 0, 2
Find c, given that 35*c**3 - 1615*c**2 + 1805*c - 225 = 0.
1/7, 1, 45
Find i such that 25*i**3/2 + 197*i**2/3 - 166*i/3 + 4 = 0.
-6, 2/25, 2/3
Let -14*o**4/17 - 172*o**3/17 - 342*o**2/17 - 224*o/17 - 40/17 = 0. What is o?
-10, -1, -2/7
Let -g**4/2 - 7*g**3/6 + 3*g**2 - 4*g/3 = 0. What is g?
-4, 0, 2/3, 1
Determine y so that y**2/3 - 3*y = 0.
0, 9
Factor -3*g**2/8 + 15*g/8 - 3/2.
-3*(g - 4)*(g - 1)/8
Determine t so that -128*t**3 - 1660*t**2 - 3788*t + 120 = 0.
-10, -3, 1/32
Factor 4*r**5/7 + 20*r**4/7 - 52*r**3/7 + 4*r**2.
4*r**2*(r - 1)**2*(r + 7)/7
Determine s so that -3*s**4 - 52*s**3 + 93*s**2 - 38*s = 0.
-19, 0, 2/3, 1
Factor -3*a**2/5 - 81*a/5 - 78/5.
-3*(a + 1)*(a + 26)/5
Factor -6*k**4 - 19*k**3 - 10*k**2.
-k**2*(2*k + 5)*(3*k + 2)
Factor 6*i**3 - 93*i**2.
3*i**2*(2*i - 31)
Factor 1210*a**2 + 1716*a + 3042/5.
2*(55*a + 39)**2/5
Suppose s**4/8 + 3*s**3 - 3*s**2/8 - 35*s/4 + 6 = 0. What is s?
-24, -2, 1
Factor -2*t**3 + 18*t**2 - 48*t + 40.
-2*(t - 5)*(t - 2)**2
Factor 6*a**4/5 + 11832*a**3/5 + 7781508*a**2/5 + 341866008*a + 1701560358/5.
6*(a + 1)*(a + 657)**3/5
Solve 4*d**4/5 - 636*d**3/5 + 4316*d**2/5 - 9156*d/5 + 5472/5 = 0.
1, 3, 152
Determine s so that -3*s**2/5 + 30*s - 792/5 = 0.
6, 44
Factor -2*w**3 + 86*w**2 - 838*w + 754.
-2*(w - 29)*(w - 13)*(w - 1)
Find b such that -4*b**3 + 4*b**2 + 40*b + 32 = 0.
-2, -1, 4
Factor -5*s**4/2 - 75*s**3/2 + 135*s**2.
-5*s**2*(s - 3)*(s + 18)/2
Suppose -g**5 - 899*g**4/5 - 8063*g**3 + 8999*g**2/5 + 8064*g - 1620 = 0. What is g?
-90, -1, 1/5, 1
Factor 2*o**4/23 - 16*o**3/23 + 42*o**2/23 - 36*o/23.
2*o*(o - 3)**2*(o - 2)/23
Find z such that -5*z**4 + 14*z**3 + 23*z**2 + 4*z = 0.
-1, -1/5, 0, 4
Factor -c**2 + 24*c + 1081.
-(c - 47)*(c + 23)
Find x such that -2*x**5 + 10*x**3 - 8*x = 0.
-2, -1, 0, 1, 2
Factor -k**5/11 + 5*k**4/11 - 8*k**3/11 + 4*k**2/11.
-k**2*(k - 2)**2*(k - 1)/11
Factor 3*a**2/7 + 39*a/7.
3*a*(a + 13)/7
Factor 3*y**4 + 24*y**3 + 15*y**2 - 42*y.
3*y*(y - 1)*(y + 2)*(y + 7)
Factor 2*y**3/7 - 18*y**2/7 + 48*y/7 - 32/7.
2*(y - 4)**2*(y - 1)/7
Factor -2*s**4 - 144*s**3 - 524*s**2 + 74448*s - 534578.
-2*(s - 11)**2*(s + 47)**2
Solve -x**3 + 135*x**2 + 273*x + 137 = 0.
-1, 137
Determine p, given that 5*p**3 + 4365*p**2 + 954840*p + 950480 = 0.
-436, -1
Find v such that -21*v**4 - 489*v**3 - 1902*v**2 + 1764*v + 648 = 0.
-18, -6, -2/7, 1
Determine p so that 5*p**5/3 - 94*p**4/3 + 52*p**3 - 50*p**2/3 - 17*p/3 = 0.
-1/5, 0, 1, 17
Determine b, given that 4*b**3/3 + 556*b**2/3 + 19040*b/3 - 19600/3 = 0.
-70, 1
Factor 4*l**5 + 224*l**4 + 3856*l**3 + 13760*l**2 - 108800*l + 128000.
4*(l - 2)**2*(l + 20)**3
Solve 2*q**5/11 - 140*q**4/11 + 2802*q**3/11 - 11392*q**2/11 - 14336*q/11 = 0 for q.
-1, 0, 7, 32
Factor h**4 + h**3 - 3*h**2 - h + 2.
(h - 1)**2*(h + 1)*(h + 2)
Factor -2*r**4/7 + 2*r**3/7 + 60*r**2/7 + 152*r/7 + 16.
-2*(r - 7)*(r + 2)**3/7
Factor 2*i**2/3 - 10*i - 32/3.
2*(i - 16)*(i + 1)/3
Factor -m**4/2 - 105*m**3/2 - 207*m**2/2 - 103*m/2.
-m*(m + 1)**2*(m + 103)/2
Find j such that 2*j**4 - 10*j**3 - 300*j**2 = 0.
-10, 0, 15
Factor k**3/5 - 13*k**2/5 - 29*k/5 - 3.
(k - 15)*(k + 1)**2/5
Factor -4*h**4 + 640*h**3 - 26848*h**2 + 99840*h - 97344.
-4*(h - 78)**2*(h - 2)**2
Factor 2*t**3 - 50*t**2 + 318*t - 270.
2*(t - 15)*(t - 9)*(t - 1)
Factor 2*o**2 + 1252*o - 2512.
2*(o - 2)*(o + 628)
Suppose -a**3 - 1710*a**2 - 731025*a = 0. Calculate a.
-855, 0
Find j such that 3*j**4/2 + 117*j**3/2 - 3*j**2/2 - 117*j/2 = 0.
-39, -1, 0, 1
Factor -3*o**4/5 + 9*o**3/5 - 6*o**2/5.
-3*o**2*(o - 2)*(o - 1)/5
Factor -h**2/2 - 71*h - 5041/2.
-(h + 71)**2/2
Let -u**5/2 - 3*u**4/2 + 25*u**3/2 - 25*u**2/2 - 12*u + 14 = 0. What is u?
-7, -1, 1, 2
Determine p, given that -2*p**4/5 + 2*p**3 - 8*p**2/5 = 0.
0, 1, 4
Find v, given that -v**4/2 + 4*v**3 + 6*v**2 - 72*v = 0.
-4, 0, 6
What is j in -2*j**5/9 + 2*j**4/3 + 10*j**3/9 - 2*j**2/3 - 8*j/9 = 0?
-1, 0, 1, 4
Factor 5*h**3 + 190*h**2 - 395*h + 200.
5*(h - 1)**2*(h + 40)
Suppose x**2/7 - 60*x/7 - 61/7 = 0. Calculate x.
-1, 61
Factor p**5/2 + 127*p**4/2 + 4331*p**3/2 + 18605*p**2/2.
p**2*(p + 5)*(p + 61)**2/2
Suppose -3*n**5/4 - 3*n**4/2 + 3*n**3/4 + 3*n**2/2 = 0. What is n?
-2, -1, 0, 1
Suppose -9*t**2 - 209*t - 46 = 0. What is t?
-23, -2/9
Factor -3*a**2 - 160*a - 6400/3.
-(3*a + 80)**2/3
Let 2*j**5 - 2*j**4 - 14*j**3 + 2*j**2 + 12*j = 0. What is j?
-2, -1, 0, 1, 3
Factor 2*u**4/21 + 116*u**3/21 - 118*u**2/21.
2*u**2*(u - 1)*(u + 59)/21
Solve 3*q**2/5 - 66*q/5 - 144/5 = 0 for q.
-2, 24
Solve 8*y**4/3 - 2950*y**3/3 - 6674*y**2/3 - 1484*y/3 = 0.
-2, -1/4, 0, 371
What is t in t**4 - 164*t**3 + 6387*t**2 + 27720*t + 21168 = 0?
-3, -1, 84
Suppose -2*c**2/9 + 124*c/9 + 130/3 = 0. Calculate c.
-3, 65
Factor i**5/3 - 8*i**4/3 + 25*i**3/3 - 38*i**2/3 + 28*i/3 - 8/3.
(i - 2)**3*(i - 1)**2/3
Solve o**3/2 - 13*o**2 + 45*o/2 + 36 = 0 for o.
-1, 3, 24
Determine c so that 3*c**3 + 21*c**2 + 24*c - 48 = 0.
-4, 1
Determine r, given that -r**4/6 - 10*r**3/3 + 59*r**2/3 - 86*r/3 + 25/2 = 0.
-25, 1, 3
Solve -3*g**4 + 75*g**3 - 69*g**2 - 75*g + 72 = 0.
-1, 1, 24
Let -12*d**4/5 - 9*d**3 - 48*d**2/5 - 9*d/5 + 6/5 = 0. What is d?
-2, -1, 1/4
Determine y so that 11*y**5 + 35*y**4 + 17*y**3 - 31*y**2 - 28*y - 4 = 0.
-2, -1, -2/11, 1
Factor 3*q**2 + 2076*q + 2073.
3*(q + 1)*(q + 691)
Solve -10*n**4 - 204*n**3 - 760*n**2 - 912*n - 256 = 0.
-16, -2, -2/5
Factor f**2/9 + 2*f/3 - 16/9.
(f - 2)*(f + 8)/9
Factor 14*s**2/9 - 106*s/9 - 16/3.
2*(s - 8)*(7*s + 3)/9
Factor j**2 - 590*j + 87025.
(j - 295)**2
Find o, given that 7*o**5 - 44*o**4 + 33*o**3 + 64*o**2 - 20*o = 0.
-1, 0, 2/7, 2, 5
Determine j so that -5*j**2/3 - 4930*j/3 - 1215245/3 = 0.
-493
What is r in -35*r**5 - 190*r**4 - 390*r**3 - 380*r**2 - 175*r - 30 = 0?
-2, -1, -3/7
Suppose -49*z**3/3 + 875*z**2 - 496*z + 212/3 = 0. Calculate z.
2/7, 53
Factor -r**2/4 + 7*r/4 + 36.
-(r - 16)*(r + 9)/4
Factor -2*a**3/7 + 40*a**2/7 - 200*a/7.
-2*a*(a - 10)**2/7
Determine w so that -w**2/6 - 68*w + 409/6 = 0.
-409, 1
Let -4*a**3 - 2308*a**2 - 334080*a - 331776 = 0. Calculate a.
-288, -1
Find h such that -8*h**3/3 - 196*h**2/3 - 1120*h/3 - 512/3 = 0.
-16, -8, -1/2
Factor x**3/2 + 7*x**2/2 - 15*x.
x*(x - 3)*(x + 10)/2
Determine v, given that 3*v**4 - 132*v**3 + 1302*v**2 + 3588*v - 4761 = 0.
-3, 1, 23
Determine z, given that -3*z**3/4 - 657*z**2/4 - 47961*z/4 - 1167051/4 = 0.
-73
Find i such that -4*i**4 + 812*i**3 + 3312*i**2 = 0.
-4, 0, 207
Find m, given that -3*m**2/2 + 27*m/2 = 0.
0, 9
Let -n**2/5 + 1/5 = 0. Calculate n.
-1, 1
Find z, given that -5*z**3 - 105*z**2 - 195*z - 95 = 0.
-19, -1
Let -a**5 - 10*a**4 + 53*a**3 - 46*a**2 - 52*a + 56 = 0. What is a?
-14, -1, 1, 2
Factor -27*s**2/5 + 21*s/5 + 306/5.
-3*(s + 3)*(9*s - 34)/5
Factor -80*k**3 + 650*k**2 - 65*k - 120.
-5*(k - 8)*(2*k - 1)*(8*k + 3)
What is u in -3*u**5 + 15*u**4 - 9*u**3 - 15*u**2 + 12*u = 0?
-1, 0, 1, 4
What is c in -2*c**4/5 - 8466*c**3/5 + 1694*c**2 + 8466*c/5 - 8468/5 = 0?
-4234, -1, 1
What is t in t**4/7 - 25*t**3/7 + 173*t**2/7 - 275*t/7 + 18 = 0?
1, 9, 14
Solve 4*m**3 - 112*m - 192 = 0.
-4, -2, 6
Factor s**5 - s**3.
s**3*(s - 1)*(s + 1)
Factor c**2/4 + 7*c + 45.
(c + 10)*(c + 18)/4
Determine k, given that 2*k**5/3 + 4*k**4/3 - 22*k**3/3 - 8*k**2 = 0.
-4, -1, 0, 3
Let 55*i**3 - 1295*i**2 + 690*i = 0. What is i?
0, 6/11, 23
Factor -g**4/3 + 50*g**3/3 + g**2 - 152*g/3 + 100/3.
-(g - 50)*(g - 1)**2*(g + 2)/3
Let 5*w**2 + 90*w + 225 = 0. What is w?
-15, -3
Factor -3*w**4/4 - 21*w**3 + 87*w**2/4.
-3*w**2*(w - 1)*(w + 29)/4
Let -4*f**5/5 + 12*f**4/5 - f**3/5 - 12*f**2/5 - 4*f/5 = 0. Calculate f.
-1/2, 0, 2
Factor -3*j**3/2 + 27*j**2/2 - 9*j - 84.
-3*(j - 7)*(j - 4)*(j + 2)/2
Let 2*k**2 - 16*k - 1218 = 0. What is k?
-21, 29
Factor -150*o**3 + 265*o**2 - 45*o - 70.
-5*(o - 1)*(5*o + 2)*(6*o - 7)
Factor m**5/3 - 304*m**4/3 - 1226*m**3/3 - 1844*m**2/3 - 1231*m/3 - 308/3.
(m - 308)*(m + 1)**4/3
Factor 2*c**3/7 + 2*c**2/7 - 10*c/7 + 6/7.
2*(c - 1)**2*(c + 3)/7
Factor -h**3/3 - 2*h**2.
-h**2*(h + 6)/3
Factor 9*c**2/5 + 12*c - 21/5.
3*(c + 7)*(3*c - 1)/5
Solve -w**4 - 60*w**3 + 459*w**2 - 670*w = 0.
-67, 0, 2, 5
Factor 12*g**3 - 33*g**2 - 45*g.
3*g*(g + 1)*(4*g - 15)
Suppose -2*x**5/17 + 254*x**4/17 - 250*x**3/17 - 254*x**2/17 + 252*x/17 = 0. Calculate x.
-1, 0, 1, 126
Factor -m**