 + 120 = 0. Calculate r.
1, 4, 10
Find g, given that 2*g**5 - 10*g**4 - 4*g**3 + 56*g**2 - 16*g - 64 = 0.
-2, -1, 2, 4
Factor -2*g**2/11 + 756*g/11 - 71442/11.
-2*(g - 189)**2/11
Factor 2*n**2/9 - 1862*n/9 + 620/3.
2*(n - 930)*(n - 1)/9
Determine z so that z**3 + 2*z**2 - 43*z + 40 = 0.
-8, 1, 5
Suppose -2*a**5/3 + a**4/3 + 7*a**3/3 + a**2/3 - 5*a/3 - 2/3 = 0. What is a?
-1, -1/2, 1, 2
Suppose 2*j**3/5 + 114*j**2/5 + 432*j/5 + 424/5 = 0. Calculate j.
-53, -2
Determine d so that 6*d**2/5 - 12*d/5 - 18 = 0.
-3, 5
What is b in -b**4 - 74*b**3 + 313*b**2 + 74*b - 312 = 0?
-78, -1, 1, 4
Suppose f**4 - 72*f**3 + 1144*f**2 + 5472*f + 5776 = 0. Calculate f.
-2, 38
Find t, given that -t**2/3 - 10*t/3 - 25/3 = 0.
-5
Solve -14*y**4 - 108*y**3 - 150*y**2 - 32*y + 24 = 0.
-6, -1, 2/7
Find s such that -28*s**5/9 - 1672*s**4/9 - 12440*s**3/3 - 40800*s**2 - 145500*s + 45000 = 0.
-15, 2/7
Let 2*f**3/19 - 10*f**2/19 - 16*f/19 + 24/19 = 0. Calculate f.
-2, 1, 6
Solve w**2 - 2*w = 0.
0, 2
What is c in 4*c**4 - 72*c**3 + 68*c**2 = 0?
0, 1, 17
Find q such that -q**2/3 + 4*q + 13/3 = 0.
-1, 13
Factor -5*x**3 - 205*x**2 - 2375*x - 5415.
-5*(x + 3)*(x + 19)**2
Let 5*h**3 - 1335*h**2 - 2690*h = 0. What is h?
-2, 0, 269
Factor 5*u**3 - 70*u**2 - 20*u + 280.
5*(u - 14)*(u - 2)*(u + 2)
Determine p so that -2*p**4/7 - 14460*p**3/7 - 34848600*p**2/7 - 27995042000*p/7 = 0.
-2410, 0
Suppose -i**5 - 2*i**4 + 140*i**3 - 242*i**2 - 2443*i + 2548 = 0. Calculate i.
-13, -4, 1, 7
Suppose -2*v**3/13 - 306*v**2/13 - 3124*v/13 = 0. Calculate v.
-142, -11, 0
Let 5*w**3 - 675*w**2 + 22440*w + 23120 = 0. What is w?
-1, 68
Determine j so that -j**2/5 - 283*j/5 + 284/5 = 0.
-284, 1
Suppose -2*v**5/3 - 40*v**4/3 - 146*v**3/3 + 36*v**2 + 240*v = 0. Calculate v.
-15, -4, -3, 0, 2
Suppose -5*m**2 + 33*m + 14 = 0. Calculate m.
-2/5, 7
Suppose 3*y**3 + 114*y**2 - 237*y + 120 = 0. What is y?
-40, 1
Factor -4*f**2 - 80*f + 1364.
-4*(f - 11)*(f + 31)
Factor 5*q**3 - 5*q**2 - 105*q + 225.
5*(q - 3)**2*(q + 5)
Factor 3*a**4/2 - 42*a**3 + 255*a**2/2 + 2601*a.
3*a*(a - 17)**2*(a + 6)/2
Solve -3*u**4/7 + 90*u**3/7 - 528*u**2/7 = 0 for u.
0, 8, 22
Find h such that -h**5 + 241*h**4 + 982*h**3 - 478*h**2 - 2949*h + 2205 = 0.
-3, 1, 245
Solve 16*k**5/3 + 196*k**4/3 + 160*k**3 + 44*k**2/3 - 592*k/3 - 48 = 0 for k.
-9, -2, -1/4, 1
Factor 16*y**3/9 + 35576*y**2/9 - 17791*y/9 + 2224/9.
(y + 2224)*(4*y - 1)**2/9
Factor 4*r**3/3 - 196*r**2/3 - 404*r/3 - 68.
4*(r - 51)*(r + 1)**2/3
Factor 5*u**4 + 20*u**3 - 95*u**2 + 70*u.
5*u*(u - 2)*(u - 1)*(u + 7)
Suppose 3*a**5 - 60*a**4 + 45*a**3 + 240*a**2 - 228*a = 0. What is a?
-2, 0, 1, 2, 19
Factor 3*q**3 - 69*q**2 + 408*q - 720.
3*(q - 15)*(q - 4)**2
Factor -4*n**2 - 14792*n - 13675204.
-4*(n + 1849)**2
Factor -3*l**2/8 - 1611*l/4 - 865107/8.
-3*(l + 537)**2/8
Find h, given that -2*h**5 + 4*h**4 + 52*h**3 + 112*h**2 + 94*h + 28 = 0.
-2, -1, 7
Factor -2*c**5 - 10*c**4 - 18*c**3 - 14*c**2 - 4*c.
-2*c*(c + 1)**3*(c + 2)
Let 2*l**2/5 - 48*l/5 + 88/5 = 0. What is l?
2, 22
Find p such that 4*p**2 - 196*p - 408 = 0.
-2, 51
Find m, given that 3*m**2/5 + 342*m/5 + 9747/5 = 0.
-57
Factor g**5/4 + 3*g**4/4 - 15*g**3/4 + 17*g**2/4 - 3*g/2.
g*(g - 1)**3*(g + 6)/4
Factor 2*y**4/3 + 32*y**3/3 + 160*y**2/3 + 256*y/3.
2*y*(y + 4)**2*(y + 8)/3
Factor 3*u**3/2 - 678*u**2 - 3*u/2 + 678.
3*(u - 452)*(u - 1)*(u + 1)/2
Factor -5*m**3 - 1680*m**2 - 5005*m - 3330.
-5*(m + 1)*(m + 2)*(m + 333)
Solve -5*c**4 + 30*c**3 + 915*c**2 - 3860*c + 3900 = 0.
-13, 2, 15
Factor 3*c**2 + 3*c - 330.
3*(c - 10)*(c + 11)
Find m, given that -2*m**2/11 + 580*m/11 - 578/11 = 0.
1, 289
What is n in -n**4 - 96*n**3 - 185*n**2 + 282*n = 0?
-94, -3, 0, 1
Factor -5*o**4 + 470*o**3 - 2240*o**2 + 1290*o + 4005.
-5*(o - 89)*(o - 3)**2*(o + 1)
What is y in 36*y**2 - 584*y + 128 = 0?
2/9, 16
Suppose 4*q**5 + 28*q**4 + 72*q**3 + 80*q**2 + 32*q = 0. What is q?
-2, -1, 0
Factor -2*x**2/3 - 3329*x + 4994/3.
-(x + 4994)*(2*x - 1)/3
Determine n so that -27*n**3 - 666*n**2 - 435*n - 72 = 0.
-24, -1/3
Solve -2*f**2 - 40*f - 200 = 0.
-10
Factor 25*o**3 - 385*o**2 - 700*o + 340.
5*(o - 17)*(o + 2)*(5*o - 2)
Determine q so that -q**5 + 2*q**4 + 5*q**3 - 6*q**2 = 0.
-2, 0, 1, 3
Factor 2*h**2/9 + 52*h/9 + 46/3.
2*(h + 3)*(h + 23)/9
Find g, given that -2*g**5/17 + 18*g**4/17 - 40*g**3/17 + 24*g**2/17 = 0.
0, 1, 2, 6
Factor 5*u**2 - 10*u - 15.
5*(u - 3)*(u + 1)
Find w such that 2*w**3/19 + 10*w**2/19 + 4*w/19 - 16/19 = 0.
-4, -2, 1
Factor r**2 + 281*r - 282.
(r - 1)*(r + 282)
Suppose -4*v**3/5 - 72*v**2/5 - 188*v/5 - 24 = 0. Calculate v.
-15, -2, -1
Find t such that -12*t**5/5 + 54*t**4/5 + 42*t**3 - 684*t**2/5 + 432*t/5 = 0.
-4, 0, 1, 3/2, 6
Find c, given that c**2 - 27*c - 58 = 0.
-2, 29
Find c, given that -4*c**3/7 + 44*c**2/7 + 928*c/7 + 880/7 = 0.
-10, -1, 22
What is x in 3*x**2/4 - 251*x = 0?
0, 1004/3
Find t such that 4*t**2/5 - 328*t/5 + 6724/5 = 0.
41
Solve 2*h**2/19 + 244*h/19 + 1170/19 = 0 for h.
-117, -5
Factor -h**4 + 36*h**3 - 484*h**2 + 2880*h - 6400.
-(h - 10)**2*(h - 8)**2
Suppose 2*l**2/3 + 454*l/3 - 152 = 0. Calculate l.
-228, 1
Determine t so that 16*t**5/7 - 260*t**4/7 + 128*t**3 - 976*t**2/7 + 192*t/7 = 0.
0, 1/4, 2, 12
Factor c**2/6 + c/2 - 5/3.
(c - 2)*(c + 5)/6
Factor 4*a**4/5 - 116*a**3 - 1764*a**2/5 - 1772*a/5 - 592/5.
4*(a - 148)*(a + 1)**3/5
Factor 2*o**2/9 + 976*o/9 - 1960/9.
2*(o - 2)*(o + 490)/9
What is t in 5*t**4/2 + 3*t**3/2 - 6*t**2 + 2*t = 0?
-2, 0, 2/5, 1
Determine t so that -6*t**4 + 4911*t**3 - 1006137*t**2 + 499389*t + 501843 = 0.
-1/2, 1, 409
Find m, given that 3*m**5 - 5*m**4 - 50*m**3 - 10*m**2 + 47*m + 15 = 0.
-3, -1, -1/3, 1, 5
What is j in 4*j**4/5 + 52*j**3/5 + 88*j**2/5 = 0?
-11, -2, 0
Factor -3*r**4/5 + 627*r**3/5 - 27552*r**2/5 - 112896*r.
-3*r*(r - 112)**2*(r + 15)/5
Suppose -5*l**4 - 40*l**3 + 100*l**2 = 0. What is l?
-10, 0, 2
Suppose 5*x**4 - 1555*x**3 - 4710*x**2 - 20*x + 6280 = 0. What is x?
-2, 1, 314
Factor t**2 - 22*t + 40.
(t - 20)*(t - 2)
Factor -5*p**2 - 515*p - 1010.
-5*(p + 2)*(p + 101)
Factor -4*i**2 + 2700*i - 2696.
-4*(i - 674)*(i - 1)
Factor -2*o**5 - 36*o**4 - 196*o**3 - 392*o**2 - 330*o - 100.
-2*(o + 1)**3*(o + 5)*(o + 10)
Find g, given that -2499*g**4 - 6720*g**3 + 12249*g**2 - 3570*g - 600 = 0.
-4, -2/17, 5/7
Find d such that 3*d**2 - 132*d + 1452 = 0.
22
Let b**5/2 + b**4 - 9*b**3 + 16*b**2 - 23*b/2 + 3 = 0. Calculate b.
-6, 1
Let 50*s**3 - 485*s**2 + 1145*s - 210 = 0. Calculate s.
1/5, 7/2, 6
Find q, given that 2*q**5/11 - 46*q**4/11 + 12*q**3 + 2356*q**2/11 - 9542*q/11 + 7098/11 = 0.
-7, 1, 3, 13
Factor -y**3/7 + 258*y**2/7 - 1520*y/7 + 288.
-(y - 252)*(y - 4)*(y - 2)/7
Factor 165*m**2 + 1488*m + 27.
3*(m + 9)*(55*m + 1)
What is i in -2*i**5/5 + 4*i**4/5 + 22*i**3/5 - 16*i**2/5 - 8*i + 32/5 = 0?
-2, 1, 4
Find n, given that 3*n**2 + 4698*n + 4695 = 0.
-1565, -1
Factor w**4/4 - w**3/4 - w**2 + w.
w*(w - 2)*(w - 1)*(w + 2)/4
Suppose -5*c**5 - 1090*c**4 - 59405*c**3 = 0. Calculate c.
-109, 0
Factor 2*s**5/5 + 8*s**4/5 - 28*s**2/5 - 34*s/5 - 12/5.
2*(s - 2)*(s + 1)**3*(s + 3)/5
Let 20*v**3 + 35*v**2 - 10*v = 0. What is v?
-2, 0, 1/4
Factor -4*k**3/3 - 49*k**2/6 - 35*k/3 - 4/3.
-(k + 2)*(k + 4)*(8*k + 1)/6
Determine x, given that 5*x**3/3 - 280*x**2 + 15680*x - 878080/3 = 0.
56
Factor w**4/9 - 51*w**3 + 17933*w**2/3 - 257645*w/9.
w*(w - 227)**2*(w - 5)/9
Suppose -4*s**2 - 720*s - 32400 = 0. Calculate s.
-90
Factor -2*o**2/13 + 670*o/13 - 2648/13.
-2*(o - 331)*(o - 4)/13
What is r in -4*r**3/9 + 856*r**2 - 5132*r/3 + 7696/9 = 0?
1, 1924
Factor 2*i**5/3 + 128*i**4/3 + 590*i**3/3.
2*i**3*(i + 5)*(i + 59)/3
Determine v so that -14*v**3/11 - 284*v**2/11 - 346*v/11 - 76/11 = 0.
-19, -1, -2/7
Suppose 8*q**5 - 1436*q**4/3 + 9120*q**3 - 175400*q**2/3 + 115000*q + 62500/3 = 0. Calculate q.
-1/6, 5, 25
Let -5*k**5/9 + 869*k**4/9 - 1547*k**3/9 - 181*k**2/9 + 1552*k/9 - 688/9 = 0. Calculate k.
-1, 4/5, 1, 172
Find m, given that -4*m**2 + 680*m - 28900 = 0.
85
Factor -5*a**5 - 215*a**4 - 3330*a**3 - 22960*a**2 - 65920*a - 46080.
-5*(a + 1)*(a + 8)**3*(a + 18)
Let 21*l**4 + 216*l**3 + 60*l**2 = 0. What is l?
-10, -2/7, 0
Suppose -8*z**5/5 - 36*z**4/5 - 8*z**3 - 12*z**2/5 = 0. What is z?
-3, -1, -1/2, 0
Find n such that -242*n**4/5 - 7392*n**3/5 + 2302*n**2 + 7908*n/5 + 1152/5 = 