**3 - 33*c**2 = 0.
0, 3, 11
What is w in -w**2 + 16*w - 60 = 0?
6, 10
Factor 2*n**2/9 - 1192*n/9 - 2392/9.
2*(n - 598)*(n + 2)/9
Solve 3*n**3 + 831*n**2 + 8085*n + 20025 = 0 for n.
-267, -5
Factor t**2/9 + 7*t/3 + 6.
(t + 3)*(t + 18)/9
Factor 12*l**2 + 75*l + 117.
3*(l + 3)*(4*l + 13)
Let -n**3 - 5*n**2 - 6*n = 0. What is n?
-3, -2, 0
Factor -3*r**3/4 + 1047*r**2/2 - 2085*r/4 - 2091/2.
-3*(r - 697)*(r - 2)*(r + 1)/4
Let -4*d**2/7 - 6536*d/7 + 6540/7 = 0. Calculate d.
-1635, 1
Factor 16*n**2/5 - 12*n/5 - 28/5.
4*(n + 1)*(4*n - 7)/5
Factor x**4/6 - 11*x**3/6 + 43*x**2/6 - 23*x/2 + 6.
(x - 4)*(x - 3)**2*(x - 1)/6
Suppose 3*p**3 - 51*p**2 + 42*p + 96 = 0. What is p?
-1, 2, 16
Factor -2*j**3/5 + 266*j**2/5 - 156*j.
-2*j*(j - 130)*(j - 3)/5
Factor -4*t**3 - 8460*t**2 - 5964300*t - 1401610500.
-4*(t + 705)**3
Factor -5*y**3 - 24*y**2 - 84*y/5 - 16/5.
-(y + 4)*(5*y + 2)**2/5
Solve o**4/5 + 21*o**3/5 + 39*o**2/5 + 19*o/5 = 0.
-19, -1, 0
Factor 2*a**3/11 - 46*a**2/11 - 2*a/11 + 46/11.
2*(a - 23)*(a - 1)*(a + 1)/11
What is r in -r**2/3 - 13*r - 170/3 = 0?
-34, -5
Factor 5*v**3 + 390*v**2 + 1500*v + 1480.
5*(v + 2)**2*(v + 74)
Solve 2*k**3 + 26*k**2/7 + 10*k/7 - 2/7 = 0 for k.
-1, 1/7
Let 14*b**5 + 270*b**4 + 1196*b**3 - 1080*b**2 - 400*b = 0. What is b?
-10, -2/7, 0, 1
Factor -3*g**3 - 696*g**2 + 705*g + 1398.
-3*(g - 2)*(g + 1)*(g + 233)
Let 2*o**5 - 13*o**4 + 24*o**3 - 17*o**2 + 4*o = 0. What is o?
0, 1/2, 1, 4
Solve 12*q**4 + 352*q**3 - 1824*q**2 + 2688*q - 1088 = 0 for q.
-34, 2/3, 2
Solve 4*b**4 - 234*b**3 - 122*b**2 + 234*b + 118 = 0 for b.
-1, -1/2, 1, 59
Determine v so that 4*v**3 + 1032*v**2 + 66564*v = 0.
-129, 0
Solve 5*b**3 - 80*b**2 + 145*b - 70 = 0 for b.
1, 14
Let -3*o**3/2 + 399*o**2/2 + 807*o/2 + 405/2 = 0. Calculate o.
-1, 135
Factor -256*q**5 + 1984*q**4 - 5616*q**3 + 6804*q**2 - 2916*q.
-4*q*(q - 1)*(4*q - 9)**3
Determine i so that i**4/6 - i**3/3 + i**2/6 = 0.
0, 1
Factor -4*y**2 + 8512*y - 4528384.
-4*(y - 1064)**2
Factor 4*k**2 - 764*k + 760.
4*(k - 190)*(k - 1)
Factor 45*r**4 - 1450*r**3 + 3020*r**2 - 600*r.
5*r*(r - 30)*(r - 2)*(9*r - 2)
Factor -25*c**3/4 - 20*c**2 + 91*c/4 + 169/2.
-(c - 2)*(5*c + 13)**2/4
What is b in 2*b**5/17 - 44*b**4/17 + 316*b**3/17 - 832*b**2/17 + 882*b/17 - 324/17 = 0?
1, 2, 9
Determine v, given that -5*v**3 + 875*v**2 + 880*v = 0.
-1, 0, 176
Solve 2*y**4/13 + 30*y**3/13 + 90*y**2/13 + 10*y/13 - 132/13 = 0 for y.
-11, -3, -2, 1
Factor a**5 - 7*a**4 + 14*a**3 - 2*a**2 - 15*a + 9.
(a - 3)**2*(a - 1)**2*(a + 1)
Factor 3*b**2/4 + 1362*b + 618348.
3*(b + 908)**2/4
Solve -10*w**2 - 514*w + 848 = 0 for w.
-53, 8/5
Let -2*x**3 - 16*x**2 - 10*x + 100 = 0. What is x?
-5, 2
Factor -l**2/6 - 16*l + 99/2.
-(l - 3)*(l + 99)/6
Factor -2*d**2/7 + 396*d/7 - 394/7.
-2*(d - 197)*(d - 1)/7
Suppose -j**3/8 + 5*j**2/8 - 7*j/8 + 3/8 = 0. Calculate j.
1, 3
Factor -2*y**2/11 + 80*y/11 - 78/11.
-2*(y - 39)*(y - 1)/11
Suppose -i**5/3 - 83*i**4/3 - 2360*i**3/3 - 25576*i**2/3 - 25520*i - 22800 = 0. Calculate i.
-30, -19, -2
Factor v**2/4 - 45*v/2 + 2025/4.
(v - 45)**2/4
Suppose -2*w**4/9 + 22*w**3/9 - 62*w**2/9 + 14*w/3 = 0. What is w?
0, 1, 3, 7
What is l in -3*l**4 + 57*l**3 - 48*l**2 - 108*l = 0?
-1, 0, 2, 18
Factor -3*w**4 - 141*w**3 + 3*w**2 + 141*w.
-3*w*(w - 1)*(w + 1)*(w + 47)
Factor 2*b**4/5 + 66*b**3/5 - 28*b**2.
2*b**2*(b - 2)*(b + 35)/5
Solve 2*i**5/3 + 44*i**4/3 + 80*i**3/3 - 4*i**2/3 - 82*i/3 - 40/3 = 0 for i.
-20, -1, 1
Factor 3*k**4/5 - 2*k**3 - 8*k**2/5 + 26*k/5 + 21/5.
(k - 3)*(k + 1)**2*(3*k - 7)/5
Factor -t**4/4 - 4*t**3 + 3*t**2/4 + 23*t/2 - 8.
-(t - 1)**2*(t + 2)*(t + 16)/4
Suppose 3*q**5/7 - 135*q**4/7 + 1821*q**3/7 - 6849*q**2/7 + 8760*q/7 - 3600/7 = 0. Calculate q.
1, 3, 20
Factor 5*k**4 - 45*k**3 - 1065*k**2 + 2245*k - 1140.
5*(k - 19)*(k - 1)**2*(k + 12)
Factor o**4/4 + 11*o**3/4 + 9*o**2/2 - 27*o - 54.
(o - 3)*(o + 2)*(o + 6)**2/4
Let 16*j**4/7 + 80*j**3/7 - 204*j**2/7 + 136*j/7 - 4 = 0. Calculate j.
-7, 1/2, 1
What is w in -15*w**5 + 70*w**4 - 85*w**3 + 30*w**2 = 0?
0, 2/3, 1, 3
Determine q so that 28*q**2 - 404*q + 168 = 0.
3/7, 14
Find q such that q**3/3 + 34*q**2/3 + 115*q + 300 = 0.
-15, -4
Find x, given that 5*x**2 - 290*x - 10920 = 0.
-26, 84
Suppose 5*o**4 - 25*o**3 - 140*o**2 + 160*o = 0. Calculate o.
-4, 0, 1, 8
What is s in -2*s**5/5 + 34*s**3/5 - 32*s/5 = 0?
-4, -1, 0, 1, 4
What is r in 4*r**4 - 80*r**3 + 296*r**2 + 848*r + 468 = 0?
-1, 9, 13
Determine z so that z**4/4 - 11*z**3/2 + 36*z**2 - 32*z - 256 = 0.
-2, 8
Let -r**2/6 - 35*r/6 - 11 = 0. What is r?
-33, -2
Suppose b**2/8 + 99*b/4 + 9801/8 = 0. Calculate b.
-99
Find c, given that 2*c**5/5 + 112*c**4/5 + 264*c**3 - 1440*c**2 = 0.
-30, 0, 4
Factor 2*i**2/9 + 2138*i/9.
2*i*(i + 1069)/9
Factor -2*b**3/5 - 48*b**2/5 - 46*b/5.
-2*b*(b + 1)*(b + 23)/5
Suppose -3*j**5/8 + 11*j**4/8 - 5*j**2 + 6*j - 2 = 0. Calculate j.
-2, 2/3, 1, 2
Suppose 3*w**2 + 234*w + 2040 = 0. Calculate w.
-68, -10
Factor 4*g**2 - 2500*g - 2504.
4*(g - 626)*(g + 1)
Factor u**3/4 - 631*u**2/2 + 1259*u - 1258.
(u - 1258)*(u - 2)**2/4
Let 35*j**5 + 25*j**4 - 325*j**3 + 475*j**2 - 250*j + 40 = 0. What is j?
-4, 2/7, 1
Let -3*r**4/2 - 15*r**3/2 - 9*r**2/2 + 15*r/2 + 6 = 0. Calculate r.
-4, -1, 1
Let 4*g**4 - 132*g**3 - 420*g**2 - 428*g - 144 = 0. What is g?
-1, 36
Factor -4*q**2/9 + 64*q/9 - 64/3.
-4*(q - 12)*(q - 4)/9
Find i, given that 48*i**3 + 312*i**2 + 147*i + 18 = 0.
-6, -1/4
Let -10*n**4/3 + 14*n**3 - 58*n**2/3 + 10*n - 4/3 = 0. What is n?
1/5, 1, 2
Solve 4*b**5/5 + 8*b**4/5 - 52*b**3/5 + 8*b**2 = 0 for b.
-5, 0, 1, 2
Let -2*v**5 - 7*v**4/3 - v**3/3 = 0. Calculate v.
-1, -1/6, 0
Let 2*l**3/3 + 22*l**2/3 + 2*l - 90 = 0. Calculate l.
-9, -5, 3
Factor -t**2/8 + t/4 + 35/8.
-(t - 7)*(t + 5)/8
Factor -f**2/5 - 43*f/5.
-f*(f + 43)/5
Factor -b**3/2 + 12517*b**2/2 - 39162563*b/2 - 39175081/2.
-(b - 6259)**2*(b + 1)/2
Factor -26*m**2 + 112*m.
-2*m*(13*m - 56)
Factor -i**3/8 - 65*i**2/8 - 153*i/4 - 45.
-(i + 2)*(i + 3)*(i + 60)/8
Determine p, given that p**2/5 + 999*p/5 + 998/5 = 0.
-998, -1
Factor -3*c**5/7 - 6*c**4/7 + 141*c**3/7 + 348*c**2/7 - 240*c - 4800/7.
-3*(c - 5)**2*(c + 4)**3/7
Factor -h**5 - 14*h**4 - 48*h**3 - 18*h**2 + 81*h.
-h*(h - 1)*(h + 3)**2*(h + 9)
Solve 2*o**3 - 4*o**2 - 42*o - 36 = 0.
-3, -1, 6
Determine y, given that -11*y**2/9 - 58*y/3 + 32/9 = 0.
-16, 2/11
Factor -2*h**3/3 - 298*h**2/3 - 196*h.
-2*h*(h + 2)*(h + 147)/3
Let -5*c**2 + 150*c + 320 = 0. Calculate c.
-2, 32
Let 2*q**5 + 36*q**4 + 74*q**3 - 792*q**2 + 968*q = 0. What is q?
-11, 0, 2
Factor -2*q**2/15 + 4216*q/15 + 1406/5.
-2*(q - 2109)*(q + 1)/15
Find c, given that 3*c**2/2 - 24*c + 117/2 = 0.
3, 13
Factor -3*x**5 + 24*x**4 - 36*x**3 - 6*x**2 + 39*x - 18.
-3*(x - 6)*(x - 1)**3*(x + 1)
Factor -2*l**3/3 - 2*l**2/3 + 4*l/3.
-2*l*(l - 1)*(l + 2)/3
Solve 2*o**3 - 2*o**2 - 4*o = 0 for o.
-1, 0, 2
Factor 135*r**5 + 135*r**4 - 1170*r**3 - 1210*r**2 - 405*r - 45.
5*(r - 3)*(r + 3)*(3*r + 1)**3
Find d such that -2*d**4 - 18*d**3 - 20*d**2 + 72*d + 112 = 0.
-7, -2, 2
Factor 2*m**4 - 30*m**3 + 98*m**2 - 114*m + 44.
2*(m - 11)*(m - 2)*(m - 1)**2
Factor -5*l**3 - 243*l**2 - 2775*l + 4375.
-(l + 25)**2*(5*l - 7)
Factor -7*k**5 + 33*k**4 - 53*k**3 + 31*k**2 - 4.
-(k - 2)*(k - 1)**3*(7*k + 2)
Suppose -36*v**2 + 141*v - 138 = 0. What is v?
23/12, 2
Suppose -a**4/7 + 5*a**3 - 128*a**2/7 + 124*a/7 = 0. Calculate a.
0, 2, 31
Factor -10*g**4 - 95*g**3 + 50*g**2.
-5*g**2*(g + 10)*(2*g - 1)
Factor 2*d**2 - 410*d + 408.
2*(d - 204)*(d - 1)
Suppose 5*l**2 + 385*l + 380 = 0. Calculate l.
-76, -1
What is z in -147*z**3/5 - 567*z**2/5 + 792*z/5 - 48 = 0?
-5, 4/7
Let 2*b**4/7 + 24*b**3/7 - 218*b**2/7 - 24*b/7 + 216/7 = 0. What is b?
-18, -1, 1, 6
Factor 2*o**3/5 - 214*o**2/5 - 2*o/5 + 214/5.
2*(o - 107)*(o - 1)*(o + 1)/5
Let -2*x**4/7 - 62*x**3/7 + 2*x**2/7 + 62*x/7 = 0. What is x?
-31, -1, 0, 1
Factor -4*t**2/9 - 116*t + 5320/9.
-4*(t - 5)*(t + 266)/9
Factor -p**3/3 + 7*p**2 - 20*p/3.
-p*(p - 20)*(p - 1)/3
Solve -4*p**4 - 252*p**3 - 732*p**2 - 724*p - 240 = 0 for p.
-60, -1
Factor -2*j**2/9 + 1714*j/3 - 5140/9.
-2*(j - 2570)*(j - 1)/9
Suppose -2*j**3 + 6*j**2 - 4*j = 0. What is j?
0, 1, 2
What is q in -3*q**5 - 1062*q**4 - 141504*q**3 - 8456448*q**2 - 196263936*q - 359817216 = 0?
-88, -2
Let 3*c**5 + 120*c**4 - 1080*c