let 3*p**3 - 1620*p**2 + 218961*p - 1649544 = 0. What is p?
8, 221, 311
Factor -o**2/2 - 162441*o/2 + 3087101.
-(o - 38)*(o + 162479)/2
Factor -5*t**5 + 18265*t**4 + 12372040*t**3.
-5*t**3*(t - 4237)*(t + 584)
Find g, given that -124*g**4/3 + 736*g**3/3 + 1008*g**2 - 7744*g/3 - 512/3 = 0.
-4, -2/31, 2, 8
Factor 2*t**3 - 755804*t**2 - 6802398*t.
2*t*(t - 377911)*(t + 9)
Factor 9*b**2 - 3055398*b + 2036928.
3*(b - 339488)*(3*b - 2)
Find h, given that 2282*h**5/13 - 29383036*h**4/13 + 94613409980*h**3/13 - 189304419856*h**2/13 + 94886130506*h/13 - 165739876/13 = 0.
2/1141, 1, 6437
Factor -a**3 + 153577*a**2/8 - 369262801*a/4 + 14068184913/8.
-(a - 9589)**2*(8*a - 153)/8
Let x**3/3 - 20831*x**2/3 - 9575554*x/3 - 19067776/3 = 0. What is x?
-448, -2, 21281
Let -4*p**4 - 207032*p**3 - 2796080164*p**2 - 3032749658400*p - 858337646760000 = 0. What is p?
-25300, -579
Factor -1306*s**2 + 93726400*s/3 - 31896.
-2*(s - 23922)*(1959*s - 2)/3
Suppose -5*l**3 + 193499205*l**2 - 193499200*l = 0. Calculate l.
0, 1, 38699840
Let 5*h**4/3 - 114420*h**3 + 6119834510*h**2/3 - 2614075133460*h + 2609770088469845/3 = 0. Calculate h.
679, 33647
Find q, given that 15*q**3/7 - 89868*q**2/7 + 27319023*q/7 - 780030 = 0.
1/5, 321, 5670
Solve m**4 - 2483*m**3 + 454515*m**2 + 2483*m - 454516 = 0 for m.
-1, 1, 199, 2284
Factor -q**3/4 + 102779*q**2 - 2466669*q/4 + 1849995/2.
-(q - 411110)*(q - 3)**2/4
Suppose -2*k**4 - 106314*k**3 - 1402411444*k**2 + 277486312896*k - 549362129472 = 0. Calculate k.
-26676, 2, 193
Find z such that -3*z**4 + 430929*z**3 - 17232360*z**2 = 0.
0, 40, 143603
Solve 4*j**4 + 30936*j**3 + 26571924*j**2 + 26479136*j - 53082000 = 0 for j.
-6750, -983, -2, 1
Let -2*w**3/9 + 225920*w**2/3 + 18978848*w/9 = 0. Calculate w.
-28, 0, 338908
Factor -o**3 + 29956*o**2 - 224010605*o - 4942742662.
-(o - 14989)**2*(o + 22)
What is z in z**3/7 + 172*z**2/7 + 1937*z/7 - 43450/7 = 0?
-158, -25, 11
Find u such that -u**3/5 + 3115*u**2 - 16069535*u + 27426189825 = 0.
4365, 5605
Find w, given that 2*w**4/9 - 499584*w**3 + 2527116187388*w**2/9 - 9546450239616*w + 730292398444802/9 = 0.
17, 1124047
Solve 2000*r**5 - 604200*r**4 + 48913405*r**3 - 464176535*r**2 - 3191175225*r - 4290887125 = 0 for r.
-49/20, 17, 145
Find h such that 4*h**5 + 4724*h**4 + 9437*h**3 + 5896*h**2 + 1179*h = 0.
-1179, -1, -1/2, 0
Factor -2*c**2/7 - 28479006*c/7 - 28479004/7.
-2*(c + 1)*(c + 14239502)/7
What is g in g**5/2 + 315*g**4/2 - 30647*g**3/2 - 366267*g**2/2 - 439789*g - 272136 = 0?
-391, -8, -2, -1, 87
Find m, given that -m**5/3 + 506*m**4 - 28568*m**3/3 + 43510*m**2 - 58461*m = 0.
0, 3, 13, 1499
Let 44*h**3 - 8009*h**2/7 + 26*h/7 = 0. What is h?
0, 1/308, 26
Suppose q**3/4 + 1101*q**2/4 + 75884*q + 75609 = 0. What is q?
-558, -542, -1
Find z such that -z**3/6 - 89923*z**2/3 - 59948*z = 0.
-179844, -2, 0
Let q**5/9 - 25*q**4 + 5485*q**3/3 - 384335*q**2/9 - 133672*q/3 = 0. What is q?
-1, 0, 56, 77, 93
Factor 2*u**2 + 16088*u - 43908282.
2*(u - 2153)*(u + 10197)
Determine s so that -3*s**3 + 4974*s**2 - 39540*s - 99000 = 0.
-2, 10, 1650
Let -18*c**4 + 430*c**3 - 1172*c**2 - 4560*c = 0. Calculate c.
-19/9, 0, 6, 20
Suppose -3*p**2/8 + 4650063*p/4 + 120902145/8 = 0. What is p?
-13, 3100055
Factor c**2/6 - 2083417*c/6 + 347236.
(c - 2083416)*(c - 1)/6
Let 20*y**3/7 + 54176*y**2/7 + 367700*y/7 + 88008 = 0. What is y?
-2702, -19/5, -3
Find z such that 2*z**3/3 - 1858*z**2/3 - 399164*z = 0.
-438, 0, 1367
Factor 20*g**2 - 180788575*g + 135591420.
5*(g - 9039428)*(4*g - 3)
Find x, given that 5*x**3 - 93525*x**2 - 432124560*x - 450157020480 = 0.
-1992, 22689
Solve -z**5 - 41653*z**4 - 433763924*z**3 - 433555664*z**2 + 1735055712*z + 1734889104 = 0 for z.
-20826, -2, -1, 2
Factor o**2/4 + 409055*o/4 - 7773489.
(o - 76)*(o + 409131)/4
Let 2*r**4/7 + 8416*r**3 + 10888440*r**2/7 = 0. Calculate r.
-29270, -186, 0
Factor -108*y**2 - 15447*y - 429.
-3*(y + 143)*(36*y + 1)
Factor -27*o**3 - 43689*o**2 + 116552*o/3 - 25904/3.
-(o + 1619)*(9*o - 4)**2/3
Find o such that 3*o**2 - 35028*o + 35383209 = 0.
1117, 10559
Find y, given that y**2/2 + 4699*y/2 + 146034 = 0.
-4636, -63
Suppose -2*f**4/15 + 332*f**3/15 + 18656*f**2/3 + 61852*f/5 + 6174 = 0. Calculate f.
-147, -1, 315
Suppose 5*f**3 + 831825*f**2 - 831840*f - 1663660 = 0. What is f?
-166366, -1, 2
Factor k**2/3 + 5270*k - 1594593.
(k - 297)*(k + 16107)/3
Determine v so that -5*v**3 - 213430*v**2 + 853780*v - 853800 = 0.
-42690, 2
Factor d**2/2 - 203287610*d + 20662926189756050.
(d - 203287610)**2/2
Factor 625*g**4/4 - 8561625*g**3/2 + 5136825*g**2 - 2054710*g + 273960.
5*(g - 27396)*(5*g - 2)**3/4
Find j, given that j**4 - 4586*j**3 + 4817832*j**2 - 38322784*j + 76499072 = 0.
4, 1612, 2966
Find h, given that 2*h**2 + 755159412*h + 71283217191523218 = 0.
-188789853
Suppose w**5 - 2349*w**4 + 995475*w**3 + 450787825*w**2 + 37083750000*w + 36633960000 = 0. Calculate w.
-145, -1, 1320
Find z such that -2*z**3/7 - 14537498*z**2/7 - 26417348743750*z/7 + 26417363281250/7 = 0.
-3634375, 1
Factor 8*c**4 + 57656336*c**3 + 57656330*c**2 + 14414082*c.
2*c*(c + 7207041)*(2*c + 1)**2
Determine h, given that -2*h**3/3 - 108730*h**2/3 + 36244*h = 0.
-54366, 0, 1
Solve 2*r**4/7 - 28564*r**3 + 599814*r**2/7 + 1199668*r/7 - 1599536/7 = 0.
-2, 1, 4, 99971
Find u, given that 242*u**2/9 - 380932*u/9 + 12592/3 = 0.
12/121, 1574
Determine p, given that 3*p**2 - 37013895*p + 37013892 = 0.
1, 12337964
Factor 8*q**2/13 - 96197098*q/13 + 24049274/13.
2*(q - 12024637)*(4*q -