 Calculate t.
-8, -2, 0
Suppose 2*p**4 - 26*p**3 + 94*p**2 - 118*p + 48 = 0. What is p?
1, 3, 8
Let -2*i**3 + 128*i**2 - 126*i = 0. What is i?
0, 1, 63
Factor -d**3 - 10*d**2 + 13*d + 22.
-(d - 2)*(d + 1)*(d + 11)
Factor l**3/4 - 3*l**2/2 + 5*l/4 + 3.
(l - 4)*(l - 3)*(l + 1)/4
Factor v**4/7 - 12*v**3/7.
v**3*(v - 12)/7
What is r in 3*r**2/4 - 603*r/4 - 1545/2 = 0?
-5, 206
Factor -5*i**4 + 170*i**3 - 1060*i**2 - 6650*i - 5415.
-5*(i - 19)**2*(i + 1)*(i + 3)
Determine x so that -x**5/4 - 9*x**4/4 - 21*x**3/4 - 19*x**2/4 - 3*x/2 = 0.
-6, -1, 0
Find w such that -w**3/2 + 29*w**2/2 + 289*w/2 + 259/2 = 0.
-7, -1, 37
Factor -4*o**4 + 4*o**3 + 200*o**2 + 192*o.
-4*o*(o - 8)*(o + 1)*(o + 6)
Factor 2*w**3/11 + 276*w**2/11 - 278*w/11.
2*w*(w - 1)*(w + 139)/11
Find k, given that -5*k**4 - 335*k**3 - 325*k**2 + 335*k + 330 = 0.
-66, -1, 1
Let 4*r**2 - 4*r - 24 = 0. Calculate r.
-2, 3
Factor -g**2 + 57*g.
-g*(g - 57)
Factor u**3/8 + 7*u**2/4 + 9*u/8 - 81/2.
(u - 4)*(u + 9)**2/8
Factor b**4 + 32*b**3/5 + 52*b**2/5 + 16*b/5.
b*(b + 2)*(b + 4)*(5*b + 2)/5
Factor 3*a**5 + 6*a**4 - 24*a**3 - 54*a**2 - 27*a.
3*a*(a - 3)*(a + 1)**2*(a + 3)
Suppose -o**5/2 - 2*o**4 - 3*o**3/2 + 2*o**2 + 2*o = 0. Calculate o.
-2, -1, 0, 1
Factor -4*m**4 + 36*m**3 + 44*m**2 - 36*m - 40.
-4*(m - 10)*(m - 1)*(m + 1)**2
Factor 98*i**4/23 - 1036*i**3/23 + 568*i**2/23 - 80*i/23.
2*i*(i - 10)*(7*i - 2)**2/23
Factor n**3/7 + 11*n**2.
n**2*(n + 77)/7
Suppose -20*z**4/17 - 1458*z**3/17 - 1300*z**2/17 - 288*z/17 = 0. What is z?
-72, -1/2, -2/5, 0
Factor 6*f**2/5 - 56*f/15 + 2/5.
2*(f - 3)*(9*f - 1)/15
Determine h, given that 4*h**3 - 1340*h**2 - 2692*h - 1348 = 0.
-1, 337
Factor -2*z**2 - 4*z + 6.
-2*(z - 1)*(z + 3)
Solve -6*h**4 + 27*h**3 + 15*h**2 = 0 for h.
-1/2, 0, 5
Factor -15*r**3 - 95*r**2 - 105*r - 25.
-5*(r + 1)*(r + 5)*(3*r + 1)
Factor -3*x**4 + 63*x**3 - 291*x**2 - 495*x + 726.
-3*(x - 11)**2*(x - 1)*(x + 2)
Factor 2*n**5/3 + 14*n**4/3 + 20*n**3/3 - 12*n**2 - 18*n + 18.
2*(n - 1)**2*(n + 3)**3/3
Let -l**4 + 2*l**3 + l**2 - 2*l = 0. Calculate l.
-1, 0, 1, 2
Factor 348*d**3 - 8*d**2.
4*d**2*(87*d - 2)
Factor y**3 - 165*y**2 + 323*y + 489.
(y - 163)*(y - 3)*(y + 1)
Let -w**3/8 + 73*w**2/4 - 1295*w/2 - 1369 = 0. What is w?
-2, 74
Find q, given that -2*q**3/13 - 4*q**2/13 + 690*q/13 + 2052/13 = 0.
-18, -3, 19
Factor -5*w**3 - 20*w**2 + 160*w.
-5*w*(w - 4)*(w + 8)
Factor 3*h**3 + 99*h**2 + 360*h + 348.
3*(h + 2)**2*(h + 29)
Suppose 2*u**5 + 12*u**4 + 6*u**3 - 20*u**2 = 0. What is u?
-5, -2, 0, 1
Suppose 2*l**3/7 - 6*l**2/7 - 2*l/7 + 6/7 = 0. What is l?
-1, 1, 3
Factor x**5 + 3*x**4 - 4*x**3.
x**3*(x - 1)*(x + 4)
Solve -245*v**5 - 1085*v**4 + 2150*v**3 - 940*v**2 + 120*v = 0.
-6, 0, 2/7, 1
Suppose 5*y**2 + 125*y + 630 = 0. What is y?
-18, -7
Find p such that -4*p**2 + 24*p - 32 = 0.
2, 4
Suppose -2*d**5 - 8*d**4 + 20*d**2 + 2*d - 12 = 0. Calculate d.
-3, -2, -1, 1
Factor 2*x**3/7 - 2*x**2 + 24*x/7.
2*x*(x - 4)*(x - 3)/7
Determine j, given that 13*j**3 + 222*j**2/7 + 12*j + 8/7 = 0.
-2, -2/7, -2/13
Solve k**5 - k**4 - 21*k**3 + 45*k**2 = 0.
-5, 0, 3
Let 125*g**5 + 130*g**4 - 370*g**3 - 140*g**2 + 245*g + 10 = 0. What is g?
-2, -1, -1/25, 1
Find m, given that 12*m**5 - 10*m**4 - 38*m**3 + 6*m**2 + 26*m + 4 = 0.
-1, -1/6, 1, 2
Factor -4*q**4/9 + 32*q**3/9 - 8*q**2 + 12.
-4*(q - 3)**3*(q + 1)/9
Factor -2*h**2/5 + 216*h/5 - 214/5.
-2*(h - 107)*(h - 1)/5
Suppose 4*t**2 + 34936*t = 0. Calculate t.
-8734, 0
Suppose m**3/4 - 11*m**2/2 + 21*m/4 = 0. What is m?
0, 1, 21
Factor x**2/3 - 11*x - 34/3.
(x - 34)*(x + 1)/3
Factor 2*o**4 + 2*o**3 - 74*o**2 + 70*o.
2*o*(o - 5)*(o - 1)*(o + 7)
Factor -3*h**2 + 9*h - 6.
-3*(h - 2)*(h - 1)
Factor 2*l**4/11 - 74*l**3/11 - 14*l**2 - 78*l/11.
2*l*(l - 39)*(l + 1)**2/11
Let 3*y**5 - 15*y**4 - 147*y**3 - 93*y**2 + 576*y + 540 = 0. What is y?
-3, -1, 2, 10
Determine h, given that 2*h**2/15 + 56*h/15 - 86 = 0.
-43, 15
Factor -3*x**3 - 105*x**2 - 693*x - 1215.
-3*(x + 3)*(x + 5)*(x + 27)
Factor -s**3/3 + 19*s**2 - 446*s/3 - 376.
-(s - 47)*(s - 12)*(s + 2)/3
Factor -5*w**4 - 120*w**3 - 270*w**2 + 920*w - 525.
-5*(w - 1)**2*(w + 5)*(w + 21)
Determine w, given that -w**3/3 + 4*w**2/3 + w - 6 = 0.
-2, 3
Factor 3*o**2 + 138*o + 135.
3*(o + 1)*(o + 45)
Factor -d**3/8 - 3*d**2/8 + 9*d - 22.
-(d - 4)**2*(d + 11)/8
Factor -2*x**2 - 424*x.
-2*x*(x + 212)
Factor l**2 + 2230*l + 1243225.
(l + 1115)**2
Find u such that 3*u**5/5 + 18*u**4/5 + 3*u**3/5 - 72*u**2/5 - 12*u = 0.
-5, -2, -1, 0, 2
Find y, given that 2*y**4 - 2*y**3 - 2*y**2 + 2*y = 0.
-1, 0, 1
Find q, given that q**5 + 15*q**4 + 22*q**3 - 60*q**2 - 104*q = 0.
-13, -2, 0, 2
Factor -f**4 - 10*f**3 - 24*f**2.
-f**2*(f + 4)*(f + 6)
Let -2*m**3/3 - 32*m**2/3 + 110*m/3 - 76/3 = 0. Calculate m.
-19, 1, 2
Find y, given that -y**3/4 + 531*y**2/2 + 2127*y/4 + 266 = 0.
-1, 1064
Solve 2*d**5/5 - 142*d**4/5 + 2726*d**3/5 - 7346*d**2/5 + 7072*d/5 - 2312/5 = 0 for d.
1, 34
Let h**3 + 5*h**2/3 - 118*h/3 - 40 = 0. Calculate h.
-20/3, -1, 6
Solve -2*m**5 - 710*m**4 - 100820*m**3 - 7158220*m**2 - 254116810*m - 3608458702 = 0.
-71
Solve 2*r**2 - 2668*r + 889778 = 0 for r.
667
Find r, given that -4*r**2 - 244*r = 0.
-61, 0
Factor 2*x**4/3 + 10*x**3 + 50*x**2 + 250*x/3.
2*x*(x + 5)**3/3
Factor 2*k**2 + 1632*k + 332928.
2*(k + 408)**2
Factor 4*o**3 + 36*o**2 + 96*o + 80.
4*(o + 2)**2*(o + 5)
Factor -v**3/4 + 23*v**2/4 - 43*v/4 + 21/4.
-(v - 21)*(v - 1)**2/4
Solve 3*h**4 + 102*h**3 + 375*h**2 + 456*h + 180 = 0.
-30, -2, -1
Solve z**3/3 - 11*z**2 + 167*z/3 - 45 = 0.
1, 5, 27
Factor 3*v**4 - 213*v**3 + 1206*v**2 - 2364*v + 1560.
3*(v - 65)*(v - 2)**3
Factor -g**2/2 - 27*g + 715/2.
-(g - 11)*(g + 65)/2
Factor -5*l**2/3 + 405*l + 8750/3.
-5*(l - 250)*(l + 7)/3
Find a, given that 4*a**3/7 - 12*a**2/7 - 40*a/7 = 0.
-2, 0, 5
Factor -5*b**3/3 - 14*b**2/3 - 13*b/3 - 4/3.
-(b + 1)**2*(5*b + 4)/3
Factor -13697378*h**2/5 - 20936*h/5 - 8/5.
-2*(2617*h + 2)**2/5
Factor -21*r**3 - 24*r**2 - 3*r.
-3*r*(r + 1)*(7*r + 1)
Determine d, given that -2*d**3 + 16*d**2 + 18*d = 0.
-1, 0, 9
Suppose -5*f**5 + 10*f**4 + 55*f**3 - 20*f**2 - 140*f - 80 = 0. Calculate f.
-2, -1, 2, 4
Factor -28*f**3 - 264*f**2 + 160*f.
-4*f*(f + 10)*(7*f - 4)
Determine n, given that -2*n**2/13 + 44*n/13 - 80/13 = 0.
2, 20
Determine v, given that v**4/8 - 2*v**3 - 55*v**2/8 - 19*v/4 = 0.
-2, -1, 0, 19
What is p in -p**4/4 - 67*p**3/2 + 687*p**2/4 - 277*p + 139 = 0?
-139, 1, 2
What is t in 11*t**4/8 - 119*t**3/8 + 33*t**2 - 31*t/2 - 4 = 0?
-2/11, 1, 2, 8
Factor -196*v**3 - 43792*v**2 + 25072*v - 3584.
-4*(v + 224)*(7*v - 2)**2
Factor 4*b**2 + 568*b + 20164.
4*(b + 71)**2
Factor 2*v**3/5 - 16*v**2 + 130*v - 300.
2*(v - 30)*(v - 5)**2/5
Factor -14*u**3 + 2040*u**2 - 74022*u - 21316.
-2*(u - 73)**2*(7*u + 2)
Factor 11*k**2/6 - 5*k/3 - 1/6.
(k - 1)*(11*k + 1)/6
Determine h so that -4*h**2 + 20848*h - 27164944 = 0.
2606
Factor -m**2 - 30*m.
-m*(m + 30)
Factor r**2/3 + 176*r + 23232.
(r + 264)**2/3
Factor s**2/5 - 418*s/5 + 249.
(s - 415)*(s - 3)/5
Determine m, given that -m**4/3 + 20*m**3/3 - 19*m**2/3 = 0.
0, 1, 19
Factor 2*d**4 - 2*d**3 - 18*d**2 - 22*d - 8.
2*(d - 4)*(d + 1)**3
Suppose 3*d**4 - 18*d**3 + 3*d**2 + 72*d + 48 = 0. What is d?
-1, 4
Factor 4*d**4 + 4*d**3 - 4*d**2 - 4*d.
4*d*(d - 1)*(d + 1)**2
Suppose u**4 + 42*u**3 - 3*u**2 - 124*u + 84 = 0. Calculate u.
-42, -2, 1
Factor -3*c**4 - 204*c**3 + 429*c**2 + 630*c.
-3*c*(c - 3)*(c + 1)*(c + 70)
Factor 5*x**5 + 20*x**4 - 80*x**3 - 320*x**2.
5*x**2*(x - 4)*(x + 4)**2
Let 2*h**5 + 20*h**4 - 22*h**3 - 184*h**2 + 344*h - 160 = 0. What is h?
-10, -4, 1, 2
Let -c**4 + 22*c**3 + 103*c**2 + 32*c - 156 = 0. Calculate c.
-3, -2, 1, 26
Factor -k**2 - 19*k - 70.
-(k + 5)*(k + 14)
Factor 2*z**2/9 + 632*z/9 + 49928/9.
2*(z + 158)**2/9
Determine m so that -252*m**5 + 1572*m**4 - 100*m**3 - 1620*m**2 + 352*m + 48 = 0.
-1, -2/21, 1/3, 1, 6
Suppose 4*d**4 + 84*d**3 - 4*d**2 - 84*d = 0. What is d?
-21, -1, 0, 1
Factor 18*l**4/5 - 56*l**3/5 + 12*l**2 - 24*l/5 + 2/5.
2*(l - 1)**3*(9*l - 1)/5
Determine g so that -g**5 - 75*g**4 + 394*g**3 - 480*g**2 = 0.
-80, 0, 2, 3
Solve -r**4/2 - 56*r**3 + 939*r**2/2 - 1251*r + 1080 = 0.
-120, 2, 3
Factor 2*u**2 + 426*u + 2484.
2*(u + 6)*(u + 207)
Factor 3*t**4/5 - 36*t**3/5 + 87*t**2/5 + 126*t/5.
3*t*(t - 7)*(t - 6)*(t