ctor -c**2 - 184*c + 1140.
-(c - 6)*(c + 190)
Factor 3*o**3/4 - 387*o**2 + 201231*o/4 - 198147/2.
3*(o - 257)**2*(o - 2)/4
Determine j so that -8*j**5 + 110*j**4 - 364*j**3 - 98*j**2 = 0.
-1/4, 0, 7
Factor 5*w**2 + 1070*w + 2120.
5*(w + 2)*(w + 212)
Suppose 5*f**3 + 145*f**2 + 255*f - 405 = 0. Calculate f.
-27, -3, 1
Solve 15*r**5/7 + 78*r**4 + 6771*r**3/7 + 33132*r**2/7 + 51084*r/7 + 15552/7 = 0.
-16, -9, -2, -2/5
Factor x**5/6 + 13*x**4/6 + 11*x**3/2 + 31*x**2/6 + 5*x/3.
x*(x + 1)**3*(x + 10)/6
Determine s so that -2*s**5 - 44*s**4 - 380*s**3 - 1608*s**2 - 3330*s - 2700 = 0.
-6, -5, -3
Suppose -5*s**5 - 35*s**4 + 40*s**3 = 0. Calculate s.
-8, 0, 1
Solve -4*q**3 + 34*q**2 - 16*q = 0.
0, 1/2, 8
Factor 3*m**4 + 117*m**3 - 9*m**2 - 345*m + 234.
3*(m - 1)**2*(m + 2)*(m + 39)
Factor 2*m**2/13 + 3832*m/13 + 1835528/13.
2*(m + 958)**2/13
Solve 5*v**3 + 60*v**2 + 225*v + 270 = 0 for v.
-6, -3
Factor 21*n**4/4 - 153*n**3/4 + 207*n**2/2 - 123*n + 54.
3*(n - 2)**3*(7*n - 9)/4
Determine m so that -300*m**5 + 8540*m**4 - 62688*m**3 + 26528*m**2 + 6720*m - 3136 = 0.
-1/3, 2/5, 14
Factor -4*x**3 - 44*x**2 - 124*x - 84.
-4*(x + 1)*(x + 3)*(x + 7)
Solve 5*q**2/3 + 20*q/3 - 160/3 = 0.
-8, 4
Let 686*s**5/13 + 12936*s**4/13 + 6202*s**3 + 157432*s**2/13 - 81312*s/13 - 170368/13 = 0. Calculate s.
-44/7, -1, 1
Suppose 3*o**5/4 - 21*o**4/4 + 9*o**3/2 + 24*o**2 - 24*o = 0. What is o?
-2, 0, 1, 4
Find u such that -4*u**2 - 232*u - 3364 = 0.
-29
Solve -3*h**5 - 6*h**4 + 195*h**3 + 390*h**2 - 192*h - 384 = 0.
-8, -2, -1, 1, 8
Let -2*v**4/7 - 160*v**3/7 - 3182*v**2/7 + 1440*v/7 + 28800/7 = 0. What is v?
-40, -3, 3
Factor -2*c**3/11 - 8*c**2/11 - 8*c/11.
-2*c*(c + 2)**2/11
Factor -4*q**3 - 24*q**2.
-4*q**2*(q + 6)
Let -3*c**2 - 618*c = 0. What is c?
-206, 0
Solve -6*x**4 + 123*x**3 + 483*x**2 + 498*x + 144 = 0 for x.
-2, -1, -1/2, 24
Factor -142884*v**2 - 3024*v - 16.
-4*(189*v + 2)**2
Let 4*t**3/7 + 4*t**2/7 - 8*t/7 = 0. Calculate t.
-2, 0, 1
Suppose -2*h**4 - 18*h**3 - 46*h**2 - 6*h + 72 = 0. What is h?
-4, -3, 1
Factor -s**4/3 - 8*s**3/3 + s**2/3 + 8*s/3.
-s*(s - 1)*(s + 1)*(s + 8)/3
Solve -4*g**4/3 - 56*g**3/3 - 196*g**2/3 - 48*g = 0 for g.
-9, -4, -1, 0
Determine q so that 5*q**5 + 90*q**4 - 45*q**3 - 830*q**2 - 300*q + 1080 = 0.
-18, -2, 1, 3
Factor 7*k**4 + 26*k**3 + 20*k**2 - 8*k.
k*(k + 2)**2*(7*k - 2)
Determine j, given that -j**2/9 + 2*j/9 = 0.
0, 2
Factor 3*x**4 - 1320*x**3 + 193158*x**2 - 9335088*x - 9529569.
3*(x - 147)**3*(x + 1)
Factor 10*q**2 + 354*q + 140.
2*(q + 35)*(5*q + 2)
Factor -3*r**4 + 42*r**3 - 183*r**2 + 252*r.
-3*r*(r - 7)*(r - 4)*(r - 3)
Factor 2*u**2/11 + 316*u/11 + 12482/11.
2*(u + 79)**2/11
Suppose 5*b**3 + 35*b**2 - 3170*b - 6440 = 0. What is b?
-28, -2, 23
Suppose 3*f**4 - 117*f**3 + 1308*f**2 - 1152*f - 33792 = 0. Calculate f.
-4, 11, 16
Factor -2*q**4/9 - 4*q**3/9 + 70*q**2/9.
-2*q**2*(q - 5)*(q + 7)/9
Find f, given that 4*f**4 - 66*f**3 - 554*f**2 - 996*f - 368 = 0.
-4, -2, -1/2, 23
Solve -c**4/6 + 2*c**3/3 - c**2/3 - 2*c/3 + 1/2 = 0.
-1, 1, 3
Suppose 4*t**4/9 + 28*t**3 + 164*t**2/3 + 244*t/9 = 0. What is t?
-61, -1, 0
What is t in 2*t**3/11 - 336*t**2/11 + 666*t/11 - 332/11 = 0?
1, 166
Factor -2*n**3/11 + 52*n**2/11 - 46*n/11 - 100/11.
-2*(n - 25)*(n - 2)*(n + 1)/11
Solve -i**3 - 87*i**2 - 1848*i + 1936 = 0.
-44, 1
Suppose -4*t**2 - 8*t + 32 = 0. Calculate t.
-4, 2
Let -4*j**3 + 40*j**2 - 12*j - 504 = 0. Calculate j.
-3, 6, 7
Determine o, given that -o**4/5 + 107*o**3/5 + 1263*o**2/5 + 821*o + 590 = 0.
-5, -1, 118
Factor 5*q**4 - 20*q**3 - 105*q**2 + 500*q - 500.
5*(q - 5)*(q - 2)**2*(q + 5)
Factor -35*z**2 + 375*z + 110.
-5*(z - 11)*(7*z + 2)
Factor 5*g**3 + 4885*g**2 + 9735*g - 14625.
5*(g - 1)*(g + 3)*(g + 975)
Factor 3*q**2 + 111*q + 396.
3*(q + 4)*(q + 33)
Factor -2*h**2/3 + 2282*h/3 - 4556/3.
-2*(h - 1139)*(h - 2)/3
Determine m so that -2*m**3/11 + 28*m**2/11 + 1630*m/11 - 1656/11 = 0.
-23, 1, 36
Factor -b**2/7 + 228*b - 90972.
-(b - 798)**2/7
Factor 50*q**5/7 - 80*q**4/7 + 12*q**3/7 + 16*q**2/7 + 2*q/7.
2*q*(q - 1)**2*(5*q + 1)**2/7
Find y, given that -4*y**5 + 3068*y**4 - 586752*y**3 - 589824*y**2 = 0.
-1, 0, 384
Solve -10*u**5 - 698*u**4 - 12790*u**3 - 21214*u**2 - 6800*u + 2312 = 0 for u.
-34, -1, 1/5
Find v such that 6*v**3/7 - 2613*v**2/7 - 5244*v/7 - 375 = 0.
-1, 875/2
Find n such that 5*n**2 - 360*n + 2835 = 0.
9, 63
Factor -f**2/4 + 4*f - 16.
-(f - 8)**2/4
Factor 2*d**4 - 30*d**3 + 54*d**2 - 26*d.
2*d*(d - 13)*(d - 1)**2
Factor 3*d**3/7 - 186*d**2/7 + 3483*d/7 - 17496/7.
3*(d - 27)**2*(d - 8)/7
Determine d so that -5*d**3 + 1290*d**2 - 110940*d + 3180280 = 0.
86
Factor -2*v**5/13 + 6*v**3/13 + 4*v**2/13.
-2*v**2*(v - 2)*(v + 1)**2/13
Solve 5*a**4 + 2005*a**3 + 203985*a**2 + 597995*a + 396010 = 0.
-199, -2, -1
Factor t**5/3 + 17*t**4/3 - 6*t**3.
t**3*(t - 1)*(t + 18)/3
Suppose -2*v**2/21 - 254*v/21 - 1648/7 = 0. What is v?
-103, -24
Factor 5*v**2 + 225*v + 220.
5*(v + 1)*(v + 44)
Factor -3*d**5 + 45*d**4 - 168*d**3.
-3*d**3*(d - 8)*(d - 7)
Find s, given that 4*s**2 + 40*s - 96 = 0.
-12, 2
Solve 2*i**5/5 + 26*i**4/5 + 92*i**3/5 + 88*i**2/5 - 16*i - 128/5 = 0.
-8, -2, 1
Factor c**3 - 3*c**2 - 24*c + 80.
(c - 4)**2*(c + 5)
Determine l, given that 8*l**5 + 192*l**4 - 1558*l**3 - 3618*l**2 - 2356*l - 480 = 0.
-30, -1, -1/2, 8
Factor -4*r**2 + 5480*r - 1876900.
-4*(r - 685)**2
Factor v**2/2 + 43*v/2 - 265.
(v - 10)*(v + 53)/2
Let -5*r**2 - 215*r - 210 = 0. Calculate r.
-42, -1
Factor 2*q**2/13 + 102*q/13 + 540/13.
2*(q + 6)*(q + 45)/13
Factor -3*i**3 - 39*i**2 - 141*i - 105.
-3*(i + 1)*(i + 5)*(i + 7)
Factor -r**2/7 + 18*r - 567.
-(r - 63)**2/7
Factor 2*t**5/7 - 20*t**4/7 + 8*t**3 - 48*t**2/7.
2*t**2*(t - 6)*(t - 2)**2/7
Factor m**2 - 6*m.
m*(m - 6)
Factor 2*f**4/7 - 34*f**3/7 + 128*f**2/7 - 96*f/7.
2*f*(f - 12)*(f - 4)*(f - 1)/7
Factor 735*c**4 - 2898*c**3 - 837*c**2/5 - 12*c/5.
3*c*(c - 4)*(35*c + 1)**2/5
Factor -k**4/2 + 7*k**3/2 - 13*k**2/2 - 3*k/2 + 9.
-(k - 3)**2*(k - 2)*(k + 1)/2
Suppose 3*y**5/7 + 69*y**4/7 + 360*y**3/7 - 432*y**2/7 = 0. Calculate y.
-12, 0, 1
Determine f, given that 3*f**5 - 18*f**4 + 33*f**3 - 6*f**2 - 36*f + 24 = 0.
-1, 1, 2
Factor j**3/4 - 615*j**2/2 + 126075*j - 17230250.
(j - 410)**3/4
Factor 4*p**2 - 584*p - 8268.
4*(p - 159)*(p + 13)
Factor k**2/2 - 5*k/2 - 3.
(k - 6)*(k + 1)/2
Factor 6*g**3 + 2471*g**2 + 254204*g - 42436.
(g + 206)**2*(6*g - 1)
Factor -9*k**3 + 16*k**2 - 5*k - 2.
-(k - 1)**2*(9*k + 2)
Suppose -k**3 + 18*k**2 + 85*k + 66 = 0. Calculate k.
-3, -1, 22
What is x in 5*x**5/8 + x**4/4 - 3*x**3/2 - x**2/4 + 7*x/8 = 0?
-7/5, -1, 0, 1
Solve 345*u**4 + 1788*u**3 + 315*u**2 - 1788*u - 660 = 0.
-110/23, -1, -2/5, 1
Factor n**3 - 19*n**2 - n + 19.
(n - 19)*(n - 1)*(n + 1)
Factor 2*w**3/3 - 34*w**2/3 - 932*w/3 - 896/3.
2*(w - 32)*(w + 1)*(w + 14)/3
Find d such that -d**3/4 + d**2/4 = 0.
0, 1
Find y such that -9*y**4 + 399*y**3 - 888*y**2 + 252*y = 0.
0, 1/3, 2, 42
Determine m so that m**5/5 - 23*m**4/5 - 57*m**3/5 + 179*m**2/5 - 20*m = 0.
-4, 0, 1, 25
Find u, given that 2*u**4 + 44*u**3 + 66*u**2 - 272*u + 160 = 0.
-20, -4, 1
Factor -p**2/2 - 19*p/2 - 24.
-(p + 3)*(p + 16)/2
Determine w so that 2*w**4/3 + 56*w**3/3 + 94*w**2 + 132*w = 0.
-22, -3, 0
Find p such that 4*p**2 - 2096*p + 2092 = 0.
1, 523
Suppose 5*f**3 - 1440*f**2 - 5825*f - 4380 = 0. What is f?
-3, -1, 292
What is k in -5*k**4 - 55*k**3 - 165*k**2 - 25*k + 250 = 0?
-5, -2, 1
Find y such that 4*y**5/3 - 26*y**4/3 + 46*y**3/3 - 22*y**2/3 - 10*y/3 + 8/3 = 0.
-1/2, 1, 4
Factor -5*w**4 - 40*w**3 + 5*w**2 + 40*w.
-5*w*(w - 1)*(w + 1)*(w + 8)
Factor -j**5 - 9*j**4 - 29*j**3 - 43*j**2 - 30*j - 8.
-(j + 1)**3*(j + 2)*(j + 4)
Solve 2*z**2 + 444*z - 896 = 0 for z.
-224, 2
Find a such that -6*a**4 - 68*a**3 - 168*a**2 + 144*a = 0.
-6, 0, 2/3
Factor -52*u**3/5 + 42*u**2 - 216*u/5 + 8/5.
-2*(u - 2)**2*(26*u - 1)/5
Factor -2*m**3/7 - 44*m**2 - 7298*m/7 + 380208/7.
-2*(m - 24)*(m + 89)**2/7
Factor 2*g**3 - 864*g**2 + 93312*g.
2*g*(g - 216)**2
Factor -9*d**3/4 - 32*d**2 - 469*d/4 - 49/2.
-(d + 7)**2*(9*d + 2)/4
Factor 5*q**4 - 310*q**3 - 660*q**2 + 1240*q + 2560.
5*(q - 64)*(q - 2)*(q + 2)**2
Solve 196*a**5 + 24416*a**4 + 13904*a**3 + 1984*a**2 = 0.
-124, -2/7, 0
Factor -2*x**2 - 10624*x - 14108672.
-2*(x + 2656)**2
Suppose -2*g**4/5 - 39