= 0. What is b?
-10, 17, 20
Determine m so that -19*m**4/3 - 10919*m**3 + 63845*m**2/3 - 9781*m - 1726/3 = 0.
-1726, -1/19, 1
Suppose 4*u**5 - 408*u**4 + 9916*u**3 + 21912*u**2 - 9920*u - 21504 = 0. Calculate u.
-2, -1, 1, 48, 56
Suppose -z**4/7 - 3026*z**3/7 + 39451*z**2/7 - 170104*z/7 + 243120/7 = 0. Calculate z.
-3039, 4, 5
Factor -2*p**2/11 - 58424*p/11 - 116840/11.
-2*(p + 2)*(p + 29210)/11
Solve -5*x**3/3 + 785*x**2/3 + 35120*x/3 - 73340/3 = 0.
-38, 2, 193
Find w, given that -5*w**4 - 94250*w**3 + 377055*w**2 - 471340*w + 188540 = 0.
-18854, 1, 2
Find o such that -3*o**3/7 - 4701*o**2/7 - 344280*o/7 - 922716 = 0.
-1491, -38
Suppose 2*f**5/7 + 2498*f**4/7 + 68708*f**3/7 + 404532*f**2/7 - 1025190*f/7 + 549450/7 = 0. Calculate f.
-1221, -15, 1
Factor -d**3/6 - 85*d**2/6 + 64*d/3 + 602.
-(d - 7)*(d + 6)*(d + 86)/6
Let 2*u**2/11 + 4176*u/11 - 12546/11 = 0. What is u?
-2091, 3
Suppose 2*n**2/5 + 222*n - 2228/5 = 0. Calculate n.
-557, 2
Determine g, given that 3*g**2/5 - 753*g/5 + 1584 = 0.
11, 240
Find v, given that v**4/4 - 25*v**3/2 - 219*v**2/4 + 6895*v - 13475 = 0.
-22, 2, 35
Factor -3*y**2 + 116391*y - 116388.
-3*(y - 38796)*(y - 1)
Factor 3*b**3 + 10560*b**2 + 63252*b.
3*b*(b + 6)*(b + 3514)
Find c such that c**2/6 + 100136*c/3 + 5013609248/3 = 0.
-100136
Suppose 2*k**2 + 1884840*k + 1884838 = 0. Calculate k.
-942419, -1
Factor 3*q**4/4 - 639*q**3 + 117039*q**2 + 8122968*q + 121196208.
3*(q - 454)**2*(q + 28)**2/4
Factor -3*y**2/5 + 151*y/2 - 16011/10.
-(y - 27)*(6*y - 593)/10
Find z, given that 2*z**4 - 52*z**3 - 566*z**2 + 712*z + 1224 = 0.
-9, -1, 2, 34
Suppose 4*s**3 - 5420*s**2 - 5448*s + 32544 = 0. Calculate s.
-3, 2, 1356
Factor n**3/3 + 445*n**2/3 - 893*n/3 + 149.
(n - 1)**2*(n + 447)/3
Solve -2*r**5/9 - 1478*r**4/9 - 115708*r**3/3 - 26585452*r**2/9 - 50770474*r/9 + 25901510/3 = 0.
-355, -191, -3, 1
What is k in -3*k**4/7 - 18*k**3/7 + 2967*k**2/7 - 414*k - 840 = 0?
-35, -1, 2, 28
Factor m**3/3 + 118*m**2/3 - 5509*m/3 + 5390/3.
(m - 35)*(m - 1)*(m + 154)/3
Suppose 3*j**2 - 60366*j = 0. What is j?
0, 20122
Let 3*s**3/2 - 327*s**2/2 + 9177*s/2 - 76893/2 = 0. Calculate s.
19, 71
Factor -5*m**2 + 365780*m + 4390080.
-5*(m - 73168)*(m + 12)
Let -4*s**5/7 + 108*s**4/7 + 2804*s**3/7 + 8868*s**2/7 - 26560*s/7 + 2112 = 0. What is s?
-12, -7, 1, 44
Let 18*s**4/7 - 30606*s**3/7 - 1858936*s**2/7 + 2519368*s/7 - 844320/7 = 0. What is s?
-60, 2/3, 1759
Factor 2*w**3/3 + 92*w**2 + 8902*w/3 - 3060.
2*(w - 1)*(w + 54)*(w + 85)/3
Factor 2*u**5/7 - 1168*u**4/7 - 1690*u**3 - 29700*u**2/7.
2*u**2*(u - 594)*(u + 5)**2/7
Find i such that 10*i**5/17 + 3186*i**4/17 - 7686*i**3/17 + 5774*i**2/17 - 1284*i/17 = 0.
-321, 0, 2/5, 1
Determine g so that 2*g**4/21 + 24*g**3/7 + 346*g**2/21 - 180*g = 0.
-27, -14, 0, 5
Factor -4*r**2 + 961116*r + 2883384.
-4*(r - 240282)*(r + 3)
What is q in -18580*q**3/3 - 12385*q**2 - 6190*q + 5/3 = 0?
-1, 1/3716
Suppose -77*p**3/4 - 240161*p**2/4 - 58462*p + 1559 = 0. Calculate p.
-3118, -1, 2/77
Factor a**3/4 - 1665*a**2/4 + 3327*a/4 - 1663/4.
(a - 1663)*(a - 1)**2/4
What is f in 96*f**5/7 + 5818*f**4/7 + 39668*f**3/7 + 52154*f**2/7 + 16936*f/7 - 1272/7 = 0?
-53, -6, -1, -2/3, 1/16
Find q such that q**4/3 - 14*q**3/3 - 13*q**2 + 252*q = 0.
-7, 0, 9, 12
Suppose 3*v**4/7 - 813*v**3/7 + 4779*v**2/7 - 2355*v/7 - 7950/7 = 0. Calculate v.
-1, 2, 5, 265
Factor -315*d**2 - 529505*d + 16810.
-5*(d + 1681)*(63*d - 2)
Solve -250*z**4/7 + 13450*z**3/7 - 145770*z**2/7 - 2477186*z/7 + 5771588 = 0 for z.
-14, 113/5
Determine s so that s**3/3 - 7892*s**2/3 + 15781*s/3 - 2630 = 0.
1, 7890
Determine a, given that 5*a**2 + 4040*a + 63360 = 0.
-792, -16
Suppose -x**4 + 1105*x**3 - 17501*x**2 + 83951*x - 106722 = 0. What is x?
2, 7, 1089
Factor 4*f**2 + 1496*f + 42532.
4*(f + 31)*(f + 343)
Factor -245*n**2 + 1595*n + 840.
-5*(n - 7)*(49*n + 24)
Factor k**5/11 + 307*k**4/11 - 3145*k**3/11 + 7925*k**2/11.
k**2*(k - 5)**2*(k + 317)/11
Determine v, given that v**4 - 25*v**3 + 164*v**2 - 332*v + 192 = 0.
1, 2, 6, 16
Factor -o**2/10 - 91*o/2 - 2873/5.
-(o + 13)*(o + 442)/10
Find f such that -3*f**5/2 + 1341*f**4 - 10665*f**3 + 29274*f**2 - 63819*f/2 + 11961 = 0.
1, 3, 886
Factor 150*j**3 - 395*j**2 + 165*j + 50.
5*(j - 2)*(5*j + 1)*(6*j - 5)
Solve -6*f**5 + 2577*f**4/2 - 85179*f**3/2 + 296640*f**2 - 493398*f - 142560 = 0.
-1/4, 3, 6, 30, 176
Let 7992*n**4 - 109842*n**3/11 - 505554*n**2/11 + 131592*n/11 + 72/11 = 0. Calculate n.
-2, -2/3663, 1/4, 3
Factor -k**4 + 1631*k**3 + 6536*k**2 + 6540*k.
-k*(k - 1635)*(k + 2)**2
What is o in o**5 + 88*o**4 + 249*o**3 - 518*o**2 - 680*o = 0?
-85, -4, -1, 0, 2
Factor 5*b**3/3 + 222530*b**2/3 + 825475015*b + 3300713340.
5*(b + 4)*(b + 22251)**2/3
Suppose s**2/4 - 90*s - 149929/4 = 0. Calculate s.
-247, 607
Factor -a**3 + 219*a**2 + 10401*a - 10619.
-(a - 259)*(a - 1)*(a + 41)
Find i, given that -2*i**5 - 1372*i**4 + 6*i**3 + 4112*i**2 - 2744*i = 0.
-686, -2, 0, 1
Factor 7*p**3 - 392947*p**2 + 112270*p.
p*(p - 56135)*(7*p - 2)
Let 3*m**3/5 + 201*m**2/5 - 1887*m + 87567/5 = 0. What is m?
-101, 17
Find b such that 5*b**2 + 44105*b + 836190 = 0.
-8802, -19
Factor -3*h**2 - 17505*h + 35022.
-3*(h - 2)*(h + 5837)
Factor -t**3/3 + 1009*t**2/3 - 294952*t/3 + 6502684.
-(t - 458)**2*(t - 93)/3
Solve 14*i**2/11 - 6711198*i/11 + 1917484/11 = 0.
2/7, 479371
Find p, given that 2*p**2/11 + 139592*p/11 + 2435740808/11 = 0.
-34898
Factor -z**3 - 16*z**2 - 25*z + 42.
-(z - 1)*(z + 3)*(z + 14)
Let i**2/6 - 17*i + 100/3 = 0. What is i?
2, 100
Determine y so that y**2 - 1254*y + 393129 = 0.
627
Let -12*i**5 - 30884*i**4 - 174592*i**3 + 82224*i**2 + 123264*i = 0. Calculate i.
-2568, -6, -2/3, 0, 1
Solve -4*y**5 - 48*y**4 - 12*y**3 + 832*y**2 - 768*y = 0 for y.
-8, 0, 1, 3
Solve 5*o**5 - 390*o**4 - 430*o**3 + 2700*o**2 + 5105*o + 2370 = 0.
-2, -1, 3, 79
Find d such that -4*d**5 + 3286*d**4 + 11534*d**3 + 13194*d**2 + 4950*d = 0.
-3/2, -1, 0, 825
Let 4547*i**2/2 + 2291*i + 35/2 = 0. Calculate i.
-1, -35/4547
What is a in 4*a**4 + 8162*a**3 + 28426*a**2 - 187362*a + 85554 = 0?
-2037, -7, 1/2, 3
Suppose -2*t**5/3 + 61*t**4 - 2278*t**3/3 - 31684*t**2 - 13176*t + 93312 = 0. Calculate t.
-16, -2, 3/2, 54
Solve h**3 + 11957*h**2 + 35748440*h + 35736484 = 0.
-5978, -1
Suppose -2*p**4/15 - 266*p**3/15 - 10204*p**2/15 - 60088*p/15 + 524784/5 = 0. What is p?
-58, -26, 9
What is d in 21*d**5 - 2568*d**4 + 103800*d**3 - 1361142*d**2 - 1056861*d + 410670 = 0?
-1, 2/7, 39, 45
Factor 4*w**2 + 48680*w + 148108900.
4*(w + 6085)**2
What is d in -5*d**4/3 - 830*d**3/3 - 1595*d**2/3 + 2490*d + 4920 = 0?
-164, -3, -2, 3
Let x**2 + 5985*x = 0. Calculate x.
-5985, 0
Factor 3*c**4 - 382140*c**3 + 12171158850*c**2 - 121682929500*c + 304183441875.
3*(c - 63685)**2*(c - 5)**2
Determine p, given that 637*p**3 - 2542*p**2 + 2524*p + 24 = 0.
-6/637, 2
Factor -4*g**3 + 176*g**2 + 2364*g - 113400.
-4*(g - 42)*(g - 27)*(g + 25)
What is r in -r**3/3 - 241*r**2/3 - 11608*r/3 + 26180 = 0?
-170, -77, 6
Factor 42*h**2 - 171*h - 195.
3*(h - 5)*(14*h + 13)
Factor 62*i**2/7 - 33476*i/7 - 2160/7.
2*(i - 540)*(31*i + 2)/7
Factor 5733*o**3 + 305501*o**2 + 87560*o + 212.
(o + 53)*(7*o + 2)*(819*o + 2)
Let 2*u**2/9 - 16288*u/9 = 0. What is u?
0, 8144
Find b, given that -4*b**2 + 91768*b - 1375620 = 0.
15, 22927
Determine i so that i**2 + 78102*i + 1524980601 = 0.
-39051
Factor o**3/6 - 404453*o**2/6 - 67409*o.
o*(o - 404454)*(o + 1)/6
Solve -y**2/5 - 571*y/5 - 114 = 0 for y.
-570, -1
Factor 3*f**2 - 699*f + 1386.
3*(f - 231)*(f - 2)
Let 4*v**2 - 356*v - 9240 = 0. Calculate v.
-21, 110
Factor m**2/4 - 14248*m + 56991/4.
(m - 56991)*(m - 1)/4
Find b such that 4*b**3 - 141420*b**2 - 282852*b - 141428 = 0.
-1, 35357
Factor 5*m**2 + 87725*m - 175470.
5*(m - 2)*(m + 17547)
Find t such that 3*t**2 - 2526*t + 5040 = 0.
2, 840
Factor -369345*n**2 - 2954750*n + 80.
-5*(n + 8)*(73869*n - 2)
Determine b so that -2*b**4/7 + 36*b**3/7 - 18*b**2 - 244*b/7 + 48 = 0.
-2, 1, 7, 12
What is z in -2*z**4/5 - 146*z**3/5 + 474*z**2/5 + 1378*z/5 + 152 = 0?
-76, -1, 5
Let w**4 + 3944*w**3 - 63377*w**2 - 67320*w = 0. Calculate w.
-3960, -1, 0, 17
Factor -28*p**2 + 640*p - 528.
-4*(p - 22)*(7*p - 6)
Find t, given that -18*t**4/17 + 1309828*t**3/17 - 31771382016*t**2/17 + 256886920888320*t/17 - 5708441347686