w**4 + 1404*w**3 + 4184*w**2 + 2784*w.
4*w*(w + 1)*(w + 2)*(w + 348)
Suppose 5*d**2 - 70*d - 600 = 0. What is d?
-6, 20
Factor -5*s**3/3 - 70*s**2.
-5*s**2*(s + 42)/3
Suppose 12*r**4 - 16*r**3 - 44*r**2 + 64*r - 16 = 0. What is r?
-2, 1/3, 1, 2
Factor -20*o**4/9 + 524*o**3/9 - 3484*o**2/9 + 676*o/9.
-4*o*(o - 13)**2*(5*o - 1)/9
Determine c so that -c**4/3 + 40*c**3 - 118*c**2/3 - 40*c + 119/3 = 0.
-1, 1, 119
Find b such that 3*b**4 - 12*b**3 - 3*b**2 + 12*b = 0.
-1, 0, 1, 4
Factor 4*u**3 - 32*u**2 + 68*u - 40.
4*(u - 5)*(u - 2)*(u - 1)
What is a in 5*a**3/4 + 17*a**2 + 53*a - 24 = 0?
-8, -6, 2/5
Suppose 74*o**2/13 + 118*o/13 - 192/13 = 0. Calculate o.
-96/37, 1
Solve 48*f**3 - 76*f**2 - 20*f + 48 = 0 for f.
-3/4, 1, 4/3
What is q in -6*q**4 - 1192*q**3 + 2804*q**2 - 2008*q + 402 = 0?
-201, 1/3, 1
Factor -3*n**2/2 + 582*n - 56454.
-3*(n - 194)**2/2
Factor 4*s**3 + 112*s**2.
4*s**2*(s + 28)
What is c in -5*c**3 + 95*c**2 - 495*c + 405 = 0?
1, 9
Suppose -27*b**3/2 + 321*b**2/2 + 1792*b/3 + 490 = 0. What is b?
-14/9, 15
Factor -2*i**5 + 6*i**4 - 6*i**3 + 2*i**2.
-2*i**2*(i - 1)**3
Find k such that 5*k**4/2 - 110*k**3 + 3015*k**2/2 - 5670*k - 7290 = 0.
-1, 9, 18
Factor 2*c**2/19 - 1904*c/19 + 453152/19.
2*(c - 476)**2/19
Find d, given that 3*d**2/4 + 144*d + 6912 = 0.
-96
Suppose o**4/3 + 38*o**3/3 - 132*o**2 + 414*o - 423 = 0. What is o?
-47, 3
Determine c, given that c**4/6 + 59*c**3/6 + 75*c**2/2 + 277*c/6 + 55/3 = 0.
-55, -2, -1
Factor -740*j**3 - 1465*j**2/2 + 15*j/2.
-5*j*(j + 1)*(296*j - 3)/2
Factor 3*y**3/5 + 27*y**2/5 + 9*y + 21/5.
3*(y + 1)**2*(y + 7)/5
Factor -b**2/9 - 46*b/9 - 529/9.
-(b + 23)**2/9
Determine p so that -3*p**5 + 90*p**4 - 231*p**3 - 6432*p**2 - 19836*p - 17328 = 0.
-4, -2, 19
Factor -2*m**2/7 + 86*m/7 - 164/7.
-2*(m - 41)*(m - 2)/7
Solve 5*o**4 - 95*o**3 + 285*o**2 + 1595*o + 1210 = 0.
-2, -1, 11
Determine s so that -s**4/4 - s**3/2 + 13*s**2/4 - 5*s/2 = 0.
-5, 0, 1, 2
Solve f**3/2 + 5*f**2 + 17*f/2 + 4 = 0 for f.
-8, -1
Suppose -3*l**2 + 48*l - 117 = 0. What is l?
3, 13
Determine y so that y**3/2 - 391*y**2/2 + 389*y = 0.
0, 2, 389
Find x such that x**3/5 - 281*x**2/5 + 3976*x - 3920 = 0.
1, 140
Let 3*g**5 + 27*g**4 + 72*g**3 + 60*g**2 = 0. What is g?
-5, -2, 0
Determine l so that 4*l**5 - 4*l**4 - 39*l**3 - 34*l**2 - 8*l = 0.
-2, -1/2, 0, 4
Find w such that 5*w**4 - 2375*w**3 + 280840*w**2 + 283220*w = 0.
-1, 0, 238
Determine k so that -3*k**2/5 - 759*k - 3792/5 = 0.
-1264, -1
What is y in -y**3/5 - 11*y**2/5 - 7*y - 5 = 0?
-5, -1
What is q in -q**2/3 + 11*q/3 - 10/3 = 0?
1, 10
Factor o**2 - 22*o - 135.
(o - 27)*(o + 5)
Suppose r**3 + 235*r**2 + 13688*r - 13924 = 0. Calculate r.
-118, 1
Let 18*q**4/17 - 86*q**3/17 - 164*q**2/17 + 832*q/17 + 192/17 = 0. Calculate q.
-3, -2/9, 4
Let 95*v**5 + 105*v**4 - 275*v**3 - 505*v**2 - 240*v - 20 = 0. What is v?
-1, -2/19, 2
Suppose j**5/4 - 391*j**4/4 + 40315*j**3/4 - 410425*j**2/4 + 318250*j - 225625 = 0. Calculate j.
1, 5, 190
Solve 3*u**3 + 9*u**2 - 72*u + 84 = 0 for u.
-7, 2
Suppose 2*n**5/3 - 2*n**4 - 32*n**3/3 + 32*n**2 = 0. Calculate n.
-4, 0, 3, 4
Solve -u**2/4 + 13*u/4 + 15/2 = 0 for u.
-2, 15
Factor w**3/9 + 64*w**2/9 + 7*w.
w*(w + 1)*(w + 63)/9
Suppose 4*c**3 + 28*c**2 + 64*c + 48 = 0. Calculate c.
-3, -2
Let b**5/10 + 3*b**4/10 + b**3/5 = 0. What is b?
-2, -1, 0
Factor 5*m**4 - 45*m**3 + 100*m**2 - 60*m.
5*m*(m - 6)*(m - 2)*(m - 1)
Factor 3*f**4/4 - 279*f**3 + 25383*f**2 + 104904*f + 106032.
3*(f - 188)**2*(f + 2)**2/4
Let -2*o**5/3 - 2*o**4/3 + 134*o**3/3 + 386*o**2/3 + 84*o = 0. Calculate o.
-7, -2, -1, 0, 9
Let z**5/3 - 8*z**4/3 - 47*z**3/3 + 250*z**2/3 + 928*z/3 + 640/3 = 0. Calculate z.
-5, -2, -1, 8
Determine c so that -189*c**3 - 243*c**2 - 72*c + 4 = 0.
-2/3, 1/21
Solve -t**5/3 + 2*t**4/3 + t**3/3 - 2*t**2/3 = 0.
-1, 0, 1, 2
Find x, given that -2*x**5/17 - 44*x**4/17 + 14*x**3 + 408*x**2 = 0.
-17, 0, 12
Factor 4*k**2 + 872*k - 1760.
4*(k - 2)*(k + 220)
Factor 3*p**2 - 486*p - 984.
3*(p - 164)*(p + 2)
Factor -p**2 + 11*p + 12.
-(p - 12)*(p + 1)
Factor -2*l**2/7 + 5564*l/7 + 5566/7.
-2*(l - 2783)*(l + 1)/7
Solve -75*b**5 - 2320*b**4 + 5165*b**3 + 1510*b**2 - 4580*b + 1320 = 0 for b.
-33, -1, 2/5, 2/3, 2
What is s in 3*s**2/5 - 19944*s/5 + 33146928/5 = 0?
3324
Suppose -21*r**4 - 90*r**3 + 60*r**2 + 360*r + 96 = 0. Calculate r.
-4, -2, -2/7, 2
Let -s**3/2 + 29*s**2/2 - 14*s = 0. What is s?
0, 1, 28
Let b**3 - 182*b**2 = 0. What is b?
0, 182
Factor -104*o**2/5 - 6*o/5.
-2*o*(52*o + 3)/5
What is p in p**5/3 - 14*p**4/3 - 32*p**3/3 - 2*p**2/3 + 31*p/3 + 16/3 = 0?
-1, 1, 16
Factor -4*j**4/3 + 2896*j**3/3 - 521272*j**2/3 - 350416*j - 175692.
-4*(j - 363)**2*(j + 1)**2/3
Factor 20*k**3 + 368*k**2 + 1764*k + 648.
4*(k + 9)**2*(5*k + 2)
Determine g, given that 4*g**3/3 - 1334*g**2/3 + 3314*g/3 - 1324/3 = 0.
1/2, 2, 331
Suppose -22*q**4/19 - 596*q**3/19 - 5400*q**2/19 - 16524*q/19 - 1458/19 = 0. What is q?
-9, -1/11
Determine c, given that -2*c**2/15 + 4*c/3 - 16/5 = 0.
4, 6
Factor -4*f**2/5 - 696*f/5 + 1408/5.
-4*(f - 2)*(f + 176)/5
Determine x, given that 2*x**4 + 24*x**3 + 12*x**2 - 104*x + 66 = 0.
-11, -3, 1
Determine j, given that -3*j**5/4 + 3*j**3/4 = 0.
-1, 0, 1
Determine n so that 42350*n**3 + 27390*n**2 + 4464*n + 216 = 0.
-3/7, -6/55
Let -20237522*t**2/3 + 25448*t/3 - 8/3 = 0. What is t?
2/3181
Determine r so that 3*r**3 + 216*r**2 = 0.
-72, 0
Factor -d**5 + 8*d**4 - 18*d**3 + 16*d**2 - 5*d.
-d*(d - 5)*(d - 1)**3
Determine s, given that 6*s**4 - 8*s**3 - 24*s**2 + 32*s = 0.
-2, 0, 4/3, 2
Determine j so that 5*j**2 - 70*j - 1035 = 0.
-9, 23
Factor 75*r**2 - 6*r.
3*r*(25*r - 2)
Factor 2*b**2 - 184*b + 3944.
2*(b - 58)*(b - 34)
Factor 2*k**2/9 - 70*k/9 + 44/3.
2*(k - 33)*(k - 2)/9
Factor 5*t**4 + 340*t**3 - 345*t**2.
5*t**2*(t - 1)*(t + 69)
Factor -n**3/6 + 2*n**2/3 - n/6 - 1.
-(n - 3)*(n - 2)*(n + 1)/6
Solve -d**2/5 - 3988*d/5 - 3976036/5 = 0 for d.
-1994
What is f in 3*f**2 + 39*f - 42 = 0?
-14, 1
Suppose -4*r**2 - 51528*r - 165945924 = 0. Calculate r.
-6441
Determine t, given that -2*t**4/3 - 6*t**3 + 2*t**2 + 58*t/3 + 12 = 0.
-9, -1, 2
Solve 4*w**3 - 28*w**2 + 24*w = 0 for w.
0, 1, 6
Factor 4*w**5 + 84*w**4 + 480*w**3 + 400*w**2.
4*w**2*(w + 1)*(w + 10)**2
Find d, given that 6*d**4/5 + 6*d**3 - 66*d**2/5 - 198*d/5 - 108/5 = 0.
-6, -1, 3
Factor -36*g**4 - 264*g**3 - 580*g**2 - 400*g.
-4*g*(g + 4)*(3*g + 5)**2
Factor d**2/6 - 1783*d/3.
d*(d - 3566)/6
Solve -10*a**4/17 + 42*a**3/17 - 48*a**2/17 + 8*a/17 = 0.
0, 1/5, 2
Factor 2*l**2/17 - 48*l/17 + 88/17.
2*(l - 22)*(l - 2)/17
Suppose 4*u**2 + 2520*u + 396900 = 0. Calculate u.
-315
Suppose -2*l**5/9 + 130*l**4/9 - 246*l**3 + 11998*l**2/9 - 5984*l/9 - 6776/3 = 0. What is l?
-1, 2, 11, 42
Solve -7*m**5/5 - 3*m**4/5 + 11*m**3/5 + 3*m**2/5 - 4*m/5 = 0 for m.
-1, 0, 4/7, 1
Determine b, given that 2*b**3 + 210*b**2 + 814*b + 606 = 0.
-101, -3, -1
Determine x, given that 4*x**3 - 12*x**2 - 16*x + 48 = 0.
-2, 2, 3
Determine n so that 2*n**4 + 34*n**3 - 166*n**2 + 54*n + 252 = 0.
-21, -1, 2, 3
Factor -w**2 - 6*w + 40.
-(w - 4)*(w + 10)
Determine y so that y**2 - 140*y - 141 = 0.
-1, 141
Determine a so that 4*a**2 + 536*a - 540 = 0.
-135, 1
Factor 7*s**3 - 142*s**2 - 107*s + 42.
(s - 21)*(s + 1)*(7*s - 2)
What is y in -3*y**2 - 315*y + 318 = 0?
-106, 1
Factor -g**2/2 + 42*g + 86.
-(g - 86)*(g + 2)/2
What is y in -y**5 + 3*y**4 - 4*y**2 = 0?
-1, 0, 2
Factor 5*h**4 - 70*h**3 + 175*h**2 + 250*h.
5*h*(h - 10)*(h - 5)*(h + 1)
Solve -4*k**2 + 73184*k - 334743616 = 0 for k.
9148
Factor -i**2 - 8138*i - 16556761.
-(i + 4069)**2
Factor -2*x**2/5 - 12*x + 62/5.
-2*(x - 1)*(x + 31)/5
Find l, given that -5*l**3/7 - 4*l**2/7 + 5*l/7 + 4/7 = 0.
-1, -4/5, 1
Factor 7*g**4 - 30*g**3 + 36*g**2 - 8*g.
g*(g - 2)**2*(7*g - 2)
Factor 3*p**2 + 471*p.
3*p*(p + 157)
Let -2*h**5 + 4*h**4 + 6*h**3 = 0. What is h?
-1, 0, 3
Find c, given that 5*c**4/4 + 15*c**3/2 + 25*c**2/4 - 30*c - 45 = 0.
-3, -2, 2
Find h such that 5*h**4 + 25*h**3 + 30*h**2 = 0.
-3, -2, 0
Factor -4*y**5 + 52*y**4 - 132*y**3 + 124*y**2 - 40*y.
-4*y*(y - 10)*(y - 1)**3
Factor 4*n**3/5 - 308*n**2/5 - 952*n/5 - 128.
4*(n - 80)*(n + 1)*(n + 2)/5
Find g, given that g**2/3 + 2*g = 0.
-6, 0
Factor x**3/4 + 11*x**2/2 - 47*x/4 + 6.
(x - 1)**2*(x + 24)/4
Determine v so that 4*v**5 + 28*v**4