lculate l.
-4, 2/71, 1
Find w such that -2*w**4 + 20*w**3 + 454*w**2 - 2520*w - 31752 = 0.
-9, 14
Factor u**4/2 - 6*u**3.
u**3*(u - 12)/2
Determine s so that -2*s**2/15 - 4924*s/15 - 3030722/15 = 0.
-1231
Factor 3*x**5/4 + 186*x**4 + 43851*x**3/4 - 140601*x**2/2 + 143637*x - 96774.
3*(x - 2)**3*(x + 127)**2/4
Determine j, given that -15*j**4/4 + 9*j**3 - 3*j**2/2 - 9*j + 21/4 = 0.
-1, 1, 7/5
Factor 64*q**3 + 96*q**2 + 36*q + 4.
4*(q + 1)*(4*q + 1)**2
Solve l**3/4 + 15*l**2/4 - 4*l - 60 = 0.
-15, -4, 4
Factor -h**3 + 19*h**2 - 76*h + 84.
-(h - 14)*(h - 3)*(h - 2)
Find z, given that z**3/9 + 457*z**2/9 - 460*z/9 - 916/9 = 0.
-458, -1, 2
Factor -2*h**4/7 - 654*h**3/7 + 3972*h**2/7 - 7976*h/7 + 5328/7.
-2*(h - 2)**3*(h + 333)/7
Factor -4*f**3 - 32*f**2 + 256*f + 2048.
-4*(f - 8)*(f + 8)**2
Factor 2*a**3/3 + 166*a**2/3 + 326*a/3 + 54.
2*(a + 1)**2*(a + 81)/3
Factor -h**5/6 - h**4/3 - h**3/6.
-h**3*(h + 1)**2/6
Factor -2*c**4/5 + 201*c**3/5 - 4896*c**2/5 - 7803*c/5.
-c*(c - 51)**2*(2*c + 3)/5
Factor 33*j**3 + 1116*j**2 + 9333*j - 1734.
3*(j + 17)**2*(11*j - 2)
Factor 2*q**3/19 + 1832*q**2/19 + 3658*q/19 + 1828/19.
2*(q + 1)**2*(q + 914)/19
Factor 3*y**3 - 108*y**2 + 969*y.
3*y*(y - 19)*(y - 17)
Let 5*k**3 - 15*k**2 - 20*k + 60 = 0. Calculate k.
-2, 2, 3
Factor -3*u**3/4 - 309*u**2/2 - 33027*u/4 - 30603.
-3*(u + 4)*(u + 101)**2/4
Determine z, given that 235298*z**4/9 - 4802*z**3/3 + 98*z**2/3 - 2*z/9 = 0.
0, 1/49
Factor 2*s**3 + 26*s**2 + 46*s + 22.
2*(s + 1)**2*(s + 11)
Determine r, given that 3*r**5/8 + r**4/8 - 5*r**3/8 - r**2/8 + r/4 = 0.
-1, 0, 2/3, 1
Factor 2*d**3/11 + 486*d**2/11 + 39366*d/11 + 1062882/11.
2*(d + 81)**3/11
Factor 3*r**3 - 555*r**2 + 19584*r + 593028.
3*(r - 102)**2*(r + 19)
Factor -3*k**3 - 1836*k**2 - 277200*k + 1138368.
-3*(k - 4)*(k + 308)**2
What is v in -3*v**3/5 - 381*v**2/5 - 11904*v/5 + 12288/5 = 0?
-64, 1
Suppose -25*c**2 - 180*c + 405 = 0. What is c?
-9, 9/5
Determine d so that d**2 - 79*d - 80 = 0.
-1, 80
Determine i, given that -2*i**3 - 848*i**2 - 89888*i = 0.
-212, 0
Determine o, given that -2*o**4/3 - 4*o**3 + 62*o**2/3 + 24*o = 0.
-9, -1, 0, 4
Find r such that 5*r**4 + 5*r**3 - 260*r**2 + 220*r + 480 = 0.
-8, -1, 2, 6
Factor 4*d**3/5 - 4*d**2/5 - 52*d - 252/5.
4*(d - 9)*(d + 1)*(d + 7)/5
Let -2*c**4 - 46*c**3 - 30*c**2 + 3150*c = 0. Calculate c.
-15, 0, 7
Suppose 4*o**4 + 6100*o**3 + 3102864*o**2 + 527482816*o + 524386048 = 0. Calculate o.
-508, -1
Solve 4*g**2 + 60*g + 56 = 0 for g.
-14, -1
Solve 2*o**4/15 + 4*o**3/3 - 56*o**2/5 + 368*o/15 - 256/15 = 0 for o.
-16, 2
Factor -2*f**3/3 - 266*f**2/3 + 2*f/3 + 266/3.
-2*(f - 1)*(f + 1)*(f + 133)/3
Factor -5*j**2/4 + 295*j/4.
-5*j*(j - 59)/4
Factor -o**5/4 + o**4 - o**3/4 - 5*o**2/2 + o + 2.
-(o - 2)**3*(o + 1)**2/4
What is l in -10*l**4/3 + 232*l**3 + 570*l**2 + 1292*l/3 + 96 = 0?
-1, -2/5, 72
Factor -5*v**4 - 95*v**3 - 175*v**2 - 85*v.
-5*v*(v + 1)**2*(v + 17)
Suppose -3*g**5 - 3*g**4 + 93*g**3 + 3*g**2 - 90*g = 0. What is g?
-6, -1, 0, 1, 5
Let -2*l**3 + 10*l**2 - 16*l + 8 = 0. What is l?
1, 2
Solve -4*l**5 + 88*l**4 - 236*l**3 + 152*l**2 = 0.
0, 1, 2, 19
Factor 2*n**4 + 608*n**3 + 44348*n**2 - 282720*n + 432450.
2*(n - 3)**2*(n + 155)**2
Suppose 2*k**4/7 + 160*k**3/7 + 2846*k**2/7 - 2136*k - 2520 = 0. Calculate k.
-42, -1, 5
Factor 3*n**3/8 + 3*n**2/8 - 15*n/8 + 9/8.
3*(n - 1)**2*(n + 3)/8
Factor -2*g**4 - 42*g**3 - 306*g**2 - 918*g - 972.
-2*(g + 3)**2*(g + 6)*(g + 9)
Suppose -2*c**3/7 + 130*c**2/7 - 254*c/7 + 18 = 0. What is c?
1, 63
Factor -2*l**3 + 4*l**2 + 26*l + 20.
-2*(l - 5)*(l + 1)*(l + 2)
Factor -5*r**4 + 30*r**3 + 35*r**2.
-5*r**2*(r - 7)*(r + 1)
Factor -2*g**3/15 - 16*g**2/15 + 182*g/15 + 196/15.
-2*(g - 7)*(g + 1)*(g + 14)/15
What is a in 2*a**4/5 - 4*a**3 + 48*a**2/5 - 44*a/5 + 14/5 = 0?
1, 7
Factor d**2/7 + 82*d/7 + 1681/7.
(d + 41)**2/7
Factor -3*r**3 - 45*r**2 - 42*r.
-3*r*(r + 1)*(r + 14)
Factor w**3/8 + 6*w**2 - 55*w/8 - 147/4.
(w - 3)*(w + 2)*(w + 49)/8
Let -3*k**4/8 + 57*k**3/4 + 72*k**2 - 22113*k/4 + 124659/8 = 0. Calculate k.
-19, 3, 27
Factor -2*m**4/3 - 18*m**3 + 56*m**2/3.
-2*m**2*(m - 1)*(m + 28)/3
Factor -z**4/2 + 4*z**3 - 5*z**2/2 - 25*z.
-z*(z - 5)**2*(z + 2)/2
Factor 4*m**3 + 140*m**2 + 1628*m + 6292.
4*(m + 11)**2*(m + 13)
Solve 2*q**4/13 - 12*q**3/13 - 22*q**2/13 + 48*q/13 + 56/13 = 0.
-2, -1, 2, 7
Let -5*i**2 - 185*i + 190 = 0. What is i?
-38, 1
Factor 5*n**4 - 20*n**3 - 65*n**2 + 200*n + 240.
5*(n - 4)**2*(n + 1)*(n + 3)
Find x such that -4805*x**3 + 4185*x**2 + 680*x - 60 = 0.
-6/31, 2/31, 1
Let k**5/5 + 3*k**4/5 + 2*k**3/5 = 0. Calculate k.
-2, -1, 0
Determine p, given that -p**3/3 + 163*p**2/3 - 2392*p + 14196 = 0.
7, 78
Factor -12*z**2 - 11*z/2 - 1/2.
-(3*z + 1)*(8*z + 1)/2
Determine z, given that -2*z**3 + 764*z**2 - 72192*z - 147456 = 0.
-2, 192
Determine w, given that -w**4 + 48*w**3 - 375*w**2 + 952*w - 624 = 0.
1, 4, 39
Let 4*a**4 - 60*a**3 + 144*a**2 + 1024*a - 3072 = 0. What is a?
-4, 3, 8
Solve 2*s**3/3 - 3146*s**2/3 - 2*s/3 + 3146/3 = 0.
-1, 1, 1573
Factor -2*h**3/5 + 34*h**2/5 - 32*h/5.
-2*h*(h - 16)*(h - 1)/5
Determine f so that 2*f**2 + 36*f - 486 = 0.
-27, 9
Find a, given that 2*a**5/7 + 16*a**4/7 - 4*a**3/7 - 32*a**2/7 + 2*a/7 + 16/7 = 0.
-8, -1, 1
Factor 2*r**2 - 36*r - 38.
2*(r - 19)*(r + 1)
Factor -o**3/2 - 153*o**2/2 - 599*o/2 - 447/2.
-(o + 1)*(o + 3)*(o + 149)/2
What is f in -3*f**5/8 - 3*f**4/8 + 6*f**3 - 15*f**2/2 = 0?
-5, 0, 2
Factor 2*h**3/9 - 28*h**2/9 + 2*h + 72.
2*(h - 9)**2*(h + 4)/9
Determine z, given that 7*z**5 + 11*z**4 - 41*z**3 - 27*z**2 + 18*z = 0.
-3, -1, 0, 3/7, 2
Factor -3*j**2/5 + 579*j/5 - 564.
-3*(j - 188)*(j - 5)/5
Suppose -2*j**2 + 568*j + 2890 = 0. What is j?
-5, 289
Solve -10*n**3 - 385*n**2 - 3800*n - 1805 = 0 for n.
-19, -1/2
What is f in f**2 - 25*f + 100 = 0?
5, 20
Let a**4 + 11*a**3/3 - 157*a**2/3 + 107*a - 30 = 0. What is a?
-10, 1/3, 3
Let 55*o**2 - 115*o + 10 = 0. What is o?
1/11, 2
Suppose u**4/5 - 24*u**3/5 - 33*u**2/5 + 188*u/5 + 60 = 0. What is u?
-2, 3, 25
Suppose b**3 - 56*b**2 + 925*b - 3750 = 0. Calculate b.
6, 25
Factor 2*v**5 - 22*v**4/3 + 4*v**3.
2*v**3*(v - 3)*(3*v - 2)/3
Factor -3*c**4 - 30*c**3 - 75*c**2.
-3*c**2*(c + 5)**2
Factor 3*t**5 + 102*t**4 + 963*t**3 + 1632*t**2 + 768*t.
3*t*(t + 1)**2*(t + 16)**2
Determine w, given that 2*w**3 - 10*w**2 - 34*w + 42 = 0.
-3, 1, 7
Find f such that 213444*f**2 + 924*f + 1 = 0.
-1/462
Solve 2*j**5 - 22*j**4 + 92*j**3 - 184*j**2 + 176*j - 64 = 0 for j.
1, 2, 4
What is c in 2*c**3/15 - 2*c**2/5 + 4*c/15 = 0?
0, 1, 2
Solve -2*c**2 - 38*c + 40 = 0 for c.
-20, 1
Let 2*g**2 - 1220*g + 186050 = 0. What is g?
305
Factor -3*m**3 + 1185*m**2 - 117609*m + 116427.
-3*(m - 197)**2*(m - 1)
Find k, given that 10*k**2 - 35*k/3 - 65/3 = 0.
-1, 13/6
Factor -5*l**4 - 10*l**3 - 5*l**2.
-5*l**2*(l + 1)**2
Suppose f**5/12 + 17*f**4/6 - f**3/12 - 17*f**2/6 = 0. What is f?
-34, -1, 0, 1
Solve d**2 + 5516*d + 7606564 = 0.
-2758
Factor 2*y**2/13 - 94*y/13.
2*y*(y - 47)/13
Factor -d**4 - 4*d**3 - d**2 + 6*d.
-d*(d - 1)*(d + 2)*(d + 3)
What is c in 5*c**3 + 1380*c**2 + 2740*c = 0?
-274, -2, 0
Suppose -h**2/3 + 59*h/3 + 130 = 0. What is h?
-6, 65
Factor y**3/5 + 12*y**2/5 + 29*y/5 - 42/5.
(y - 1)*(y + 6)*(y + 7)/5
Factor -2*m**3/9 + 36*m**2 + 326*m/9.
-2*m*(m - 163)*(m + 1)/9
Find q such that 3*q**3/2 + 9*q**2/2 - 27*q - 60 = 0.
-5, -2, 4
Solve -9*r**4 + 78*r**3 - 3*r**2 - 786*r + 504 = 0.
-3, 2/3, 4, 7
Factor 5*u**5 + 175*u**4 + 2330*u**3 + 14320*u**2 + 37760*u + 25600.
5*(u + 1)*(u + 8)**3*(u + 10)
Factor -4*w**5 + 56*w**4 + 124*w**3 + 64*w**2.
-4*w**2*(w - 16)*(w + 1)**2
Find b, given that b**4/2 + 17*b**3/2 - 165*b**2/2 - 2925*b/2 = 0.
-15, 0, 13
Suppose -20*f**5 - 555*f**4 - 5700*f**3 - 25420*f**2 - 39360*f + 11520 = 0. What is f?
-8, -6, 1/4
Factor p**2/5 - 7496*p/5 + 14047504/5.
(p - 3748)**2/5
Find x such that 15*x**4 + 57*x**3 - 30*x**2 - 72*x = 0.
-4, -1, 0, 6/5
Solve -16*m**3 - 20*m**2 + 28*m + 8 = 0 for m.
-2, -1/4, 1
Suppose 2*j**2 + 12*j + 18 = 0. What is j?
-3
Suppose -n**4 - 8*n**3/3 + 46*n**2 - 96*n + 27 = 0. Calculate n.
-9, 1/3, 3
Factor 27*o**3 - 852*o**2 - 1148*o/3 - 128/3.
(o - 32)*(9*o + 2)**2/3
Let 5*b**3 + 830*b**2 + 1645*b + 820 = 0. Calculate b.
-164, -1
Factor -20*u**2 + 5644*u - 1128.
-4*(u - 282)*(5*u - 1)
Factor