0)*(m + 31)/6
Determine k so that 2*k**4/5 - 704*k**3/5 - 6*k**2/5 + 2116*k/5 - 1408/5 = 0.
-2, 1, 352
Suppose p**2/9 + 11968*p/3 - 395065/9 = 0. Calculate p.
-35915, 11
Factor 7*w**3/4 - 34*w**2 + 657*w/4 - 234.
(w - 13)*(w - 3)*(7*w - 24)/4
Factor q**4/4 + 51*q**3/4 + 116*q**2 + 231*q - 360.
(q - 1)*(q + 6)**2*(q + 40)/4
Find f, given that 2*f**2 - 21186*f + 359584 = 0.
17, 10576
Solve i**4 - 5*i**3 - 15*i**2 + 45*i + 54 = 0.
-3, -1, 3, 6
Let -5*m**4/4 - 27145*m**3/2 - 13570*m**2 + 27145*m/2 + 54285/4 = 0. What is m?
-10857, -1, 1
What is j in -3*j**2 + 234231*j - 234228 = 0?
1, 78076
Determine j so that 4*j**2 + 292400*j + 5343610000 = 0.
-36550
Solve d**3 + 413*d**2 + 28448*d + 28036 = 0.
-326, -86, -1
Solve i**3 - 12827*i**2 + 51296*i - 51292 = 0 for i.
2, 12823
Factor -w**3 + 177*w**2 - 1352*w.
-w*(w - 169)*(w - 8)
Factor y**3 - 1194*y**2 + 84891*y + 86086.
(y - 1118)*(y - 77)*(y + 1)
Factor 2*l**3/5 + 292*l**2 + 29734*l/5 - 31196/5.
2*(l - 1)*(l + 22)*(l + 709)/5
Determine x, given that 15*x**4 - 6125*x**3 + 8145*x**2 - 2035*x = 0.
0, 1/3, 1, 407
Find h such that -h**2 + 24*h - 128 = 0.
8, 16
Factor 3*g**3 + 492*g**2 - 2079*g - 10584.
3*(g - 7)*(g + 3)*(g + 168)
Find t, given that -3*t**3 - 25341*t**2 - 51894888*t + 6888673500 = 0.
-4286, 125
Factor -11*n**3 + 86*n**2/7 + 435*n/7.
-n*(n - 3)*(77*n + 145)/7
Solve 2*q**2/7 - 28334*q/7 + 141620/7 = 0.
5, 14162
Determine g, given that -3*g**5/8 - 1287*g**4/4 - 10263*g**3/8 - 1602*g**2 - 1281*g/2 = 0.
-854, -2, -1, 0
Suppose 2*t**2/5 + 74*t/5 - 1632 = 0. What is t?
-85, 48
Determine i, given that -i**4/3 - 7618*i**3/3 - 14516096*i**2/3 - 29001728*i/3 = 0.
-3808, -2, 0
Solve 7*h**3 + 8342*h**2 - 35872*h + 9568 = 0 for h.
-1196, 2/7, 4
Factor -4*d**3 + 9988*d**2 - 603880*d.
-4*d*(d - 2435)*(d - 62)
Let -49*s**3/3 + 7616*s**2/3 - 1079*s - 930 = 0. Calculate s.
-3/7, 6/7, 155
Find d, given that 3*d**2/4 - 285*d - 2925 = 0.
-10, 390
Find q such that -2716*q**5/3 - 50917*q**4/3 + 396007*q**3/3 - 708005*q**2/3 + 51619*q - 150 = 0.
-25, 2/679, 1/4, 3
Factor -4*d**2/5 - 832*d/5 + 2532/5.
-4*(d - 3)*(d + 211)/5
Factor -y**3/7 + 3991*y**2/7 - 3984*y.
-y*(y - 3984)*(y - 7)/7
Determine g, given that 3*g**5/4 - 45*g**4/4 - 129*g**3/4 + 453*g**2/4 + 63*g/2 - 102 = 0.
-4, -1, 1, 2, 17
Find z such that -4*z**2/5 + 96024*z/5 - 576288036/5 = 0.
12003
Let -8*r**4 - 76*r**3 - 52*r**2 + 376*r + 192 = 0. Calculate r.
-8, -3, -1/2, 2
Factor -t**5 + 14*t**4 - 21*t**3 - 216*t**2.
-t**2*(t - 9)*(t - 8)*(t + 3)
Factor 5*z**3 - 4675*z**2 + 1042040*z + 23990820.
5*(z - 478)**2*(z + 21)
Solve -3*q**5 + 33*q**4 + 45*q**3 - 465*q**2 - 402*q + 792 = 0 for q.
-3, -2, 1, 4, 11
Solve -x**5/5 + 832*x**4/5 - 170542*x**3/5 - 1045828*x**2/5 - 1576697*x/5 - 702244/5 = 0 for x.
-4, -1, 419
Find x, given that -x**5 - 336*x**4 + 8616*x**3 + 269120*x**2 + 1503600*x = 0.
-358, -10, 0, 42
Factor 10*p**2/3 + 12502*p - 142956.
2*(p + 3762)*(5*p - 57)/3
Determine g, given that -g**2/5 - 773837*g/5 - 773836/5 = 0.
-773836, -1
Factor t**2 - 132*t + 3395.
(t - 97)*(t - 35)
Factor 3*z**2 - 83556*z + 581800428.
3*(z - 13926)**2
Factor v**5/2 - 438*v**4 + 2616*v**3 - 5225*v**2 + 8703*v/2 - 1305.
(v - 870)*(v - 3)*(v - 1)**3/2
Factor 72*n**3 - 11812*n**2 + 12392*n - 652.
4*(n - 163)*(n - 1)*(18*n - 1)
Factor 4*o**4 + 4592*o**3 - 23044*o**2 + 18448*o.
4*o*(o - 4)*(o - 1)*(o + 1153)
Solve -25*y**4 - 10769*y**3 - 18864*y**2 + 5148*y = 0 for y.
-429, -2, 0, 6/25
Factor 4*x**3/5 + 1528*x**2/5 + 3044*x/5 + 304.
4*(x + 1)**2*(x + 380)/5
Determine v so that 8*v**3/3 - 1948*v**2/3 - 17104*v/3 - 2688 = 0.
-8, -1/2, 252
Find d such that -33*d**5 - 1513*d**4 - 15388*d**3 + 44464*d**2 + 46336*d + 6864 = 0.
-26, -22, -2/3, -2/11, 3
Determine h, given that 518420*h**4 + 40945520*h**3 + 117436665*h**2 - 2198925*h + 10260 = 0.
-76, -3, 3/322
Solve -3*s**2 + 19746*s + 435864 = 0.
-22, 6604
What is j in 2*j**2/3 - 2*j/3 - 1568 = 0?
-48, 49
Factor 4*x**4 - 29144*x**3 + 53114932*x**2 - 106142448*x + 53056656.
4*(x - 3642)**2*(x - 1)**2
Solve 114*u**4/7 - 1336*u**3 + 100192*u**2/7 - 290784*u/7 + 1440 = 0.
2/57, 6, 70
Let -66*p**2 + 2627*p - 3792 = 0. What is p?
3/2, 1264/33
Let -2*o**2/11 + 19064*o/11 - 10392 = 0. What is o?
6, 9526
Factor 2*i**2/17 - 15964*i/17 + 8442.
2*(i - 7973)*(i - 9)/17
Find o, given that -2*o**3/3 - 44*o**2/3 - 182*o/3 - 68 = 0.
-17, -3, -2
Solve 2*p**5/7 + 48*p**4/7 + 432*p**3/7 + 1836*p**2/7 + 3726*p/7 + 2916/7 = 0.
-9, -6, -3
Factor -4*x**3 + 89508*x**2 - 500774880*x + 500685376.
-4*(x - 11188)**2*(x - 1)
Factor -624*t**3/5 - 2596*t**2/5 - 2896*t/5 - 80.
-4*(t + 2)**2*(156*t + 25)/5
Factor -2*u**2/19 + 23272*u/19 - 69798/19.
-2*(u - 11633)*(u - 3)/19
Factor 2*y**3/11 - 6*y**2/11 - 236*y/11 + 240/11.
2*(y - 12)*(y - 1)*(y + 10)/11
Let 2*q**4/5 - 18*q**3/5 - 26*q**2/5 + 42*q + 216/5 = 0. What is q?
-3, -1, 4, 9
Determine u so that 2*u**5 - 106*u**4 + 764*u**3 + 19924*u**2 - 41726*u + 21142 = 0.
-11, 1, 31
Determine u so that -1145*u**4 + 169450*u**3 - 334005*u**2 + 164240*u + 1460 = 0.
-2/229, 1, 146
Factor k**2/5 - 6*k + 104/5.
(k - 26)*(k - 4)/5
Factor -5*x**2 - 42425*x + 127320.
-5*(x - 3)*(x + 8488)
Find h such that 2*h**2 - 242*h - 744 = 0.
-3, 124
Factor -u**2/2 + 872*u + 1745/2.
-(u - 1745)*(u + 1)/2
Suppose 4*m**4 - 12496*m**3 + 590196*m**2 + 1217896*m + 615200 = 0. Calculate m.
-1, 50, 3076
Factor -3*x**3 - 1524*x**2 + 18687*x - 17160.
-3*(x - 11)*(x - 1)*(x + 520)
Factor 3*g**5 - 378*g**4 + 2160*g**3 + 162*g**2 - 19683*g + 29160.
3*(g - 120)*(g - 3)**3*(g + 3)
Let -2*i**3 - 344*i**2 - 11094*i = 0. What is i?
-129, -43, 0
Find f such that 2*f**4 - 294*f**3 + 14052*f**2 - 224960*f + 211200 = 0.
1, 40, 66
Factor -2*n**2 + 1740*n + 785888.
-2*(n - 1198)*(n + 328)
Factor v**3/4 + 877*v**2/4 + 191843*v/4 - 192721/4.
(v - 1)*(v + 439)**2/4
Solve 2*a**2/11 + 1214*a/11 = 0 for a.
-607, 0
What is g in -8*g**3/3 + 1571*g**2/6 + 215*g - 99/2 = 0?
-1, 3/16, 99
What is m in -m**5 - 5*m**4 + 127*m**3 + 533*m**2 + 138*m - 792 = 0?
-12, -3, -2, 1, 11
Let 2*c**4/5 + 2912*c**3/5 + 6358*c**2 = 0. Calculate c.
-1445, -11, 0
Determine v so that 2*v**4/9 + 266*v**3/9 + 3610*v**2/3 + 13718*v = 0.
-57, -19, 0
Determine q so that -q**4 + 8942*q**3 - 26650140*q**2 + 26463583058*q + 26490242141 = 0.
-1, 2981
Find v, given that 56307*v**5 + 107682*v**4 - 1811580*v**3 - 5247432*v**2 + 470016*v - 10368 = 0.
-4, 6/137, 6
Factor 173*p**3/4 - 174*p**2 + 535*p/4 - 3.
(p - 3)*(p - 1)*(173*p - 4)/4
Solve -18*o**5/7 - 1472*o**4/7 - 7880*o**3/7 + 2400*o**2/7 + 43648*o/7 - 9728/7 = 0 for o.
-76, -4, 2/9, 2
Factor -135*t**4 + 134855*t**3 - 44900055*t**2 + 4981688325*t + 369260370.
-5*(t - 333)**3*(27*t + 2)
Factor 138*k**2 + 345963*k - 7521.
3*(k + 2507)*(46*k - 1)
What is y in 27*y**5 + 93669*y**4 + 114423*y**3 - 72861*y**2 - 114450*y - 20808 = 0?
-3468, -1, -2/9, 1
Suppose 2*i**5/13 - 72*i**4/13 - 1538*i**3/13 - 6368*i**2/13 - 9480*i/13 - 352 = 0. Calculate i.
-11, -2, -1, 52
Factor -s**2/4 + 1073*s/2 + 1074.
-(s - 2148)*(s + 2)/4
Factor -2*s**2/3 - 516248*s/3 - 33313999688/3.
-2*(s + 129062)**2/3
Find n such that -4*n**2/5 - 9052*n/5 - 580008/5 = 0.
-2197, -66
Let c**3/2 + 127*c**2/2 - 532*c + 1080 = 0. Calculate c.
-135, 4
Factor -3*l**2 - 14934*l - 193635.
-3*(l + 13)*(l + 4965)
Find f, given that f**2/3 + 10990*f/3 + 30195025/3 = 0.
-5495
What is b in 5*b**5 + 510*b**4 + 1480*b**3 - 510*b**2 - 1485*b = 0?
-99, -3, -1, 0, 1
Factor -i**4/2 + 3*i**3/2 + 99*i**2 - 540*i.
-i*(i - 12)*(i - 6)*(i + 15)/2
Factor 2*r**3/3 - 525*r**2 - 2366*r/3 - 263.
(r - 789)*(r + 1)*(2*r + 1)/3
Find v, given that 6*v**5/11 + 17016*v**4/11 + 16998*v**3/11 - 34020*v**2/11 = 0.
-2835, -2, 0, 1
Solve -n**2/3 + 90*n + 2800/3 = 0.
-10, 280
Let k**3/5 - 7*k**2/5 - 6*k = 0. What is k?
-3, 0, 10
Solve 12*l**5 - 59*l**4/3 - 190*l**3/9 + 185*l**2/9 + 82*l/9 - 8/9 = 0 for l.
-1, -4/9, 1/12, 1, 2
Factor -3*y**3/5 + 126*y**2/5 - 816*y/5.
-3*y*(y - 34)*(y - 8)/5
Determine x so that -2*x**5/7 + 94*x**4/7 + 122*x**3 + 1418*x**2/7 + 660*x/7 = 0.
-6, -1, 0, 55
Factor 2*m**3/7 - 752*m**2 + 3322792*m/7 + 187300256/7.
2*(m - 1342)**2*(m + 52)/7
Let j**4/6 + 296*j**3 - 1778*j**2/3 = 0. What is j?
-1778, 0, 2
Let 2*j**2/5 + 25592*j/5 + 5118 = 0. What is j?
-12795, -1
Factor -2*h**3/11 - 160868*h**2/11 - 321730*