 -1
Let -2*s**3/11 + 494*s**2/11 - 1468*s/11 + 976/11 = 0. What is s?
1, 2, 244
Let -5*u**4 - 105*u**3 - 765*u**2 - 2275*u - 2250 = 0. What is u?
-9, -5, -2
Let g**3/2 - 12*g**2 = 0. Calculate g.
0, 24
Factor -4*u**4 + 260*u**3 - 252*u**2 - 260*u + 256.
-4*(u - 64)*(u - 1)**2*(u + 1)
Solve -2*o**4/13 + 2*o**3 + 58*o**2/13 + 30*o/13 = 0 for o.
-1, 0, 15
Find u such that -2*u**4/9 - 44*u**3/9 - 80*u**2/3 + 44*u/9 + 242/9 = 0.
-11, -1, 1
What is l in 2*l**5/13 + 6*l**4/13 - 16*l**3/13 - 48*l**2/13 + 32*l/13 + 96/13 = 0?
-3, -2, 2
Determine q so that q**3/2 + 21*q**2/2 - 35*q + 24 = 0.
-24, 1, 2
Factor 11*m**3/3 + 166*m**2/3 + 144*m + 96.
(m + 2)*(m + 12)*(11*m + 12)/3
Factor -15*m**2 - 70*m - 40.
-5*(m + 4)*(3*m + 2)
Factor 5*y**4 - 2575*y**3 - 12985*y**2 - 7845*y + 23400.
5*(y - 520)*(y - 1)*(y + 3)**2
Find d such that -3*d**5 - 126*d**4 - 1479*d**3 - 3852*d**2 + 12660*d - 7200 = 0.
-24, -10, 1
Solve 5*b**4 - 890*b**3 - 2705*b**2 - 1810*b = 0.
-2, -1, 0, 181
Factor s**5 + 11*s**4 - s**3 - 11*s**2.
s**2*(s - 1)*(s + 1)*(s + 11)
Find x, given that -268*x**4 + 528*x**3 + 16*x**2 = 0.
-2/67, 0, 2
Factor -o**5 + 6*o**4 - 14*o**3 + 16*o**2 - 9*o + 2.
-(o - 2)*(o - 1)**4
Let 6*j**5 - 12*j**4 - 75*j**3/2 + 66*j**2 - 45*j/2 = 0. Calculate j.
-5/2, 0, 1/2, 1, 3
Factor 5*g**3 + 180*g**2.
5*g**2*(g + 36)
Factor 5*h**4 + 120*h**3 + 1050*h**2 + 3920*h + 5145.
5*(h + 3)*(h + 7)**3
Factor -w**3/9 + 68*w**2/9 + 436*w/9 + 592/9.
-(w - 74)*(w + 2)*(w + 4)/9
Factor 5*j**3 + 65*j**2 - 80*j - 140.
5*(j - 2)*(j + 1)*(j + 14)
Let 12*h**5 - 160*h**4 + 272*h**3 + 24*h**2 - 284*h + 136 = 0. Calculate h.
-1, 1, 34/3
Suppose -3*p**5/7 + 249*p**4/7 - 6336*p**3/7 + 47844*p**2/7 - 85536*p/7 - 139968/7 = 0. What is p?
-1, 6, 36
Solve -2*d**2 + 898*d + 3624 = 0.
-4, 453
Find p such that -3*p**2 - 432*p - 15552 = 0.
-72
Factor 2*o**2/3 + 1588*o + 945654.
2*(o + 1191)**2/3
Factor c**4 - 289*c**3 + 575*c**2 - 287*c.
c*(c - 287)*(c - 1)**2
Suppose -z**4/2 - 15*z**3 - 277*z**2/2 - 390*z - 338 = 0. Calculate z.
-13, -2
Determine x so that -x**5/8 - 3*x**4/8 + 47*x**3/8 + 51*x**2/8 - 23*x/4 - 6 = 0.
-8, -1, 1, 6
Factor 4*b**4 + 16*b**3 - 104*b**2 - 240*b + 900.
4*(b - 3)**2*(b + 5)**2
Let 2*j**2 - 20*j - 342 = 0. Calculate j.
-9, 19
Factor -5*l**3 - 4920*l**2 - 19620*l - 19600.
-5*(l + 2)**2*(l + 980)
Factor 3*c**3 + 279*c**2 + 8649*c + 89373.
3*(c + 31)**3
Solve -3*t**5/2 + 3*t**4 + 33*t**3 + 24*t**2 - 63*t/2 - 27 = 0 for t.
-3, -1, 1, 6
Factor w**3/3 - 7*w**2 + 40*w - 100/3.
(w - 10)**2*(w - 1)/3
Determine o so that -3*o**4/7 - 3*o**3/7 + 93*o**2/7 + 3*o/7 - 90/7 = 0.
-6, -1, 1, 5
Factor -4*x**3 - 88*x**2 + 92*x.
-4*x*(x - 1)*(x + 23)
Factor 10*h**2/7 - 2694*h/7 + 1076/7.
2*(h - 269)*(5*h - 2)/7
Factor -4*t**3/3 + 28*t**2/3 + 68*t/3 + 12.
-4*(t - 9)*(t + 1)**2/3
Suppose -10*o**5 - 95*o**4 - 240*o**3 - 180*o**2 = 0. What is o?
-6, -2, -3/2, 0
Factor v**3 + 476*v**2 + 949*v + 474.
(v + 1)**2*(v + 474)
Solve 2*y**4/13 + 36*y**3/13 + 16*y**2/13 - 324*y/13 - 306/13 = 0 for y.
-17, -3, -1, 3
Let -16*b**4/5 + 132*b**3/5 - 6*b**2 - 16*b/5 = 0. What is b?
-1/4, 0, 1/2, 8
Factor -b**3/4 - 4*b**2 - 15*b/4.
-b*(b + 1)*(b + 15)/4
Factor -2*a**5/11 + 58*a**4/11 + 60*a**3/11.
-2*a**3*(a - 30)*(a + 1)/11
Suppose 2*s**3/9 - 640*s**2/9 + 17278*s/3 - 11236 = 0. What is s?
2, 159
Determine i, given that -2*i**3/3 - 946*i**2/3 - 2824*i/3 - 1880/3 = 0.
-470, -2, -1
Factor 5*j**3 + 195*j**2 + 715*j + 525.
5*(j + 1)*(j + 3)*(j + 35)
Solve -2*y**5/3 - 73*y**4/6 - 57*y**3 - 529*y**2/6 - 152*y/3 - 8 = 0 for y.
-12, -4, -1, -1/4
Factor n**2 - 16*n - 17.
(n - 17)*(n + 1)
Suppose -2*l**5 - 8*l**4 + 264*l**3 + 2660*l**2 + 9050*l + 10500 = 0. Calculate l.
-5, -3, 14
What is j in -j**2/3 - j = 0?
-3, 0
Suppose 3*g**2/2 - 426*g = 0. What is g?
0, 284
Find w such that -2*w**3/3 + 4*w**2 = 0.
0, 6
Let -6*q**3 + 855*q**2/2 + 3387*q/2 - 450 = 0. What is q?
-4, 1/4, 75
Find p, given that -p**3 - 128*p**2 - 4340*p - 15376 = 0.
-62, -4
Solve -2*z**4/5 - 1162*z**3/5 - 3474*z**2/5 - 694*z - 1156/5 = 0.
-578, -1
Factor 5*c**4 + 15*c**3 - 30*c**2 - 40*c.
5*c*(c - 2)*(c + 1)*(c + 4)
Factor 4*n**2 + 168*n - 3420.
4*(n - 15)*(n + 57)
Factor -25*d**4/4 + 3635*d**3/2 - 524149*d**2/4 - 159213*d - 47961.
-(d - 146)**2*(5*d + 3)**2/4
Factor 2*c**4/13 + 72*c**3/13 + 864*c**2/13 + 3456*c/13.
2*c*(c + 12)**3/13
Factor -p**4/4 + 27*p**3/2 - 729*p**2/4.
-p**2*(p - 27)**2/4
Suppose q**2/3 + 806*q/3 + 162409/3 = 0. What is q?
-403
Factor 3*b**5 - 3*b**4 - 24*b**3 + 36*b**2.
3*b**2*(b - 2)**2*(b + 3)
Factor -3*z**2/4 - 1017*z - 344763.
-3*(z + 678)**2/4
Factor 2*f**5 - 18*f**4 + 44*f**3 - 64*f.
2*f*(f - 4)**2*(f - 2)*(f + 1)
Factor p**3/5 - 266*p**2/5 + 53*p.
p*(p - 265)*(p - 1)/5
Determine j so that -10*j**3 + 4*j**2 + 10*j - 4 = 0.
-1, 2/5, 1
Determine x, given that -5*x**2 + 80*x - 300 = 0.
6, 10
Factor -5*a**3/4 - 49*a**2/4 - 115*a/4 + 25/4.
-(a + 5)**2*(5*a - 1)/4
Find o such that -2*o**3/3 + 46*o**2/3 - 286*o/3 + 242/3 = 0.
1, 11
Suppose 4*w**2/7 + 60*w/7 - 64/7 = 0. Calculate w.
-16, 1
Determine f, given that -24*f**4 - 16*f**3 - 2*f**2 = 0.
-1/2, -1/6, 0
Factor 4*x**3 + 192*x**2 - 6736*x + 12672.
4*(x - 22)*(x - 2)*(x + 72)
Let -h**4/5 + 7*h**3/5 - 8*h**2/5 - 16*h/5 = 0. Calculate h.
-1, 0, 4
Factor o**5/6 + o**4/6 - 9*o**3/2 - 77*o**2/6 - 37*o/3 - 4.
(o - 6)*(o + 1)**3*(o + 4)/6
Factor 81*g**2/10 + 72*g/5 + 14/5.
(9*g + 2)*(9*g + 14)/10
Suppose -2*i**5 + 188*i**4 - 368*i**3 - 4*i**2 + 370*i - 184 = 0. Calculate i.
-1, 1, 92
Factor h**5/2 + 27*h**4/2 + 69*h**3 - 293*h**2 + 645*h/2 - 225/2.
(h - 1)**3*(h + 15)**2/2
Factor -2*y**2/5 - 126*y - 2488/5.
-2*(y + 4)*(y + 311)/5
Determine t, given that t**2 + 43*t - 44 = 0.
-44, 1
Determine l so that -4*l**3/3 + 6452*l**2/3 + 12916*l/3 + 6460/3 = 0.
-1, 1615
Let 66*m**3/5 + m**2/5 = 0. Calculate m.
-1/66, 0
Factor -4*m**2 - 28*m + 72.
-4*(m - 2)*(m + 9)
Factor 5*g**3/6 - 71*g**2/6 + 112*g/3 - 34.
(g - 2)**2*(5*g - 51)/6
Suppose f**2 - 3173*f = 0. Calculate f.
0, 3173
Factor -4*o**4 + 24*o**3 - 21*o**2 - 49*o.
-o*(o + 1)*(2*o - 7)**2
Factor 3*i**2 + 18*i + 15.
3*(i + 1)*(i + 5)
Solve 4*w**4 + 36*w**3 - 4*w**2 - 36*w = 0 for w.
-9, -1, 0, 1
Factor -4*o**3 - 21864*o**2 - 39836208*o - 24193856992.
-4*(o + 1822)**3
Find v, given that v**4/7 - 178*v**3/7 + 176*v**2/7 + 178*v/7 - 177/7 = 0.
-1, 1, 177
Factor -2*n**3 - 8*n**2 - 6*n.
-2*n*(n + 1)*(n + 3)
Factor 18*k**2/7 + 528*k/7 + 3872/7.
2*(3*k + 44)**2/7
Find s, given that s**5/5 - 517*s**4/5 + 13518*s**3 - 39526*s**2 - 67591*s/5 + 198147/5 = 0.
-1, 1, 3, 257
Suppose -2*a**2/7 + 60*a/7 - 58/7 = 0. Calculate a.
1, 29
Determine a so that 21*a**2/2 - 249*a/2 - 135 = 0.
-1, 90/7
Let -v**3/5 + 18*v**2 - 177*v/5 + 88/5 = 0. Calculate v.
1, 88
Determine x, given that -15*x**2/8 + 147*x/8 - 87/2 = 0.
4, 29/5
Factor 4*z**4 + 8*z**3 - 8*z - 4.
4*(z - 1)*(z + 1)**3
Determine o, given that 20*o**5 - 145*o**4 - 145*o**3 + 185*o**2 + 125*o - 40 = 0.
-1, 1/4, 1, 8
What is d in 2*d**2 + 40*d + 200 = 0?
-10
Factor -2*t**2 + 1240*t - 192200.
-2*(t - 310)**2
Determine d, given that 8836*d**5 - 9588*d**4 - 8068*d**3 + 9572*d**2 - 768*d + 16 = 0.
-1, 2/47, 1
Suppose -108*o**5 - 480*o**4 - 508*o**3 - 120*o**2 = 0. What is o?
-3, -10/9, -1/3, 0
Determine y, given that 2*y**4/9 - 32*y**3/3 + 718*y**2/9 - 208*y/3 = 0.
0, 1, 8, 39
Factor 7*t**3/6 + 44*t**2 - 527*t/2 + 215/3.
(t - 5)*(t + 43)*(7*t - 2)/6
Determine t so that t**4/5 - 3*t**3/5 + t**2/5 + 3*t/5 - 2/5 = 0.
-1, 1, 2
Factor 2*l**2/5 - 6*l/5.
2*l*(l - 3)/5
Factor 3*q**2/7 + 240*q/7 + 237/7.
3*(q + 1)*(q + 79)/7
Solve -z**2 - 25*z + 54 = 0.
-27, 2
Factor -5*s**5 - 7*s**4 - 2*s**3.
-s**3*(s + 1)*(5*s + 2)
Factor -3*s**2 - 321*s.
-3*s*(s + 107)
Factor l**3/6 - 6*l**2 - 25*l/2 - 19/3.
(l - 38)*(l + 1)**2/6
Factor -h**2 - 320*h - 319.
-(h + 1)*(h + 319)
Factor 2*z**2/7 + 16*z/7 + 2.
2*(z + 1)*(z + 7)/7
Factor -2*p**2/3 - 16*p/3 + 40/3.
-2*(p - 2)*(p + 10)/3
Find j, given that -3*j**5 - 51*j**4 - 120*j**3 + 888*j**2 - 240*j - 1200 = 0.
-10, -1, 2
Find g such that -10*g**5 + 4*g**4 + 10*g**3 - 4*g**2 = 0.
-1, 0, 2/5, 1
Solve -4*m**2 + 16*m + 660 = 0.
-11, 15
Suppose 3*t**2/2 + 75*t - 153/2 = 0. Calculate t.
-51, 1
Determine p, given that -5*p**5/4 + 35*p**4 - 45*p**3/2 - 290*p**2 - 1465*p/4 - 135 = 0.
-1, 4, 27
Solve