*3/2 + 423*v**2/2 + 1539*v + 2220.
-3*(v - 148)*(v + 2)*(v + 5)/2
Factor g**2 - 1517*g - 24528.
(g - 1533)*(g + 16)
Factor -q**3 + 54842*q**2 - 329025*q + 493524.
-(q - 54836)*(q - 3)**2
Factor 5*t**3/3 - 1380*t**2 + 361660*t - 86825440/3.
5*(t - 338)**2*(t - 152)/3
Suppose -3*q**3 + 17856*q**2 + 71472*q = 0. Calculate q.
-4, 0, 5956
Factor 5*q**3 - 1621440*q**2 + 3242865*q - 1621430.
5*(q - 324286)*(q - 1)**2
Factor -4*a**2/7 + 158568*a/7 + 792940/7.
-4*(a - 39647)*(a + 5)/7
Suppose -6*s**5 + 292*s**4 + 11730*s**3 + 55160*s**2 + 48216*s - 60192 = 0. Calculate s.
-22, -3, 2/3, 76
Factor 2*c**4 + 448*c**3 - 492*c**2 - 9360*c + 20250.
2*(c - 3)**2*(c + 5)*(c + 225)
Factor j**2/10 - 2600*j + 16900000.
(j - 13000)**2/10
Solve n**3 - 379*n**2 + 38584*n - 496860 = 0.
15, 182
Determine r, given that 2*r**5 + 84*r**4 + 76*r**3 - 248*r**2 - 78*r + 164 = 0.
-41, -2, -1, 1
Factor -16*i**3 - 829*i**2 - 2231*i - 1274.
-(i + 2)*(i + 49)*(16*i + 13)
Factor 4*j**4 + 344*j**3 + 8100*j**2 + 20800*j - 352000.
4*(j - 5)*(j + 11)*(j + 40)**2
Determine v so that -v**4/2 + 369*v**3 - 127701*v**2/2 - 1580420*v - 1516200 = 0.
-21, -1, 380
Let 3*y**2/2 - 51*y/2 + 90 = 0. What is y?
5, 12
Find l such that 12*l**2/7 + 9560*l/7 - 3188/7 = 0.
-797, 1/3
Factor -4*w**2 - 8177408*w - 4179375099904.
-4*(w + 1022176)**2
Determine f so that -3*f**4 + 13116*f**3 - 261324*f**2 + 888000*f - 835584 = 0.
2, 16, 4352
What is y in 676*y**3 - 720148*y**2 + 192154368*y - 191434896 = 0?
1, 6918/13
What is a in -512*a**3 - 3264*a**2 - 3562*a - 210 = 0?
-5, -21/16, -1/16
What is o in 2*o**3 + 410*o**2 + 6172*o - 41360 = 0?
-188, -22, 5
Determine o, given that o**3/12 - 11*o**2/2 + 260*o/3 = 0.
0, 26, 40
Find b such that -2*b**3/5 - 152*b**2/15 + 342*b/5 - 868/15 = 0.
-31, 1, 14/3
Factor 3*c**2 - 23622*c + 47232.
3*(c - 7872)*(c - 2)
Determine l so that 4*l**3 - 3956*l**2 + 472028*l + 277099412 = 0.
-197, 593
Solve -5*x**2 - 23695*x = 0.
-4739, 0
Determine m so that -6*m**5 + 137*m**4 - 403*m**3 - 641*m**2 - 95*m = 0.
-1, -1/6, 0, 5, 19
Find v, given that -3*v**5/2 - 390*v**4 + 396*v**3 + 1167*v**2 - 3909*v/2 + 783 = 0.
-261, -2, 1
Factor 2*c**5/9 + 2*c**4/9 - 4*c**3/3.
2*c**3*(c - 2)*(c + 3)/9
Suppose -4*w**4/5 + 106*w**3/15 + 166*w**2/15 - 424*w/15 - 472/15 = 0. Calculate w.
-2, -1, 2, 59/6
Factor -h**2 - 18*h + 1600.
-(h - 32)*(h + 50)
Factor z**2 + 57*z + 162.
(z + 3)*(z + 54)
Factor 5*y**3 - 1085*y**2 - 13805*y + 14885.
5*(y - 229)*(y - 1)*(y + 13)
Suppose -5*x**2/6 + 227*x/2 - 1064/3 = 0. What is x?
16/5, 133
Determine w so that 20*w**2 - 2092*w + 2072 = 0.
1, 518/5
Let -2*u**5/3 - 28*u**4/3 + 1358*u**3/3 - 3848*u**2/3 + 840*u = 0. What is u?
-35, 0, 1, 2, 18
Factor 24*c**4 + 116*c**3 - 356*c**2 + 56*c.
4*c*(c - 2)*(c + 7)*(6*c - 1)
Let -2*k**3 + 2486*k**2 - 63622*k + 411346 = 0. What is k?
13, 1217
Let -q**3/4 - 35*q**2 + 47243*q/4 + 23691/2 = 0. What is q?
-298, -1, 159
Find x such that -x**3/2 - 6647*x**2 - 79721*x/2 + 46508 = 0.
-13288, -7, 1
Factor c**3/7 - 132*c**2/7 + 1004*c/7 - 1488/7.
(c - 124)*(c - 6)*(c - 2)/7
Factor -3*u**2 - 284628*u - 6751091532.
-3*(u + 47438)**2
Factor 2*h**5/9 - 42*h**4 + 376*h**3/9.
2*h**3*(h - 188)*(h - 1)/9
Let -2*w**4/5 - 254*w**3/5 - 5232*w**2/5 - 29664*w/5 = 0. What is w?
-103, -12, 0
Let -3*d**3/2 + 687*d**2 + 67965*d/2 + 399924 = 0. Calculate d.
-23, 504
Find h, given that 5*h**4/2 - 107*h**3 + 2005*h**2/2 + 1112*h = 0.
-1, 0, 16, 139/5
What is z in -z**2 + 472*z + 18833 = 0?
-37, 509
Factor -5*n**4 + 141260*n**3 - 992195030*n**2 - 78036968100*n - 1525922146125.
-5*(n - 14165)**2*(n + 39)**2
Suppose g**3/5 - 1103*g**2/5 + 60051*g + 431235 = 0. What is g?
-7, 555
Factor -5*k**3 + 31175*k**2 + 124765*k + 93585.
-5*(k - 6239)*(k + 1)*(k + 3)
Let 2*m**3/19 + 54*m**2/19 - 9530*m/19 + 28050/19 = 0. What is m?
-85, 3, 55
Determine d, given that -3*d**3 + 6333*d**2 - 37905*d + 31575 = 0.
1, 5, 2105
Factor -2*j**3 + 154*j**2 - 560*j - 1752.
-2*(j - 73)*(j - 6)*(j + 2)
Solve 2*h**4 + 66*h**3 - 702*h**2 - 16786*h - 65268 = 0.
-37, -7, 18
What is c in -4*c**5/7 + 36*c**4/7 + 24*c**3 - 256*c**2/7 - 384*c/7 = 0?
-4, -1, 0, 2, 12
Factor -p**4 + 372*p**3 - 34596*p**2.
-p**2*(p - 186)**2
Find q, given that -3*q**3/2 + 109149*q**2/2 - 496368720*q - 496423296 = 0.
-1, 18192
What is o in -o**4 - 1858*o**3 + 28068*o**2 - 50558*o + 24349 = 0?
-1873, 1, 13
Let -2*l**5/3 + 1322*l**4/3 + 3558*l**3 + 20086*l**2/3 - 10672*l/3 - 7136 = 0. What is l?
-4, -1, 1, 669
Factor -h**2/2 - 14103*h/2 + 7052.
-(h - 1)*(h + 14104)/2
Factor -3*w**3 - 801*w**2 + 9210*w + 10008.
-3*(w - 12)*(w + 1)*(w + 278)
Factor n**3/5 + 48533*n**2/5 + 117767751*n - 588887289/5.
(n - 1)*(n + 24267)**2/5
Let 10*f**5/21 + 1076*f**4/21 - 9722*f**3/21 + 2636*f**2/21 + 9712*f/21 - 3712/21 = 0. Calculate f.
-116, -1, 2/5, 1, 8
Determine r, given that -10*r**3/7 - 1324*r**2/7 + 31602*r/7 + 1836 = 0.
-153, -2/5, 21
Determine g, given that -2*g**5 + 3962*g**4 - 15814*g**3 - 3962*g**2 + 15816*g = 0.
-1, 0, 1, 4, 1977
Determine f so that 36*f**5 - 98280*f**4 + 196316*f**3 + 272776*f**2 + 65472*f = 0.
-2/3, -1/3, 0, 3, 2728
Factor -z**3 + 12015*z**2 + 48072*z + 48076.
-(z - 12019)*(z + 2)**2
What is x in 5*x**2 - 4270*x - 91875 = 0?
-21, 875
Factor -5*w**3 - 3045*w**2 - 99195*w - 830875.
-5*(w + 17)**2*(w + 575)
Factor 14*s**2 + 80644*s + 23040.
2*(s + 5760)*(7*s + 2)
Determine p so that 15*p**3 + 2669091*p**2 + 6405744*p + 2135244 = 0.
-177937, -2, -2/5
Factor 1900*y**3 + 11412*y**2 + 9572*y + 60.
4*(y + 1)*(y + 5)*(475*y + 3)
Suppose 3*f**5 - 22*f**4 + 20*f**3 + 120*f**2 - 128*f - 128 = 0. What is f?
-2, -2/3, 2, 4
Factor 5*u**4/4 - 15*u**3 + 235*u**2/4 - 75*u.
5*u*(u - 5)*(u - 4)*(u - 3)/4
Suppose -k**5/2 + 47*k**4 - 1166*k**3 + 6356*k**2 + 40960*k + 46400 = 0. Calculate k.
-2, 20, 58
Determine m so that 8*m**4 - 34676*m**3/3 + 12574228*m**2/3 - 35331884*m/3 - 2079364 = 0.
-1/6, 3, 721
Let -m**5/3 - 166*m**4/3 + 768*m**3 - 4106*m**2/3 + 1969*m/3 = 0. Calculate m.
-179, 0, 1, 11
Factor -4*a**2/7 + 23392*a/7 - 10020.
-4*(a - 5845)*(a - 3)/7
Suppose -12*x**2 + 7912*x/3 - 13952/3 = 0. Calculate x.
16/9, 218
What is h in -2*h**3/19 + 1564*h**2/19 - 314930*h/19 + 3557400/19 = 0?
12, 385
Solve -24*o**2 + 2565*o + 321 = 0.
-1/8, 107
Factor 2*p**3/9 - 5228*p**2/9 + 72310*p/3 - 252056.
2*(p - 2572)*(p - 21)**2/9
What is u in 28*u**4 + 96748*u**3 + 895752*u**2 - 716848*u - 275680 = 0?
-3446, -10, -2/7, 1
Factor 33*b**3 - 5256*b**2 + 231525*b - 1721250.
3*(b - 75)**2*(11*b - 102)
Solve -7442*o**2 + 599752*o - 12083528 = 0 for o.
2458/61
Factor 2*n**3/11 + 326*n**2/11 + 6672*n/11.
2*n*(n + 24)*(n + 139)/11
Solve 34*l**5/9 - 650*l**4/9 + 76*l**3/9 = 0.
0, 2/17, 19
Determine q, given that 2*q**3/5 + 48*q**2/5 - 322*q + 1320 = 0.
-44, 5, 15
Determine f so that -2*f**2/15 + 4826*f/15 + 21476 = 0.
-65, 2478
Find u, given that u**3/6 - 179*u**2/3 - 725*u/2 - 546 = 0.
-3, 364
Suppose -2*k**3/9 - 144782*k**2/9 + 289570*k/9 - 48262/3 = 0. What is k?
-72393, 1
Determine w so that -9*w**5 - 1827*w**4 + 3*w**3 + 1829*w**2/3 + 406*w/3 = 0.
-203, -1/3, 0, 2/3
Let 2*v**3/5 - 1982*v**2/5 + 64862*v + 17748910 = 0. What is v?
-139, 565
Factor 2*k**3 + 180*k**2 + 1578*k - 1760.
2*(k - 1)*(k + 11)*(k + 80)
Determine w, given that -12167*w**4/5 - 13892069*w**3/5 - 10867086*w**2/5 - 566892*w - 246456/5 = 0.
-1141, -6/23
Determine p, given that -p**3/2 + 11*p**2 + 18512*p + 1243840 = 0.
-104, 230
Factor 3*c**2/8 - 830091*c/4 + 229683689427/8.
3*(c - 276697)**2/8
Factor b**3 - 2285*b**2 + 4567*b - 2283.
(b - 2283)*(b - 1)**2
What is i in -4*i**4 + 47956*i**3 - 143855960*i**2 + 718368896*i - 861697536 = 0?
2, 3, 5992
Factor -z**2/2 + 4361*z - 95821/2.
-(z - 8711)*(z - 11)/2
Factor -3*p**2/5 - 47508*p/5 - 188084172/5.
-3*(p + 7918)**2/5
Let -105*u**5 - 172*u**4 + 139*u**3 + 130*u**2 + 8*u = 0. What is u?
-2, -4/7, -1/15, 0, 1
Factor -3*n**3 - 1185*n**2 - 16149*n - 56007.
-3*(n + 7)**2*(n + 381)
What is v in 5*v**5/4 + 15*v**4/2 + 5*v**3/4 - 30*v**2 + 20*v = 0?
-4, 0, 1
Suppose -363*j**3 + 16599*j**2 + 21567*j + 6909 = 0. What is j?
-7/11, 47
Find a, given that -14*a**4/11 - 54*a**3/11 - 34*a**2/11 + 6*a/11 = 0.
-3, -1, 0, 1/7
Factor 2*b**3 + 9992*b**2 + 515528*b + 6684288.
2*(b + 26)**2*(b + 4944)
What is x in -x**3/2 - 899*x**2/4 + 338*x - 4