45*q**2 - 135*q - 270 = 0 for q.
-3, 2
Factor 5*o**4 + 1485*o**3 + 143925*o**2 + 4233415*o - 30909030.
5*(o - 6)*(o + 101)**3
Suppose -8*t**3/3 - 6*t**2 - 4*t - 2/3 = 0. Calculate t.
-1, -1/4
Factor 3*d**2 - 816*d + 813.
3*(d - 271)*(d - 1)
Let 5*k**4 + 120*k**3 + 490*k**2 + 240*k - 855 = 0. What is k?
-19, -3, 1
Factor 5*r**2 - 440*r - 445.
5*(r - 89)*(r + 1)
Let 3*a**3 + 123*a**2 + 120*a = 0. Calculate a.
-40, -1, 0
Solve 2*u**2/9 + 322*u = 0.
-1449, 0
Suppose -2*u**2/5 - 2144*u - 2872960 = 0. What is u?
-2680
Determine r, given that -r**2/4 + 91*r/4 - 45/2 = 0.
1, 90
What is s in 4*s**3 + 164*s**2 + 2108*s + 8092 = 0?
-17, -7
Factor -5*p**2 - 25*p + 30.
-5*(p - 1)*(p + 6)
Factor -4*m**2 - 6344*m - 6340.
-4*(m + 1)*(m + 1585)
Determine g, given that -4*g**3 + 44*g**2 + 208*g - 560 = 0.
-5, 2, 14
Find s, given that 3*s**4/5 + 883*s**3/5 + 1171*s**2/5 - 59*s - 586/5 = 0.
-293, -1, 2/3
Find b, given that 148*b**4 - 177*b**3 - 269*b**2 + 60*b + 4 = 0.
-1, -2/37, 1/4, 2
Factor -4*t**3 + 1660*t**2 - 3308*t + 1652.
-4*(t - 413)*(t - 1)**2
Factor -2*b**2/5 - 15744*b/5 - 30984192/5.
-2*(b + 3936)**2/5
Factor 4*r**4/5 - 28*r**3/5 + 8*r**2.
4*r**2*(r - 5)*(r - 2)/5
Solve 64*y**4 + 288*y**3 - 156*y**2 + 20*y = 0 for y.
-5, 0, 1/4
Factor -6*f**2/11 - 150*f/11 - 900/11.
-6*(f + 10)*(f + 15)/11
Solve 20*a**4/3 - 1192*a**3/3 - 2960*a**2/3 - 992*a/3 = 0 for a.
-2, -2/5, 0, 62
Determine u, given that -2*u**5 + 22*u**3 - 36*u**2 + 16*u = 0.
-4, 0, 1, 2
Solve -5*v**3 + 1710*v**2 + 3435*v + 1720 = 0.
-1, 344
What is q in 4*q**4/3 + 1528*q**3/3 + 150436*q**2/3 + 287264*q + 424128 = 0?
-188, -3
Solve 2*b**2/3 + 16*b/3 = 0 for b.
-8, 0
Factor n**2/11 + 18*n/11.
n*(n + 18)/11
What is z in 4*z**4/9 - 56*z**3/9 + 76*z**2/3 - 304*z/9 + 128/9 = 0?
1, 4, 8
Let -3*h**4 - 45*h**3 - 66*h**2 + 180*h + 312 = 0. What is h?
-13, -2, 2
Factor 15*l**3 - 51*l**2 - 132*l + 60.
3*(l - 5)*(l + 2)*(5*l - 2)
Let w**3/5 + 59*w**2/5 + 34*w + 112/5 = 0. Calculate w.
-56, -2, -1
Determine z, given that -z**5/2 - 3*z**4/2 - 3*z**3/2 - z**2/2 = 0.
-1, 0
Factor -c**2 - 100*c + 204.
-(c - 2)*(c + 102)
Suppose i**4/4 - 5*i**2/4 + 1 = 0. What is i?
-2, -1, 1, 2
Factor v**4/5 - 94*v**3/5 + 2113*v**2/5 + 4512*v/5 + 2304/5.
(v - 48)**2*(v + 1)**2/5
Solve 2*s**3/5 + 642*s**2/5 + 1278*s/5 + 638/5 = 0 for s.
-319, -1
Factor -41*b**3/4 - 43*b**2/4 - b/2.
-b*(b + 1)*(41*b + 2)/4
Determine g, given that -8*g**5/5 + 30*g**4 - 234*g**3/5 - 68*g**2/5 = 0.
-1/4, 0, 2, 17
Let -2*y**2/3 - 14*y - 36 = 0. What is y?
-18, -3
Factor 2*w**4 - 38*w**3 + 52*w**2 + 272*w.
2*w*(w - 17)*(w - 4)*(w + 2)
Factor -d**3/8 + 4233*d**2/8 - 5972763*d/8 + 2809189531/8.
-(d - 1411)**3/8
Suppose -n**5 + n**4 + 15*n**3 + 23*n**2 + 10*n = 0. What is n?
-2, -1, 0, 5
Let 3*d**3 - 255*d**2 - 3*d + 255 = 0. What is d?
-1, 1, 85
Suppose 2*g**2/13 + 1160*g/13 + 168200/13 = 0. Calculate g.
-290
Factor 2*n**5/3 + 2*n**4 - 8*n**3/3.
2*n**3*(n - 1)*(n + 4)/3
Solve 12*g**5/5 + 69*g**4/5 - 78*g**3 - 339*g**2/5 + 108*g/5 = 0 for g.
-9, -1, 0, 1/4, 4
Solve -a**5 + a**4 + 16*a**3 + 20*a**2 = 0 for a.
-2, 0, 5
Factor -2*q**3/3 + 112*q**2 - 6272*q + 351232/3.
-2*(q - 56)**3/3
What is w in -5*w**4 + 120*w**3 - 415*w**2 + 300*w = 0?
0, 1, 3, 20
What is v in -3*v**4 + 63*v**3 - 117*v**2 + 57*v = 0?
0, 1, 19
Let l**2/4 - 23*l/4 + 45/2 = 0. What is l?
5, 18
Factor -5*x**2/6 - 50*x + 305/6.
-5*(x - 1)*(x + 61)/6
Factor -452*m**2/7 + 446*m/7 + 6/7.
-2*(m - 1)*(226*m + 3)/7
Factor 5*h**4 - 20*h**3 - 95*h**2 - 70*h.
5*h*(h - 7)*(h + 1)*(h + 2)
Factor 2*j**3/5 + 526*j**2/5 - 426*j + 1602/5.
2*(j - 3)*(j - 1)*(j + 267)/5
Determine b so that b**3/3 - 9*b**2 + 17*b - 25/3 = 0.
1, 25
Find s, given that s**2 + s = 0.
-1, 0
Suppose -3*b**4/5 - 3*b**3/5 + 24*b**2/5 + 36*b/5 = 0. What is b?
-2, 0, 3
Factor -2*q**2/3 - 4*q/3 - 2/3.
-2*(q + 1)**2/3
Factor -10*n**3 - 5274*n**2 - 7368*n - 2104.
-2*(n + 1)*(n + 526)*(5*n + 2)
Factor -3*v**2 + 834*v - 831.
-3*(v - 277)*(v - 1)
Suppose -c**5/3 + 17*c**4/3 + 42*c**3 + 266*c**2/3 + 227*c/3 + 23 = 0. What is c?
-3, -1, 23
Determine i so that i**5 + 77*i**4/4 + 155*i**3/4 + 17*i**2/2 = 0.
-17, -2, -1/4, 0
Factor 15*f**3 + 1614*f**2 - 648*f.
3*f*(f + 108)*(5*f - 2)
Factor -4*i**2 - 48*i + 52.
-4*(i - 1)*(i + 13)
Determine f so that -2*f**4 + 68*f**3 - 46*f**2 - 644*f - 528 = 0.
-2, -1, 4, 33
Determine r, given that 5*r**4 - 495*r**3 + 12495*r**2 - 12005*r = 0.
0, 1, 49
What is r in 3*r**4/4 + 111*r**3/4 + 279*r**2/4 - 17319*r/4 - 17457/2 = 0?
-23, -2, 11
Factor -x**2/9 + 20*x/9 + 44/9.
-(x - 22)*(x + 2)/9
Find u such that 16*u**4 + 92*u**3 - 264*u**2 + 188*u - 32 = 0.
-8, 1/4, 1
Factor -3*p**3 - 123*p**2 - 540*p.
-3*p*(p + 5)*(p + 36)
Factor 4*v**2/11 + 122*v/11 - 62/11.
2*(v + 31)*(2*v - 1)/11
Solve 5*a**3 - 405*a**2 - 410*a = 0 for a.
-1, 0, 82
Factor m**3 - 15*m**2 + 75*m - 125.
(m - 5)**3
Determine l, given that 3*l**3/7 - 6*l**2/7 + 3*l/7 = 0.
0, 1
Suppose -2*t**4/3 - 8*t**3/3 - 2*t**2/3 + 4*t = 0. What is t?
-3, -2, 0, 1
Let -2*t**5 + 254*t**4 - 8180*t**3 + 6684*t**2 + 38934*t + 23814 = 0. Calculate t.
-1, 3, 63
Factor 7*s**3 - 459*s**2 + 7425*s + 3267.
(s - 33)**2*(7*s + 3)
Find l such that -5*l**5 + 5*l**4 + 25*l**3 - 25*l**2 - 20*l + 20 = 0.
-2, -1, 1, 2
Suppose -4*q**5 + 628*q**4 - 616*q**3 - 1248*q**2 = 0. Calculate q.
-1, 0, 2, 156
Suppose 3*o**3/4 + 681*o**2/2 - 8253*o/4 + 3105 = 0. What is o?
-460, 3
Suppose -1089*y**4/4 - 18843*y**3/4 + 6747*y**2/2 - 753*y + 54 = 0. Calculate y.
-18, 2/11, 1/3
Find i such that 2*i**5 - 286*i**4 + 10366*i**3 - 10082*i**2 = 0.
0, 1, 71
Factor 3*b**5 - 603*b**4 + 1194*b**3 + 6*b**2 - 1197*b + 597.
3*(b - 199)*(b - 1)**3*(b + 1)
What is v in 2*v**4 + 2*v**3 - 8*v**2 - 8*v = 0?
-2, -1, 0, 2
Solve 3*h**5/5 - 62*h**4/5 + 65*h**3 - 134*h**2 + 572*h/5 - 168/5 = 0 for h.
2/3, 1, 2, 3, 14
Factor -2*q**4 + 30*q**3 + 32*q**2.
-2*q**2*(q - 16)*(q + 1)
Factor k**4/6 - 4*k**3/3 + 10*k**2/3 - 8*k/3.
k*(k - 4)*(k - 2)**2/6
Solve u**4 + 8*u**3 + 14*u**2 - 8*u - 15 = 0.
-5, -3, -1, 1
Factor 3*i**4/2 + 45*i**3/2 + 111*i**2 + 198*i + 108.
3*(i + 1)*(i + 2)*(i + 6)**2/2
Let -30*r**4 + 86*r**3 + 42*r**2 - 86*r - 12 = 0. Calculate r.
-1, -2/15, 1, 3
Let 21*j**4/2 + 312*j**3 - 90*j**2 = 0. Calculate j.
-30, 0, 2/7
Factor 4*l**4 + 772*l**3 + 736*l**2 - 6192*l - 9216.
4*(l - 3)*(l + 2)**2*(l + 192)
Determine w, given that w**2/5 - 401*w/5 = 0.
0, 401
Factor 4*s**5 - 16*s**4 + 20*s**3 - 8*s**2.
4*s**2*(s - 2)*(s - 1)**2
Find q, given that -3*q**5/4 + 11*q**4/4 - 3*q**3/2 - 3*q**2 + 2*q = 0.
-1, 0, 2/3, 2
Factor -39*b**2 + 243*b - 54.
-3*(b - 6)*(13*b - 3)
Let -2*g**2 + 88*g - 86 = 0. What is g?
1, 43
Factor a**3 - 2*a**2 - 11*a + 12.
(a - 4)*(a - 1)*(a + 3)
Factor -4*a**3 - 24*a**2 - 36*a - 16.
-4*(a + 1)**2*(a + 4)
Determine b so that 4*b**2 + 9352*b - 9356 = 0.
-2339, 1
Factor -2*i**3/11 - 28*i**2/11 - 102*i/11 - 108/11.
-2*(i + 2)*(i + 3)*(i + 9)/11
Solve -68*w**2 - 1200*w + 432 = 0 for w.
-18, 6/17
Determine m so that -5*m**5 + 75*m**4 + 710*m**3 + 1320*m**2 = 0.
-4, -3, 0, 22
Factor -3*b**2/5 + 1542*b/5 - 198147/5.
-3*(b - 257)**2/5
Let -5*w**5 - 32*w**4 + 103*w**3 + 346*w**2 + 280*w + 64 = 0. Calculate w.
-8, -1, -2/5, 4
Factor 5*i**3 + 380*i**2 - 775*i + 390.
5*(i - 1)**2*(i + 78)
Factor 2*k**3/7 + 8*k**2/7 - 18*k/7 - 72/7.
2*(k - 3)*(k + 3)*(k + 4)/7
Find w, given that -3*w**3/7 - 15*w**2/7 + 51*w/7 + 9 = 0.
-7, -1, 3
Factor 2*n**5/15 + 3364*n**4/15 + 1881584*n**3/15 + 347441888*n**2/15 - 1412454368*n/15 + 1420034624/15.
2*(n - 2)**2*(n + 562)**3/15
Factor -5*a**4 - 210*a**3 - 2745*a**2 - 11340*a - 14580.
-5*(a + 3)**2*(a + 18)**2
Determine i so that -20*i**2 + 325*i - 80 = 0.
1/4, 16
Factor 4*a**3/3 + 128*a**2 + 3072*a.
4*a*(a + 48)**2/3
Factor 4*z**4/3 - 16*z**3/3 + 8*z**2/3 + 16*z/3 - 4.
4*(z - 3)*(z - 1)**2*(z + 1)/3
Determine x, given that 2*x**2/5 + 2*x = 0.
-5, 0
Let -p**3/2 - 205*p**2/2 + 311*p - 208 = 0. What is p?
-208, 1, 2
Let 2*k**3 + 2590*k**2 = 0. Calculate k.
-1295, 0
Factor 2*z**2/3 + 76*z/3 - 26.
2*(z - 1)*(z + 39)/3
Factor 2*o**2/23 - 1062*o/23 + 1060/23.
2*(o - 530)*(o - 1)/23
Suppose -21*t**5/5 + 2682*t**4/5 + 6249*t**3/5 - 1122*t**2/5 - 6228*t/5 - 312 = 0. What is t?
-2, -1, -2/7, 1, 130
Suppose t**3/6 - 2*t**2/3 - 238*t/3 + 784 = 0. Calculate t.
-24, 14
Factor 4*i**5 + 124*