- 3*b/2 + 3 = 0.
-2, 1
Determine x so that 8*x**3/9 - 170*x**2/9 + 146*x/9 + 36 = 0.
-1, 2, 81/4
Factor 25*k**2/4 - 905*k/4 + 45.
5*(k - 36)*(5*k - 1)/4
Factor -4*x**2 - 196*x + 200.
-4*(x - 1)*(x + 50)
What is z in -4*z**4 + 220*z**3 + 684*z**2 + 692*z + 232 = 0?
-1, 58
Factor 2*j**3/11 - 48*j**2/11 + 130*j/11 - 84/11.
2*(j - 21)*(j - 2)*(j - 1)/11
Factor 5*m**4 + 440*m**3 + 435*m**2.
5*m**2*(m + 1)*(m + 87)
Find f, given that -3*f**4 - 6*f**3 - 3*f**2 = 0.
-1, 0
Factor 3*h**5 + 162*h**4 + 3192*h**3 + 25872*h**2 + 49392*h - 230496.
3*(h - 2)*(h + 14)**4
Factor 92*i**4 + 100*i**3 + 8*i**2.
4*i**2*(i + 1)*(23*i + 2)
Factor 4*y**2 + 240*y + 464.
4*(y + 2)*(y + 58)
Determine w so that 4*w**3 - 65*w**2 + 16*w = 0.
0, 1/4, 16
Factor 4*l**2/3 + 64*l - 6160/3.
4*(l - 22)*(l + 70)/3
Factor w**4 - 7*w**3 + 8*w**2 + 16*w.
w*(w - 4)**2*(w + 1)
Factor 5*s**5 - 80*s**4 + 405*s**3 - 910*s**2 + 940*s - 360.
5*(s - 9)*(s - 2)**3*(s - 1)
Find i, given that -i**2/7 - 109*i/7 - 108/7 = 0.
-108, -1
Factor 2*o**2/15 + 32*o/5.
2*o*(o + 48)/15
Find p, given that 2*p**5/7 + 12*p**4/7 - 38*p**3/7 - 176*p**2/7 - 24*p/7 + 32 = 0.
-7, -2, 1, 4
Factor b**4/2 + 179*b**3 + 713*b**2/2 + 178*b.
b*(b + 1)**2*(b + 356)/2
Factor 20*j**5 + 156*j**4 + 576*j**3/5 + 112*j**2/5.
4*j**2*(j + 7)*(5*j + 2)**2/5
Let 2*v**2/5 - 58*v/5 - 192/5 = 0. Calculate v.
-3, 32
Find y, given that 9*y**3 - 1158*y**2/7 - 105*y - 114/7 = 0.
-1/3, -2/7, 19
Factor 3*d**3/8 + 1092*d**2 + 794976*d.
3*d*(d + 1456)**2/8
Solve -32*b**5/17 + 48*b**4 - 322*b**3/17 - 1916*b**2/17 - 846*b/17 - 100/17 = 0 for b.
-1, -1/4, 2, 25
Factor -q**3/2 + 86*q**2 + 347*q/2 + 87.
-(q - 174)*(q + 1)**2/2
Find p such that -3*p**3 - 90*p**2 + 741*p - 1332 = 0.
-37, 3, 4
Suppose -j**5/6 - j**4/3 + j**3/2 + 4*j**2/3 + 2*j/3 = 0. Calculate j.
-2, -1, 0, 2
Determine w so that 118*w**2 + 822*w - 28 = 0.
-7, 2/59
Solve -4*s**2 + 120*s = 0.
0, 30
Determine q so that 5*q**5 + 25*q**4 - 110*q**3 + 80*q**2 = 0.
-8, 0, 1, 2
Let -2*k**2/5 + 376*k/5 - 17672/5 = 0. Calculate k.
94
Factor 27*q**3 + 480*q**2 + 2079*q - 486.
3*(q + 9)**2*(9*q - 2)
What is h in 5*h**5 + 40*h**4 + 55*h**3 - 40*h**2 - 60*h = 0?
-6, -2, -1, 0, 1
Determine j, given that -5*j**4 - 3450*j**3 = 0.
-690, 0
Factor t**4/2 - 7*t**3/2 + 6*t**2 + 2*t - 8.
(t - 4)*(t - 2)**2*(t + 1)/2
Solve 4*b**5 + 16*b**4 - 36*b**3 - 256*b**2 - 400*b - 192 = 0.
-3, -2, -1, 4
Factor -f**3/9 + f/9.
-f*(f - 1)*(f + 1)/9
Find w, given that 2*w**4/3 + 194*w**3/15 + 192*w**2/5 + 104*w/3 + 128/15 = 0.
-16, -2, -1, -2/5
Solve -2*f**2/3 + 10*f/3 + 16 = 0 for f.
-3, 8
Factor -3*r**2/2 - 60*r + 123/2.
-3*(r - 1)*(r + 41)/2
Determine n so that n**2/7 - 9362*n/7 + 21911761/7 = 0.
4681
Factor i**2 + 65*i.
i*(i + 65)
Determine c, given that 5*c**5 + 30*c**4 - 50*c**3 - 80*c**2 + 165*c - 70 = 0.
-7, -2, 1
Determine h so that h**2 - 2*h = 0.
0, 2
Solve 4*l**3 + 8*l**2 - 12*l = 0.
-3, 0, 1
Factor m**5/3 + m**4 - 2*m**3/3 - 4*m**2 - 8*m/3.
m*(m - 2)*(m + 1)*(m + 2)**2/3
Suppose -f**4/4 - 11*f**3/4 = 0. Calculate f.
-11, 0
Find y, given that -18*y**2/11 + 400*y/11 - 8 = 0.
2/9, 22
Determine r so that -2*r**2 - 14*r - 12 = 0.
-6, -1
Solve g**2/4 - 1619*g + 2621161 = 0.
3238
What is u in -u**5/2 - 15*u**4/2 - 67*u**3/2 - 129*u**2/2 - 56*u - 18 = 0?
-9, -2, -1
Factor -6*b**5 + 998*b**4 - 332*b**3.
-2*b**3*(b - 166)*(3*b - 1)
Suppose 2*m**2 - 458*m/5 - 3696/5 = 0. Calculate m.
-7, 264/5
Factor b**5/4 - b**4 - 165*b**3/4.
b**3*(b - 15)*(b + 11)/4
Factor -c**5 + 27*c**4 - 113*c**3 + 57*c**2 + 198*c.
-c*(c - 22)*(c - 3)**2*(c + 1)
Factor 5*h**4 - 700*h**3 + 3985*h**2 + 4690*h.
5*h*(h - 134)*(h - 7)*(h + 1)
Solve 3*i**2 + 28*i - 20 = 0 for i.
-10, 2/3
Factor -3*k**4 + 51*k**3 - 126*k**2 - 12*k + 168.
-3*(k - 14)*(k - 2)**2*(k + 1)
Find k, given that 2*k**2 - 28*k + 96 = 0.
6, 8
Solve -y**2/8 - y/2 = 0 for y.
-4, 0
Find j such that 5*j**5 + 5*j**4 - 50*j**3 + 40*j**2 = 0.
-4, 0, 1, 2
Determine o, given that -o**2 + 19*o - 78 = 0.
6, 13
Determine t so that 2*t**2/7 - 32*t/7 - 72/7 = 0.
-2, 18
Factor h**5 + 9*h**4 + 7*h**3 - 9*h**2 - 8*h.
h*(h - 1)*(h + 1)**2*(h + 8)
Factor 5*r**4 + 10*r**3 - 75*r**2.
5*r**2*(r - 3)*(r + 5)
Factor 3*p**4 + 213*p**3 + 819*p**2 + 1011*p + 402.
3*(p + 1)**2*(p + 2)*(p + 67)
Suppose 5*f**4 + 127*f**3 - 80*f**2 - 52*f = 0. Calculate f.
-26, -2/5, 0, 1
Factor -2*j**3/7 + 20*j**2/7 + 26*j/7 - 44/7.
-2*(j - 11)*(j - 1)*(j + 2)/7
Suppose 80*w**5/21 + 2*w**4/7 = 0. What is w?
-3/40, 0
Let -4*u**4 + 368*u**3 + 1140*u**2 + 16*u - 1520 = 0. What is u?
-2, 1, 95
Factor -3*h**3 - 4455*h**2 + 4458*h.
-3*h*(h - 1)*(h + 1486)
Solve -4*h**5 + 166*h**4 - 390*h**3 - 10*h**2 + 394*h - 156 = 0.
-1, 1/2, 1, 2, 39
Factor 4*j**2 - 2456*j.
4*j*(j - 614)
Find x, given that -3*x**3/5 + 24*x**2/5 - 39*x/5 + 18/5 = 0.
1, 6
What is r in -3*r**4 - r**3 + 53*r**2 - 79*r + 30 = 0?
-5, 2/3, 1, 3
Suppose -2*i**5/9 - 56*i**4/9 - 100*i**3/3 + 776*i**2/9 - 418*i/9 = 0. What is i?
-19, -11, 0, 1
Solve 2*v**3/19 - 60*v**2/19 - 198*v/19 = 0.
-3, 0, 33
Factor -2*c**5 + 16*c**3 - 32*c.
-2*c*(c - 2)**2*(c + 2)**2
Let s**5/2 + 29*s**4/2 + 151*s**3 + 731*s**2 + 3345*s/2 + 2925/2 = 0. Calculate s.
-13, -5, -3
Factor -3*x**3 + 5223*x**2 + 3*x - 5223.
-3*(x - 1741)*(x - 1)*(x + 1)
Determine p, given that 6*p**4/5 + 17*p**3/5 - 81*p**2/5 - 77*p/5 + 3 = 0.
-5, -1, 1/6, 3
Suppose -k**2 - 6*k - 5 = 0. What is k?
-5, -1
Factor 4*i**3 - 172*i**2 - 356*i - 180.
4*(i - 45)*(i + 1)**2
Suppose 20*t**2/3 + 296*t/3 + 224/3 = 0. Calculate t.
-14, -4/5
Determine k so that 2*k**4/7 + 26*k**3/7 - 90*k**2/7 + 94*k/7 - 32/7 = 0.
-16, 1
Suppose 4*g**3 + 736*g**2 + 33856*g = 0. What is g?
-92, 0
Factor 14*p**2 - 46*p.
2*p*(7*p - 23)
Suppose 4*p**2/5 - 24*p/5 - 28/5 = 0. Calculate p.
-1, 7
Find h such that -81*h**4 - 1941*h**3 - 3573*h**2 - 1647*h + 66 = 0.
-22, -1, 1/27
Factor 2*c**4 + 48*c**3 - 156*c**2 + 160*c - 54.
2*(c - 1)**3*(c + 27)
Find d, given that -2*d**5/3 - 8*d**4/3 + 38*d**3/3 + 140*d**2/3 - 64*d - 192 = 0.
-4, -2, 3
Let -3*u**2/2 - 243*u - 19683/2 = 0. Calculate u.
-81
Suppose 18*r**5 - 74*r**4 - 10*r**3 + 74*r**2 - 8*r = 0. Calculate r.
-1, 0, 1/9, 1, 4
Determine v, given that 3*v**2 - 3606*v + 1083603 = 0.
601
Solve -d**2/3 + 40*d/3 - 77 = 0 for d.
7, 33
Factor -3*d**4 - 21*d**3 - 18*d**2 + 96*d + 96.
-3*(d - 2)*(d + 1)*(d + 4)**2
What is o in 4*o**2/5 - 2176*o/5 + 295936/5 = 0?
272
Factor -57*i**2 + 63*i - 6.
-3*(i - 1)*(19*i - 2)
Suppose -4*b**4 - 9584*b**3 - 5750388*b**2 - 11462472*b = 0. What is b?
-1197, -2, 0
Factor -2*m**2 - 1938*m - 1936.
-2*(m + 1)*(m + 968)
Factor -2*p**2/17 - 78*p/17 + 164/17.
-2*(p - 2)*(p + 41)/17
Factor 2*b**3/3 - 58*b**2/3 - 2*b/3 + 58/3.
2*(b - 29)*(b - 1)*(b + 1)/3
Factor -2*w**3/9 - 26*w**2/9 + 2*w/9 + 26/9.
-2*(w - 1)*(w + 1)*(w + 13)/9
Determine g, given that 4*g**4 + 176*g**3 + 1552*g**2 - 8448*g + 9216 = 0.
-24, 2
Factor -10*i**3/9 + 11*i**2/3 + 31*i/9 - 4/3.
-(i - 4)*(i + 1)*(10*i - 3)/9
Determine x so that 2*x**3/3 + 16*x**2/3 + 32*x/3 = 0.
-4, 0
Let 8*q**2/7 + 2*q/7 = 0. Calculate q.
-1/4, 0
Factor x**4/8 - 121*x**3/4 + 16021*x**2/8 - 41745*x/2 + 119025/2.
(x - 115)**2*(x - 6)**2/8
Suppose p**5 + 6*p**4 + 7*p**3 - 6*p**2 - 8*p = 0. Calculate p.
-4, -2, -1, 0, 1
Determine n so that 3*n**5 - 54*n**4 - 60*n**3 + 54*n**2 + 57*n = 0.
-1, 0, 1, 19
Find y such that -8*y**4 + 26*y**3 - 6*y**2 - 32*y + 8 = 0.
-1, 1/4, 2
Suppose w**2/3 - 2248*w/3 + 1263376/3 = 0. What is w?
1124
Let 5*o**5 - 320*o**4 + 2330*o**3 - 5120*o**2 + 4505*o - 1400 = 0. What is o?
1, 5, 56
Let -6*j**5/5 - 356*j**4/5 - 1774*j**3/5 - 2496*j**2/5 - 648*j/5 = 0. What is j?
-54, -3, -2, -1/3, 0
What is d in 6*d**2/5 + 2*d - 4/5 = 0?
-2, 1/3
Factor r**3/2 + 13*r**2/2 + 35*r/2 - 49/2.
(r - 1)*(r + 7)**2/2
Factor -2*f**2 - 467*f - 233.
-(f + 233)*(2*f + 1)
Let 5*a**4 - 15*a**3 + 20*a = 0. Calculate a.
-1, 0, 2
Factor 3*g**4 + 6*g**3 - 12*g**2 - 6*g + 9.
3*(g - 1)**2*(g + 1)*(g + 3)
Factor -3*g**4 + 27*g**3 + 18*g**2 - 348*g - 504.
-3*(g - 7)*(g - 6)*(g + 2)**2
Factor -2*r**2/9 + 2260*r/9 - 638450/9.
-2*(r - 565)**2/9
Factor 3*w**4 + 63*w**3 + 360*w**2 + 300*w.
3*w*(w + 1)*(w + 10)**2
Solve -98*o**5/3 - 476*o**4 - 5594*o**3/3 - 952*o**2 - 392*o/3 = 0 for o.
-7, -2/7, 0
Factor w**3 - 20*w**2 - 151*w - 130.
(w - 26)*(w + 1)*(w + 5)
Let 2*b**