 98*x**2 - 2401*x.
-x*(x + 49)**2
Determine u, given that -3*u**2/4 + 69*u/4 - 63/2 = 0.
2, 21
Solve 5*p**5/3 + 32*p**4/3 - 23*p**3 - 32*p**2/3 + 64*p/3 = 0 for p.
-8, -1, 0, 1, 8/5
Solve 5*n**5/4 - 49*n**4/2 - 775*n**3/4 - 366*n**2 - 117*n = 0 for n.
-3, -2/5, 0, 26
Solve -3*j**2/4 - 21*j/2 - 99/4 = 0 for j.
-11, -3
Factor 5*j**2 + 1110*j - 1115.
5*(j - 1)*(j + 223)
Factor 3*r**4/4 - 507*r**3/2 + 85683*r**2/4.
3*r**2*(r - 169)**2/4
Factor n**3/5 + 5*n**2 + 104*n/5 + 16.
(n + 1)*(n + 4)*(n + 20)/5
Let v**3/7 + v**2/7 = 0. What is v?
-1, 0
Factor 2*d**5 + 22*d**4 + 86*d**3 + 138*d**2 + 72*d.
2*d*(d + 1)*(d + 3)**2*(d + 4)
Factor 4*q**4 + 12*q**3 - 52*q**2 - 60*q.
4*q*(q - 3)*(q + 1)*(q + 5)
Solve w**3/7 + 5*w**2/7 + 4*w/7 = 0 for w.
-4, -1, 0
Factor 637*s**4/5 + 413*s**3/5 + 16*s**2 + 4*s/5.
s*(7*s + 2)**2*(13*s + 1)/5
Factor 2*i**2/7 + 82*i/7 - 264/7.
2*(i - 3)*(i + 44)/7
Let -2*u**4/11 - 34*u**3/11 - 114*u**2/11 - 134*u/11 - 52/11 = 0. What is u?
-13, -2, -1
Suppose 3*n**2 + 36*n + 81 = 0. What is n?
-9, -3
Let 90*u**4 + 1686*u**3 + 5140*u**2 - 28928*u - 12288 = 0. What is u?
-32/3, -2/5, 3
Solve -36*q**2 + 280*q + 704 = 0 for q.
-2, 88/9
Suppose -3*l**2 + 102*l = 0. Calculate l.
0, 34
Suppose -2*y**5/13 - 6*y**4/13 + 16*y**3/13 + 24*y**2/13 - 32*y/13 = 0. What is y?
-4, -2, 0, 1, 2
Suppose -147*a**5 - 7581*a**4 + 3348*a**3 + 3756*a**2 + 624*a = 0. Calculate a.
-52, -2/7, 0, 1
Factor -2*d**3/19 - 30*d**2/19 + 68*d/19.
-2*d*(d - 2)*(d + 17)/19
Let 2*r**4/3 - 2*r**2 + 4*r/3 = 0. Calculate r.
-2, 0, 1
Factor -5*g**5 - 15*g**4 + 5*g**3 + 55*g**2 + 60*g + 20.
-5*(g - 2)*(g + 1)**3*(g + 2)
Let v**2/3 + 128*v + 1520/3 = 0. Calculate v.
-380, -4
What is d in -2*d**4/11 + 78*d**3/11 - 356*d**2/11 + 552*d/11 - 272/11 = 0?
1, 2, 34
Factor 5*o**2 - 580*o + 1695.
5*(o - 113)*(o - 3)
Factor -2*g**4 + 898*g**3 + 2*g**2 - 898*g.
-2*g*(g - 449)*(g - 1)*(g + 1)
Factor -2*u**2/5 + 2172*u - 2948490.
-2*(u - 2715)**2/5
Factor -3*o**3 - 9*o**2 + 3*o + 9.
-3*(o - 1)*(o + 1)*(o + 3)
Let 5*q**5 + 13*q**4 - 66*q**3 - 236*q**2 - 136*q + 96 = 0. Calculate q.
-3, -2, 2/5, 4
Factor -5*r**2 - 85*r + 840.
-5*(r - 7)*(r + 24)
Let -137842*l**3/5 - 30258*l**2/5 - 2214*l/5 - 54/5 = 0. What is l?
-3/41
Factor -p**3 + 44*p**2 + 91*p + 46.
-(p - 46)*(p + 1)**2
Find k, given that 16*k**5/7 - 12*k**4/7 - 86*k**3/7 - 66*k**2/7 - 2*k/7 + 6/7 = 0.
-1, -1/2, 1/4, 3
What is t in t**3 - 180*t**2 + 8448*t - 30976 = 0?
4, 88
Find w such that -2*w**5/5 + 44*w**4 - 216*w**3/5 - 44*w**2 + 218*w/5 = 0.
-1, 0, 1, 109
Let -4*d**4 + 44*d**3 + 100*d**2 + 52*d = 0. What is d?
-1, 0, 13
Factor 5*o**2/3 - 32*o/3 + 4.
(o - 6)*(5*o - 2)/3
Determine m so that -5*m**5 - 15*m**4 + 5*m**3 + 35*m**2 - 20 = 0.
-2, -1, 1
Determine m so that 2*m**5 + 274*m**4/3 + 2108*m**3/9 + 212*m**2 + 230*m/3 + 86/9 = 0.
-43, -1, -1/3
Factor -b**5/4 - 9*b**4/4 - 15*b**3/2 - 23*b**2/2 - 33*b/4 - 9/4.
-(b + 1)**3*(b + 3)**2/4
Factor -2*y**3/5 - 18*y**2/5 - 52*y/5 - 48/5.
-2*(y + 2)*(y + 3)*(y + 4)/5
Factor -2*h**3/11 + 4*h**2/11 + 40*h/11 + 48/11.
-2*(h - 6)*(h + 2)**2/11
Factor -s**3/6 - 106*s**2/3 + 71*s/2.
-s*(s - 1)*(s + 213)/6
Factor -z**4/3 - 38*z**3/3 - 277*z**2/3 + 532*z - 588.
-(z - 2)**2*(z + 21)**2/3
Suppose l**3/3 - 31*l**2/3 + 191*l/3 - 161/3 = 0. What is l?
1, 7, 23
Let -4*i**2 + 240*i - 236 = 0. Calculate i.
1, 59
Factor -2*b**2/3 - 556*b/3 + 186.
-2*(b - 1)*(b + 279)/3
Let 2*c**3/3 - c**2/3 - c/3 = 0. Calculate c.
-1/2, 0, 1
Factor f**3/4 + 3*f**2 - 85*f/4.
f*(f - 5)*(f + 17)/4
Find v such that 2*v**5/17 - 88*v**4/17 + 1388*v**3/17 - 9240*v**2/17 + 22050*v/17 = 0.
0, 7, 15
Find i, given that -6*i**3/7 + 394*i**2 + 920*i/7 = 0.
-1/3, 0, 460
Factor -4*p**5 - 124*p**4 - 108*p**3 + 380*p**2 + 608*p + 240.
-4*(p - 2)*(p + 1)**3*(p + 30)
Factor x**2/5 - 3*x/5.
x*(x - 3)/5
Factor 4*m**2 - 292*m + 288.
4*(m - 72)*(m - 1)
Factor -c**2 + 264*c - 17424.
-(c - 132)**2
Factor -2*p**4/11 + 16*p**3/11 - 30*p**2/11.
-2*p**2*(p - 5)*(p - 3)/11
Find x such that 4*x**3 - 48*x**2 - 720*x + 1600 = 0.
-10, 2, 20
Factor -b**2/3 - 99*b - 294.
-(b + 3)*(b + 294)/3
Factor -s**3/8 + 3*s**2/8 + 13*s/8 - 15/8.
-(s - 5)*(s - 1)*(s + 3)/8
Let -t**4/4 + 575*t**3/4 - 1145*t**2/4 - 575*t/4 + 573/2 = 0. What is t?
-1, 1, 2, 573
Solve -2*f**4/7 - 52*f**3/7 - 142*f**2/7 - 92*f/7 = 0 for f.
-23, -2, -1, 0
Find i such that 35*i**3 + 570*i**2 - 4460*i - 1320 = 0.
-22, -2/7, 6
Solve -5*z**5 + 20*z**4 - 25*z**3 + 10*z**2 = 0.
0, 1, 2
Solve -21*f**2/4 - 687*f/4 + 99/2 = 0.
-33, 2/7
Factor -2*p**2/3 - 848*p/3 + 850/3.
-2*(p - 1)*(p + 425)/3
Factor -4*j**3/7 - 260*j**2/7 + 536*j/7.
-4*j*(j - 2)*(j + 67)/7
Factor -2*z**2 + 10638*z - 10636.
-2*(z - 5318)*(z - 1)
Let -2*p**5/15 + 2*p**4/15 + 8*p**3/15 - 8*p**2/15 = 0. What is p?
-2, 0, 1, 2
Factor f**4/8 + 5*f**3/4 - 3*f**2.
f**2*(f - 2)*(f + 12)/8
Factor -4*d**2 + 168*d + 1372.
-4*(d - 49)*(d + 7)
Find p, given that -2*p**4/5 - 4*p**3/5 + 4*p/5 + 2/5 = 0.
-1, 1
Factor 22*h**3/5 + 34*h**2/5 - 32*h/5 - 24/5.
2*(h - 1)*(h + 2)*(11*h + 6)/5
Suppose -2*d**2 + 3922*d + 3924 = 0. What is d?
-1, 1962
Determine q so that -3*q**2/5 - 204*q/5 - 396/5 = 0.
-66, -2
Factor -12*g**3/5 + 22*g**2 - 258*g/5 + 8.
-2*(g - 5)*(g - 4)*(6*g - 1)/5
Suppose j**3 - 5*j**2 - 13*j - 7 = 0. What is j?
-1, 7
Suppose -q**3/5 - 8*q**2/5 - q + 14/5 = 0. Calculate q.
-7, -2, 1
Factor a**5 - 32*a**4 + 313*a**3 - 926*a**2 + 1036*a - 392.
(a - 14)**2*(a - 2)*(a - 1)**2
Factor z**2/6 - 10*z + 58/3.
(z - 58)*(z - 2)/6
Determine m, given that 3*m**2/8 + 129*m/8 - 33/2 = 0.
-44, 1
Factor f**5/4 - 7*f**4/4 - 17*f**3/4 - 9*f**2/4.
f**2*(f - 9)*(f + 1)**2/4
Factor x**5/11 - 4*x**3/11 - 2*x**2/11 + 3*x/11 + 2/11.
(x - 2)*(x - 1)*(x + 1)**3/11
Solve -12*k**3 + 572*k**2 - 1460*k + 900 = 0 for k.
1, 5/3, 45
Factor 8*b**3 + 60*b**2 - 248*b - 480.
4*(b - 4)*(b + 10)*(2*b + 3)
Factor 2*z**4/3 - 244*z**3/3 + 6674*z**2/3 + 15616*z + 24576.
2*(z - 64)**2*(z + 3)**2/3
Solve 10*v**3/7 - 98*v**2 + 404*v/7 + 272/7 = 0 for v.
-2/5, 1, 68
Factor 5*f**5 + 30*f**4 - 40*f**3 - 30*f**2 + 35*f.
5*f*(f - 1)**2*(f + 1)*(f + 7)
Determine y so that 15*y**2/7 + 96*y/7 + 36/7 = 0.
-6, -2/5
Solve -2*n**3 + 122*n**2 - 2400*n + 14976 = 0.
13, 24
Factor 8*b**3/7 + 34*b**2/7 + 40*b/7 + 8/7.
2*(b + 2)**2*(4*b + 1)/7
Find j such that -4*j**3/5 - 64*j**2 = 0.
-80, 0
Factor -50*m**5/3 + 20*m**4 + 22*m**3/3 - 8*m**2 - 8*m/3.
-2*m*(m - 1)**2*(5*m + 2)**2/3
Let -t**5/3 + 81*t**4 - 14144*t**3/3 - 74900*t**2/3 - 40672*t - 61504/3 = 0. Calculate t.
-2, -1, 124
Factor -3*g**3/5 - 153*g**2/5 + 1578*g/5 - 504.
-3*(g - 7)*(g - 2)*(g + 60)/5
Find j such that -3*j**3 + 15*j**2 + 66*j + 48 = 0.
-2, -1, 8
Factor -4*s**3 + 4*s**2 + 8*s.
-4*s*(s - 2)*(s + 1)
Factor l**2/3 + 8*l + 119/3.
(l + 7)*(l + 17)/3
Solve -2*v**5 + 16*v**3 - 12*v**2 - 14*v + 12 = 0 for v.
-3, -1, 1, 2
Factor 3*g**2 + 72*g + 69.
3*(g + 1)*(g + 23)
What is h in 15*h**5 - 5*h**4 - 345*h**3 - 155*h**2 + 690*h - 200 = 0?
-4, -2, 1/3, 1, 5
Factor 15*c**3 + 66*c**2 + 69*c + 18.
3*(c + 1)*(c + 3)*(5*c + 2)
Let 2*i**4 + 220*i**3 + 1664*i**2 + 3264*i = 0. Calculate i.
-102, -4, 0
Suppose -5*u**4 - 50*u**3 + 55*u**2 = 0. What is u?
-11, 0, 1
Factor 2*k**3 - 2*k**2 - 32*k + 32.
2*(k - 4)*(k - 1)*(k + 4)
Determine o, given that -o**3/5 - 7*o**2/5 + 36/5 = 0.
-6, -3, 2
Determine j so that 2*j**5/17 + 5176*j**4/17 + 4463436*j**3/17 + 1281002680*j**2/17 - 1285471294*j/17 = 0.
-863, 0, 1
Suppose -4*l**4/5 + 24*l**3/5 + 208*l**2/5 + 168*l/5 - 396/5 = 0. What is l?
-3, 1, 11
Factor -g**4/6 + 47*g**3/3 - 1201*g**2/6 - 7896*g - 42336.
-(g - 56)**2*(g + 9)**2/6
Factor 3*c**5 + 24*c**4 + 6*c**3 - 96*c**2 + 63*c.
3*c*(c - 1)**2*(c + 3)*(c + 7)
Factor 5*p**4 - 9440*p**3 + 6683520*p**2 - 2103080960*p + 248163553280.
5*(p - 472)**4
Suppose 5*g**4 + 20*g**3 + 20*g**2 = 0. What is g?
-2, 0
Factor 2*h**4 - 22*h**3 + 66*h**2 - 74*h + 28.
2*(h - 7)*(h - 2)*(h - 1)**2
Suppose 2*v**4/5 - 12*v**3/5 - 32*v**2/5 = 0. What is v?
-2, 0, 8
Find w, given that 12*w**4/7 + 87*w**3/7 + 201*w**2/7 + 153*w/7 + 27/7 = 0.
-3, -1, -1/4
Factor -2*a**3/9 + 10*a**2/9 + 8*a/9 - 40/9.
-2*(a - 5)*(a - 2)*(a + 2)/9
Solve 2*h**3/3 - 2*h**2/3 - 54*h + 54 = 0 for h.
-9, 1, 9
Let 4*t**4 + 52*t**3 + 92*t**2 + 44*t = 0. What is t?
-11, -1, 0
Factor 2*h**2/7 - 30*h/7 + 4.
2*(h - 14)*(h