 322)*(7*k - 8)
Factor 3*v**3 + 909*v**2 + 71073*v + 333015.
3*(v + 5)*(v + 149)**2
Factor -c**3/4 + 219*c**2 - 101205*c/4 + 1575925/2.
-(c - 746)*(c - 65)**2/4
Factor 3*z**2 - 2979*z + 32406.
3*(z - 982)*(z - 11)
Determine s so that 6*s**5/7 - 19844*s**4/7 + 16460494*s**3/7 - 87304848*s**2/7 + 65313560*s/7 + 87225632/7 = 0.
-2/3, 2, 4, 1651
What is c in -21*c**4/2 - 1698*c**3 + 4521*c**2/2 + 9762*c - 2934 = 0?
-163, -2, 2/7, 3
Factor -67551961*m**3/4 + 1405449*m**2/2 - 29241*m/4.
-m*(8219*m - 171)**2/4
Solve a**5/6 - 11*a**4/6 - 131*a**3/3 - 584*a**2/3 - 144*a + 384 = 0.
-6, -4, 1, 24
Suppose -r**3 + 39*r**2 - 224*r = 0. Calculate r.
0, 7, 32
Factor -l**3/4 + 4539*l**2/2 + 90871*l/4 + 20448.
-(l - 9088)*(l + 1)*(l + 9)/4
Find v such that v**3 - 157*v**2 + 5576*v + 47068 = 0.
-7, 82
Factor 7321*t**4/2 + 7328*t**3 + 7349*t**2/2 + 7*t.
t*(t + 1)**2*(7321*t + 14)/2
Let -f**4 - 108*f**3 + 577*f**2 + 27552*f + 51948 = 0. Calculate f.
-111, -13, -2, 18
Find c, given that -2*c**3/7 - 3963146*c**2/7 - 1963317758736*c/7 - 1963313795592/7 = 0.
-990786, -1
Factor 5*b**4 - 635*b**3 + 2380*b**2 + 10160*b - 39360.
5*(b - 123)*(b - 4)**2*(b + 4)
Solve 4*g**4 + 240*g**3 + 1452*g**2 - 1696*g = 0.
-53, -8, 0, 1
Find r, given that -2*r**2/5 + 6402*r/5 + 57112 = 0.
-44, 3245
What is x in x**2/4 + 433*x/4 - 11921 = 0?
-524, 91
Suppose -90*r**4 - 15935*r**3 - 795*r**2 + 15935*r + 885 = 0. What is r?
-177, -1, -1/18, 1
What is b in -5*b**3/6 - 3315*b**2/2 - 1646725*b/2 + 4950125/6 = 0?
-995, 1
Solve -s**4 + 8680*s**3 - 26018*s**2 - 112816*s + 130155 = 0.
-3, 1, 5, 8677
Factor 2*n**2/3 + 51532*n/3 + 331943378/3.
2*(n + 12883)**2/3
Let -r**3 + 464*r**2 + 49*r - 22736 = 0. What is r?
-7, 7, 464
Suppose 5*v**2 + 1035*v + 40810 = 0. Calculate v.
-154, -53
Let -2*y**2 - 6710*y - 6708 = 0. What is y?
-3354, -1
Determine b, given that 8*b**5 + 2130*b**4 - 1644*b**3 - 11248*b**2 - 9084*b - 1602 = 0.
-267, -1, -1/4, 3
Find b, given that -5*b**2 - 97350*b + 681695 = 0.
-19477, 7
Solve h**2 - 85254*h + 1817061129 = 0.
42627
Factor -5*j**3 + 310935*j**2 - 4834805955*j + 24166257025.
-5*(j - 31091)**2*(j - 5)
Factor -s**2/7 + 9766*s/7 - 23843689/7.
-(s - 4883)**2/7
Solve 3*s**3/2 + 429*s**2 + 12909*s/2 - 6885 = 0.
-270, -17, 1
Factor k**3/2 + 2133*k**2/2 - 4269*k/2 + 2135/2.
(k - 1)**2*(k + 2135)/2
Solve 4*v**2 - 3312*v - 60912 = 0 for v.
-18, 846
Factor m**2/3 - 109045*m/3 + 109042.
(m - 109042)*(m - 3)/3
Let w**3/8 - 331*w**2/8 + 165*w/4 = 0. What is w?
0, 1, 330
Determine k so that -3*k**2 - 308734*k - 102911 = 0.
-102911, -1/3
Factor 2*w**2 - 4519520*w + 2553257628800.
2*(w - 1129880)**2
Factor -20*u**3/3 + 148*u**2/3 + 104*u/3 - 64/3.
-4*(u - 8)*(u + 1)*(5*u - 2)/3
Factor 3*i**2 - 234*i + 3363.
3*(i - 59)*(i - 19)
Solve 2*j**5 - 800*j**4 + 3174*j**3 - 2368*j**2 - 3176*j + 3168 = 0 for j.
-1, 1, 2, 396
Suppose -q**3/4 + 12*q**2 + 751*q/4 - 4959/2 = 0. What is q?
-19, 9, 58
Suppose -5*n**2/4 - 255*n/2 + 515/4 = 0. Calculate n.
-103, 1
What is q in -625*q**5 + 24575*q**4 + 97184*q**3 + 74524*q**2 - 31712*q + 2752 = 0?
-2, 4/25, 43
Suppose 5*p**4 - 575*p**3 + 21740*p**2 - 262800*p - 285120 = 0. Calculate p.
-1, 36, 44
Suppose -4*r**2 + 1877840*r - 220392691600 = 0. What is r?
234730
Determine u, given that 3*u**4 - 198*u**3 - 2280*u**2 = 0.
-10, 0, 76
Solve 10082*d**5 - 19738*d**4 - 8196*d**3 + 17000*d**2 - 4624*d = 0.
-1, 0, 34/71, 2
Factor 5*n**2 - 19225*n + 76820.
5*(n - 3841)*(n - 4)
Suppose o**3/2 + 52237*o**2 + 1364404320*o + 2728599696 = 0. Calculate o.
-52236, -2
Determine y so that 3*y**2 - 4674*y + 27936 = 0.
6, 1552
Suppose -b**2/3 + 6448*b/3 + 4300 = 0. Calculate b.
-2, 6450
Find x, given that 5*x**4 - 340*x**3 - 355*x**2 + 690*x = 0.
-2, 0, 1, 69
Factor -y**3 + 6311*y**2 - 18920*y - 25232.
-(y - 6308)*(y - 4)*(y + 1)
Solve 2*w**5 - 698*w**4 - 31904*w**3 - 29800*w**2 + 62400*w = 0.
-40, -2, 0, 1, 390
Find g, given that 9*g**3/7 + 62206*g**2/7 - 699201*g/7 + 21758 = 0.
-6923, 2/9, 11
Find i, given that i**3/2 - 395*i**2/2 + 46375*i/2 - 1378125/2 = 0.
45, 175
Factor -v**3 - 273*v**2 - 16191*v + 16465.
-(v - 1)*(v + 89)*(v + 185)
Let -2*t**2/7 + 6210*t/7 - 6208/7 = 0. Calculate t.
1, 3104
Let -f**5/8 + 325*f**4/8 - 4941*f**3/8 - 1477*f**2/8 + 84491*f/4 + 37389 = 0. Calculate f.
-4, -2, 11, 309
Factor q**2 + 10044*q + 10043.
(q + 1)*(q + 10043)
Determine b, given that 2*b**3/5 - 1806*b**2/5 + 8988*b/5 - 7184/5 = 0.
1, 4, 898
Determine i so that 2*i**4/7 - 6588*i**3/7 + 5372258*i**2/7 + 87225120*i/7 + 350595200/7 = 0.
-8, 1655
Factor -35*v**3 - 475*v**2 + 6120*v + 13860.
-5*(v + 2)*(v + 21)*(7*v - 66)
Suppose t**3 - 1069*t**2 + 42188*t - 41120 = 0. Calculate t.
1, 40, 1028
Suppose 2*v**2 - 58206*v/7 - 3564 = 0. What is v?
-3/7, 4158
Let 2*d**2/5 - 68184*d/5 + 204534/5 = 0. Calculate d.
3, 34089
Factor -2*x**3 - 12042*x**2.
-2*x**2*(x + 6021)
Let -2*o**4/3 - 390*o**3 - 14980*o**2/3 - 20640*o - 27456 = 0. Calculate o.
-572, -6, -4, -3
Let 5*k**4 + 630*k**3 + 14835*k**2 - 310310*k = 0. What is k?
-77, -62, 0, 13
Determine r, given that -4*r**2 - 1440*r - 90396 = 0.
-279, -81
Factor -d**3 - 15711*d**2 - 141336*d - 282636.
-(d + 3)*(d + 6)*(d + 15702)
Suppose k**2 - 98728*k - 197460 = 0. What is k?
-2, 98730
Find i such that i**2 - 463*i + 8436 = 0.
19, 444
Determine v so that 2*v**3 - 226*v**2 + 4980*v = 0.
0, 30, 83
Solve 16*q**5/7 + 1536*q**4/7 + 16916*q**3/7 + 67476*q**2/7 + 108576*q/7 + 8640 = 0 for q.
-84, -5, -4, -3/2
Suppose -8*j**3 + 3556*j**2 - 5320*j + 1772 = 0. Calculate j.
1/2, 1, 443
Let -4*i**4/3 + 6788*i**3 + 122284*i**2/3 + 74748*i + 40776 = 0. What is i?
-3, -2, -1, 5097
Factor 3*g**3 - 201*g**2 - 2574*g.
3*g*(g - 78)*(g + 11)
Let -h**4/3 - 1910*h**3 + 19125*h**2 - 143500*h/3 = 0. What is h?
-5740, 0, 5
Suppose -11*f**2/8 + 316*f + 696 = 0. Calculate f.
-24/11, 232
What is r in -30*r**5 - 1426*r**4/5 + 882*r**3/5 + 1346*r**2/5 - 732*r/5 + 16 = 0?
-10, -1, 4/25, 1/3, 1
Factor 2*b**3/5 + 24646*b**2/5.
2*b**2*(b + 12323)/5
What is b in 22*b**4 - 116960*b**3 - 542634*b**2 - 574668*b = 0?
-3, -18/11, 0, 5321
Factor -d**2/7 + 1093*d/7 - 43132/7.
-(d - 1052)*(d - 41)/7
Find t such that -2*t**2/17 + 260164*t/17 - 8460663362/17 = 0.
65041
What is k in 3*k**3/7 - 1248*k**2/7 - 16773*k/7 + 2574 = 0?
-14, 1, 429
Suppose m**4 + 5433*m**3 + 7365771*m**2 - 36964805*m = 0. What is m?
-2719, 0, 5
Suppose 4*v**2/9 - 403136*v/3 + 10157414656 = 0. What is v?
151176
Determine f so that -2*f**2 - 67058*f/13 - 67032/13 = 0.
-33516/13, -1
What is o in -2*o**2/13 - 123504*o/13 - 1906654752/13 = 0?
-30876
Solve 14928*x**2 + 507554*x + 68 = 0 for x.
-34, -1/7464
Factor b**4 + 33*b**3 - 2748*b**2 - 92752*b + 302016.
(b - 52)*(b - 3)*(b + 44)**2
Factor -c**2/4 + 1757*c/2 - 24549/4.
-(c - 3507)*(c - 7)/4
Solve -5*p**5 + 845*p**4 + 28885*p**3 + 194435*p**2 - 478880*p + 254720 = 0 for p.
-16, 1, 199
Find v, given that 104*v**2 - 8110*v/3 - 52/3 = 0.
-1/156, 26
Factor j**3/5 + 564*j**2/5 + 448*j.
j*(j + 4)*(j + 560)/5
Factor -3*g**2 + 2220*g - 366777.
-3*(g - 491)*(g - 249)
Find b, given that b**4/6 + 62*b**3/3 + 929*b**2/2 - 1582*b/3 - 2914/3 = 0.
-94, -31, -1, 2
Suppose -z**2 - 189*z/2 - 1595 = 0. What is z?
-145/2, -22
Determine b so that -2*b**2/11 + 91472*b/11 - 182936/11 = 0.
2, 45734
Find x, given that 2*x**5/5 + 4*x**4 + 12*x**3/5 - 64*x**2/5 - 94*x/5 - 36/5 = 0.
-9, -1, 2
Let 184*y**4 + 1652*y**3/3 + 548*y**2 + 180*y - 4/3 = 0. Calculate y.
-1, 1/138
Factor 3*y**4/2 - 11136*y**3 + 44535*y**2/2 - 11133*y.
3*y*(y - 7422)*(y - 1)**2/2
Find i such that i**3 - 16*i**2/3 - 55*i/3 + 76 = 0.
-4, 3, 19/3
Suppose -2*d**4 - 76*d**3 + 2720*d**2 - 5204*d + 2562 = 0. Calculate d.
-61, 1, 21
Factor 4*r**4/5 + 65536*r**3/5 + 65532*r**2/5.
4*r**2*(r + 1)*(r + 16383)/5
Factor -425920*f**4 + 256065040*f**3 - 52365060*f**2 + 3570075*f - 81135.
-5*(f - 601)*(44*f - 3)**3
Let -4*p**4/3 + 213712*p**3/3 - 1068484*p**2/3 + 427384*p = 0. What is p?
0, 2, 3, 53423
Determine q so that -q**2/3 + 91755*q = 0.
0, 275265
What is a in -5*a**3/6 + 1160*a**2/3 - 28070*a + 558600 = 0?
42, 380
Factor 3*j**3 - 231*j**2 + 3357*j + 3591.
3*(j - 57)*(j - 21)*(j + 1)
Factor 3*a**2/2 + 11997*a/2 - 48084.
3*(a - 8)*(a + 4007)/2
Find k such that -2*k**4/9 - 92*k**3/9 - 754*k**2/9 - 1168*k/9 + 224 = 0.
-36, -7, -4, 1
Deter