Calculate r.
-147, -1, 10/19
Factor 3*g**2/7 - 6144*g/7 + 3504.
3*(g - 2044)*(g - 4)/7
Factor 378*l**3 - 375*l**2 - 21*l + 18.
3*(l - 1)*(9*l + 2)*(14*l - 3)
Factor u**3 - 993*u**2 + 245016*u + 744012.
(u - 498)**2*(u + 3)
Find p, given that 2*p**5/3 + 4054*p**4/3 + 4046*p**3/3 - 12158*p**2/3 - 4048*p/3 + 8104/3 = 0.
-2026, -2, -1, 1
Find j such that -2*j**2 + 4276*j - 12810 = 0.
3, 2135
Factor 2*a**2/9 - 1106*a + 9952/9.
2*(a - 4976)*(a - 1)/9
Factor -o**4 - 72*o**3 + 3*o**2 + 218*o + 144.
-(o - 2)*(o + 1)**2*(o + 72)
Factor -w**2/5 + 48*w/5.
-w*(w - 48)/5
Factor 2*v**2/13 - 84048*v/13 + 883008288/13.
2*(v - 21012)**2/13
Suppose -3*c**2 + 216*c + 4860 = 0. Calculate c.
-18, 90
Factor 3*q**2/2 - 1639*q - 3284.
(q + 2)*(3*q - 3284)/2
Factor 18*t**3/7 - 35718*t**2/7 + 6800*t - 15864/7.
2*(t - 1983)*(3*t - 2)**2/7
Suppose b**2/2 + 10482*b - 104845/2 = 0. What is b?
-20969, 5
Solve t**4/5 + 10837*t**3/5 + 29387202*t**2/5 + 146513632*t/5 - 410662784/5 = 0.
-5416, -7, 2
What is m in -4*m**5 + 124*m**4 - 220*m**3 - 15788*m**2 + 42560*m + 144400 = 0?
-10, -2, 5, 19
Factor 5*g**3 + 1940*g**2 + 7695*g + 5760.
5*(g + 1)*(g + 3)*(g + 384)
Determine z so that -z**3/7 - 1012*z**2/7 - 1011*z/7 = 0.
-1011, -1, 0
Find v, given that 21*v**3 - 1362*v**2 - 7668*v + 7560 = 0.
-6, 6/7, 70
Factor 2*s**2/11 + 783252*s/11 + 76685461938/11.
2*(s + 195813)**2/11
Suppose 35*j**3 + 43300*j**2 + 6185*j = 0. What is j?
-1237, -1/7, 0
Factor -p**4/2 + 369*p**3/2 - 3159*p**2.
-p**2*(p - 351)*(p - 18)/2
Solve -3*d**3 - 15216*d**2 - 18954780*d + 863724048 = 0 for d.
-2558, 44
Find g, given that 5581500*g**3 - 524600*g**2 - 27120*g - 288 = 0.
-6/305, 2/15
Solve -3*l**4/7 - 24*l**3 - 309*l**2/7 + 828*l/7 + 972/7 = 0 for l.
-54, -3, -1, 2
Suppose d**3 + 1955*d**2/7 + 83186*d/7 + 23608/7 = 0. Calculate d.
-227, -52, -2/7
Factor -m**2/11 - 132819*m/11 + 398466/11.
-(m - 3)*(m + 132822)/11
Determine j so that -2*j**4 + 2208*j**3 - 611612*j**2 + 1216608*j - 607202 = 0.
1, 551
Factor -p**2 - 307*p - 2392.
-(p + 8)*(p + 299)
Solve 9*a**3 + 253479*a**2 - 675996*a + 338004 = 0 for a.
-28167, 2/3, 2
Suppose 22*m**3/9 + 2768*m**2/3 - 12874*m/9 + 1516/3 = 0. Calculate m.
-379, 6/11, 1
Factor 3*i**4 + 586188*i**3 + 28634111418*i**2 - 57269981412*i + 28635283803.
3*(i - 1)**2*(i + 97699)**2
Solve 3*l**2/2 + 77733*l/2 - 38868 = 0.
-25912, 1
Determine o so that -3*o**3/2 - 4986*o**2 + 19953*o/2 - 4989 = 0.
-3326, 1
Solve x**5/9 - 38*x**4/9 - 88*x**3/9 + 320*x**2/9 = 0 for x.
-4, 0, 2, 40
Find i such that 441*i**4 - 9708*i**3 - 43968*i**2 - 45264*i + 624 = 0.
-2, 2/147, 26
Suppose 2*g**4/13 + 1374*g**3/13 + 240740*g**2/13 + 1632000*g/13 + 2312000/13 = 0. What is g?
-340, -5, -2
What is f in -225*f**4 + 2930*f**3 - 8165*f**2 + 180*f = 0?
0, 1/45, 4, 9
Find a, given that -5*a**2 - 1625*a - 15750 = 0.
-315, -10
Factor -24*o**3 + 2397*o**2 - 6684*o - 873.
-3*(o - 97)*(o - 3)*(8*o + 1)
Suppose -i**3 + 69986*i**2 - 1224510049*i = 0. Calculate i.
0, 34993
Factor w**2 + 7380*w + 7379.
(w + 1)*(w + 7379)
Solve v**4 + 27*v**3 - 135*v**2 - 4347*v + 23814 = 0 for v.
-21, 6, 9
Factor 4*n**2 - 824*n - 31548.
4*(n - 239)*(n + 33)
Factor 2*w**3 + 115052*w**2 - 115054*w.
2*w*(w - 1)*(w + 57527)
Find n such that 2*n**4 + 21240*n**3 + 56392200*n**2 = 0.
-5310, 0
Solve 3*f**5 + 111*f**4 + 942*f**3 - 1650*f**2 - 5697*f - 3213 = 0 for f.
-21, -17, -1, 3
Factor 2*m**5/3 - 322*m**4/3 - 2262*m**3 + 666198*m**2.
2*m**2*(m - 117)**2*(m + 73)/3
Suppose -n**2 - 422844*n - 44699262084 = 0. Calculate n.
-211422
Let 4*m**3/3 + 16*m**2/3 - 2596*m/3 + 2576/3 = 0. Calculate m.
-28, 1, 23
Find d such that d**2/3 - 718*d - 4312/3 = 0.
-2, 2156
Solve 117*n**4 - 40359*n**3 + 3499506*n**2 - 3281760*n - 177504 = 0.
-2/39, 1, 172
Factor -w**3/5 + 77*w**2/5 - 1231*w/5 + 231.
-(w - 55)*(w - 21)*(w - 1)/5
Determine t so that 5*t**4 + 4930*t**3 + 1244285*t**2 + 14230140*t = 0.
-487, -12, 0
Solve 10*h**3/3 + 23492*h**2/3 + 28178*h/3 + 4696/3 = 0.
-2348, -1, -1/5
Let 4*n**2 - 342320*n + 7323936400 = 0. Calculate n.
42790
Factor -2*r**2 + 1935024*r - 468039735072.
-2*(r - 483756)**2
Find o such that -o**4/5 + 17*o**3/5 + 94*o**2/5 - 1652*o/5 - 3528/5 = 0.
-9, -2, 14
Suppose w**5 - 8*w**4 - 363*w**3 - 1630*w**2 + 2000*w = 0. Calculate w.
-10, -8, 0, 1, 25
Determine d, given that -2*d**3/7 + 19162*d**2/7 + 19164*d/7 = 0.
-1, 0, 9582
Solve -2*f**3 + 3684*f**2 - 1703826*f + 6756488 = 0.
4, 919
Solve 4*y**5 + 404*y**4 + 8792*y**3 - 54560*y**2 = 0.
-62, -44, 0, 5
Solve 5*a**5/6 - 3*a**4 - 149*a**3/3 + 84*a**2 - 67*a/6 - 21 = 0.
-7, -2/5, 1, 9
Factor -4*r**3 - 36968*r**2 - 664452*r - 2988576.
-4*(r + 9)**2*(r + 9224)
Let -2*y**4 - 464*y**3 + 1422*y**2 + 2804*y - 3760 = 0. Calculate y.
-235, -2, 1, 4
Factor -5*a**2 + 21675*a - 259380.
-5*(a - 4323)*(a - 12)
Factor -2*d**3/9 - 2*d**2 + 3146*d/9 + 3182/3.
-2*(d - 37)*(d + 3)*(d + 43)/9
Solve -5*w**3 - 26280*w**2 - 105040*w = 0.
-5252, -4, 0
Let 50*d**3 + 498*d**2 + 1180*d - 48 = 0. What is d?
-6, -4, 1/25
Factor 2*y**3 + 168*y**2 + 168*y - 13120.
2*(y - 8)*(y + 10)*(y + 82)
Factor -l**4 + 46*l**3 - 284*l**2 + 434*l - 195.
-(l - 39)*(l - 5)*(l - 1)**2
Suppose 2*n**2/9 - 54196*n/9 + 367150802/9 = 0. What is n?
13549
Find s, given that 2*s**5/9 - 70*s**4/9 + 766*s**3/9 - 2762*s**2/9 - 120*s + 1800 = 0.
-2, 5, 9, 18
Solve 4*u**3 + 836*u**2 = 0 for u.
-209, 0
Let -35*r**4 - 1403000*r**3 - 14059863855*r**2 + 4017218490*r = 0. What is r?
-20043, 0, 2/7
Factor -3*x**2 - 23949*x.
-3*x*(x + 7983)
Determine d, given that 5*d**4 - 3590*d**3 - 58300*d**2 - 307560*d - 528480 = 0.
-6, -4, 734
Determine k so that -k**4 - 50968*k**3 - 649485222*k**2 - 1298817544*k - 649383289 = 0.
-25483, -1
Suppose 55*l**2 + 2380*l - 10400 = 0. What is l?
-520/11, 4
Find y, given that -y**4/7 - 10177*y**3/7 + 20357*y**2/7 - 10179*y/7 = 0.
-10179, 0, 1
Factor 5*w**2 - 1475*w + 12870.
5*(w - 286)*(w - 9)
Factor p**2/4 - 1593*p/4 - 7209/2.
(p - 1602)*(p + 9)/4
Determine p so that -16*p**3 + 19484*p**2 + 19500*p = 0.
-1, 0, 4875/4
Let -57*s**4 - 309*s**3 + 597*s**2 - 231*s = 0. What is s?
-7, 0, 11/19, 1
Determine c, given that -3*c**5 - 132*c**4 - 1806*c**3 - 9588*c**2 - 19791*c - 11880 = 0.
-24, -11, -5, -3, -1
Let -c**4/3 - 7141*c**3 + 85708*c**2/3 = 0. What is c?
-21427, 0, 4
What is p in p**5/6 - 107*p**4/3 - 20089*p**3/3 - 59620*p**2/3 - 118807*p/6 - 19765/3 = 0?
-118, -1, 335
Determine p, given that 3*p**5 - 2661*p**4 + 7956*p**3 = 0.
0, 3, 884
Find c such that -2*c**3 + 7292*c**2 - 21858*c = 0.
0, 3, 3643
Determine u so that -3*u**2/7 - 4441002*u/7 - 1643541563667/7 = 0.
-740167
Factor -p**2/2 - 187622*p + 375245/2.
-(p - 1)*(p + 375245)/2
Factor -65*m**2 - 438370*m + 809520.
-5*(m + 6746)*(13*m - 24)
Determine t so that -t**5/2 - 19*t**4/2 + 310*t**3 + 6088*t**2 - 1232*t - 24200 = 0.
-22, -2, 2, 25
Solve -3*u**3 + 2937*u**2 - 14538*u - 70128 = 0 for u.
-3, 8, 974
Let 2*t**3/9 - 622*t**2/9 + 4634*t/3 - 4018 = 0. What is t?
3, 21, 287
Factor 8*c**4 + 410*c**3 - 1658*c**2 - 440*c.
2*c*(c - 4)*(c + 55)*(4*c + 1)
Factor -k**2/5 - 134262*k/5 - 4506571161/5.
-(k + 67131)**2/5
Find g such that 13*g**2/3 + 296*g/3 - 23 = 0.
-23, 3/13
Factor o**3/5 - 176*o**2/5 + 4467*o/5 - 29988/5.
(o - 147)*(o - 17)*(o - 12)/5
Find k, given that -118*k**4/9 - 1766*k**3/9 - 3008*k**2/9 + 104*k/9 = 0.
-13, -2, 0, 2/59
Suppose 3*l**3 - 222*l**2 + 963*l + 4968 = 0. Calculate l.
-3, 8, 69
Let 5*s**2 - 142500*s + 1015312500 = 0. What is s?
14250
Factor m**3/6 - 116028*m**2 + 20193745176*m.
m*(m - 348084)**2/6
Factor 3*m**2 + 32874*m + 90058323.
3*(m + 5479)**2
Determine v so that -4*v**2/9 - 464*v/9 - 3952/3 = 0.
-78, -38
Determine j, given that -j**3 + 96793*j**2 + 580785*j + 871191 = 0.
-3, 96799
Solve -x**2/8 - 5893*x = 0.
-47144, 0
Factor 3*q**2/5 - 22962*q/5 + 18360.
3*(q - 7650)*(q - 4)/5
Determine a so that 2*a**3/5 - 44*a**2/5 - 1006*a/5 + 672 = 0.
-16, 3, 35
Solve -4*r**2/7 + 1146*r/7 - 37350/7 = 0.
75/2, 249
Let 4*p**4 - 280*p**3 - 38956*p**2 - 152336*p - 151152 = 0. Calculate p.
-67, -2, 141
Solve 105*y**5 - 2510*y**4 + 14880*y**3 - 25440*y**2 - 2560*y = 0.
-2/21, 0, 4, 16
Let -2*m**4 - 1030*m**3 - 1974*m**2 + 39870*m - 73872 = 0. What is m?
-513, -8, 3
What is w in 4*w**5 + 8728*w**4 + 4864468*w**3 + 112492544*w**2 + 391875536*w + 372557120 = 0?