, 32
Factor 4*q**3 + 212*q**2 + 2812*q + 2604.
4*(q + 1)*(q + 21)*(q + 31)
Factor -2*r**2/3 + 16664*r/3 - 33320/3.
-2*(r - 8330)*(r - 2)/3
Determine w, given that 3*w**3/2 - 51*w**2/2 - 174*w + 3168 = 0.
-11, 12, 16
Suppose 2*p**2/7 - 13250*p - 185508/7 = 0. What is p?
-2, 46377
Determine c, given that -4*c**2/5 + 1109704*c - 384825927380 = 0.
693565
Suppose 5*c**3 - 155810*c**2 + 1213837805*c = 0. What is c?
0, 15581
Suppose u**4 + 89*u**3 + 554*u**2 - 1736*u - 7872 = 0. Calculate u.
-82, -8, -3, 4
Factor 5*s**3 + 16*s**2 - 76*s + 48.
(s - 2)*(s + 6)*(5*s - 4)
Factor 41*u**2 + 329*u + 8.
(u + 8)*(41*u + 1)
Suppose 5*p**2 - 584740*p + 17096043380 = 0. Calculate p.
58474
Find o, given that -2*o**2/3 - 1948*o/3 + 3920 = 0.
-980, 6
Factor w**5 - 3138*w**4 - 31455*w**3 - 78700*w**2.
w**2*(w - 3148)*(w + 5)**2
Find u such that 3*u**2 + 17112*u - 68496 = 0.
-5708, 4
Factor 2*k**3/3 + 34208*k**2/3 + 146307610*k/3 + 292478404/3.
2*(k + 2)*(k + 8551)**2/3
Find j, given that 8*j**2 - 67988*j + 33992 = 0.
1/2, 8498
Find r, given that -39*r**2/4 + 2718*r + 2511/4 = 0.
-3/13, 279
Factor 5*n**3 + 22510*n**2 + 25469525*n + 302401500.
5*(n + 12)*(n + 2245)**2
What is b in -5*b**3 - 59900*b**2 - 179400500*b = 0?
-5990, 0
What is b in -25*b**4 + 930*b**3 - 4985*b**2 - 12540*b + 2700 = 0?
-2, 1/5, 9, 30
Solve -2*s**3/11 + 8186*s**2/11 - 65392*s/11 + 130720/11 = 0.
4, 4085
Factor -2*t**3/11 - 100458*t**2/11 - 1261526448*t/11 - 1261425992/11.
-2*(t + 1)*(t + 25114)**2/11
Solve -q**5 - 206*q**4 - 2422*q**3 + 879256*q**2 - 11658913*q + 39871006 = 0 for q.
-133, 7, 46
Suppose 2*a**2 + 2863072*a + 1024647659648 = 0. What is a?
-715768
Determine m, given that -3*m**2/7 + 8037*m/7 - 1080762/7 = 0.
142, 2537
Factor -2*m**2 + 348*m + 2534.
-2*(m - 181)*(m + 7)
What is w in 2*w**3 + 5904*w**2 - 35478*w + 53244 = 0?
-2958, 3
Factor 18*k**3 + 1190*k**2/9 + 392*k/9.
2*k*(k + 7)*(81*k + 28)/9
Factor -5*f**2 + 30985*f - 30980.
-5*(f - 6196)*(f - 1)
Suppose -d**5/5 + 71*d**4/5 - 1271*d**3/5 + 4141*d**2/5 + 3732*d - 4320 = 0. Calculate d.
-3, 1, 8, 20, 45
Solve c**5 + 102*c**4 - 272*c**3 - 6816*c**2 - 16640*c = 0 for c.
-104, -4, 0, 10
Factor 2*g**5/7 + 576*g**4/7 - 1158*g**3/7 + 580*g**2/7.
2*g**2*(g - 1)**2*(g + 290)/7
Find d such that d**5/5 + 33*d**4/5 - 51*d**3/5 - 3401*d**2/5 + 3378*d/5 + 6696/5 = 0.
-31, -12, -1, 2, 9
Factor u**2/3 - 51*u + 5252/3.
(u - 101)*(u - 52)/3
Factor -4*v**4 + 756*v**3 + 2292*v**2 + 2300*v + 768.
-4*(v - 192)*(v + 1)**3
Suppose -568*y**4/5 - 1019*y**3 - 15183*y**2/5 - 14877*y/5 + 459/5 = 0. Calculate y.
-3, 17/568
Solve 2*q**3 - 12*q**2 - 3590*q + 10824 = 0.
-41, 3, 44
Let 6*m**5 + 2572*m**4/3 - 988*m**3/3 - 33016*m**2 + 191194*m/3 - 20020/3 = 0. What is m?
-143, -7, 1/9, 2, 5
Let -3*i**4/7 - 132*i**3 - 42270*i**2/7 + 4860924*i/7 + 4902273/7 = 0. Calculate i.
-179, -1, 51
Factor 4*z**2/5 + 4316*z/5 + 8616/5.
4*(z + 2)*(z + 1077)/5
Suppose v**4 - 56*v**3 - 119*v**2 + 174*v = 0. Calculate v.
-3, 0, 1, 58
Factor -5*m**2 + 68440*m + 68445.
-5*(m - 13689)*(m + 1)
Solve -a**4/3 + 1990*a**3/3 - 331332*a**2 + 1316718*a - 986049 = 0 for a.
1, 3, 993
Factor 2*q**2/15 + 362*q/15 + 748/3.
2*(q + 11)*(q + 170)/15
Factor y**3/7 + 8080*y**2/7 + 2332811*y + 4661006.
(y + 2)*(y + 4039)**2/7
Determine w, given that 40*w**2 + 142*w + 66 = 0.
-3, -11/20
Determine t, given that -7*t**4 + 34*t**3 + 11*t**2 - 30*t = 0.
-1, 0, 6/7, 5
Find l, given that 10*l**2/9 - 9232*l/9 = 0.
0, 4616/5
Solve -4*k**2 + 55664*k + 55668 = 0.
-1, 13917
Factor -2*v**3/15 - 3722*v**2/15 - 1740928*v/15 - 1722368/3.
-2*(v + 5)*(v + 928)**2/15
Solve 2*k**4 + 108*k**3 + 1158*k**2 + 3868*k + 3936 = 0.
-41, -8, -3, -2
Let -3*u**3 + 5106*u**2 + 20487*u - 25590 = 0. What is u?
-5, 1, 1706
Let -2*i**4/7 - 50*i**3/7 + 864*i**2/7 + 14688*i/7 - 172800/7 = 0. What is i?
-25, -24, 12
Solve -f**3/10 + 7289*f**2/10 + 248693*f/10 + 2116347/10 = 0 for f.
-17, 7323
Factor 11103*l**3 - 777211*l**2 + 13601245*l - 1225.
(l - 35)**2*(11103*l - 1)
Suppose 2*r**4 + 272*r**3 + 1284*r**2 - 3392*r + 1834 = 0. Calculate r.
-131, -7, 1
Factor f**3 - 5263*f**2 + 5262*f.
f*(f - 5262)*(f - 1)
Find m, given that -m**5 + 369*m**4 - 10107*m**3 - 21325*m**2 - 10848*m = 0.
-1, 0, 32, 339
Factor -16*a**2 + 50*a + 66.
-2*(a + 1)*(8*a - 33)
Suppose -2*p**4 - 4108*p**3 - 24600*p**2 - 49168*p - 32768 = 0. Calculate p.
-2048, -2
Determine n, given that -2*n**4 + 94*n**3 + 1224*n**2 + 2984*n + 1856 = 0.
-8, -2, -1, 58
Factor -3*a**2 - 1743*a - 48024.
-3*(a + 29)*(a + 552)
Solve -x**2/5 - 126*x/5 + 2431/5 = 0 for x.
-143, 17
What is a in 45*a**4 + 2410*a**3/3 + 4200*a**2 + 6560*a - 3200/3 = 0?
-10, -4, 4/27
Factor -q**3/6 + 250*q**2/3 - 47969*q/6 - 24235/3.
-(q - 370)*(q - 131)*(q + 1)/6
Find p such that -4*p**3/5 + 66024*p**2/5 - 54064596*p - 3514430720 = 0.
-64, 8285
What is q in 5*q**5 + 165*q**4 + 1595*q**3 + 3915*q**2 - 1600*q - 4080 = 0?
-17, -12, -4, -1, 1
Factor -4*o**2 - 7420344*o - 3441344067396.
-4*(o + 927543)**2
Factor 2*v**4/7 - 1728*v**3/7 + 3450*v**2/7 - 1724*v/7.
2*v*(v - 862)*(v - 1)**2/7
Factor 2*c**2/11 + 294*c - 376268/11.
2*(c - 109)*(c + 1726)/11
Solve 6*r**4/5 + 16*r**3/5 - 26886*r**2/5 + 219776*r/5 - 70272/5 = 0 for r.
-72, 1/3, 8, 61
Suppose -6*x**4/5 + 471*x**3/5 + 3903*x**2/5 - 2766*x/5 - 6192/5 = 0. Calculate x.
-8, -1, 3/2, 86
Let -2*g**5/7 + 130*g**4 - 101216*g**3/7 - 521648*g**2/7 - 842720*g/7 - 423200/7 = 0. What is g?
-2, -1, 230
Factor -b**3/11 + 3407*b**2/11 - 237816*b - 45323388.
-(b - 1782)**2*(b + 157)/11
Factor -k**3 + 368*k**2 - 43645*k + 1639950.
-(k - 145)**2*(k - 78)
Factor -3*w**2 - 28572*w - 28569.
-3*(w + 1)*(w + 9523)
Factor -2*y**4/11 + 690*y**3/11 - 80682*y**2/11 + 3345478*y/11 - 17314764/11.
-2*(y - 113)**3*(y - 6)/11
Let 2*p**3/5 - 39464*p**2/5 = 0. What is p?
0, 19732
Let -6*b**4/5 - 74914*b**3 - 499414*b**2/5 + 124858*b/5 + 249708/5 = 0. Calculate b.
-62427, -1, 2/3
Determine o so that 2*o**4 + 1798*o**3 + 14282*o**2 + 23178*o + 10692 = 0.
-891, -6, -1
Solve y**4 + 12*y**3 - 45*y**2 = 0 for y.
-15, 0, 3
Let -25*t**5 + 314360*t**4 - 125716*t**3 - 301786*t**2 + 125741*t - 12574 = 0. What is t?
-1, 1/5, 1, 12574
Determine c, given that 2*c**4/3 + 632*c**3/3 + 49478*c**2/3 = 0.
-173, -143, 0
Factor -k**3/6 - 46*k**2/3 - 935*k/2 - 4719.
-(k + 26)*(k + 33)**2/6
Factor z**2/3 - 338*z/3 + 1304.
(z - 326)*(z - 12)/3
Find u, given that -u**2 + 13094*u + 262280 = 0.
-20, 13114
Determine t so that -2*t**2/7 - 458*t + 1163880/7 = 0.
-1908, 305
What is y in 3*y**5 + 93*y**4 + 261*y**3 - 12765*y**2 - 100056*y - 87120 = 0?
-20, -11, -1, 12
Factor 4*q**3 + 196*q**2 + 1144*q - 1344.
4*(q - 1)*(q + 8)*(q + 42)
Factor c**4 - 7254*c**3 + 13140604*c**2 + 52714854*c - 65848205.
(c - 3629)**2*(c - 1)*(c + 5)
Find y, given that 2*y**5/9 + 56*y**4/9 - 4760*y**3/9 - 152156*y**2/9 + 1586*y/3 + 16900 = 0.
-39, -1, 1, 50
Find m, given that -2*m**3 - 436*m**2 + 7886*m - 24440 = 0.
-235, 4, 13
Determine f, given that 4*f**5 + 44*f**4 - 160*f**3 - 2816*f**2 - 6144*f = 0.
-8, -3, 0, 8
Determine j so that -j**4/2 - 17*j**3/2 - 20*j**2 + 150*j = 0.
-10, 0, 3
Let -3*b**2 + 13494*b - 15174003 = 0. Calculate b.
2249
Let 4*o**4/7 - 162*o**3/7 + 78*o**2/7 + 80*o/7 = 0. What is o?
-1/2, 0, 1, 40
Factor -2*c**2/11 - 250*c.
-2*c*(c + 1375)/11
Find n such that -n**2 - 1681*n + 20316 = 0.
-1693, 12
Determine x so that 3*x**3/2 + 183*x**2/2 + 1374*x + 5904 = 0.
-41, -12, -8
Factor -2*i**3 + 500*i**2 + 3062*i + 2560.
-2*(i - 256)*(i + 1)*(i + 5)
Find u such that u**2 - 5550*u + 5549 = 0.
1, 5549
Factor 84*g**2 - 956*g + 1160.
4*(g - 10)*(21*g - 29)
Suppose 3*v**3 + 55746*v**2 + 111483*v + 55740 = 0. Calculate v.
-18580, -1
Factor -6*y**3 - 8769*y**2 - 30618*y.
-3*y*(y + 1458)*(2*y + 7)
Factor -3*q**3/2 - 369*q**2/2 - 543*q - 360.
-3*(q + 1)*(q + 2)*(q + 120)/2
Solve -2*i**5/11 + 4360*i**4/11 - 2277194*i**3/11 - 109220732*i**2/11 + 225255616*i/11 - 113762048/11 = 0 for i.
-46, 1, 1112
Let -2*g**2 + 1418*g - 22176 = 0. Calculate g.
16, 693
Solve 65*m**3 - 73305*m**2 - 90305*m - 16935 = 0 for m.
-1, -3/13, 1129
Solve -2750*w**3 + 18820*w**2 + 2998*w + 84 = 0 for w.
-3/25, -2/55, 7
What is g in -g**4 - 189*g**3 - 4638*g**2 + 20852*g - 21624 = 0?
-159, -34, 2
Solve 5*p**2 + 143690*p + 143685 = 0 for p.
-28737, -1
Factor 5*m**3 - 1