 - 300*u**2 + 1215*u/4 + 1205/2.
-5*(u - 2)*(u + 1)*(u + 241)/4
Let 54*r**4 - 192*r**3 + 512*r**2/3 = 0. Calculate r.
0, 16/9
Determine q, given that 2*q**2/5 - 146*q - 2208/5 = 0.
-3, 368
Suppose z**4/7 - 69*z**3/7 + 165*z**2 + 175*z = 0. What is z?
-1, 0, 35
Determine w so that 4*w**4 - 416*w**3 - 844*w**2 - 424*w = 0.
-1, 0, 106
Let 5*a**2 + 7045*a = 0. Calculate a.
-1409, 0
Factor -2*h**5 - 48*h**4 + 224*h**3.
-2*h**3*(h - 4)*(h + 28)
Find d such that -2*d**3 + 70*d**2 - 576*d - 648 = 0.
-1, 18
Let 3*m**3 + 7944*m**2 + 5250975*m - 10533750 = 0. Calculate m.
-1325, 2
Let 6*u**2/5 - 728*u/5 - 488/5 = 0. What is u?
-2/3, 122
Determine l, given that 2*l**5/5 + 32*l**4/5 + 146*l**3/5 + 36*l**2/5 - 648*l/5 + 432/5 = 0.
-6, 1
Suppose -2*h**4/7 - 6*h**3/7 + 12*h**2/7 + 16*h/7 = 0. Calculate h.
-4, -1, 0, 2
Factor 5*x**4 + 40*x**3 + 95*x**2 + 60*x.
5*x*(x + 1)*(x + 3)*(x + 4)
Determine v so that v**5/3 - v**4 - 64*v**3/3 + 76*v**2 + 96*v = 0.
-8, -1, 0, 6
Factor -3*k**3/7 + 6*k**2 - 9*k - 648/7.
-3*(k - 9)*(k - 8)*(k + 3)/7
Suppose 22707*d**2/7 - 1044*d/7 + 12/7 = 0. What is d?
2/87
Factor -2*l**3 - 94*l**2.
-2*l**2*(l + 47)
Find u, given that u**4 + 397*u**3 + 396*u**2 = 0.
-396, -1, 0
Factor -k**2/4 - k/4.
-k*(k + 1)/4
Factor 3*d**4 - 399*d**3 + 1179*d**2 - 1173*d + 390.
3*(d - 130)*(d - 1)**3
Factor -3*n**4 - 12*n**3 + 9*n**2 + 30*n - 24.
-3*(n - 1)**2*(n + 2)*(n + 4)
Find l, given that -3*l**2 - 291*l + 2862 = 0.
-106, 9
Factor -2*p**3 - 540*p**2 - 48600*p - 1458000.
-2*(p + 90)**3
Find h such that -4*h**4 + 208*h**3 - 196*h**2 - 408*h = 0.
-1, 0, 2, 51
Solve -3*h**2 + 30*h - 63 = 0.
3, 7
Determine o so that -o**5 + 4*o**4 - 3*o**3 - 4*o**2 + 4*o = 0.
-1, 0, 1, 2
Factor -2*d**2 + 12*d + 54.
-2*(d - 9)*(d + 3)
What is x in x**5/9 + x**4/9 = 0?
-1, 0
Factor -2*p**4 - 1308*p**3 - 213858*p**2.
-2*p**2*(p + 327)**2
Factor -4*s**3 + 160*s**2 + 516*s.
-4*s*(s - 43)*(s + 3)
Determine x, given that -2*x**5/3 + 17*x**4 - 403*x**3/3 + 1003*x**2/3 - 297*x + 242/3 = 0.
1/2, 1, 2, 11
What is d in -3*d**3 + 60*d**2 - 357*d + 660 = 0?
4, 5, 11
Find g such that g**4/2 + 7*g**3 + 30*g**2 + 52*g + 32 = 0.
-8, -2
Find q such that 168*q**5/5 + 548*q**4/5 + 464*q**3/5 + 76*q**2/5 - 8*q/5 = 0.
-2, -1, -1/3, 0, 1/14
What is g in g**4 - 77*g**3 + 150*g**2 = 0?
0, 2, 75
Suppose -4*x**3 + 1904*x**2 - 3796*x + 1896 = 0. What is x?
1, 474
Factor -p**3/11 - 2*p**2/11 + 279*p/11 - 1620/11.
-(p - 9)**2*(p + 20)/11
Factor -3*r**2/4 + 51*r - 585/4.
-3*(r - 65)*(r - 3)/4
Let -5*m**3 - 30*m**2 + 95*m + 120 = 0. What is m?
-8, -1, 3
Factor 5*s**5 + 30*s**4 - 125*s**3 + 90*s**2.
5*s**2*(s - 2)*(s - 1)*(s + 9)
Determine h so that -169*h**2/6 - 52*h - 24 = 0.
-12/13
Find m, given that m**3/7 - 78*m**2/7 + 63*m - 648/7 = 0.
3, 72
Solve z**4/5 + 14*z**3 + 69*z**2/5 = 0.
-69, -1, 0
Suppose d**4/4 - 717*d**3/4 + 171363*d**2/4 - 13651919*d/4 = 0. What is d?
0, 239
Find o, given that -o**3/3 + 112*o**2/3 + o/3 - 112/3 = 0.
-1, 1, 112
Let -4*p**4 - 8*p**3 + 8*p + 4 = 0. What is p?
-1, 1
Find y such that 1372*y**4 + 300664*y**3 - 258384*y**2 + 73888*y - 7040 = 0.
-220, 2/7
Let -4*t**4 + 284*t**3 - 824*t**2 + 544*t = 0. What is t?
0, 1, 2, 68
Factor -4*g**3 + 10*g**2 - 4*g.
-2*g*(g - 2)*(2*g - 1)
Factor 4*y**5 + 72*y**4 + 388*y**3 + 576*y**2 + 256*y.
4*y*(y + 1)**2*(y + 8)**2
Find o, given that o**2 - 144*o + 5184 = 0.
72
Let m**3/2 - 59*m**2 - 361*m/2 - 121 = 0. What is m?
-2, -1, 121
Let -3*m**5 - 114*m**4 - 1527*m**3 - 8760*m**2 - 22428*m - 21168 = 0. What is m?
-14, -4, -3
Factor 96*d**3 + 1821*d**2 - 57*d.
3*d*(d + 19)*(32*d - 1)
What is x in -2*x**4/9 + 368*x**3/9 - 5764*x**2/3 + 33488*x/9 - 16562/9 = 0?
1, 91
Factor 3*o**2 - 189*o + 366.
3*(o - 61)*(o - 2)
Factor 14*o**2/19 - 3350*o/19 + 956/19.
2*(o - 239)*(7*o - 2)/19
Factor -11*z**2 + 2550*z + 464.
-(z - 232)*(11*z + 2)
Find p such that 5*p**2 - 660*p + 21780 = 0.
66
Suppose -y**2/2 - 4*y - 7/2 = 0. What is y?
-7, -1
Factor -5*x**4 + 285*x**3 - 1320*x**2 + 1040*x.
-5*x*(x - 52)*(x - 4)*(x - 1)
Solve 4*c**2/5 - 4124*c/5 + 824 = 0.
1, 1030
Let 3*h**3/5 - 496*h**2/5 - 332*h/5 = 0. Calculate h.
-2/3, 0, 166
Determine r so that -2*r**2 - 10*r + 72 = 0.
-9, 4
Suppose 4*a**2 - 88*a - 192 = 0. Calculate a.
-2, 24
Determine x, given that -2*x**2/11 + 724*x/11 - 65522/11 = 0.
181
Find t such that -t**2/8 - 49*t/8 = 0.
-49, 0
Factor 3*x**4 + 33*x**3 - 231*x**2 + 171*x + 432.
3*(x - 3)**2*(x + 1)*(x + 16)
Factor 2*k**2/7 + 2228*k/7 + 620498/7.
2*(k + 557)**2/7
Factor -3*w**2 + 33*w - 72.
-3*(w - 8)*(w - 3)
Factor -3*p**4 - 13*p**3 - 4*p**2.
-p**2*(p + 4)*(3*p + 1)
Suppose -16*b**4/5 - 264*b**3/5 - 69*b**2 + 223*b/5 - 6 = 0. Calculate b.
-15, -2, 1/4
Let -2*l**3/9 + 4*l**2/3 = 0. Calculate l.
0, 6
Factor -5*r**4 + 185*r**3 - 1200*r**2 - 21760*r + 225280.
-5*(r - 16)**3*(r + 11)
Suppose -q**3/6 - 23*q**2/6 - 40*q/3 - 38/3 = 0. What is q?
-19, -2
Let 5*p**2 + 5600*p = 0. What is p?
-1120, 0
Factor 245*v**4 - 1260*v**3 + 745*v**2 + 1410*v + 360.
5*(v - 4)*(v - 2)*(7*v + 3)**2
Let k**2 + 8*k - 105 = 0. Calculate k.
-15, 7
Determine o, given that 16928*o**4/3 - 368*o**3/3 - 5642*o**2 + 368*o/3 - 2/3 = 0.
-1, 1/92, 1
Factor -2*h**5/7 - 68*h**4/7 - 752*h**3/7 - 3040*h**2/7 - 736*h - 448.
-2*(h + 2)**3*(h + 14)**2/7
Factor -2*i**4 + 1376*i**3 - 355008*i**2 + 40707584*i - 1750426112.
-2*(i - 172)**4
Let 2*y**3/3 - 16*y**2/3 - 2*y + 60 = 0. What is y?
-3, 5, 6
What is o in 5*o**3 + 25*o**2 - 125*o - 625 = 0?
-5, 5
Solve -147*j**3/4 + 7*j**2/3 + 19*j/12 - 1/6 = 0 for j.
-2/9, 1/7
Suppose 77*h**3 + 41*h**2 - 32*h + 4 = 0. Calculate h.
-1, 2/11, 2/7
Factor 4*p**5 - 32*p**4 + 88*p**3 - 112*p**2 + 68*p - 16.
4*(p - 4)*(p - 1)**4
Determine d, given that -d**3/3 - 152*d**2/3 + 1595*d/3 - 1350 = 0.
-162, 5
Factor -3*x**2 + 81*x - 276.
-3*(x - 23)*(x - 4)
Factor 6*d**4/5 - 174*d**3/5 + 168*d**2/5.
6*d**2*(d - 28)*(d - 1)/5
Factor -v**5/4 - 3*v**4/4 + v**3 + 4*v**2 - 4.
-(v - 2)*(v - 1)*(v + 2)**3/4
Find m such that -4*m**5 + 4*m**4 + 56*m**3 - 112*m**2 - 32*m + 128 = 0.
-4, -1, 2
Let -4*j**4/7 - 1132*j**3/7 - 3324*j**2/7 + 10060*j/7 - 800 = 0. What is j?
-280, -5, 1
Solve 55*b**4 + 158*b**3 - 27*b**2 - 18*b = 0.
-3, -3/11, 0, 2/5
Factor m**2 - 164*m + 6724.
(m - 82)**2
Determine r, given that -2*r**4/15 + 8*r**3/3 - 212*r**2/15 + 136*r/5 - 78/5 = 0.
1, 3, 13
Suppose -w**4 + 2*w**3 + 4*w**2 - 8*w = 0. Calculate w.
-2, 0, 2
Suppose -7*n**4/6 + 5*n**3/6 + 3*n**2/2 - 5*n/6 - 1/3 = 0. Calculate n.
-1, -2/7, 1
Factor 4*r**3/3 - 440*r**2/3 - 928*r.
4*r*(r - 116)*(r + 6)/3
Find z such that -7*z**3/3 - 16*z**2/3 + 17*z/3 + 2 = 0.
-3, -2/7, 1
Determine k, given that -2*k**3/7 + 40*k**2/7 + 88*k/7 = 0.
-2, 0, 22
Let u**4 + 704*u**3 + 1403*u**2 - 704*u - 1404 = 0. What is u?
-702, -2, -1, 1
Factor -3*g**2/4 + 3*g - 3.
-3*(g - 2)**2/4
Determine x, given that -5*x**4 + 175*x**3 - 1615*x**2 + 1445*x = 0.
0, 1, 17
Factor -y**4/8 + 37*y**3/4 - 323*y**2/2 - 361*y.
-y*(y - 38)**2*(y + 2)/8
Factor 4*z**5/9 - 4*z**4/3 + 4*z**3/3 - 4*z**2/9.
4*z**2*(z - 1)**3/9
Factor 3*c**2/7 + 51*c/7 - 54/7.
3*(c - 1)*(c + 18)/7
Let a**3/5 + 4*a**2/5 - a = 0. What is a?
-5, 0, 1
Factor -v**3/2 - 29*v**2/2 - 63*v - 72.
-(v + 2)*(v + 3)*(v + 24)/2
Factor j**2 - 294*j + 21609.
(j - 147)**2
Find q such that -3*q**3 - 45*q**2 + 282*q - 360 = 0.
-20, 2, 3
Let -3*y**5 - 822*y**4 - 58692*y**3 - 323112*y**2 + 25728*y + 1723776 = 0. What is y?
-134, -4, 2
Factor -3*q**3/4 + 39*q**2/4 + 45*q/2.
-3*q*(q - 15)*(q + 2)/4
Factor 2*s**4/7 - 20*s**3/7 + 8*s**2 - 48*s/7.
2*s*(s - 6)*(s - 2)**2/7
Find h such that 2*h**3 - 144*h**2 + 3240*h - 21600 = 0.
12, 30
Factor 2*i**2/5 + 34*i/5 + 24.
2*(i + 5)*(i + 12)/5
Let 3*x**5 + 36*x**4 + 105*x**3 - 36*x**2 - 108*x = 0. What is x?
-6, -1, 0, 1
Find a, given that 2*a**3 + 4*a**2 = 0.
-2, 0
Factor -5*j**4 - 6410*j**3 + 57960*j**2 - 174150*j + 174285.
-5*(j - 3)**3*(j + 1291)
Factor -4*a**4 - 48*a**3 + 52*a**2.
-4*a**2*(a - 1)*(a + 13)
Factor -4*z**3 + 176*z**2 - 172*z.
-4*z*(z - 43)*(z - 1)
Factor v**3/2 + 8101*v**2/2 + 16402499*v/2 - 16410601/2.
(v - 1)*(v + 4051)**2/2
Let g**2 - 33*g + 116 = 0. What is g?
4, 29
Factor 2*r**5/11 + 24*r**4/11 - 128*r**3/11.
2*r**3*(r - 4)*(r + 16)/11
Factor 2*f**2 + 8*f - 24.
2*(f - 2)*(f + 6)
Solve 5*b**2 - 255*b + 250 = 0.
1, 50
Factor 