 0 for s.
-3, -1/4, 0
Determine s so that 3*s**2 + 42*s - 621 = 0.
-23, 9
Suppose -j**2/4 - 3018*j - 9108324 = 0. Calculate j.
-6036
Suppose -4*u**4 + 422*u**3 - 3378*u**2 + 7792*u - 3104 = 0. Calculate u.
1/2, 4, 97
Factor 2*h**3/13 - 40*h**2/13 + 38*h/13.
2*h*(h - 19)*(h - 1)/13
Solve -3*f**3/7 + 12*f**2/7 + 45*f/7 - 54/7 = 0.
-3, 1, 6
Factor -2*j**2/23 + 388*j/23.
-2*j*(j - 194)/23
Factor -g**3 - 18*g**2 - 101*g - 180.
-(g + 4)*(g + 5)*(g + 9)
Find a, given that -a**3 - 3*a**2/4 + a/4 = 0.
-1, 0, 1/4
Suppose 8*a**3/3 + 10*a**2 + 8*a - 8/3 = 0. Calculate a.
-2, 1/4
Factor 5*x**4 - 205*x**3 + 825*x**2 + 30625*x - 31250.
5*(x - 25)**2*(x - 1)*(x + 10)
Let 3*r**4/4 - 3*r**3 + 9*r**2/4 = 0. Calculate r.
0, 1, 3
Suppose d**3/3 - 31*d**2/3 + 36*d = 0. What is d?
0, 4, 27
Factor 3*l**3 + 45*l**2 + 108*l.
3*l*(l + 3)*(l + 12)
Suppose 5*j**5/4 + 15*j**4/4 + 15*j**3/4 + 5*j**2/4 = 0. What is j?
-1, 0
Factor 2*m**2/3 + 836*m/3 + 87362/3.
2*(m + 209)**2/3
Factor -2*y**4/9 + 676*y**3/9 - 674*y**2/9.
-2*y**2*(y - 337)*(y - 1)/9
Determine v, given that 3*v**2 - 30*v + 27 = 0.
1, 9
Factor 4*f**4 + 1024*f**3 + 5052*f**2 + 8048*f + 4016.
4*(f + 1)*(f + 2)**2*(f + 251)
Factor -3*h**3/7 - 321*h**2/7 - 936*h/7.
-3*h*(h + 3)*(h + 104)/7
What is h in 4*h**5 - 8*h**3 + 4*h = 0?
-1, 0, 1
Factor -2*n**2 + 76*n + 2016.
-2*(n - 56)*(n + 18)
Factor -3*l**2/2 + 69*l - 135/2.
-3*(l - 45)*(l - 1)/2
Let -2*t**2/3 + 949*t/6 - 79/2 = 0. What is t?
1/4, 237
Find b, given that -2*b**5 - 2*b**4/5 + 6*b**3 + 26*b**2/5 + 4*b/5 = 0.
-1, -1/5, 0, 2
Factor -12*y**3 + 26*y**2 - 4*y.
-2*y*(y - 2)*(6*y - 1)
Suppose 4*d**2/7 - 92*d + 1272/7 = 0. What is d?
2, 159
Solve 3*f**5 + 30*f**4 + 84*f**3 + 72*f**2 = 0 for f.
-6, -2, 0
Let 7360369*l**2/6 + 5426*l/3 + 2/3 = 0. What is l?
-2/2713
Let -2*w**4/3 - 14*w**3 + 92*w**2/3 = 0. What is w?
-23, 0, 2
Factor 2*w**4 + 8*w**3 + 4*w**2 - 8*w - 6.
2*(w - 1)*(w + 1)**2*(w + 3)
Factor 2*q**2/9 - 412*q/9 - 46.
2*(q - 207)*(q + 1)/9
Find j, given that j**2 - 2664*j + 1774224 = 0.
1332
Factor z**2/7 + 116*z/7 - 117/7.
(z - 1)*(z + 117)/7
Let -3*j**4 + 30*j**3 + 36*j**2 - 30*j - 33 = 0. What is j?
-1, 1, 11
Factor -m**4 + 12*m**3 - 21*m**2 + 10*m.
-m*(m - 10)*(m - 1)**2
Let h**4/2 + 3*h**3 + 3*h**2/2 - 5*h = 0. Calculate h.
-5, -2, 0, 1
Find h such that h**3 - 245*h**2 + 15128*h - 14884 = 0.
1, 122
Determine r, given that r**3/5 - 11*r**2/5 + 7*r/5 + 147/5 = 0.
-3, 7
Factor 4*r**3/5 - 10152*r**2/5 + 8588592*r/5 - 2421982944/5.
4*(r - 846)**3/5
What is v in -32*v**5 - 68*v**4 + 408*v**3 - 268*v**2 - 40*v = 0?
-5, -1/8, 0, 1, 2
Find m, given that 5*m**3 + 13120*m**2 + 8619825*m + 17187210 = 0.
-1311, -2
Let 15*z**4 - 9*z**3 - 45*z**2 - 3*z + 18 = 0. What is z?
-1, 3/5, 2
Factor -28*o**3 - 360*o**2 - 924*o + 1568.
-4*(o + 7)**2*(7*o - 8)
Determine h, given that -15*h**3 - 9*h**2 + 6*h = 0.
-1, 0, 2/5
Solve 2*r**4/5 + 2*r**3 - 14*r**2/5 - 58*r/5 + 12 = 0 for r.
-5, -3, 1, 2
Factor -o**2/2 - 1995*o/2.
-o*(o + 1995)/2
Factor 5*p**3 + 525*p**2 + 510*p - 1040.
5*(p - 1)*(p + 2)*(p + 104)
Solve -2*d**5/7 + 52*d**4/7 - 108*d**3/7 - 656*d**2/7 - 110*d - 276/7 = 0.
-1, 6, 23
Factor -2*h**3/13 + 50*h**2/13 - 22*h - 26.
-2*(h - 13)**2*(h + 1)/13
What is h in -3*h**5 + 93*h**4 - 717*h**3 + 1167*h**2 - 540*h = 0?
0, 1, 9, 20
Factor z**2 - 4*z - 32.
(z - 8)*(z + 4)
Solve -4*c**4 - 436*c**3 - 12516*c**2 - 34556*c - 22472 = 0 for c.
-53, -2, -1
Factor 9*c**4 + 183*c**3 + 988*c**2 + 1084*c + 336.
(c + 7)*(c + 12)*(3*c + 2)**2
Factor -g**4/2 - 32*g**3 - 1023*g**2/2 + 32*g + 512.
-(g - 1)*(g + 1)*(g + 32)**2/2
Factor -2*b**2/3 + 296*b/3 - 10952/3.
-2*(b - 74)**2/3
Determine w so that -2*w**3/13 + 170*w**2/13 + 172*w/13 = 0.
-1, 0, 86
Factor 1785*s**4 + 28557*s**3/4 + 7137*s**2 - 3*s.
3*s*(s + 2)**2*(2380*s - 1)/4
Suppose 4*f**2/13 + 22*f/13 + 10/13 = 0. What is f?
-5, -1/2
Solve 147*o**4 - 385*o**3/2 + 93*o**2/2 - o = 0 for o.
0, 1/42, 2/7, 1
Determine i so that 245*i**3/2 - 7*i**2/2 - 32*i - 6 = 0.
-2/7, 3/5
Factor k**2 - 446*k/3 - 149/3.
(k - 149)*(3*k + 1)/3
Find n, given that 2*n**5/19 - 12*n**4/19 + 10*n**3/19 = 0.
0, 1, 5
Factor 2*f**5/9 + 8*f**4/9 + 8*f**3/9 - 4*f**2/9 - 10*f/9 - 4/9.
2*(f - 1)*(f + 1)**3*(f + 2)/9
Find r such that r**4 - 112*r**3/3 + 515*r**2/3 - 86*r/3 - 320/3 = 0.
-2/3, 1, 5, 32
Find k, given that -k**3 + 94*k**2 - 901*k - 996 = 0.
-1, 12, 83
Solve 5*o**5 - 125*o**4 - 885*o**3 - 1375*o**2 - 620*o = 0.
-4, -1, 0, 31
Factor 2*l**2/7 - 2*l/7.
2*l*(l - 1)/7
Solve -5*k**3 + 90*k**2 + 825*k + 1250 = 0 for k.
-5, -2, 25
Factor -4*f**2/5 - 80*f - 784/5.
-4*(f + 2)*(f + 98)/5
Factor 2*g**2/9 - 40*g/9 + 200/9.
2*(g - 10)**2/9
Factor 2*j**2 + 752*j - 3040.
2*(j - 4)*(j + 380)
Solve -l**3/5 - 12*l**2/5 + l/5 + 12/5 = 0 for l.
-12, -1, 1
Suppose -741*o**5 - 4482*o**4 - 6873*o**3 - 3216*o**2 - 36*o + 48 = 0. Calculate o.
-4, -1, -2/13, 2/19
Let -28*u**2 - 316*u - 88 = 0. What is u?
-11, -2/7
Find h such that 4*h**3/5 + 391*h**2/5 - 494*h/5 + 99/5 = 0.
-99, 1/4, 1
Determine o so that 3*o**5 + 168*o**4 + 162*o**3 - 168*o**2 - 165*o = 0.
-55, -1, 0, 1
Determine i so that -12*i**5 - 148*i**4 - 276*i**3 + 68*i**2 + 288*i + 80 = 0.
-10, -2, -1, -1/3, 1
Factor -3*o**5 + 66*o**4 - 531*o**3 + 1956*o**2 - 3216*o + 1728.
-3*(o - 9)*(o - 4)**3*(o - 1)
Determine k so that -6*k**4 - 425*k**3 - 7699*k**2 - 6055*k + 1225 = 0.
-35, -1, 1/6
Determine x, given that -x**3/4 - 55*x**2/2 + 223*x/4 - 28 = 0.
-112, 1
Let -5*i**2 - 700*i + 4380 = 0. What is i?
-146, 6
Factor -u**2 - 2538*u + 2539.
-(u - 1)*(u + 2539)
What is u in -2*u**3/5 + 24*u**2/5 - 72*u/5 + 64/5 = 0?
2, 8
Let -5*b**2 + 70*b - 245 = 0. Calculate b.
7
Determine n so that -6*n**5/5 + 22*n**4/5 + 42*n**3/5 - 6*n**2/5 - 4*n = 0.
-1, 0, 2/3, 5
What is s in 2*s**5/7 - 2*s**4 + 18*s**3/7 + 2*s**2 - 20*s/7 = 0?
-1, 0, 1, 2, 5
Solve -4*l**4/5 + 396*l**3/5 - 10328*l**2/5 + 23808*l/5 + 18432 = 0 for l.
-2, 5, 48
Suppose 1076*x**2/5 - 208*x - 36/5 = 0. What is x?
-9/269, 1
Solve -v**3/5 - 66*v**2 - 5445*v = 0 for v.
-165, 0
Let -28*s**4 + 284*s**3 - 516*s**2 - 716*s + 112 = 0. What is s?
-1, 1/7, 4, 7
Factor -c**3/3 - 32*c**2/3 - 31*c/3.
-c*(c + 1)*(c + 31)/3
Factor 3*w**3 + 144*w**2 - 459*w.
3*w*(w - 3)*(w + 51)
Factor j**2/2 + 3*j + 9/2.
(j + 3)**2/2
Determine c so that 2*c**3 - 190*c**2 + 4606*c - 4418 = 0.
1, 47
Determine x so that x**3/4 - 209*x**2/4 + 207*x/2 = 0.
0, 2, 207
Find i such that -3*i**4 + 99*i**3 + 105*i**2 - 99*i - 102 = 0.
-1, 1, 34
Factor -y**3/5 - 107*y**2/5 - 792*y/5.
-y*(y + 8)*(y + 99)/5
Let 2*n**2/17 - 48*n/17 + 256/17 = 0. Calculate n.
8, 16
Suppose -3*d**2/5 - 309*d - 3078/5 = 0. What is d?
-513, -2
Solve 3*u**3/8 - 63*u**2/4 - 135*u/2 - 69 = 0 for u.
-2, 46
Determine c so that c**3/2 + 28*c**2 - 118*c + 120 = 0.
-60, 2
Let -2*b**4/15 + 504*b**3/5 - 284252*b**2/15 - 191016*b/5 - 287282/15 = 0. Calculate b.
-1, 379
What is d in 6*d**5 + 51*d**4 - 93*d**3 - 21*d**2 + 87*d - 30 = 0?
-10, -1, 1/2, 1
Factor q**2/4 + 307*q/2 + 94249/4.
(q + 307)**2/4
Let -2*c**3/3 - 242*c**2/3 = 0. What is c?
-121, 0
Factor -x**4 - 5*x**3 - 4*x**2.
-x**2*(x + 1)*(x + 4)
Factor -52*a**4 + 164*a**3 - 24*a**2.
-4*a**2*(a - 3)*(13*a - 2)
Factor 2*p**4 - 9*p**3 + 14*p**2 - 9*p + 2.
(p - 2)*(p - 1)**2*(2*p - 1)
Factor r**3 + 26*r**2 - 384*r - 864.
(r - 12)*(r + 2)*(r + 36)
Solve -3*n**5/4 - 9*n**4/2 - 3*n**3/4 + 18*n**2 - 12*n = 0 for n.
-4, 0, 1
Factor -19*k**3/3 + 9*k**2 - 8*k/3.
-k*(k - 1)*(19*k - 8)/3
Determine g, given that 2*g**5/7 + 16*g**4/7 + 40*g**3/7 + 32*g**2/7 = 0.
-4, -2, 0
Factor 4*k**3/3 + 5*k**2 - 7*k/3 - 4.
(k - 1)*(k + 4)*(4*k + 3)/3
Let 10*r**5/9 - 446*r**4/9 + 1490*r**3/9 - 562*r**2/9 - 164*r/3 = 0. What is r?
-2/5, 0, 1, 3, 41
Let -b**4/8 - 7*b**3/4 + 17*b**2 - 113*b/4 + 105/8 = 0. Calculate b.
-21, 1, 5
Determine k, given that -k**4/2 - 50*k**3 - 1250*k**2 = 0.
-50, 0
Suppose -t**5 + 23*t**4 - 111*t**3 + 153*t**2 = 0. Calculate t.
0, 3, 17
Suppose -4*h**3 + 632*h**2 = 0. What is h?
0, 158
Factor -4*j**2/3 + 248*j + 1504/3.
-4*(j - 188)*(j + 2)/3
Determine w so that -2*w**5 - 10*w**4 + 184*w**3 - 312*w**2 = 0.
-13, 0, 2, 6
Find s such that 3*s**2 - 174*s - 360 = 0.
-2, 60
Suppose 4*f**2/3 - 896*f/3 + 892/3 = 0. What is f?
1, 223
Factor 5*x**3 + 20*x**2 - 35*x - 50.
5*(x - 2)*(x + 1)*(x + 5)
Factor -4*j