*4/3 - 3*k**3 + 4*k**2 - 4*k/3.
k*(k - 2)**2*(2*k - 1)/3
What is t in 2*t**3 - 22*t**2 - 288*t + 648 = 0?
-9, 2, 18
Solve 5*r**3 + 120*r**2 + 375*r - 500 = 0.
-20, -5, 1
Let -j**4/2 + 5*j**3/2 - 7*j**2/2 + 3*j/2 = 0. Calculate j.
0, 1, 3
Let 13*q**2 - 207*q/2 - 4 = 0. Calculate q.
-1/26, 8
Factor 18*l**3/5 + 14*l**2/5 - 4*l/5.
2*l*(l + 1)*(9*l - 2)/5
Factor 2*b**4/3 - 2168*b**3/3 + 593996*b**2/3 - 1168552*b + 1743126.
2*(b - 539)**2*(b - 3)**2/3
Solve -5*a**2 + 180*a - 1620 = 0 for a.
18
Factor -5*q**3 + 4690*q**2 - 1104480*q + 2190240.
-5*(q - 468)**2*(q - 2)
Factor -4*u**3/7 - 4*u**2 + 12*u + 108/7.
-4*(u - 3)*(u + 1)*(u + 9)/7
Solve 5*h**4 - 4787*h**3 + 1144329*h**2 + 690239*h - 458882 = 0.
-1, 2/5, 479
Factor -n**3 + 282*n**2.
-n**2*(n - 282)
Let -4*m**2/3 + 16*m/3 + 28 = 0. Calculate m.
-3, 7
Solve -4*i**3 - 20*i**2 + 8*i + 96 = 0 for i.
-4, -3, 2
Factor -2*r**4 + 12*r**3 - 10*r**2 - 48*r + 72.
-2*(r - 3)**2*(r - 2)*(r + 2)
Determine w so that -2*w**5 + 6*w**4 - 2*w**3 - 6*w**2 + 4*w = 0.
-1, 0, 1, 2
Solve -4*i**2 - 320*i = 0 for i.
-80, 0
Determine l so that 12*l**5 + 160*l**4 + 608*l**3 + 120*l**2 - 1900*l + 1000 = 0.
-5, 2/3, 1
Let -2*u**4/5 - 134*u**3/15 + 1106*u**2/15 - 1546*u/15 + 116/3 = 0. Calculate u.
-29, 2/3, 1, 5
Factor k**4 + 12*k**3 + 35*k**2 - 12*k - 36.
(k - 1)*(k + 1)*(k + 6)**2
Determine d, given that 2*d**5 - 8*d**4 + 12*d**3 - 8*d**2 + 2*d = 0.
0, 1
Factor -2*n**2 - 2*n + 84.
-2*(n - 6)*(n + 7)
Factor 5*q**5 - 1360*q**4 + 121460*q**3 - 3391120*q**2 - 15065920*q - 15573760.
5*(q - 92)**3*(q + 2)**2
What is l in -l**4 - 15*l**3 - 74*l**2 - 132*l - 72 = 0?
-6, -2, -1
Suppose -2*h**2/5 - 174*h/5 - 172/5 = 0. What is h?
-86, -1
Suppose n**3 + 177*n**2 - 180*n - 356 = 0. What is n?
-178, -1, 2
Factor 2*h**4 + 22*h**3 + 88*h**2 + 152*h + 96.
2*(h + 2)**2*(h + 3)*(h + 4)
Factor 2*h**2/5 + 4243*h/5 - 2122/5.
(h + 2122)*(2*h - 1)/5
Suppose 3*n**4 - 9*n**3 - 42*n**2 + 144*n - 96 = 0. Calculate n.
-4, 1, 2, 4
Suppose -21*j**5/5 + 141*j**4/5 + 1134*j**3/5 + 2244*j**2/5 + 312*j + 288/5 = 0. Calculate j.
-2, -1, -2/7, 12
Factor -3*h**3 - 1017*h**2 + 2046*h.
-3*h*(h - 2)*(h + 341)
Let 5*j**4 + 127*j**3/5 + 2*j**2 = 0. Calculate j.
-5, -2/25, 0
Factor -2*n**4/7 + 14*n**3 - 888*n**2/7.
-2*n**2*(n - 37)*(n - 12)/7
Factor -4*n**2 + 108*n.
-4*n*(n - 27)
Let 9*r**4 + 3345*r**3 + 310242*r**2 - 106020*r - 207576 = 0. Calculate r.
-186, -2/3, 1
Let 41*o**3/4 - 409*o**2/2 - 901*o/4 - 21/2 = 0. Calculate o.
-1, -2/41, 21
Factor -2*z**3/15 + 326*z**2/5 - 53138*z/5 + 8661494/15.
-2*(z - 163)**3/15
Suppose -15*f**4 - 819*f**3 - 5310*f**2 + 2256*f = 0. Calculate f.
-47, -8, 0, 2/5
Find f such that -2*f**3 + 60*f**2 - 432*f = 0.
0, 12, 18
Suppose 4*c**2 + 116*c + 312 = 0. Calculate c.
-26, -3
Factor -b**3/4 + 2*b**2 + 23*b/4 - 15/2.
-(b - 10)*(b - 1)*(b + 3)/4
Suppose -p**3/6 - 7*p**2/3 + p/6 + 7/3 = 0. Calculate p.
-14, -1, 1
Factor 3*o**2 + 63*o - 216.
3*(o - 3)*(o + 24)
Factor -2*s**2/5 - 136*s/5 - 2312/5.
-2*(s + 34)**2/5
Factor l**2 - l.
l*(l - 1)
Factor -3*y**2/4 + 258*y - 1029/4.
-3*(y - 343)*(y - 1)/4
Factor 3*k**3 - 240*k**2.
3*k**2*(k - 80)
Find o such that 48*o**5 - 792*o**4 + 3459*o**3 - 1584*o**2 + 192*o = 0.
0, 1/4, 8
Determine f so that -2*f**5 - 1244*f**4/5 - 41326*f**3/5 - 163932*f**2/5 - 33408*f - 8640 = 0.
-60, -3, -1, -2/5
Suppose -l**3 + 20*l**2 - 37*l + 18 = 0. What is l?
1, 18
Suppose -125*h**2/4 + 127*h/4 - 1/2 = 0. Calculate h.
2/125, 1
Factor -i**3/4 - 4147*i**2/4.
-i**2*(i + 4147)/4
Let 5*w**5 - 35*w**4 + 25*w**3 + 35*w**2 - 30*w = 0. What is w?
-1, 0, 1, 6
Factor -3*u**5/8 + 27*u**4/4 - 315*u**3/8 + 147*u**2/2.
-3*u**2*(u - 7)**2*(u - 4)/8
Solve -392*b**4 - 364*b**3 + 824*b**2 - 80*b - 96 = 0 for b.
-2, -2/7, 1/2, 6/7
Let -5*h**2 - 77930*h - 303654245 = 0. What is h?
-7793
Suppose 4*r**2/3 - 38*r/9 + 2/3 = 0. What is r?
1/6, 3
Determine b so that b**4/5 - 6*b**3/5 - 7*b**2/5 = 0.
-1, 0, 7
Suppose -4*w**3/7 - 4*w**2 + 68*w/7 - 36/7 = 0. What is w?
-9, 1
Solve -4*z**5 + 12*z**4 + 12*z**3 - 44*z**2 + 24*z = 0 for z.
-2, 0, 1, 3
Find j, given that 2*j**2/13 + 62*j/13 - 64/13 = 0.
-32, 1
Factor j**3/5 - 32*j**2/5 - 4*j/5 + 128/5.
(j - 32)*(j - 2)*(j + 2)/5
Factor -b**4 - 108*b**3 - 3022*b**2 - 5724*b - 2809.
-(b + 1)**2*(b + 53)**2
Factor 4*p**4 - 8*p**3 - 4*p**2 + 8*p.
4*p*(p - 2)*(p - 1)*(p + 1)
Solve -5*g**3 + 17*g**2 - 6*g = 0.
0, 2/5, 3
Solve 2*d**2/19 + 1892*d/19 + 447458/19 = 0 for d.
-473
What is x in 3*x**2 + 858*x + 3384 = 0?
-282, -4
Factor -2*b**2/19 - 500*b/19 - 78.
-2*(b + 3)*(b + 247)/19
Let 2*f**4/5 + 24*f**3/5 + 18*f**2 + 108*f/5 = 0. Calculate f.
-6, -3, 0
Let -3*j**2 - 267*j + 2646 = 0. What is j?
-98, 9
Find q such that -4*q**4/5 - 36*q**3/5 - 44*q**2/5 + 84*q/5 = 0.
-7, -3, 0, 1
Factor -76*t**2 + 20*t + 96.
-4*(t + 1)*(19*t - 24)
Factor 4*z**3 + 68*z**2 + 256*z + 192.
4*(z + 1)*(z + 4)*(z + 12)
Let -2*i**3 + 160*i**2 + 664*i + 672 = 0. Calculate i.
-2, 84
Solve 4*y**3 + 884*y**2 + 2624*y + 1744 = 0.
-218, -2, -1
Solve 2*g**3/5 - 262*g**2/5 + 9774*g/5 - 112266/5 = 0.
27, 77
Factor -3*k**2/5 + 9*k/5 - 6/5.
-3*(k - 2)*(k - 1)/5
Solve -121*n**3 - 264*n**2 - 144*n = 0 for n.
-12/11, 0
Solve -2*o**4/11 - 520*o**3/11 - 94*o**2 - 516*o/11 = 0.
-258, -1, 0
Determine b so that -4*b**3 - 29*b**2 + 25*b + 8 = 0.
-8, -1/4, 1
Factor -4*u**4 - 60*u**3 + 284*u**2 - 372*u + 152.
-4*(u - 2)*(u - 1)**2*(u + 19)
Solve -z**2/6 + 383*z/3 - 146689/6 = 0.
383
Solve -2620*z**3 + 12*z**2 + 2620*z - 12 = 0 for z.
-1, 3/655, 1
Let p**5 - 12*p**4 - 2*p**3 + 24*p**2 + p - 12 = 0. Calculate p.
-1, 1, 12
Determine z so that -2*z**3/5 - 172*z**2/5 + 2*z/5 + 172/5 = 0.
-86, -1, 1
What is c in -4*c**5/5 - 108*c**4/5 - 668*c**3/5 + 156*c**2 = 0?
-15, -13, 0, 1
Let -3*n**2 - 63*n + 810 = 0. Calculate n.
-30, 9
Factor c**2 - 8*c - 153.
(c - 17)*(c + 9)
Find k such that 529*k**2 - 276*k + 36 = 0.
6/23
Factor -b**5/4 - 52*b**4 - 5303*b**3/2 + 5460*b**2 - 11025*b/4.
-b*(b - 1)**2*(b + 105)**2/4
Factor 5*a**4 - 170*a**3 + 655*a**2 + 2030*a.
5*a*(a - 29)*(a - 7)*(a + 2)
What is g in -27*g**4 - 1371*g**3 + 6138*g**2 - 7236*g + 1320 = 0?
-55, 2/9, 2
Find x such that 3*x**5 - 165*x**4 + 306*x**3 + 660*x**2 - 1272*x = 0.
-2, 0, 2, 53
Factor 6*w**2 - 87*w/8 + 39/8.
3*(w - 1)*(16*w - 13)/8
Find n such that -3*n**2/2 - 447*n/2 - 1287 = 0.
-143, -6
Suppose 9*r**3 - 633*r**2 + 3606*r + 2688 = 0. What is r?
-2/3, 7, 64
Suppose -3*y**2/5 + 159*y/5 - 156/5 = 0. What is y?
1, 52
Factor -2*v**2/15 + 4*v/5.
-2*v*(v - 6)/15
Suppose 4*j**3 + 568*j**2 - 580*j - 1144 = 0. Calculate j.
-143, -1, 2
Solve -4*g**3 - 1408*g**2 + 1436*g + 8472 = 0.
-353, -2, 3
Determine i, given that 5*i**2 + 45*i = 0.
-9, 0
Factor -m**2/4 + 29*m - 841.
-(m - 58)**2/4
Suppose 14*h**2 - 16*h - 24 = 0. Calculate h.
-6/7, 2
Factor -3*a**4/2 - 3*a**3/2 + 3*a**2.
-3*a**2*(a - 1)*(a + 2)/2
Let c**5 - 4*c**4 - 39*c**3 + 54*c**2 + 540*c + 648 = 0. What is c?
-3, -2, 6
Solve 2*l**2/9 + 2*l/3 = 0.
-3, 0
Determine y so that 100*y**4/3 + 1260*y**3 + 5392*y**2 + 11152*y/3 + 704 = 0.
-33, -4, -2/5
Find z such that -z**3 + 8*z**2 + 93*z + 180 = 0.
-4, -3, 15
Find s such that -5*s**4/3 - 50*s**3 - 1120*s**2/3 + 50*s + 375 = 0.
-15, -1, 1
Factor 5*q**3 - 100*q**2 + 385*q + 490.
5*(q - 14)*(q - 7)*(q + 1)
Factor 3*l**5 + 15*l**4 + 30*l**3 + 30*l**2 + 15*l + 3.
3*(l + 1)**5
Solve -s**3/6 + 8*s**2/3 - 7*s/2 - 39 = 0.
-3, 6, 13
Factor 2*l**4 - 53*l**3 - 8*l**2 + 212*l.
l*(l - 2)*(l + 2)*(2*l - 53)
Factor s**2 - 6*s - 72.
(s - 12)*(s + 6)
Factor 4*k**2/3 - 1064*k/3 + 70756/3.
4*(k - 133)**2/3
Suppose a**4/3 - a**3/3 - 2*a**2/3 = 0. What is a?
-1, 0, 2
Solve -81*x**3/2 - 18*x**2 - 3*x/2 = 0.
-1/3, -1/9, 0
Suppose -b**3 - 1205*b**2 - 362403*b + 363609 = 0. What is b?
-603, 1
Let 3*s**3 + 312*s**2 + 2535*s - 329550 = 0. Calculate s.
-65, 26
Factor -2*h**5 - 2706*h**4 - 1373632*h**3 - 310286704*h**2 - 26412298848*h - 26103383072.
-2*(h + 1)*(h + 338)**4
Suppose -2*u**2/7 - 24*u/7 - 54/7 = 0. What is u?
-9, -3
Determine p so that 3*p**4/2 + 342*p**3 + 26325*p**2 + 708750*p + 3796875/2 = 0.
-75, -3
Solve 5*u**2 + 130*u + 345 = 0 for u.
-23, -3
Factor -20*d**4 - 678*d**3 - 5712*d**2 + 578*d.
-2*d*(d + 17)**2*(10*d - 1)
Let 55*y**3/2 + 29*y**2 + 15*y/2 = 0. What is y?
-3/5, -5/11, 0
Solve 99*c**3 + 586*c**2/3 + 281