 1, 3
Find t, given that -2*t**4 + 134408*t**3 - 2258457608*t**2 + 9032217600*t - 9031680000 = 0.
2, 33600
Factor -4*c**2/3 + 20032*c/3 + 20036/3.
-4*(c - 5009)*(c + 1)/3
Find d, given that 3*d**2 - 264*d - 1796067 = 0.
-731, 819
Factor -c**5 + 2505*c**4 + 6*c**3 - 15038*c**2 + 20043*c - 7515.
-(c - 2505)*(c - 1)**3*(c + 3)
Solve 4*p**2/5 + 212*p - 1080 = 0.
-270, 5
Factor -u**3 - 103*u**2 + 8268*u.
-u*(u - 53)*(u + 156)
Find j such that 3*j**5 - 126*j**4 - 7305*j**3 + 14976*j**2 - 7548*j = 0.
-34, 0, 1, 74
Suppose 10*f**4/9 - 904*f**3/3 - 51668*f**2/9 + 21784*f/3 - 10982/9 = 0. Calculate f.
-19, 1/5, 1, 289
Let -3*a**5 + 378*a**4 - 5472*a**3 + 21120*a**2 = 0. Calculate a.
0, 8, 110
Solve c**4 + 1818*c**3 + 1817*c**2 = 0 for c.
-1817, -1, 0
Factor -u**3 + 14*u**2 + 1343*u + 13872.
-(u - 48)*(u + 17)**2
Solve v**3/3 - 62996*v**2/3 - 251996*v/3 - 84000 = 0 for v.
-2, 63000
Determine i so that -21*i**3/5 - 6156*i**2 - 21969*i/5 + 1758 = 0.
-1465, -1, 2/7
Find d such that -2*d**3/9 - 55030*d**2/9 - 378565126*d/9 - 378510098/9 = 0.
-13757, -1
Factor -o**3/2 + 5087*o**2 - 20342*o + 20340.
-(o - 10170)*(o - 2)**2/2
Factor 3*c**2/5 - 177006*c + 13054635015.
3*(c - 147505)**2/5
Factor -5*t**5 + 1310*t**4 - 85805*t**3.
-5*t**3*(t - 131)**2
Factor -s**4 + 6615*s**3 + 19854*s**2.
-s**2*(s - 6618)*(s + 3)
Find d, given that 41*d**2 + 149*d - 60 = 0.
-4, 15/41
Suppose -r**4 - 114027*r**3 + 228057*r**2 - 114029*r = 0. Calculate r.
-114029, 0, 1
What is a in 3*a**4/7 + 594*a**3/7 - 108*a**2/7 - 21384*a/7 = 0?
-198, -6, 0, 6
Suppose 2*v**5/13 + 106*v**4/13 + 978*v**3/13 - 3226*v**2/13 - 29060*v/13 + 2400 = 0. Calculate v.
-40, -13, -6, 1, 5
Factor -h**3/12 - 187*h**2/2 + 9893*h/4 - 48503/3.
-(h - 13)**2*(h + 1148)/12
Determine o so that -453*o**2/4 - 862065*o/4 - 5709/2 = 0.
-1903, -2/151
Suppose -52*d**3 + 138536*d**2 - 159788*d + 21304 = 0. What is d?
2/13, 1, 2663
Solve -4624*o**5 - 888080*o**4 - 52228*o**3 - 768*o**2 = 0.
-192, -1/34, 0
Factor -3*h**2/5 - 83136*h/5 - 83133/5.
-3*(h + 1)*(h + 27711)/5
Suppose -t**3 - 1563*t**2 - 13976*t + 15540 = 0. What is t?
-1554, -10, 1
Let r**2/7 + 36080*r/7 + 325441600/7 = 0. Calculate r.
-18040
Factor 25*j**3 - 1870*j**2 + 24360*j.
5*j*(j - 58)*(5*j - 84)
Factor -5*u**2 - 6840*u - 515200.
-5*(u + 80)*(u + 1288)
Factor 4*m**3/5 + 576*m**2/5 + 16848*m/5 + 139968/5.
4*(m + 18)**2*(m + 108)/5
Determine z, given that 2*z**3/7 + 1074*z**2/7 + 134622*z/7 - 2608786/7 = 0.
-277, 17
Factor t**2/4 + 337*t/4 - 3759/2.
(t - 21)*(t + 358)/4
Factor 2*c**5/3 + 280*c**4 + 101324*c**3/3 + 918680*c**2 + 21529922*c/3.
2*c*(c + 17)**2*(c + 193)**2/3
Factor -x**2 + 642*x + 1935.
-(x - 645)*(x + 3)
Factor -r**3 - 887*r**2 + 3551*r/4 - 222.
-(r + 888)*(2*r - 1)**2/4
Factor 10097*c**2/3 + 50486*c/3 + 5/3.
(c + 5)*(10097*c + 1)/3
Factor -2*i**2/13 + 2148*i/13 + 12960/13.
-2*(i - 1080)*(i + 6)/13
Factor 4*w**3/9 + 29360*w**2/9 + 88004*w/9 - 293480/9.
4*(w - 2)*(w + 5)*(w + 7337)/9
Let 5*k**5/3 + 5275*k**4/3 + 10490*k**3/3 - 14070*k**2 - 31605*k - 15795 = 0. What is k?
-1053, -3, -1, 3
What is t in -4*t**5 - 4484*t**4 + 12*t**3 + 13444*t**2 - 8968*t = 0?
-1121, -2, 0, 1
Find h, given that -4*h**5/5 - 8516*h**4/5 - 3400*h**3 + 6808*h**2 + 17004*h/5 - 25524/5 = 0.
-2127, -3, -1, 1
Solve -2*z**2/11 + 1020*z - 56050/11 = 0.
5, 5605
Suppose 286*w**4/7 + 6794*w**3/7 - 284*w**2 - 7344*w/7 + 1152/7 = 0. What is w?
-24, -1, 2/13, 12/11
Suppose -5*y**4 - 4175*y**3 - 8295*y**2 + 29135*y - 16660 = 0. Calculate y.
-833, -4, 1
Suppose -3*v**2 + 40443*v + 323736 = 0. Calculate v.
-8, 13489
Factor 2*k**3 - 1970*k**2 - 105776*k + 107744.
2*(k - 1036)*(k - 1)*(k + 52)
Determine j, given that 3*j**5 + 315*j**4 - 27399*j**3 + 155565*j**2 - 228852*j = 0.
-163, 0, 3, 52
Factor 2*s**3 + 7780*s**2 + 124024*s + 216944.
2*(s + 2)*(s + 14)*(s + 3874)
Solve -3*b**5/4 + 155*b**4/8 - 319*b**3/2 + 3527*b**2/8 - 246*b - 54 = 0 for b.
-1/6, 1, 4, 9, 12
Find g, given that -5*g**5 + 120*g**4 + 1860*g**3 + 2530*g**2 - 8655*g - 9450 = 0.
-9, -3, -1, 2, 35
Factor 2*n**3/3 + 178*n**2 - 7196*n/3 + 7840.
2*(n - 7)*(n - 6)*(n + 280)/3
Let h**3 - 6*h**2 - 2647*h - 2640 = 0. Calculate h.
-48, -1, 55
What is z in -324*z**3 + 2232828*z**2 - 992320*z + 110256 = 0?
2/9, 6891
Factor -o**2 - 678*o - 2696.
-(o + 4)*(o + 674)
Factor 20*v**3 + 181124*v**2 + 409910732*v - 738426276.
4*(v + 4529)**2*(5*v - 9)
Solve -6*f**3/11 - 216*f**2/11 - 1830*f/11 + 2052/11 = 0 for f.
-19, -18, 1
Let -d**2 - 66302*d - 1098988801 = 0. Calculate d.
-33151
Factor y**2/2 + 523781*y + 274346535961/2.
(y + 523781)**2/2
Factor 4*p**3 + 5012*p**2 + 1400224*p - 109106928.
4*(p - 63)*(p + 658)**2
Factor 4*j**3/5 + 47120*j**2 + 693842000*j.
4*j*(j + 29450)**2/5
Find m, given that -m**2/9 + 55*m/3 + 3700/9 = 0.
-20, 185
Determine w, given that -3*w**4 + 123*w**3 - 468*w**2 - 2592*w = 0.
-3, 0, 8, 36
Find j, given that -2*j**5/11 - 754*j**4 - 8569734*j**3/11 + 60262102*j**2/11 - 137946032*j/11 + 103534296/11 = 0.
-2077, 2, 3
What is o in -21*o**5/5 + 80697*o**4/5 - 103438062*o**3/5 + 8864057856*o**2 - 23889838080*o - 7549747200 = 0?
-2/7, 3, 1280
Determine f so that -2*f**4/7 - 52882*f**3/7 - 349483908*f**2/7 + 149831704*f - 699285136/7 = 0.
-13222, 1, 2
Determine t so that -3*t**2 - 3411*t - 76866 = 0.
-1114, -23
Determine b, given that -3*b**2 - 1088052*b - 1088049 = 0.
-362683, -1
Solve 2*q**5/5 - 1478*q**4/5 + 216934*q**3/5 + 21665294*q**2/5 + 20127432*q/5 - 128627928/5 = 0.
-66, -3, 2, 403
Solve 3*u**3 - 3933*u**2 + 7857*u - 3927 = 0.
1, 1309
Let -2*k**5/5 + 516*k**4/5 + 4748*k**3/5 + 15408*k**2/5 + 4158*k + 9612/5 = 0. What is k?
-3, -2, -1, 267
Determine g so that g**3/2 - 379*g**2 + 175825*g/2 - 5703750 = 0.
108, 325
Determine b, given that -3*b**5 - 657*b**4 - 11559*b**3 - 30879*b**2 + 183498*b - 140400 = 0.
-200, -13, -9, 1, 2
Factor -s**2/6 + 95303*s/6 + 95305/3.
-(s - 95305)*(s + 2)/6
Let 20*j**4 + 1185*j**3 + 20275*j**2 + 77895*j + 18225 = 0. What is j?
-27, -5, -1/4
Solve -n**3 + 71*n**2 - 206*n + 136 = 0.
1, 2, 68
Determine n so that -16*n**5/3 + 7384*n**4/3 + 1253*n**3 - 29074*n**2/3 - 14780*n/3 - 616 = 0.
-2, -1/4, 2, 462
Determine y so that -y**2/5 - 2308*y/5 + 924 = 0.
-2310, 2
Factor m**3/4 - 93*m**2/2 - 7849*m/4 + 12597/2.
(m - 221)*(m - 3)*(m + 38)/4
Factor -t**3/6 - 19*t**2/3 - 151*t/6 + 77.
-(t - 2)*(t + 7)*(t + 33)/6
Solve -t**3/3 + 5653*t**2/3 + 9432*t - 11316 = 0.
-6, 1, 5658
Suppose -4*o**4/3 - 298*o**3/3 - 322*o**2 + 1978*o/3 - 710/3 = 0. What is o?
-71, -5, 1/2, 1
Factor 4*d**2 + 44748*d + 89480.
4*(d + 2)*(d + 11185)
Determine w so that -18*w**5 - 39460*w**4 + 188818*w**3 - 272388*w**2 + 87896*w + 35152 = 0.
-2197, -2/9, 1, 2
Factor -9*q**2/10 - 14069*q/10 - 1563/5.
-(q + 1563)*(9*q + 2)/10
Find o such that 4*o**5/3 + 200*o**4/3 + 1000*o**3/3 - 9040*o**2/3 - 11084*o/3 + 18920/3 = 0.
-43, -11, -2, 1, 5
Factor -2*v**2/15 + 102*v/5 - 5764/15.
-2*(v - 131)*(v - 22)/15
Let -v**5/5 - 359*v**4/5 - 2711*v**3/5 + 33911*v**2/5 - 47976*v/5 - 16848 = 0. What is v?
-351, -15, -1, 4
Factor -s**3/4 - 9363*s**2/4 + 9365*s/2.
-s*(s - 2)*(s + 9365)/4
Factor -h**2 - 403*h + 30954.
-(h - 66)*(h + 469)
Suppose -i**4 - 20582*i**3 - 41157*i**2 + 61740*i = 0. Calculate i.
-20580, -3, 0, 1
Determine o, given that -5*o**2 + 95040*o - 285075 = 0.
3, 19005
Factor 2*r**4 + 318408*r**3 + 16897275744*r**2 + 298901543060864*r.
2*r*(r + 53068)**3
What is a in 5*a**3/2 - 315*a**2 = 0?
0, 126
Factor 6*f**3 + 14366*f**2 + 19146*f + 4786.
2*(f + 1)*(f + 2393)*(3*f + 1)
Suppose -d**2 + 33866*d + 508215 = 0. Calculate d.
-15, 33881
Let -v**3/5 + 83*v**2/5 - 1074*v/5 + 3672/5 = 0. What is v?
6, 9, 68
Factor 4*u**2 - 3172*u - 38640.
4*(u - 805)*(u + 12)
Let 3*l**4 + 81297*l**3 + 734355801*l**2 + 2211145316811*l = 0. What is l?
-9033, 0
Factor -4*s**3 - 192*s**2 + 8460*s + 406456.
-4*(s - 46)*(s + 47)**2
Factor -5*t**3 - 27418*t**2 + 423393*t - 164970.
-(t - 15)*(t + 5499)*(5*t - 2)
Factor 2*s**2/5 + 768*s/5 + 766/5.
2*(s + 1)*(s + 383)/5
Suppose 2*d**3/11 - 232*d**2/11 - 8354*d/11 - 8120/11 = 0. Calculate d.
-28, -1, 145
Solve -441*b**4/2 - 84*b**3 + 5123*b**2/8 + 5713*b/8 + 841/4 = 0 for b.
-1, -29/42, 2
Solve -2*n**3/3 + 712*n**2/3 - 626*n/3 - 9940 = 0 for n.
-6, 7, 355
Factor -4*u**2 + 3160*u + 45024.
-4*(u - 804)*(u + 14)
So