m**2 - 64*m.
4*m*(m - 8)*(m + 1)*(5*m + 2)
Factor t**2/4 - 53*t/2 + 105/4.
(t - 105)*(t - 1)/4
Factor o**3/3 + 8*o**2 - 307*o/3 - 110.
(o - 10)*(o + 1)*(o + 33)/3
Factor 5*w**2/2 + 55*w/2 + 25.
5*(w + 1)*(w + 10)/2
Let -2*s**3/13 - 32*s**2/13 - 128*s/13 = 0. Calculate s.
-8, 0
Let -2*h**5/7 + 12*h**4/7 - 16*h**3/7 - 12*h**2/7 + 18*h/7 = 0. What is h?
-1, 0, 1, 3
Let 4*q**4 + 16*q**3 + 16*q**2 = 0. What is q?
-2, 0
Suppose f**5/3 + 17*f**4 + 232*f**3 + 604*f**2/3 - 4160*f + 5376 = 0. What is f?
-24, -7, 2
Determine l, given that 2*l**5 + 40*l**4 - 234*l**3 + 392*l**2 - 200*l = 0.
-25, 0, 1, 2
Factor 4*f**4 + 768*f**3 + 760*f**2 - 768*f - 764.
4*(f - 1)*(f + 1)**2*(f + 191)
Suppose -t**5 + 5*t**4 - 3*t**3 - 13*t**2 + 8*t + 12 = 0. What is t?
-1, 2, 3
Find q such that 2*q**5/3 + 186*q**4 + 9986*q**3 - 1254958*q**2/3 + 3129280*q + 3557400 = 0.
-154, -1, 15
Find d, given that -6*d**5/5 + 15*d**4 + 213*d**3/5 + 177*d**2/5 + 9*d = 0.
-1, -1/2, 0, 15
Factor -h**3/2 + 71*h**2/2 - 635*h/2 + 1525/2.
-(h - 61)*(h - 5)**2/2
Factor 3*d**2 + 1890*d + 297675.
3*(d + 315)**2
Factor 16*t**4 + 100*t**3 - 212*t**2 + 96*t.
4*t*(t - 1)*(t + 8)*(4*t - 3)
Factor i**2/3 - 2378*i/3 + 1413721/3.
(i - 1189)**2/3
Factor -11*f**2/2 - 105*f - 19/2.
-(f + 19)*(11*f + 1)/2
Solve -7*a**5/4 + 99*a**4/2 + 147*a**3/4 - 29*a**2/2 = 0 for a.
-1, 0, 2/7, 29
Factor 12*n**3 + 20*n**2 - 104*n + 32.
4*(n - 2)*(n + 4)*(3*n - 1)
Factor -4*i**3/9 - 860*i**2/9.
-4*i**2*(i + 215)/9
Factor 2*c**3/5 - 134*c**2/5 + 388*c/5 - 256/5.
2*(c - 64)*(c - 2)*(c - 1)/5
Suppose 3*g**5 + 18*g**4 + 42*g**3 + 48*g**2 + 27*g + 6 = 0. Calculate g.
-2, -1
Suppose 2*s**3/3 + 46*s**2/3 + 86*s/3 + 14 = 0. What is s?
-21, -1
Let -2*q**4 - 18*q**3 - 48*q**2 - 40*q = 0. What is q?
-5, -2, 0
Suppose -2*b**5 + 80*b**4/7 + 66*b**3/7 - 268*b**2/7 + 88*b/7 + 48/7 = 0. Calculate b.
-2, -2/7, 1, 6
Determine m, given that 3*m**3/2 - 117*m**2 + 450*m - 444 = 0.
2, 74
Solve -4*h**2 - 12*h + 40 = 0.
-5, 2
Determine b, given that 2*b**2/13 - 900*b/13 + 898/13 = 0.
1, 449
Find o such that -2*o**4/5 - 63*o**3/5 + 99*o**2/5 - o/5 - 33/5 = 0.
-33, -1/2, 1
Factor -2*y**3 + 4*y**2 + 30*y - 72.
-2*(y - 3)**2*(y + 4)
Factor -h**2/3 + 17*h/3 - 52/3.
-(h - 13)*(h - 4)/3
Solve 39*u**3/4 + 297*u**2/4 + 87*u - 45 = 0 for u.
-6, -2, 5/13
Suppose 2*k**4 + 134*k**3 + 2022*k**2 - 7910*k - 9800 = 0. What is k?
-35, -1, 4
Factor -2*c**2/5 + 86*c - 3708/5.
-2*(c - 206)*(c - 9)/5
Solve -2*j**4/5 + 12*j**2/5 - 16*j/5 + 6/5 = 0 for j.
-3, 1
Suppose 3*q**4 + 72*q**3 + 342*q**2 - 1248*q - 1521 = 0. Calculate q.
-13, -1, 3
Factor -4*f**3 - 52*f**2 - 92*f - 44.
-4*(f + 1)**2*(f + 11)
Let -4*h**5 + 38*h**4 - 40*h**3 - 70*h**2 + 44*h + 32 = 0. Calculate h.
-1, -1/2, 1, 2, 8
Suppose -2*q**4/7 + 132*q**3/7 - 968*q**2/7 + 336*q - 1856/7 = 0. Calculate q.
2, 4, 58
Factor -g**5/3 + 10*g**4 - 341*g**3/3 + 1784*g**2/3 - 1344*g + 2560/3.
-(g - 8)**3*(g - 5)*(g - 1)/3
Factor -3*b**3/5 - 21*b**2/5 + 207*b/5 - 351/5.
-3*(b - 3)**2*(b + 13)/5
Factor r**3 + 133*r**2 - 1441*r - 1573.
(r - 11)*(r + 1)*(r + 143)
Let 15*c**5 + 48*c**4 - 24*c**3 - 192*c**2 - 144*c = 0. What is c?
-2, -6/5, 0, 2
What is n in 3*n**2 + 81*n = 0?
-27, 0
Suppose -3*g**5/4 - 63*g**4/4 - 165*g**3/4 - 45*g**2/4 + 42*g + 27 = 0. Calculate g.
-18, -2, -1, 1
Factor 2*p**4 - 12*p**3 - 16*p**2 + 12*p + 14.
2*(p - 7)*(p - 1)*(p + 1)**2
Solve -k**2/3 - 3*k + 286/3 = 0 for k.
-22, 13
Solve 5*r**2 - 310*r + 600 = 0.
2, 60
Factor g**5/3 - g**4/3 - 14*g**3/3 - 26*g**2/3 - 19*g/3 - 5/3.
(g - 5)*(g + 1)**4/3
Determine v, given that 3*v**4 + 1275*v**3 + 2541*v**2 + 1269*v = 0.
-423, -1, 0
Factor -u**4 + 2*u**3 + 27*u**2 + 52*u + 28.
-(u - 7)*(u + 1)*(u + 2)**2
What is o in -3*o**5 - 171*o**4/4 + 273*o**3/2 - 261*o**2/4 - 51*o/2 = 0?
-17, -1/4, 0, 1, 2
Factor 5*n**4 - 30*n**3 - 540*n**2 - 1890*n - 2025.
5*(n - 15)*(n + 3)**3
Factor v**2/5 + 49*v/5.
v*(v + 49)/5
Suppose -d**3/2 + 11*d**2/2 - 10*d - 16 = 0. What is d?
-1, 4, 8
Find h such that 5*h**4 + 5*h**3 - 50*h**2 + 40*h = 0.
-4, 0, 1, 2
Let 4*w**2 - 9012*w + 9008 = 0. Calculate w.
1, 2252
Factor 9*q**4 - 870*q**3 + 28224*q**2 - 313344*q + 196608.
3*(q - 32)**3*(3*q - 2)
What is y in 2*y**5/3 - 2*y**4/3 - 22*y**3/3 - 14*y**2/3 + 20*y/3 + 16/3 = 0?
-2, -1, 1, 4
Factor j**2/6 + 118*j/3.
j*(j + 236)/6
Solve 2*d**2/9 - 64*d/9 - 280/3 = 0 for d.
-10, 42
Determine d, given that -d**4 - 2*d**3 + 104*d**2 - 192*d = 0.
-12, 0, 2, 8
Determine g, given that 3*g**3 - 3*g**2 - 12*g + 12 = 0.
-2, 1, 2
Let -s**2/3 + 4328*s/3 - 4682896/3 = 0. Calculate s.
2164
Factor -28*p**2 - 200*p - 28.
-4*(p + 7)*(7*p + 1)
Factor 3*t**3/4 - 144*t**2 + 3375*t/4 - 2511/2.
3*(t - 186)*(t - 3)**2/4
Let -8*l**5/13 + 450*l**4/13 + 1758*l**3/13 + 2494*l**2/13 + 1554*l/13 + 360/13 = 0. What is l?
-1, -3/4, 60
Let -2*y**4/13 + 8*y**3/13 + 82*y**2/13 - 432*y/13 + 504/13 = 0. What is y?
-7, 2, 3, 6
Find a such that 5*a**2 - 910*a + 41405 = 0.
91
Determine o so that -3*o**3 + 807*o**2 = 0.
0, 269
Factor -5*o**2 + 12760*o - 8140880.
-5*(o - 1276)**2
What is p in -p**2/4 - 2*p + 33/4 = 0?
-11, 3
Suppose u**3/5 + 282*u**2/5 + 26508*u/5 + 830584/5 = 0. Calculate u.
-94
Determine u, given that -12*u**5 + 316*u**4 - 2312*u**3 + 1888*u**2 + 13440*u - 4608 = 0.
-2, 1/3, 4, 12
Find v, given that 2*v**2 + 30*v + 28 = 0.
-14, -1
Factor 3*g**3 - 498*g**2 + 2427*g - 1932.
3*(g - 161)*(g - 4)*(g - 1)
Solve -2*n**3 + 22*n**2 + 52*n = 0 for n.
-2, 0, 13
Solve w**3 + 117*w**2 + 1680*w + 6464 = 0.
-101, -8
Find i, given that -6*i**4/5 + 48*i**3/5 - 126*i**2/5 + 132*i/5 - 48/5 = 0.
1, 2, 4
Factor 1324*s**2 + 1288*s - 36.
4*(s + 1)*(331*s - 9)
Suppose -f**2 - 626*f - 97969 = 0. What is f?
-313
Suppose -u**2/2 + 77*u - 153/2 = 0. Calculate u.
1, 153
Determine b, given that b**3 - 12*b**2 - 13*b = 0.
-1, 0, 13
Find d, given that d**3/2 + 253*d**2/2 + 7808*d - 24576 = 0.
-128, 3
Find d such that -4*d**3 + 656*d**2 + 3364*d + 2704 = 0.
-4, -1, 169
Factor -q**3 - 26*q**2 + 55*q - 28.
-(q - 1)**2*(q + 28)
Factor 2*b**4 + 42*b**3 + 146*b**2 + 174*b + 68.
2*(b + 1)**2*(b + 2)*(b + 17)
Factor t**4/2 + 365*t**3/2 + 22143*t**2 + 885598*t - 907924.
(t - 1)*(t + 122)**3/2
Let -3*j**4 - 33*j**3 - 123*j**2 - 183*j - 90 = 0. What is j?
-5, -3, -2, -1
Suppose -n**2/4 + 245*n/4 + 247/2 = 0. Calculate n.
-2, 247
Let -5*t**2/4 + 1245*t/4 - 310 = 0. Calculate t.
1, 248
Solve d**3 - 402*d**2 = 0 for d.
0, 402
Find a such that a**4/10 - 13*a**3/10 + 31*a**2/5 - 64*a/5 + 48/5 = 0.
2, 3, 4
Suppose 3*v**5 + 3*v**4 - 33*v**3 - 87*v**2 - 78*v - 24 = 0. What is v?
-2, -1, 4
Factor -4*y**2/7 - 4*y/7 + 624/7.
-4*(y - 12)*(y + 13)/7
Factor -28*c**2/3 + 103*c/3 - 8.
-(4*c - 1)*(7*c - 24)/3
Factor 10*s**2 + 835*s + 415.
5*(s + 83)*(2*s + 1)
Let 5*s**5 - 30*s**4 + 40*s**3 + 30*s**2 - 45*s = 0. What is s?
-1, 0, 1, 3
Solve -c**5/2 - 5*c**4/4 + 5*c**2/4 + c/2 = 0 for c.
-2, -1, -1/2, 0, 1
Suppose -4*a**4 - 48*a**3 - 36*a**2 + 88*a = 0. Calculate a.
-11, -2, 0, 1
Let -k**2 - 2064*k - 1065024 = 0. Calculate k.
-1032
Solve 2*r**5/11 - 216*r**4/11 + 8802*r**3/11 - 165780*r**2/11 + 1409400*r/11 - 4374000/11 = 0 for r.
9, 30
What is m in -2*m**3/9 + 14*m**2/3 - 112*m/9 - 256/3 = 0?
-3, 8, 16
Factor 2*a**2 - 56*a + 54.
2*(a - 27)*(a - 1)
Let 6*i**4 - 27*i**3 - 6*i**2 + 117*i - 54 = 0. What is i?
-2, 1/2, 3
Determine k, given that k**5 - 3*k**4 - 16*k**3 - 12*k**2 = 0.
-2, -1, 0, 6
What is w in -4*w**5 - 20*w**4 + 92*w**3 - 44*w**2 - 88*w + 64 = 0?
-8, -1, 1, 2
Factor 3*n**4/8 - 3*n**3 + 39*n**2/8 - 9*n/4.
3*n*(n - 6)*(n - 1)**2/8
Factor -4*y**3 - 288*y**2 + 588*y - 296.
-4*(y - 1)**2*(y + 74)
Suppose -8*g**3/11 + 90*g**2/11 - 166*g/11 + 36/11 = 0. Calculate g.
1/4, 2, 9
Let -q**5 + 23*q**4 - 119*q**3 - 167*q**2 + 120*q + 144 = 0. Calculate q.
-1, 1, 12
What is a in -3*a**4 - 9*a**3 + 27*a**2 + 69*a + 36 = 0?
-4, -1, 3
Determine a so that -3*a**3/5 - 4266*a**2 - 10110420*a - 7987231800 = 0.
-2370
Let -2*t**3 - 22*t**2 - 52*t - 32 = 0. What is t?
-8, -2, -1
What is h in h**3 + 53*h**2 - 228*h = 0?
-57, 0, 4
Solve o**3/8 + 123*o**2 + 40344*o + 4410944 = 0.
-328
Factor -u**5/2 + 9*u**4 - 97*u**3/2 + 72*u**2 - 32*u.
-u*(u - 8)**2*(u - 1)**2/2
Factor 5*f**3 + 45*f**2 + 75*f - 125.
5*(f - 1)*(f + 5)**2
Solve 20*k**5 - 388*k**4 + 512*k**3 - 144*k**2 = 0.
0, 2/5, 1, 