*j + 5832 = 0. What is j?
54
Determine f, given that 232*f**2 + 1618*f - 42 = 0.
-7, 3/116
Factor p**2/4 - 11*p - 48.
(p - 48)*(p + 4)/4
Factor 3*k**2 - 303*k - 306.
3*(k - 102)*(k + 1)
Factor 3*u**2 + 438*u + 864.
3*(u + 2)*(u + 144)
Let -4*f**4 - 2752*f**3 - 470584*f**2 + 949440*f - 476100 = 0. Calculate f.
-345, 1
Determine y so that -y**4/3 - 7*y**3/3 + 43*y**2/3 - 17*y/3 - 22 = 0.
-11, -1, 2, 3
Factor f**2/5 - 9/5.
(f - 3)*(f + 3)/5
Suppose -4*k**3 + 312*k**2 - 4556*k + 4248 = 0. Calculate k.
1, 18, 59
Determine s so that -3*s**5/7 - 282*s**4/7 + 579*s**3/7 + 282*s**2/7 - 576*s/7 = 0.
-96, -1, 0, 1, 2
Let -u**5/3 + 8*u**4 + 9*u**3 - 50*u**2/3 = 0. What is u?
-2, 0, 1, 25
Solve 3*j**4 + 453*j**3 - 1386*j**2 + 12*j + 1848 = 0.
-154, -1, 2
Suppose 2*x**2 - 1728*x = 0. Calculate x.
0, 864
Factor 27*p**2 + 21*p - 6.
3*(p + 1)*(9*p - 2)
Solve y**5/4 + 3*y**4 + y**3/2 - 27*y**2 - 99*y/4 = 0.
-11, -3, -1, 0, 3
Factor -2*p**2/5 - 184*p/5 - 4232/5.
-2*(p + 46)**2/5
Find n such that 2*n**2 - 144*n + 280 = 0.
2, 70
Factor -15*b**3 - 215*b**2 + 155*b + 75.
-5*(b - 1)*(b + 15)*(3*b + 1)
Determine k so that -4*k**3 - 16*k**2 + 12*k + 72 = 0.
-3, 2
Determine i, given that 5*i**2/4 + 4*i + 3/4 = 0.
-3, -1/5
Let -4*y**5/3 - 12*y**4 - 28*y**3 + 4*y**2/3 + 40*y = 0. Calculate y.
-5, -3, -2, 0, 1
Factor 3*b**4 - 36*b**3 + 153*b**2 - 264*b + 144.
3*(b - 4)**2*(b - 3)*(b - 1)
Let 2*a**4 - 36*a**3 - 2*a**2 + 36*a = 0. What is a?
-1, 0, 1, 18
Suppose -2*t**4/13 - 14*t**3/13 + 206*t**2/13 - 490*t/13 + 300/13 = 0. What is t?
-15, 1, 2, 5
Solve -f**3 + 142*f**2 - 419*f + 278 = 0.
1, 2, 139
What is r in -2*r**3 - 84*r**2 + 18*r + 756 = 0?
-42, -3, 3
Factor -2*r**4 - 27266*r**3 - 123914880*r**2 - 187772329984*r - 187648442368.
-2*(r + 1)*(r + 4544)**3
Factor 2*l**3/5 + 6132*l**2/5 + 6266904*l/5 + 2134925296/5.
2*(l + 1022)**3/5
Factor -8*y**3 + 52*y**2 - 52*y - 40.
-4*(y - 5)*(y - 2)*(2*y + 1)
Find r such that 2*r**3 + 34*r**2 + 28*r - 64 = 0.
-16, -2, 1
Factor 2*u**2/3 - 44*u/3 + 80/3.
2*(u - 20)*(u - 2)/3
Factor 5*u**3 - 40*u**2 - 125*u + 1000.
5*(u - 8)*(u - 5)*(u + 5)
Factor -o**2/4 + 37*o/4.
-o*(o - 37)/4
Factor 2*r**2/21 + 58*r/21.
2*r*(r + 29)/21
Let -5*p**4 - 520*p**3 - 16545*p**2 - 152550*p - 243000 = 0. Calculate p.
-45, -12, -2
What is x in -28*x**5 + 3548*x**4 + 8268*x**3 - 1484*x**2 - 8240*x - 2064 = 0?
-2, -1, -2/7, 1, 129
Find o such that -o**5 + 600*o**4/7 + 3301*o**3/7 + 5962*o**2/7 + 3996*o/7 + 104 = 0.
-2, -1, -2/7, 91
Find k such that -3*k**5 + 15*k**4 + 69*k**3 + 33*k**2 - 66*k - 48 = 0.
-2, -1, 1, 8
Factor 2*n**3/3 + 7*n**2 + 25*n/3 - 6.
(n + 2)*(n + 9)*(2*n - 1)/3
What is z in 2*z**4 - 16*z**3 - 2*z**2 + 16*z = 0?
-1, 0, 1, 8
Factor -3*u**3/4 + 13*u**2/8 + 7*u/4 + 3/8.
-(u - 3)*(2*u + 1)*(3*u + 1)/8
Suppose -2*x**5/5 - 2*x**4 - 12*x**3/5 + 4*x**2/5 + 14*x/5 + 6/5 = 0. What is x?
-3, -1, 1
Find z, given that -z**2/4 + 21*z/2 - 98 = 0.
14, 28
What is f in 3*f**4 - 18*f**2 + 24*f - 9 = 0?
-3, 1
Find s such that s**4/3 + 50*s**3/3 + 625*s**2/3 = 0.
-25, 0
Factor -2*p**4 + 75*p**3 + 198*p**2 + 80*p.
-p*(p - 40)*(p + 2)*(2*p + 1)
Factor -5*g**2 - 180*g - 175.
-5*(g + 1)*(g + 35)
Find l such that -4*l**5 + 44*l**4 - 148*l**3 + 180*l**2 - 72*l = 0.
0, 1, 3, 6
Solve 5*m**5 - 220*m**4 + 3440*m**3 - 23360*m**2 + 71680*m - 81920 = 0 for m.
4, 16
Factor 5*d**2 + 570*d + 16245.
5*(d + 57)**2
Suppose -3*d**2 - 114*d + 645 = 0. What is d?
-43, 5
Determine l so that 4*l**4 - 56*l**3 + 236*l**2 - 376*l + 192 = 0.
1, 2, 3, 8
Factor 4*c**2 - 1444.
4*(c - 19)*(c + 19)
Suppose 16*z**3 + 1484*z**2 + 2540*z - 728 = 0. What is z?
-91, -2, 1/4
Factor 3*u**3 + 48*u**2 + 87*u + 42.
3*(u + 1)**2*(u + 14)
Factor -2*l**3/13 + 36*l**2/13 - 30*l/13 - 68/13.
-2*(l - 17)*(l - 2)*(l + 1)/13
Let 2*o**5 + o**4 - 3*o**3 - o**2 + o = 0. What is o?
-1, 0, 1/2, 1
Factor i**4 + 194*i**3 - 195*i**2.
i**2*(i - 1)*(i + 195)
Solve -7*o**2 - 258*o + 37 = 0 for o.
-37, 1/7
Factor g**2 - 36*g + 35.
(g - 35)*(g - 1)
Factor 5*f**2/2 - 8070*f + 6512490.
5*(f - 1614)**2/2
Factor 16*r**3/11 - 90*r**2/11 + 108*r/11 + 54/11.
2*(r - 3)**2*(8*r + 3)/11
Factor 2*o**3/7 - 774*o**2/7 + 772*o/7.
2*o*(o - 386)*(o - 1)/7
Determine a so that 4*a**2 + 240*a + 464 = 0.
-58, -2
Factor -59049*t**3/8 - 72171*t**2/8 - 29403*t/8 - 3993/8.
-3*(27*t + 11)**3/8
Factor -50*h**2/3 + 260*h - 1014.
-2*(5*h - 39)**2/3
Solve -25*y**5 + 420*y**4 + 2451*y**3 - 5306*y**2 + 2964*y - 504 = 0 for y.
-6, 2/5, 1, 21
Determine l, given that 3*l**4/5 + 48*l**3/5 + 33*l**2 = 0.
-11, -5, 0
Let 2*y**2/15 - 88*y/5 - 266/15 = 0. What is y?
-1, 133
Solve -3*x**2/7 - 180*x/7 = 0.
-60, 0
Let -2*q**3 - 20*q**2 - 46*q - 28 = 0. What is q?
-7, -2, -1
Factor 10*c**2 + 2435*c + 1215.
5*(c + 243)*(2*c + 1)
Let -h**5/2 - 1813*h**4 - 4385041*h**3/2 - 885775060*h**2 - 1764979808*h - 881395456 = 0. What is h?
-1208, -1
Solve -i**5/6 - i**4/2 + 5*i**3/6 + i**2/2 - 2*i/3 = 0 for i.
-4, -1, 0, 1
Factor -2*p**4 - 4*p**3 + 8*p**2 + 4*p - 6.
-2*(p - 1)**2*(p + 1)*(p + 3)
Factor 10*l**4 - 154*l**3 + 560*l**2 - 200*l.
2*l*(l - 10)*(l - 5)*(5*l - 2)
Factor c**2/3 + 154*c + 17787.
(c + 231)**2/3
Suppose 5*v**5/4 - 55*v**4/2 + 165*v**3 - 505*v**2/2 + 455*v/4 = 0. Calculate v.
0, 1, 7, 13
Factor 2*s**5/7 - 32*s**3/7 - 76*s**2/7 - 66*s/7 - 20/7.
2*(s - 5)*(s + 1)**3*(s + 2)/7
Factor -q**2/6 + 245*q/6 - 316.
-(q - 237)*(q - 8)/6
What is w in -15*w**3/7 + 33*w**2/7 + 114*w/7 - 24/7 = 0?
-2, 1/5, 4
Factor -b**3 - 8*b**2 + 71*b + 78.
-(b - 6)*(b + 1)*(b + 13)
Solve 2*u**2/5 - 40*u + 1000 = 0 for u.
50
Solve -o**2/2 - 7*o = 0 for o.
-14, 0
Suppose -d**4 - 10*d**3 + 52*d**2 - 56*d = 0. Calculate d.
-14, 0, 2
Factor i**4/6 + 9*i**3 + 26*i**2/3 - 9*i - 53/6.
(i - 1)*(i + 1)**2*(i + 53)/6
What is n in -6*n**2 + 27*n - 12 = 0?
1/2, 4
Find a such that a**2 + 278*a - 279 = 0.
-279, 1
Factor 2*f**5/9 - 604*f**4/9 + 2392*f**3/9 - 2384*f**2/9.
2*f**2*(f - 298)*(f - 2)**2/9
What is v in -8*v**4/3 - 154*v**3/3 + 290*v**2/3 - 86*v/3 - 14 = 0?
-21, -1/4, 1
Let p**3/3 - 4*p**2/3 - p + 6 = 0. Calculate p.
-2, 3
Suppose l**4/2 + 17*l**3/2 - 185*l**2/2 - 417*l/2 - 108 = 0. What is l?
-24, -1, 9
Factor 4*n**3 - 436*n**2 + 1272*n.
4*n*(n - 106)*(n - 3)
Determine k, given that 4*k**4 - 33*k**3/4 + k**2/2 = 0.
0, 1/16, 2
Solve r**2/6 - 35*r/3 - 24 = 0 for r.
-2, 72
Determine l, given that -4*l**5/9 - 44*l**4/9 + 188*l**3/9 + 268*l**2/9 - 184*l/9 - 224/9 = 0.
-14, -1, 1, 4
Solve 3*c**2 - 63*c + 114 = 0.
2, 19
Suppose 64*g**3 - 1328*g**2 - 335*g - 21 = 0. Calculate g.
-1/8, 21
Factor -25*v**2 + 95*v + 20.
-5*(v - 4)*(5*v + 1)
Find m, given that -m**3/2 - 19*m**2 - 305*m/2 - 350 = 0.
-28, -5
Solve -5*k**3 + 135*k**2 + 3440*k = 0.
-16, 0, 43
Find g such that 5*g**4 - 5*g**3 - 25*g**2 - 15*g = 0.
-1, 0, 3
Determine b, given that -16*b**2 + 972*b + 244 = 0.
-1/4, 61
Suppose 4*h**5 - 252*h**4 + 3840*h**3 + 4096*h**2 = 0. What is h?
-1, 0, 32
Find j, given that -2*j**4/7 - 38*j**3/7 + 114*j**2/7 + 558*j/7 - 216 = 0.
-21, -4, 3
Solve 3*p**2 + 3258*p + 884547 = 0 for p.
-543
Factor -2*x**2/3 - 100*x + 624.
-2*(x - 6)*(x + 156)/3
Determine a so that -2*a**4/3 + 10*a**3/3 + 62*a**2/3 + 86*a/3 + 12 = 0.
-2, -1, 9
Factor -381*f**2/4 + 190*f + 1.
-(f - 2)*(381*f + 2)/4
Factor y**2 - y - 6.
(y - 3)*(y + 2)
Let -4*v**4 + 44*v**3 - 136*v**2 + 96*v = 0. What is v?
0, 1, 4, 6
Determine l, given that 20*l**4 - 3615*l**3 + 164695*l**2 - 120600*l - 40500 = 0.
-1/4, 1, 90
Find h such that 3*h**5 - 123*h**4 + 306*h**3 + 1428*h**2 - 2136*h - 5472 = 0.
-2, 3, 4, 38
Let b**5/6 - b**4/3 + b**2/3 - b/6 = 0. What is b?
-1, 0, 1
Let -2*m**4/3 - 224*m**3/3 - 2940*m**2 - 137200*m/3 - 600250/3 = 0. What is m?
-35, -7
Determine i so that 3*i**2 + 315*i + 1212 = 0.
-101, -4
Determine z, given that -3*z**2/2 + 39*z - 132 = 0.
4, 22
Determine h so that 2*h**5/9 + 74*h**4/9 + 70*h**3/9 - 74*h**2/9 - 8*h = 0.
-36, -1, 0, 1
Let -u**2/2 + 74*u - 2738 = 0. Calculate u.
74
Factor 2*h**3/5 - 2448*h**2/5 - 4902*h/5 - 2452/5.
2*(h - 1226)*(h + 1)**2/5
Solve 4*v**5/5 + 76*v**4/5 - 768*v**3/5 + 2464*v**2/5 - 3392*v/5 + 1728/5 = 0.
-27, 2
Let 3*c**5 + 27*c**4 + 81*c**3 + 81*c**2 = 0. Calculate c.
-3, 0
Factor -2*x**2/9 - 4*x + 38/9.
-2*(x - 1)*(x + 19)/9
Factor -3*u**3/4 - 43*u**2/4 + 15*u/2.
-u*(u + 15)*(3*u - 2)/4
Solve -5*q**4/2 - 12*