en that -b**4 + 35*b**3 - 316*b**2 + 660*b = 0.
0, 3, 10, 22
Determine x so that -5*x**2 - 1940*x + 3900 = 0.
-390, 2
Find d such that -2*d**5/5 - 14*d**4/5 + 586*d**3/5 + 6846*d**2/5 + 15048*d/5 = 0.
-12, -11, -3, 0, 19
What is m in 1620*m**3 - 8892*m**2 + 61009*m/5 = 0?
0, 247/90
Find u such that -27*u**5 + 34170*u**4 - 87165*u**3 + 22710*u**2 + 30312*u = 0.
-4/9, 0, 1, 2, 1263
Factor 4*z**3 + 152008*z**2 - 456052*z + 304040.
4*(z - 2)*(z - 1)*(z + 38005)
Factor 2*z**3/7 - 3972*z**2/7 - 128640*z/7 - 1033216/7.
2*(z - 2018)*(z + 16)**2/7
Factor -3*w**4 + 183*w**3 + 5796*w**2.
-3*w**2*(w - 84)*(w + 23)
Factor -5*m**2/2 + 246110*m - 6057013210.
-5*(m - 49222)**2/2
Factor 9*x**3/4 - 2109*x**2/2 + 2809*x/4 - 117.
(x - 468)*(3*x - 1)**2/4
Find x, given that x**2/4 - 1821*x/4 + 12649/2 = 0.
14, 1807
Find r, given that -4*r**4/7 - 596*r**3/7 + 5424*r**2/7 + 61904*r/7 - 20096 = 0.
-157, -8, 2, 14
Factor -5*u**4 + 6875*u**3 + 83040*u**2 + 249660*u.
-5*u*(u - 1387)*(u + 6)**2
Let -10*o**3 + 5118*o**2 - 4088*o = 0. Calculate o.
0, 4/5, 511
Factor -d**2 + 3682*d + 92675.
-(d - 3707)*(d + 25)
Find h such that -4*h**4/9 - 9908*h**3/9 - 2732384*h**2/3 - 2278643456*h/9 - 11189524480/9 = 0.
-824, -5
Factor r**3/6 + 238913*r**2/6 + 7134987424*r/3 + 7134867968/3.
(r + 1)*(r + 119456)**2/6
Suppose 2*w**3/5 - 62*w**2/5 + 36*w + 3744/5 = 0. What is w?
-6, 13, 24
Let -h**2/4 - 44*h + 368 = 0. Calculate h.
-184, 8
Suppose -4*w**3/7 - 48*w**2/7 - 44*w/7 = 0. Calculate w.
-11, -1, 0
Determine u, given that -u**2/3 - 325*u/3 + 113408 = 0.
-768, 443
Find a such that -9*a**3 + 2148*a**2 + 2892*a - 2880 = 0.
-2, 2/3, 240
Factor 4*d**2/3 + 30964*d/3.
4*d*(d + 7741)/3
Let 3*p**4/4 + 165*p**3/4 - 267*p**2/2 - 165*p + 522 = 0. Calculate p.
-58, -2, 2, 3
Factor 2*j**3/3 - 1754*j**2/3 + 10468*j/3 - 13936/3.
2*(j - 871)*(j - 4)*(j - 2)/3
Suppose 4*i**4/5 - 6372*i**3/5 + 3193992*i**2/5 - 78463728*i - 56292120288/5 = 0. What is i?
-81, 558
Find b, given that 2*b**5/7 + 538*b**4/7 + 40574*b**3/7 + 78562*b**2 - 2704000*b/7 + 2875000/7 = 0.
-125, -23, 2
Suppose -2*p**2 + 256464*p - 8221722912 = 0. Calculate p.
64116
Let -2*s**2 + 6867272*s - 5894928090248 = 0. What is s?
1716818
Factor -72*o**3 + 43*o**2 + 561*o - 126.
-(o - 3)*(8*o + 21)*(9*o - 2)
Find c, given that 5*c**2 + 149800*c + 149795 = 0.
-29959, -1
Suppose 4*j**2 + 968*j + 58564 = 0. Calculate j.
-121
Find q, given that -3*q**5/7 - 156*q**4/7 + 144*q**3 + 22848*q**2 + 301056*q = 0.
-28, 0, 32
Factor 2*p**2/9 + 1034456*p/9 + 133762401992/9.
2*(p + 258614)**2/9
Factor 1069*m**2/3 + 4277*m + 12.
(m + 12)*(1069*m + 3)/3
Factor -2*s**2/9 - 28940*s/3 + 86838.
-2*(s - 9)*(s + 43419)/9
Factor -4*r**4/5 - 62*r**3 - 154*r**2/5.
-2*r**2*(r + 77)*(2*r + 1)/5
Determine c so that 4*c**3 + 268*c**2 + 4620*c + 4356 = 0.
-33, -1
Factor -m**3/7 + 164*m**2/7 - 157*m/7 - 978/7.
-(m - 163)*(m - 3)*(m + 2)/7
Determine t, given that -2*t**4 + 1476*t**3 + 2962*t**2 - 1476*t - 2960 = 0.
-2, -1, 1, 740
Let 75*x**4 + 16797*x**3 - 69972*x**2 - 202428*x + 8208 = 0. Calculate x.
-228, -2, 1/25, 6
Determine p so that 3*p**2 + 1092*p - 7791 = 0.
-371, 7
Solve -j**3/4 - 67*j**2/4 - 375*j/4 - 549/4 = 0 for j.
-61, -3
Find v such that v**3/10 - 94*v**2/5 - 20459*v/10 - 45387 = 0.
-41, 270
Solve -2*b**3 - 986*b**2 = 0.
-493, 0
Determine j so that -5*j**3/4 - 9455*j**2/2 - 4512095*j - 79693290 = 0.
-1882, -18
Find v, given that 5*v**4 - 695*v**3 - 9065*v**2 + 695*v + 9060 = 0.
-12, -1, 1, 151
Determine a so that -2*a**2/3 - 788*a/3 - 3056 = 0.
-382, -12
Determine t, given that -t**5/5 + 86*t**4/5 + 10443*t**3/5 - 920636*t**2/5 + 910108*t/5 = 0.
-103, 0, 1, 94
Find a, given that 3*a**3 + 10674*a**2 - 21357*a + 10680 = 0.
-3560, 1
Suppose 3*m**2 + 2942*m - 981 = 0. Calculate m.
-981, 1/3
Factor -3*r**2 - 228*r + 2580.
-3*(r - 10)*(r + 86)
Factor h**3/4 + 185*h**2/4 - 1982*h + 15873.
(h - 26)*(h - 11)*(h + 222)/4
Determine z so that -16*z**4 - 1948*z**3 + 25896*z**2 - 49232*z + 10720 = 0.
-134, 1/4, 2, 10
Solve 4*u**3/5 - 484*u**2/5 + 2284*u + 13940 = 0 for u.
-5, 41, 85
Factor z**4/7 + 347*z**3/7 - 200*z**2 + 1404*z/7.
z*(z - 2)**2*(z + 351)/7
Find i, given that -14*i**3/3 + 620*i**2 + 6592*i + 32000/3 = 0.
-8, -2, 1000/7
Factor 2*b**4 - 16*b**3 + 40*b**2 - 32*b.
2*b*(b - 4)*(b - 2)**2
Suppose 3*j**3/2 - 245439*j**2/2 + 5019902505*j/2 + 5020147947/2 = 0. Calculate j.
-1, 40907
Find n such that 4*n**5 - 472*n**4 + 1268*n**3 + 12880*n**2 = 0.
-4, 0, 7, 115
Let 2*a**4/7 - 10*a**3/7 - 710*a**2/7 - 410*a + 3588/7 = 0. Calculate a.
-13, -6, 1, 23
Find j such that 2*j**5/9 - 176*j**4/3 + 32650*j**3/9 + 293116*j**2/9 + 70720*j/3 - 1849600/9 = 0.
-5, 2, 136
Find u such that 2*u**3/9 + 104*u**2/9 - 1198*u/9 + 868/3 = 0.
-62, 3, 7
Suppose x**4/4 - 406*x**3 + 15147*x**2 - 126680*x - 317200 = 0. Calculate x.
-2, 20, 1586
Factor -b**3/3 - 98656*b**2/3 + b/3 + 98656/3.
-(b - 1)*(b + 1)*(b + 98656)/3
Factor 115*b**3 + 144105*b**2 + 12530*b.
5*b*(b + 1253)*(23*b + 2)
Suppose -2*w**2/3 + 2528*w/3 - 798848/3 = 0. What is w?
632
Solve 3*k**3 + 128448*k**2 + 1374778935*k - 2750071686 = 0 for k.
-21409, 2
Solve 4*r**2 + 5530724*r - 5530728 = 0 for r.
-1382682, 1
Factor -2*u**2/13 + 25650*u/13 + 51308/13.
-2*(u - 12827)*(u + 2)/13
Let 45*h**4 + 846*h**3 - 1073*h**2 + 142*h + 40 = 0. What is h?
-20, -2/15, 1/3, 1
Factor -3*v**3 - 61680*v**2 - 317835519*v - 8222080542.
-3*(v + 26)*(v + 10267)**2
Determine n, given that 12*n**4 - 680001*n**3/5 - 88404*n**2 - 68004*n/5 = 0.
-2/5, -1/4, 0, 11334
Factor 4*d**3 - 45120*d**2 + 127238400*d.
4*d*(d - 5640)**2
Factor -4*n**2 - 83100*n + 249336.
-4*(n - 3)*(n + 20778)
Solve -5*v**2/3 - 248965*v/3 - 248950 = 0.
-49790, -3
Factor l**5 + 169*l**4 - 2502*l**3 + 10908*l**2 - 13176*l.
l*(l - 6)**2*(l - 2)*(l + 183)
Let 5*j**3 + 1905*j**2 + 5230*j - 166320 = 0. Calculate j.
-378, -11, 8
Find i, given that -2*i**4/7 - 36*i**3/7 + 464*i**2/7 - 636*i/7 - 162 = 0.
-27, -1, 3, 7
Factor -5*b**2 - 1688270*b + 1688275.
-5*(b - 1)*(b + 337655)
Factor 2*v**2 - 8906*v - 532416.
2*(v - 4512)*(v + 59)
Let -4*d**3 + 180*d**2 - 2696*d + 13440 = 0. What is d?
14, 15, 16
Factor 2*t**2 + 743014*t + 743012.
2*(t + 1)*(t + 371506)
Determine a, given that -2*a**4/3 - 130*a**3/3 + 842*a**2/3 - 710*a/3 = 0.
-71, 0, 1, 5
Factor -j**3/6 - 43*j**2 + 2679*j/2 + 4147/3.
-(j - 29)*(j + 1)*(j + 286)/6
What is q in -2642*q**2 - 29110*q - 528 = 0?
-11, -24/1321
Suppose 2*l**2/11 + 254460*l/11 - 254462/11 = 0. Calculate l.
-127231, 1
Factor 3*t**2 - 894*t + 13536.
3*(t - 282)*(t - 16)
Factor b**2/3 - 5804*b + 25264812.
(b - 8706)**2/3
Find y, given that -9*y**4/8 - 167*y**3/2 - 14*y**2 + 334*y + 74 = 0.
-74, -2, -2/9, 2
Solve 3*y**5 + 690*y**4 + 11133*y**3 + 57834*y**2 + 68364*y - 138024 = 0.
-213, -6, 1
Factor 5*r**2 - 17450*r.
5*r*(r - 3490)
Factor -5*n**2 - 53820*n - 53815.
-5*(n + 1)*(n + 10763)
Factor f**2/4 - 465*f/4 + 24883/2.
(f - 298)*(f - 167)/4
Factor q**3/3 - 145*q**2/12 + 953*q/12 - 203/3.
(q - 28)*(q - 1)*(4*q - 29)/12
Solve 4*c**2 - 35032*c + 76702564 = 0.
4379
Determine t so that -24*t**4 - 425*t**3 - 139*t**2 = 0.
-139/8, -1/3, 0
Find n such that -2*n**2/15 - 3094*n - 185608/15 = 0.
-23201, -4
Find a such that 3*a**5 + 150*a**4 + 1587*a**3 + 5436*a**2 + 3996*a = 0.
-37, -6, -1, 0
Factor 2*s**2/13 - 66*s/13 + 28.
2*(s - 26)*(s - 7)/13
Suppose -2*y**5 - 792*y**4 - 4698*y**3 - 7028*y**2 - 3120*y = 0. What is y?
-390, -4, -1, 0
Factor 2*t**2/17 - 104608*t/17 + 1367854208/17.
2*(t - 26152)**2/17
Suppose m**4/5 + 901*m**3/5 - 5478*m**2/5 - 32436*m/5 + 195912/5 = 0. What is m?
-907, -6, 6
Let -3*c**2 - 3471*c - 41220 = 0. What is c?
-1145, -12
Factor 8*d**2/7 - 148198*d/7 - 37050/7.
2*(d - 18525)*(4*d + 1)/7
Factor -5*b**2/4 + 10645*b/2 - 22663205/4.
-5*(b - 2129)**2/4
Factor 2*w**2/3 + 142*w/3 - 4264.
2*(w - 52)*(w + 123)/3
Solve t**2 - 9348*t = 0 for t.
0, 9348
Factor -4*k**2 + 668*k - 7440.
-4*(k - 155)*(k - 12)
Find s such that 3*s**4/7 - 450*s**3/7 + 3852*s**2/7 - 6366*s/7 + 423 = 0.
1, 7, 141
What is u in 30*u**5 + 517607*u**4 + 293283*u**3 - 310557*u**2 - 51757*u + 34506 = 0?
-17253, -1, -2/5, 1/3, 1/2
Factor -2*n**4 + 2496*n**3 - 847772*n**2 + 43068480*n - 595470050.
-2*(n - 595)**2*(n - 29)**2
Factor -2*x**2/11 + 580*x/11 + 27642.
-2*(x - 561)*(x + 271)/11
Fact