 2*t**2 + 30*t - 1400.
2*(t - 20)*(t + 35)
Determine f, given that -2*f**3/7 + 2*f + 12/7 = 0.
-2, -1, 3
Solve 2*t**3/11 + 4*t**2/11 - 10*t/11 - 12/11 = 0.
-3, -1, 2
Determine b so that -2*b**3/7 - 2*b**2/7 + 24*b/7 = 0.
-4, 0, 3
Factor 5*u**3/2 - 157*u**2/2 + 31*u.
u*(u - 31)*(5*u - 2)/2
Factor t**2/3 - t + 2/3.
(t - 2)*(t - 1)/3
Factor -3*n**2/5 + 48858*n/5 - 198925347/5.
-3*(n - 8143)**2/5
Factor -u**5 - 31*u**4 - 222*u**3 - 544*u**2 - 352*u.
-u*(u + 1)*(u + 4)**2*(u + 22)
Determine x so that 2*x**3/3 + 146*x**2/3 + 48*x = 0.
-72, -1, 0
Solve -15*d**2/2 - 359*d/2 + 12 = 0 for d.
-24, 1/15
What is p in p**5 - 3*p**4 - p**3 + 11*p**2 - 12*p + 4 = 0?
-2, 1, 2
Factor -3*i**3/2 - 351*i**2/2 + 537*i - 360.
-3*(i - 2)*(i - 1)*(i + 120)/2
Factor -a**3/2 - 2*a**2 + 6*a.
-a*(a - 2)*(a + 6)/2
Solve 2*u**4/7 - 10*u**3/7 + 12*u**2/7 = 0 for u.
0, 2, 3
Factor -4*o**2 - 3608*o - 813604.
-4*(o + 451)**2
Factor 3*t**4 - 48*t**3 + 144*t**2.
3*t**2*(t - 12)*(t - 4)
Solve -7*k**4/4 + 23*k**3/4 - 27*k**2/4 + 13*k/4 - 1/2 = 0 for k.
2/7, 1
What is j in 12*j**3 - 2528*j**2 + 4172*j + 1672 = 0?
-1/3, 2, 209
Find l such that 2*l**5 + 38*l**4 + 242*l**3 + 538*l**2 - 20*l - 800 = 0.
-8, -5, -2, 1
Solve -4*g**3 + 152*g**2 = 0.
0, 38
Factor -4*f**3 + 2828*f**2 - 498432*f - 501264.
-4*(f - 354)**2*(f + 1)
Find r, given that r**3/2 + 321*r**2/2 + 159*r - 320 = 0.
-320, -2, 1
Factor -3*n**2 + n.
-n*(3*n - 1)
What is j in 4*j**4/5 + 50*j**3 + 3616*j**2/5 + 16002*j/5 + 7128/5 = 0?
-44, -9, -1/2
Factor u**2/4 - 15*u + 225.
(u - 30)**2/4
Determine z, given that -2*z**5/5 + 4*z**4 + 66*z**3/5 - 788*z**2/5 - 64*z/5 + 768/5 = 0.
-6, -1, 1, 8
Let -2*k**4 + 2*k**3 + 20*k**2 + 16*k = 0. What is k?
-2, -1, 0, 4
Find u, given that 4*u**2 - 580*u + 2256 = 0.
4, 141
Suppose j**3 + 44*j**2 - j - 44 = 0. What is j?
-44, -1, 1
Factor 2*u**3/7 + 64*u**2/7 - 206*u/7 + 20.
2*(u - 2)*(u - 1)*(u + 35)/7
Factor -2*a**3/5 - 136*a**2/5.
-2*a**2*(a + 68)/5
Solve -3*p**4/4 - 3*p**3/2 + 123*p**2/4 + 63*p/2 = 0.
-7, -1, 0, 6
Find w, given that -w**4/3 - 112*w**3/3 - 542*w**2/3 - 752*w/3 - 107 = 0.
-107, -3, -1
Factor -2*m**3/11 - 16*m**2/11 + 2*m/11 + 16/11.
-2*(m - 1)*(m + 1)*(m + 8)/11
Suppose 6*v**4/7 + 472*v**3/7 - 642*v**2/7 - 156*v/7 + 320/7 = 0. What is v?
-80, -2/3, 1
Let -64*h**4/5 + 3296*h**3/5 - 10628*h**2/5 - 5936*h/5 - 768/5 = 0. What is h?
-1/4, 4, 48
Let -25*g**5 - 10*g**4 + 150*g**3 + 260*g**2 + 155*g + 30 = 0. Calculate g.
-1, -2/5, 3
Factor -y**3/4 - 25*y**2/4 - 22*y - 21.
-(y + 2)**2*(y + 21)/4
Solve -5*i**5 - 90*i**4 - 305*i**3 + 900*i**2 - 500*i = 0 for i.
-10, 0, 1
Find x such that 5*x**5 + 1435*x**4 + 99320*x**3 - 521240*x**2 + 846800*x - 426320 = 0.
-146, 1, 2
Factor -d**4/3 + 23*d**3/3 - 22*d**2/3.
-d**2*(d - 22)*(d - 1)/3
Suppose 3*q**3/4 + 25*q**2/2 + 29*q + 14 = 0. Calculate q.
-14, -2, -2/3
Factor 4*l**4/5 + 44*l**3/5 - 4*l**2/5 - 44*l/5.
4*l*(l - 1)*(l + 1)*(l + 11)/5
Find r such that -r**4 + 5*r**3 + r**2 - 17*r - 12 = 0.
-1, 3, 4
Find m, given that 25*m**5/4 - 415*m**4/2 + 949*m**3/4 + 91*m**2 - 95*m - 32 = 0.
-2/5, 1, 32
Suppose 116*a**3 - 236*a**2 + 124*a - 4 = 0. What is a?
1/29, 1
Factor 16*x**4/5 - 1004*x**3/5 - 252*x**2/5.
4*x**2*(x - 63)*(4*x + 1)/5
Solve 4*k**5 + 9*k**4 - 46*k**3 - 84*k**2 + 90*k + 27 = 0.
-3, -1/4, 1, 3
Factor c**3/3 + 3*c**2 + 8*c + 16/3.
(c + 1)*(c + 4)**2/3
Factor t**2/4 + 29*t/4 - 33.
(t - 4)*(t + 33)/4
Factor -7*k**2/3 - 29*k/3 + 12.
-(k - 1)*(7*k + 36)/3
Factor 4*z**5 + 312*z**4 + 1496*z**3 + 2656*z**2 + 2052*z + 584.
4*(z + 1)**3*(z + 2)*(z + 73)
Factor 4*a**2 - 40*a - 96.
4*(a - 12)*(a + 2)
Factor -2*a**3 + 84*a**2 + 192*a - 704.
-2*(a - 44)*(a - 2)*(a + 4)
Factor -i**2/3 + 63*i + 970/3.
-(i - 194)*(i + 5)/3
Find o such that -o**3/4 - 3*o**2 + 19*o + 48 = 0.
-16, -2, 6
Determine b so that b**3/8 + 3*b**2/4 - 187*b/8 = 0.
-17, 0, 11
Factor -5*b**2/2 - 1360*b - 184960.
-5*(b + 272)**2/2
What is g in 2*g**3/3 + 58*g**2/3 + 416*g/3 + 120 = 0?
-18, -10, -1
Factor 4*d**3/9 - 584*d**2.
4*d**2*(d - 1314)/9
Factor -5*v**5 + 22*v**4 - 28*v**3 + 8*v**2.
-v**2*(v - 2)**2*(5*v - 2)
Determine q, given that -4*q**2 + 292*q = 0.
0, 73
Determine j so that -j**4/2 - 3*j**3/2 + 2*j**2 + 6*j = 0.
-3, -2, 0, 2
Factor 2*n**4 - 18*n**3 + 18*n**2 + 98*n + 60.
2*(n - 6)*(n - 5)*(n + 1)**2
Factor z**3/2 + 3*z**2 + 6*z + 4.
(z + 2)**3/2
Factor 2*p**2/7 - 20*p/7 - 78/7.
2*(p - 13)*(p + 3)/7
Find w, given that -2*w**4 - 110*w**3 - 416*w**2 - 408*w = 0.
-51, -2, 0
Suppose -2*n**3/3 + 116*n**2/3 = 0. Calculate n.
0, 58
Solve j**2/3 + 18*j - 55/3 = 0.
-55, 1
Let -2*s**3 + 108*s**2/13 - 120*s/13 + 16/13 = 0. Calculate s.
2/13, 2
Factor -2*p**4 + 566*p**3 - 3342*p**2 + 4986*p.
-2*p*(p - 277)*(p - 3)**2
Factor -i**2/4 + 125*i/4 + 63/2.
-(i - 126)*(i + 1)/4
Determine q so that -2*q**3/15 - 9938*q**2/15 - 4116816*q/5 - 4113504/5 = 0.
-2484, -1
Let 3*m**4 + 3*m**3 - 18*m**2 - 12*m + 24 = 0. What is m?
-2, 1, 2
Factor -4*h**2 + 6400.
-4*(h - 40)*(h + 40)
Factor o**4/4 - o**3 - o**2/4 + o.
o*(o - 4)*(o - 1)*(o + 1)/4
Factor 2*o**4/5 - 12*o**3/5 + 2*o**2 + 48*o/5 - 72/5.
2*(o - 3)**2*(o - 2)*(o + 2)/5
Solve 5*j**2/2 - 815*j + 1625/2 = 0.
1, 325
Solve -2*x**2/11 + 94*x/11 - 344/11 = 0.
4, 43
Factor -2*u**5/11 + 98*u**4/11 + 306*u**3/11 + 310*u**2/11 + 104*u/11.
-2*u*(u - 52)*(u + 1)**3/11
Solve 15*l**4/2 + 25*l**3/2 + 5*l**2/6 - 35*l/6 - 5/3 = 0.
-1, -1/3, 2/3
Factor -4*r**4 - 448*r**3 - 17464*r**2 - 275520*r - 1512900.
-4*(r + 15)**2*(r + 41)**2
Factor -t**3/6 + t**2/3 + 7*t/6 + 2/3.
-(t - 4)*(t + 1)**2/6
Solve -3*p**2/5 - 81*p = 0.
-135, 0
Factor 3*j**3 + 24*j**2 - 3*j - 24.
3*(j - 1)*(j + 1)*(j + 8)
Find b, given that 3*b**3 - 3*b**2 - 15*b - 9 = 0.
-1, 3
Solve -21*k**4 + 1224*k**3 + 1017*k**2 - 7824*k + 2124 = 0.
-3, 2/7, 2, 59
Suppose 3*b**4 + 48*b**3 + 264*b**2 + 576*b + 432 = 0. What is b?
-6, -2
Solve o**3 - 65*o**2 - 134*o = 0.
-2, 0, 67
Factor -3*n**3 + 138*n**2 - 891*n - 17496.
-3*(n - 27)**2*(n + 8)
Factor 3*c**4/2 - 15*c**3 + 81*c**2/2 - 27*c.
3*c*(c - 6)*(c - 3)*(c - 1)/2
Factor 2*x**4/5 + 14*x**3/5 - 10*x**2 - 134*x/5 - 72/5.
2*(x - 4)*(x + 1)**2*(x + 9)/5
Suppose -4*c**5 - 4*c**4 + 44*c**3 + 116*c**2 + 104*c + 32 = 0. What is c?
-2, -1, 4
Solve -5*d**5 - 15*d**4 + 5*d**3 + 35*d**2 - 20 = 0.
-2, -1, 1
Factor -h**5 - 30*h**4 - 194*h**3 - 412*h**2 - 357*h - 110.
-(h + 1)**3*(h + 5)*(h + 22)
What is u in -3*u**4 + 9*u**3 + 66*u**2 - 72*u = 0?
-4, 0, 1, 6
Factor -3*a**3 - 27*a**2 + 63*a + 735.
-3*(a - 5)*(a + 7)**2
Suppose z**2/3 + 5*z/3 - 8 = 0. Calculate z.
-8, 3
Find m, given that m**2/3 - 53*m - 1162/3 = 0.
-7, 166
Factor -4*p**4 - 4*p**3 + 12*p**2 + 4*p - 8.
-4*(p - 1)**2*(p + 1)*(p + 2)
Factor 2*k**2/3 - 68*k/3 + 176.
2*(k - 22)*(k - 12)/3
Let -3*v**4 - 24*v**3 - 36*v**2 = 0. Calculate v.
-6, -2, 0
What is w in -3*w**4 - 123*w**3 - 117*w**2 + 123*w + 120 = 0?
-40, -1, 1
Factor -3*c**2 - 396*c - 780.
-3*(c + 2)*(c + 130)
Find i, given that -3*i**2/4 + 21*i/2 + 45/4 = 0.
-1, 15
Factor 4*x**2 + 36*x + 32.
4*(x + 1)*(x + 8)
Factor 4*n**2 + 656*n + 4396.
4*(n + 7)*(n + 157)
Find a such that -3*a**5/2 - 30*a**4 + 69*a**3/2 + 63*a**2 = 0.
-21, -1, 0, 2
Determine m so that -6*m**5/7 + 52*m**4/7 - 116*m**3/7 + 8*m**2/7 + 122*m/7 - 60/7 = 0.
-1, 2/3, 1, 3, 5
Determine j, given that -j**5/7 - j**4/7 + j**3 + 13*j**2/7 + 6*j/7 = 0.
-2, -1, 0, 3
Determine b, given that -25*b**5 - 985*b**4 - 13065*b**3 - 59995*b**2 - 21970*b = 0.
-13, -2/5, 0
Factor -o**2/2 + 67*o - 133/2.
-(o - 133)*(o - 1)/2
Suppose 3*u**4 + 81*u**3 - 357*u**2 + 459*u - 186 = 0. Calculate u.
-31, 1, 2
What is h in -2*h**3/5 - 154*h**2/5 - 608*h - 2888/5 = 0?
-38, -1
Suppose -3*g**3 + 15*g**2 + 51*g - 63 = 0. What is g?
-3, 1, 7
Solve a**2/4 - 7*a/4 + 3 = 0 for a.
3, 4
Factor 2*a**3 - 1206*a**2 + 242406*a - 16241202.
2*(a - 201)**3
Solve -y**4/8 + 29*y**3/4 + 15*y**2 = 0 for y.
-2, 0, 60
Let u**2/2 + 2365*u/2 = 0. Calculate u.
-2365, 0
Suppose -4*t**5 - 60*t**4 - 248*t**3 - 136*t**2 + 252*t + 196 = 0. Calculate t.
-7, -1, 1
What is r in 6*r**4/5 - 13*r**3/5 - 63*r**2/5 + 82*r/5 - 24/5 = 0?
-3, 1/2, 2/3, 4
Factor -4*s**3 - 806*s**2 - 1202*s - 400.
-2*(s + 1)*(s + 200)*(2*s + 1)
Let -3*h**3/4 - 39*h**2/4 - 33*h/2 = 0. What is h?
-11, -2, 0
Suppose -4*y**5 + 4*y**4 + 128*y**3 - 544*y**2 + 832*y - 448 = 0