*v*(v - 37)*(v + 1257)
Solve 9*h**4 + 1455*h**3 - 4941*h**2 + 1485*h = 0 for h.
-165, 0, 1/3, 3
Determine o, given that -5*o**3 + 2591415*o**2 - 335770289400*o - 335772880820 = 0.
-1, 259142
Determine z, given that -450*z**3/7 + 898530*z**2/7 + 239632*z/7 + 15976/7 = 0.
-2/15, 1997
Find n such that -7*n**3/10 - 729*n**2/5 + 1168*n + 1728/5 = 0.
-216, -2/7, 8
Factor g**3/7 + 207*g**2/7 + 9720*g/7 + 18900.
(g + 30)**2*(g + 147)/7
Find k such that 2*k**5/7 + 60*k**4/7 + 82*k**3/7 - 832*k**2/7 + 264*k/7 + 160 = 0.
-28, -5, -1, 2
Factor 4*s**4 - 296*s**3 + 6256*s**2 - 29976*s + 41292.
4*(s - 37)*(s - 31)*(s - 3)**2
Solve f**3/5 + 42*f**2/5 - 88*f/5 = 0.
-44, 0, 2
Factor 85*c**2/3 - 111665*c + 39410/3.
5*(c - 3941)*(17*c - 2)/3
Suppose 2*i**5/11 - 228*i**4/11 + 3596*i**3/11 + 144*i**2 - 23902*i/11 - 21660/11 = 0. Calculate i.
-2, -1, 3, 19, 95
Factor 5*j**4 + 400140*j**3 + 8005200830*j**2 - 16011602100*j + 8006001125.
5*(j - 1)**2*(j + 40015)**2
Solve -3*n**2 + 1019976*n - 86695920048 = 0.
169996
Let -5*c**2 - 170*c - 165 = 0. Calculate c.
-33, -1
Let -2*r**4/3 + 8*r**3/3 + 578*r**2/3 - 32*r/3 - 760 = 0. Calculate r.
-15, -2, 2, 19
Factor -2*o**4/21 + 262*o**3/21 + 9854*o**2/7 + 211926*o/7.
-2*o*(o - 209)*(o + 39)**2/21
Suppose n**3/3 - 3761*n**2/3 - 26384*n/3 + 10048 = 0. What is n?
-8, 1, 3768
Let 36*l**4/17 - 1118*l**3/17 - 3178*l**2/17 + 28692*l/17 - 1584/17 = 0. What is l?
-6, 1/18, 4, 33
Factor 4*b**2 + 1392*b - 1396.
4*(b - 1)*(b + 349)
Let 4*d**5/5 + 551*d**4/5 - 59418*d**3/5 + 1250884*d**2/5 - 309016*d/5 = 0. What is d?
-214, 0, 1/4, 38
Find g such that -4*g**4 + 51640*g**3 - 103252*g**2 - 154896*g = 0.
-1, 0, 3, 12908
Determine o, given that o**2/5 + 677*o - 23744/5 = 0.
-3392, 7
Find z such that -8*z**3 - 507*z**2 + 2156*z = 0.
-539/8, 0, 4
Suppose -111*f**5/5 - 27072*f**4/5 - 1649196*f**3/5 + 178608*f**2/5 = 0. What is f?
-122, 0, 4/37
Find j, given that -81*j**5/2 - 2313*j**4 - 19907*j**3 + 421040*j**2 + 969375*j/2 + 136125 = 0.
-33, -5/9, 10
Determine z so that -2*z**4/19 - 270*z**3/19 + 2634*z**2/19 + 6070*z/19 + 3168/19 = 0.
-144, -1, 11
Factor 5*c**2 + 297390*c + 4422040605.
5*(c + 29739)**2
Factor -3*o**3/2 + 18*o**2 - 351*o/8 - 507/8.
-3*(o + 1)*(2*o - 13)**2/8
Solve 486*t**5/7 - 30672*t**4/7 + 115944*t**3/7 + 124028*t**2/7 - 568110*t/7 - 198476/7 = 0.
-2, -1/3, 29/9, 59
Factor -3*j**3 - 741*j**2 + 16395*j + 100125.
-3*(j - 25)*(j + 5)*(j + 267)
Find c, given that -50*c**2 + 601*c - 12 = 0.
1/50, 12
Solve -11616528006*x**3 - 11616175998*x**2 + 1056016*x/3 - 8/3 = 0 for x.
-1, 2/132003
Determine p, given that -p**3/2 - 543*p**2/2 - 3973*p - 6864 = 0.
-528, -13, -2
What is k in -20*k**2 - 276204*k - 828432 = 0?
-69036/5, -3
Let -f**5 + 76*f**4 - 1187*f**3 + 3800*f**2 - 2688*f = 0. What is f?
0, 1, 3, 16, 56
Find a such that -15*a**2 + 1180060*a + 393355 = 0.
-1/3, 78671
Find u such that 2*u**2/9 + 18332*u/9 + 42007778/9 = 0.
-4583
What is k in k**4 - 819*k**3 - 5767*k**2 - 12381*k - 7434 = 0?
-3, -1, 826
Suppose -2*j**2/17 + 281682*j/17 + 281684/17 = 0. What is j?
-1, 140842
Factor -5*o**3 + 8530*o**2 - 34040*o.
-5*o*(o - 1702)*(o - 4)
Solve -k**2/3 + 5123*k - 15368/3 = 0 for k.
1, 15368
Find x such that -4*x**5 + 224*x**4 - 1584*x**3 + 2176*x**2 + 6400*x - 12288 = 0.
-2, 2, 4, 48
Factor -3*g**3 - 25032*g**2 + 100191*g + 125220.
-3*(g - 5)*(g + 1)*(g + 8348)
Let 4*g**3 + 212*g**2 + 784*g = 0. What is g?
-49, -4, 0
What is v in -v**4/6 + 101*v**3/6 - 490*v**2 + 6424*v/3 + 135520/3 = 0?
-7, 20, 44
Factor -b**5 - 182*b**4 - 2412*b**3 - 10184*b**2 - 17536*b - 10752.
-(b + 2)**3*(b + 8)*(b + 168)
Suppose -z**3/3 - 2268*z**2 - 3844224*z + 46457856 = 0. Calculate z.
-3408, 12
Factor 2*a**2/11 + 174652*a/11 + 3812915138/11.
2*(a + 43663)**2/11
Factor -5*h**3 - 105*h**2 + 4680*h + 104780.
-5*(h - 31)*(h + 26)**2
Factor a**2 + 14792*a - 29588.
(a - 2)*(a + 14794)
Let 17*c**5 - 682*c**4 + 3718*c**3 + 8956*c**2 + 3945*c - 594 = 0. Calculate c.
-1, 2/17, 9, 33
Let -2*y**2/13 + 272*y/13 + 4200/13 = 0. Calculate y.
-14, 150
Determine r, given that -3*r**4 + 75*r**3 - 93*r**2 - 1035*r = 0.
-3, 0, 5, 23
What is h in 4*h**3 + 18968*h**2 + 22486564*h = 0?
-2371, 0
Factor 24084*h**3 + 5280*h**2 - 16*h.
4*h*(9*h + 2)*(669*h - 2)
Factor 19*c**2/7 + 80*c/7 - 99/7.
(c - 1)*(19*c + 99)/7
Determine p so that -3*p**5 - 54*p**4 + 5589*p**3 - 62760*p**2 - 68400*p = 0.
-57, -1, 0, 20
Find q such that -4*q**3/5 + 1696*q**2/5 - 26368*q/5 + 104448/5 = 0.
8, 408
Factor 5*u**3 + 1105*u**2 + 56290*u - 57400.
5*(u - 1)*(u + 82)*(u + 140)
What is j in 3*j**2 + 4020*j + 71388 = 0?
-1322, -18
Determine v so that 3*v**5 - 15*v**4 - 1200*v**3 + 6000*v**2 = 0.
-20, 0, 5, 20
Let -z**2/3 - 955*z/3 - 4750/3 = 0. Calculate z.
-950, -5
Determine l so that l**2/7 + 85*l - 2396/7 = 0.
-599, 4
Factor 5*d**3 - 21220*d**2 + 22535625*d - 44986410.
5*(d - 2121)**2*(d - 2)
Solve -g**4 - 5434*g**3 - 7343904*g**2 + 103882464*g = 0.
-2724, 0, 14
Factor 4*o**4 - 63356*o**3 + 250842240*o**2 + 250905600*o.
4*o*(o - 7920)**2*(o + 1)
Determine a so that -2*a**2 + 814*a - 66080 = 0.
112, 295
Suppose -10*p**5 - 176*p**4 + 462*p**3 - 356*p**2 + 80*p = 0. What is p?
-20, 0, 2/5, 1
Factor x**3/2 - 131*x**2/2 - 561*x/2 + 2835/2.
(x - 135)*(x - 3)*(x + 7)/2
Determine t, given that -4*t**2/5 - 505248*t/5 - 1515708/5 = 0.
-126309, -3
Determine i so that -2*i**4/3 + 66*i**3 - 2018*i**2/3 - 20034*i - 249116/3 = 0.
-7, 31, 82
Solve -z**4 - 4876*z**3 - 8017152*z**2 - 4591040080*z - 240250674928 = 0.
-1606, -58
Factor w**2/7 + 2622*w/7 + 2621/7.
(w + 1)*(w + 2621)/7
Factor 25*r**3 + 3185*r**2 + 13455*r - 9225.
5*(r + 5)*(r + 123)*(5*r - 3)
Factor -2*i**3 - 90011*i**2 + 90013*i.
-i*(i - 1)*(2*i + 90013)
Factor 3*v**4 + 219*v**3 + 429*v**2 + 213*v.
3*v*(v + 1)**2*(v + 71)
Let -6*i**5 + 1383*i**4 - 81384*i**3 + 192195*i**2 + 158004*i - 116964 = 0. Calculate i.
-1, 1/2, 3, 114
Suppose 3*l**5/2 + 439*l**4/2 + 5337*l**3 - 21674*l**2 + 24324*l - 8208 = 0. Calculate l.
-114, -36, 2/3, 1, 2
What is v in -2*v**2 - 11836*v - 11834 = 0?
-5917, -1
Factor -m**3 + 19125*m**2 - 91374432*m - 640558492.
-(m - 9566)**2*(m + 7)
Find q, given that -3*q**2/4 + 909*q/2 + 2754 = 0.
-6, 612
Factor -2*c**2/11 + 3462*c/11 + 354632/11.
-2*(c - 1828)*(c + 97)/11
Let -3*l**3/5 + 3138*l**2/5 + 2523*l - 3150 = 0. Calculate l.
-5, 1, 1050
What is a in 28*a**3 - 6176*a**2 - 2668*a + 3536 = 0?
-1, 4/7, 221
Suppose 4*c**3 - 57004*c**2 + 683616*c - 2050416 = 0. What is c?
6, 14239
Factor -15*r**3 - 950*r**2 - 3015*r - 900.
-5*(r + 3)*(r + 60)*(3*r + 1)
Factor -3*i**2/4 - 33987*i/4 - 33981/2.
-3*(i + 2)*(i + 11327)/4
Suppose 2*m**5/13 + 798*m**4/13 + 79184*m**3/13 - 86376*m**2/13 - 630400*m/13 + 960000/13 = 0. What is m?
-200, -3, 2
Factor -2*k**2 - 73590*k + 73592.
-2*(k - 1)*(k + 36796)
Find a such that -2*a**5/9 + 62*a**4/9 + 214*a**3/9 - 334*a**2/9 - 212*a/9 + 272/9 = 0.
-4, -1, 1, 34
Suppose -2*p**4/3 + 5716*p**3/3 - 4095496*p**2/3 + 16307756*p/3 - 4072658 = 0. What is p?
1, 3, 1427
Factor -g**2 + 29995*g + 119996.
-(g - 29999)*(g + 4)
What is p in 2*p**5/19 + 19870*p**4/19 - 1046*p**3 - 19870*p**2/19 + 19872*p/19 = 0?
-9936, -1, 0, 1
Suppose -c**5 - 42*c**4 + 715*c**3 - 3728*c**2 + 7536*c - 4480 = 0. Calculate c.
-56, 1, 4, 5
Determine o, given that o**5/5 - 1343*o**4/5 - o**3 + 1343*o**2 + 4*o/5 - 5372/5 = 0.
-2, -1, 1, 2, 1343
Factor d**3/10 + 18742*d**2/5 + 74962*d/5 + 14992.
(d + 2)**2*(d + 37480)/10
Determine t, given that 4*t**3/7 - 464*t**2/7 - 10804*t/7 - 10336/7 = 0.
-19, -1, 136
Factor 2*k**3 - 188*k**2 + 3406*k - 3220.
2*(k - 70)*(k - 23)*(k - 1)
Let -3*d**2/4 - 47121*d/2 + 471285/4 = 0. What is d?
-31419, 5
Factor -4*g**3 - 772*g**2 - 2240*g + 7600.
-4*(g - 2)*(g + 5)*(g + 190)
Factor -2*h**4/5 - 174*h**3 + 35226*h**2/5 - 341506*h/5.
-2*h*(h - 19)**2*(h + 473)/5
Factor -4*l**2 - 23332*l - 46648.
-4*(l + 2)*(l + 5831)
Suppose -2*p**3 - 574640*p**2 - 1149272*p = 0. Calculate p.
-287318, -2, 0
What is p in -4*p**5 + 184*p**4 - 400*p**3 - 28128*p**2 - 109440*p = 0?
-6, 0, 20, 38
What is h in 2*h**5 - 12*h**4 + 24*h**3 - 20*h**2 + 6*h = 0?
0, 1, 3
Factor q**3/3 + 271*q**2 + 113207*q/3 + 37465.
(q + 1)*(q + 177)*(q + 635)/3
Find l, given that -2*l**3/5 + 202*l**2/5 - 5222*l/5 + 27342/5 = 0.
7, 31, 63
Solve 42*q**3 - 212*q**2 + 25