2)
Solve 36*q**3 - 24*q**2 + 4*q = 0.
0, 1/3
Find b such that -b**3/2 - 25974*b**2 + 103899*b/2 - 25975 = 0.
-51950, 1
Factor -u**4 - 109*u**3 - 2871*u**2 - 28919*u - 101156.
-(u + 11)**3*(u + 76)
Let 3*w**5 + 336*w**4 - 4884*w**3 - 1002*w**2 + 15297*w - 9750 = 0. Calculate w.
-125, -2, 1, 13
Let -3*d**5/4 - 33*d**4/4 + 225*d**3/4 + 2997*d**2/4 + 4779*d/2 + 2430 = 0. Calculate d.
-12, -3, 10
Suppose -2*w**5/9 - 1736*w**4/9 - 1150*w**3/3 + 12116*w**2/9 - 6928*w/9 = 0. What is w?
-866, -4, 0, 1
Factor -2*j**4/7 + 2388*j**3/7 - 668538*j**2/7 - 26435160*j/7 - 245089800/7.
-2*(j - 615)**2*(j + 18)**2/7
Let 2*g**4/13 + 1946*g**3/13 + 13540*g**2/13 + 15424*g/13 - 30912/13 = 0. Calculate g.
-966, -4, 1
Determine h so that 5*h**5/4 - 247825*h**4/4 + 3071233245*h**3/4 - 9211965035*h**2/4 + 3070489805*h/2 = 0.
0, 1, 2, 24781
Factor 2*d**3/7 - 734*d**2/7 - 748*d/7 + 4416/7.
2*(d - 368)*(d - 2)*(d + 3)/7
Solve h**2/2 + 280*h + 1112 = 0.
-556, -4
Factor -4*x**2 + 29628*x/7 - 4832.
-4*(x - 1057)*(7*x - 8)/7
Let -980*h**2 - 1054*h - 74 = 0. What is h?
-1, -37/490
Solve 118*o**2 + 814*o - 84 = 0.
-7, 6/59
What is n in 18581*n**4 - 18579*n**3 - 2*n**2 = 0?
-2/18581, 0, 1
Factor 2*j**2/3 + 326*j - 79520/3.
2*(j - 71)*(j + 560)/3
Solve 11*u**4/6 + 89*u**3 + 1729*u**2/6 - 199*u - 180 = 0.
-45, -4, -6/11, 1
Factor 5*j**3 - 240*j**2 - 4115*j - 13950.
5*(j - 62)*(j + 5)*(j + 9)
Find g, given that -2*g**2/5 + 518926*g/5 = 0.
0, 259463
Suppose -3*f**3 + 108*f**2 - 1044*f + 2640 = 0. Calculate f.
4, 10, 22
Solve 28*t**3 - 31440*t**2 - 189396*t - 284472 = 0 for t.
-3, 7902/7
Factor r**3/2 + 217*r**2/2 + 13231*r/2 + 153015/2.
(r + 15)*(r + 101)**2/2
Factor 611524*f**3 + 4885936*f**2 - 50032*f + 128.
4*(f + 8)*(391*f - 2)**2
Suppose -n**2 - 224327*n + 672990 = 0. What is n?
-224330, 3
Let d**4/4 + 455*d**3/4 + 2663*d**2/4 - 13955*d/4 - 4041 = 0. Calculate d.
-449, -9, -1, 4
Determine y, given that -y**3/4 + 155*y**2/4 - 2719*y/4 + 2565/4 = 0.
1, 19, 135
Factor -11224*z**3 - 224532*z**2 - 1123440*z - 5200.
-4*(z + 10)**2*(2806*z + 13)
Factor -2*z**3/19 + 80*z**2/19 + 9686*z/19 + 164836/19.
-2*(z - 98)*(z + 29)**2/19
Suppose -2*a**3/3 + 4*a**2/3 + 46*a - 180 = 0. What is a?
-9, 5, 6
Solve 6*n**2/7 + 4314*n/7 - 592596/7 = 0 for n.
-837, 118
Let -10*l**4 + 264*l**3 + 56*l**2 - 4224*l + 1664 = 0. Calculate l.
-4, 2/5, 4, 26
Factor -880*c**3 - 6164*c**2 - 8828*c - 40.
-4*(c + 2)*(c + 5)*(220*c + 1)
What is s in -3*s**2/8 - 6105*s/8 - 6093/2 = 0?
-2031, -4
Determine k so that -k**5/3 + 89*k**4/3 + 866*k**3/3 - 38310*k**2 - 859275*k - 5050125 = 0.
-15, 67
Solve -3*m**4/5 - 33*m**3/5 + 94743*m**2/5 - 6145227*m/5 = 0 for m.
-209, 0, 99
Solve 1388*j**2 + 1348*j - 40 = 0.
-1, 10/347
Factor -305*v**3 - 3655*v**2 + 25985*v - 425.
-5*(v - 5)*(v + 17)*(61*v - 1)
Solve 2*x**4/5 - 7873*x**3/5 - 3937*x**2/5 = 0.
-1/2, 0, 3937
Let -2*v**2 - 449016*v - 25201921032 = 0. Calculate v.
-112254
Factor p**4 - 317*p**3 + 315*p**2 + 4630817*p + 4630184.
(p - 211)**2*(p + 1)*(p + 104)
Factor o**3/3 + 10*o**2/3 - 1056*o - 26784.
(o - 62)*(o + 36)**2/3
Factor -7*i**2/5 + 11145*i + 15922/5.
-(i - 7961)*(7*i + 2)/5
Let -2*m**2/9 + 5182*m/9 + 10372/9 = 0. Calculate m.
-2, 2593
Let x**5/4 - x**4/2 - 1065*x**3 + 60535*x**2/2 - 428941*x/4 + 78033 = 0. What is x?
-76, 1, 3, 37
Factor 28*j**2 - 1023292*j + 146184.
4*(j - 36546)*(7*j - 1)
Let 2*t**2/19 - 1342*t/19 + 58656/19 = 0. Calculate t.
47, 624
What is x in 7*x**5 + 239*x**4/4 - 4909*x**3/2 + 43691*x**2/4 + 6385*x + 875 = 0?
-25, -2/7, -1/4, 7, 10
Let -z**5/3 + 170*z**4/3 - 10828*z**3/3 + 316952*z**2/3 - 4181632*z/3 + 20139392/3 = 0. What is z?
14, 38, 52
Solve -2*a**5/5 + 266*a**4/5 + 1190*a**3 - 26674*a**2/5 + 34444*a/5 - 13984/5 = 0 for a.
-23, 1, 2, 152
Solve -2*l**4 - 10*l**3 + 188*l**2 + 1120*l = 0 for l.
-8, -7, 0, 10
Factor -3*m**2 + 1290*m + 31257.
-3*(m - 453)*(m + 23)
Suppose -3*c**4 - 342*c**3 - 987*c**2 + 1332*c = 0. What is c?
-111, -4, 0, 1
Solve d**3 - 4820*d**2 + 5856000*d - 115200000 = 0.
20, 2400
Factor -25*z**2 + 25175*z/2 - 3774.
-(5*z - 2516)*(10*z - 3)/2
Factor -4*h**2 + 101040*h + 202096.
-4*(h - 25262)*(h + 2)
Factor 14*x**4 - 2642*x**3 + 165942*x**2 - 3453030*x - 1000188.
2*(x - 63)**3*(7*x + 2)
Find k such that -159*k**2/8 - 81411*k/8 - 192 = 0.
-512, -1/53
Let -3*n**5/4 + 75*n**4/4 - 117*n**3 + 111*n**2 + 564*n - 576 = 0. What is n?
-2, 1, 4, 6, 16
Factor -3*a**4 + 9726*a**3 - 8290047*a**2 + 659948004*a - 13812495948.
-3*(a - 1578)**2*(a - 43)**2
Factor -k**2 - 21*k + 9396.
-(k - 87)*(k + 108)
Suppose -27*o**4 - 2277*o**3 + 6225*o**2 - 3387*o + 522 = 0. What is o?
-87, 1/3, 2
Factor -20*o**2 - 715855*o - 536880.
-5*(o + 35792)*(4*o + 3)
Find q such that -3*q**3 + 9519*q**2 + 47658*q + 38136 = 0.
-4, -1, 3178
Let -15*y**4 - 1587*y**3 + 378*y**2 + 6348*y - 1272 = 0. What is y?
-106, -2, 1/5, 2
Factor 3*r**3 - 129*r**2 + 1110*r - 1728.
3*(r - 32)*(r - 9)*(r - 2)
Factor 4*r**5 - 131956*r**4 + 1088340096*r**3 - 1088208144*r**2.
4*r**2*(r - 16494)**2*(r - 1)
Solve -372100*z**2/3 - 19520*z - 768 = 0.
-24/305
Solve -20*n**4 - 2805*n**3 + 16810*n**2 + 2805*n - 16790 = 0 for n.
-146, -1, 1, 23/4
Factor -2*r**2 - 210*r + 6500.
-2*(r - 25)*(r + 130)
What is w in -2*w**3/3 - 4*w**2/3 + 26*w - 48 = 0?
-8, 3
Let r**4/8 - 337*r**3/4 - 507*r**2/2 - 1015*r/4 - 677/8 = 0. Calculate r.
-1, 677
Find l, given that 2*l**4/5 + 714*l**3/5 - 6*l**2/5 - 2138*l/5 + 1428/5 = 0.
-357, -2, 1
What is q in -2*q**2/7 + 367992*q/7 - 52570 = 0?
1, 183995
Factor c**5 - 16561*c**4 + 68591518*c**3 - 205675198*c**2 + 205642081*c - 68541841.
(c - 8279)**2*(c - 1)**3
Solve i**2/4 + 102170*i = 0.
-408680, 0
Find q, given that -q**2/5 - 4198*q/5 + 4199/5 = 0.
-4199, 1
Factor -r**3 - 72895*r**2 + r + 72895.
-(r - 1)*(r + 1)*(r + 72895)
Factor -2*j**2/7 - 1696*j/7 - 359552/7.
-2*(j + 424)**2/7
Suppose 19*p**5 + 288*p**4/5 - 466*p**3/5 - 60*p**2 + 371*p/5 + 12/5 = 0. Calculate p.
-4, -1, -3/95, 1
Suppose -3*m**4 + 7254*m**3 - 4562643*m**2 + 214718400*m - 2628480000 = 0. What is m?
25, 1184
Factor u**4/4 + 245*u**3/4 + 839*u**2/2 + 714*u.
u*(u + 3)*(u + 4)*(u + 238)/4
Suppose -4*a**3 + 5540*a**2 - 60528*a + 98928 = 0. Calculate a.
2, 9, 1374
Let 2*v**4/5 + 948*v**3/5 - 13614*v**2/5 + 24376*v/5 - 11712/5 = 0. Calculate v.
-488, 1, 12
Let 4*x**4 - 1436*x**3 - 13143*x**2 - 38540*x - 36800 = 0. What is x?
-4, -5/2, 368
Factor 2*t**3 - 3796*t**2 - 22830*t - 34272.
2*(t - 1904)*(t + 3)**2
Solve 2*o**2/7 + 206*o/7 - 1080/7 = 0.
-108, 5
Let -p**4 + 34*p**3 - 108*p**2 - 360*p = 0. Calculate p.
-2, 0, 6, 30
Find a such that -2*a**2/9 + 249260*a/3 - 7766318450 = 0.
186945
Determine f, given that 3*f**3/5 + 1713*f**2/5 + 5118*f/5 + 3408/5 = 0.
-568, -2, -1
Let -k**2/8 + 25*k/4 - 49/8 = 0. What is k?
1, 49
Let 9*h**4/5 - 126858*h**3/5 + 169132*h**2/5 - 56376*h/5 = 0. Calculate h.
0, 2/3, 14094
Factor -5*k**2 + 42835*k - 42830.
-5*(k - 8566)*(k - 1)
Find q, given that 420*q**5 - 1284*q**4 - 2763*q**3 + 11712*q**2 - 8535*q + 450 = 0.
-3, 2/35, 1, 5/2
Suppose -3*y**2 - 3045*y + 214038 = 0. Calculate y.
-1081, 66
Determine f, given that 3*f**3 + 25509*f**2 + 54517920*f + 1240454400 = 0.
-4240, -23
Suppose -q**4 + 6204*q**3 - 31002*q**2 + 43396*q - 18597 = 0. What is q?
1, 3, 6199
Factor 2*o**4/5 + 391382*o**3/5 + 1174134*o**2/5 + 234826*o + 391376/5.
2*(o + 1)**3*(o + 195688)/5
Find x such that 112*x**5/3 + 4460*x**4 + 92152*x**3/3 - 55052*x**2 + 67576*x/3 - 2688 = 0.
-112, -9, 1/4, 2/7, 1
Solve -5*q**3 - 170*q**2 - 1125*q = 0 for q.
-25, -9, 0
Determine n, given that 2*n**5/7 + 36*n**4 - 512*n**3/7 = 0.
-128, 0, 2
Determine y so that -4*y**4/3 + 716*y**3/3 + 728*y**2 + 16*y/3 - 2912/3 = 0.
-2, 1, 182
Suppose 1753*a**2/2 + 49962*a + 171/2 = 0. What is a?
-57, -3/1753
Solve 3*i**2/4 + 87*i/4 - 45/2 = 0.
-30, 1
Determine f so that -f**4 + 8595*f**3 - 24616074*f**2 + 23467272292*f + 70623593688 = 0.
-3, 2866
Factor -u**5 + 150*u**4 + 612*u**3 + 616*u**2.
-u**2*(u - 154)*(u + 2)**2
Determine d so that -5202*d**3/5 + 188292*d**2/5 - 1703858*d/5 = 0.
0, 923/51
Factor -5*w**4 + 2670*w**3 - 469800*w**2 + 26244000*w + 174960000.
-5*(w - 180)**3*(w + 6)
Factor -5*p**3/3 + 137690*p**2/3 - 550700*p/3 + 183560.
-5*(p - 27534)*(p - 2)**2/3
Factor 3*k**3/4 - 7677*k**2/2 + 19645443*k/4.
3*k*(k - 2559)**2