 = 0.
1, 457
Suppose -3*s**3/4 + 81*s**2 - 951*s/4 + 315/2 = 0. Calculate s.
1, 2, 105
Suppose j**2 + 128*j + 4096 = 0. What is j?
-64
Suppose 4*x**4 - 60*x**2 - 40*x + 96 = 0. What is x?
-3, -2, 1, 4
Determine y so that 2*y**4/3 - 224*y**3 + 25088*y**2 - 2809856*y/3 = 0.
0, 112
Determine o, given that -15*o**5/4 - 7*o**4 - 11*o**3/4 + o**2/2 = 0.
-1, 0, 2/15
Determine l, given that -l**2/5 + 94*l/5 + 19 = 0.
-1, 95
Let 3*s**2 + 51*s + 156 = 0. Calculate s.
-13, -4
Determine i, given that -i**2 - 1657*i - 3310 = 0.
-1655, -2
Let -2*u**3 + 34*u**2 + 74*u + 38 = 0. Calculate u.
-1, 19
Factor -2*i**2 - 26*i - 84.
-2*(i + 6)*(i + 7)
Solve -2*l**3/7 + 18*l**2/7 + 104*l/7 = 0 for l.
-4, 0, 13
Let -p**3 - 4*p**2 + 7*p + 10 = 0. Calculate p.
-5, -1, 2
Find d such that -2*d**3 + 16*d**2 + 2*d - 16 = 0.
-1, 1, 8
Solve 2*q**2 + 12*q - 14 = 0.
-7, 1
Determine b so that -27*b**3 - 48*b**2 + 93*b - 18 = 0.
-3, 2/9, 1
Find p, given that -p**3/2 + 67*p**2/2 - 33*p = 0.
0, 1, 66
Factor -4*s**3/9 + 4*s**2/3 - 8*s/9.
-4*s*(s - 2)*(s - 1)/9
Suppose 9*y**4/7 - 69*y**3 + 786*y**2/7 - 312*y/7 = 0. What is y?
0, 2/3, 1, 52
Factor -2*c**3/9 + 50*c**2/9 - 46*c + 126.
-2*(c - 9)**2*(c - 7)/9
Determine p so that -5*p**2 + 5730*p - 1641645 = 0.
573
Find z such that 250*z**4/9 + 850*z**3/3 + 940*z**2/3 + 1096*z/9 + 16 = 0.
-9, -2/5
What is m in 36*m**5/23 - 62*m**4/23 + 30*m**3/23 - 4*m**2/23 = 0?
0, 2/9, 1/2, 1
Factor -5*j**2 + 1080*j + 1085.
-5*(j - 217)*(j + 1)
Factor v**3 - 85*v**2/3 + 28*v/3.
v*(v - 28)*(3*v - 1)/3
Suppose -5*f**2 - 255*f - 250 = 0. Calculate f.
-50, -1
Factor 3*w**2/7 + 192*w/7 + 1044/7.
3*(w + 6)*(w + 58)/7
Suppose 3*i**4 - 60*i**3 - 489*i**2 + 546*i = 0. What is i?
-7, 0, 1, 26
Solve 4*z**5 + 28*z**4 + 28*z**3 - 60*z**2 = 0.
-5, -3, 0, 1
Determine p, given that -p**2 + 11*p/5 + 14 = 0.
-14/5, 5
Let -15*t**3 - 17*t**2 - 2*t = 0. Calculate t.
-1, -2/15, 0
Solve -v**4 - 8*v**3 - 11*v**2 + 20*v = 0 for v.
-5, -4, 0, 1
Factor 16*t**5 - 180*t**4 + 620*t**3 - 400*t**2 - 960*t + 256.
4*(t - 4)**3*(t + 1)*(4*t - 1)
Factor 3*r**3 + 3*r**2 - 3*r - 3.
3*(r - 1)*(r + 1)**2
Let -84*i**2 + 136*i - 52 = 0. What is i?
13/21, 1
Suppose 4*u**3/3 + 20*u**2/3 - 16*u/3 - 80/3 = 0. Calculate u.
-5, -2, 2
Solve 4*d**2/7 - 796*d/7 = 0 for d.
0, 199
Factor 2*h**2/5 + 12*h/5 + 2.
2*(h + 1)*(h + 5)/5
Factor -j**2/2 - 27*j/2 + 14.
-(j - 1)*(j + 28)/2
Let -2*u**5/11 + 4*u**4/11 + 40*u**3/11 + 48*u**2/11 = 0. Calculate u.
-2, 0, 6
Find r such that -125*r**2 + 2010*r - 160 = 0.
2/25, 16
Let v**3/3 - 214*v**2/3 + 1031*v/3 + 2926/3 = 0. What is v?
-2, 7, 209
Let -t**4/4 + 23*t**3/4 - 21*t**2/4 - 23*t/4 + 11/2 = 0. What is t?
-1, 1, 22
Factor -2*n**2 + 466*n - 464.
-2*(n - 232)*(n - 1)
Determine l, given that 5*l**3 - 20*l**2 - 160*l = 0.
-4, 0, 8
Factor 3*k**3/7 - 492*k**2.
3*k**2*(k - 1148)/7
Find y such that -y**4/2 + 6*y**3 + 21*y**2/2 - 46*y - 78 = 0.
-2, 3, 13
Factor -2*y**5/9 - 44*y**4/9 - 290*y**3/9 - 200*y**2/3.
-2*y**2*(y + 5)**2*(y + 12)/9
Factor -3*x**4 + 84*x**3 - 588*x**2.
-3*x**2*(x - 14)**2
Suppose -2*t**2/3 - 10*t + 84 = 0. What is t?
-21, 6
Find i, given that 3*i**4/2 - 147*i**3/2 + 1725*i**2/2 + 1875*i/2 = 0.
-1, 0, 25
Factor -2*f**3 + 26*f**2 + 1690*f + 13182.
-2*(f - 39)*(f + 13)**2
Factor 3*k**2/4 + 21*k/2 + 147/4.
3*(k + 7)**2/4
What is t in -6*t**4 + 1598*t**3 - 141510*t**2 + 4134762*t + 2819876 = 0?
-2/3, 89
Determine r, given that -2*r**2/5 - 572*r/15 - 752/15 = 0.
-94, -4/3
Suppose -12*t**3/5 + 4*t**2 + 44*t/5 + 12/5 = 0. What is t?
-1, -1/3, 3
Factor -2*k**3/7 - 148*k**2/7 - 430*k - 1400.
-2*(k + 4)*(k + 35)**2/7
Determine d so that 2*d**3/13 - 66*d**2 - 1722*d/13 - 862/13 = 0.
-1, 431
Solve 2*z**4/3 - 2*z**3 - 206*z**2/3 - 222*z - 156 = 0.
-6, -3, -1, 13
Find n, given that -2*n**3/3 - 2*n**2 + 44*n/3 + 16 = 0.
-6, -1, 4
Let 5*j**4 - 80*j**3 + 205*j**2 - 130*j = 0. What is j?
0, 1, 2, 13
Factor -50*v**5/7 - 604*v**4/7 - 2448*v**3/7 - 3392*v**2/7 - 256*v/7.
-2*v*(v + 4)**3*(25*v + 2)/7
What is g in -5*g**2 + 15*g + 20 = 0?
-1, 4
Suppose -4*p**5 + 32*p**4 - 4*p**3 - 184*p**2 + 80*p + 224 = 0. Calculate p.
-2, -1, 2, 7
Factor j**3/4 - 11*j**2/2 + 59*j/4 - 19/2.
(j - 19)*(j - 2)*(j - 1)/4
Determine i, given that 3*i**5/7 + 9*i**4/7 - 3*i**3/7 - 9*i**2/7 = 0.
-3, -1, 0, 1
Suppose -2*n**2/7 + 66*n/7 - 72 = 0. What is n?
12, 21
Find x, given that -8*x**4/7 - 38*x**3/7 - 38*x**2/7 + 12*x/7 = 0.
-3, -2, 0, 1/4
What is j in -92*j**4 + 94*j**3 + 182*j**2 - 4*j = 0?
-1, 0, 1/46, 2
What is y in 3*y**2/5 + 4557*y/5 - 912 = 0?
-1520, 1
Factor -2*w**3/19 - 44*w**2/19 - 82*w/19 - 40/19.
-2*(w + 1)**2*(w + 20)/19
Factor -5*h**2 - 8005*h + 16030.
-5*(h - 2)*(h + 1603)
Determine n so that -9*n**3/5 + 88*n**2/5 + 4*n = 0.
-2/9, 0, 10
Let 5*t**5/3 - 77*t**4/3 + 145*t**3/3 + 1529*t**2/3 - 750*t + 216 = 0. Calculate t.
-4, 2/5, 1, 9
Factor 2*j**3 + 29*j**2/3 - 15*j - 6.
(j + 6)*(2*j - 3)*(3*j + 1)/3
Let -4*r**2 - 144*r - 272 = 0. What is r?
-34, -2
Let -220*a**2/3 + 293*a/2 + 1/3 = 0. What is a?
-1/440, 2
Factor -u**2 - 14*u - 13.
-(u + 1)*(u + 13)
Let 5*g**4/2 - 15*g**3/2 - 55*g**2/2 + 15*g/2 + 25 = 0. Calculate g.
-2, -1, 1, 5
Find c such that c**2/4 + 117*c + 13689 = 0.
-234
Solve -k**3/2 - 217*k**2 + 871*k/2 - 218 = 0.
-436, 1
Factor -4*b**2 - 2468*b + 2472.
-4*(b - 1)*(b + 618)
Factor 2*z**3/7 + 28830*z**2/7 + 138528150*z/7 + 221875920250/7.
2*(z + 4805)**3/7
Factor 5*z**2 + 1340*z + 89780.
5*(z + 134)**2
Factor 2*i**2/15 - 4*i/15 - 2/5.
2*(i - 3)*(i + 1)/15
Let 2*y**4/11 + 182*y**3/11 - 582*y**2/11 - 1702*y/11 - 940/11 = 0. What is y?
-94, -1, 5
Factor h**3 - 11*h**2 + 24*h.
h*(h - 8)*(h - 3)
Solve -2*d**3/3 - 2*d**2/3 + 4*d/3 = 0 for d.
-2, 0, 1
Factor -5*u**3 - 330*u**2 - 2925*u + 91260.
-5*(u - 12)*(u + 39)**2
Factor 4*u**3 + 588*u**2 + 28812*u + 470596.
4*(u + 49)**3
What is n in 4*n**2 + 284*n - 288 = 0?
-72, 1
Suppose h**2/4 - 5*h - 429/4 = 0. What is h?
-13, 33
Determine g, given that -2*g**3/7 + 948*g**2/7 + 4790*g/7 = 0.
-5, 0, 479
Find w, given that -9*w**4 - 56*w**3 - 111*w**2 - 76*w - 12 = 0.
-3, -2, -1, -2/9
Factor 5*v**3 + 220*v**2 + 1520*v + 2880.
5*(v + 4)**2*(v + 36)
Factor -3*l**4 - 60*l**3 - 51*l**2 + 114*l.
-3*l*(l - 1)*(l + 2)*(l + 19)
Factor 5*t**3 - 10*t**2 + 5*t.
5*t*(t - 1)**2
Suppose -u**3/5 + 129*u**2/5 = 0. Calculate u.
0, 129
Find g such that -3*g**4 - 3*g**3 + 24*g**2 + 36*g = 0.
-2, 0, 3
Let -2*w**2/3 - 106*w/3 - 68 = 0. Calculate w.
-51, -2
What is v in -v**3 + 30*v**2 + 423*v + 1148 = 0?
-7, -4, 41
Factor 2*r**2/13 - 30*r/13 + 72/13.
2*(r - 12)*(r - 3)/13
Suppose -20*m**4 + 88*m**3 + 468*m**2 - 760*m + 224 = 0. What is m?
-4, 2/5, 1, 7
Factor 12*o**4 - 56*o**3 + 76*o**2 - 16*o - 16.
4*(o - 2)**2*(o - 1)*(3*o + 1)
Factor -3*t**2/2 - 39*t/2 + 45.
-3*(t - 2)*(t + 15)/2
Find w such that w**4/3 + 31*w**3/3 + 113*w**2/3 + 137*w/3 + 18 = 0.
-27, -2, -1
Factor f**2/3 - 5*f.
f*(f - 15)/3
Let 3*t**4/2 - 3*t**3/2 - 21*t**2/2 + 39*t/2 - 9 = 0. What is t?
-3, 1, 2
Factor -2*d**2/5 - 4*d/5 + 6.
-2*(d - 3)*(d + 5)/5
Factor 45*t**2 - 485*t - 1300.
5*(t - 13)*(9*t + 20)
Find d, given that -4*d**5 - 44*d**4 + 156*d**3 - 164*d**2 + 56*d = 0.
-14, 0, 1
What is z in -2*z**2 + 564*z - 39762 = 0?
141
Factor c**5 + 2*c**4 + c**3.
c**3*(c + 1)**2
Factor -3*p**3/7 - 12*p**2/7 + 660*p/7 + 4800/7.
-3*(p - 16)*(p + 10)**2/7
Solve 3*i**4 - 264*i**3 - 267*i**2 = 0.
-1, 0, 89
Let -11*r**5/5 + 9*r**4/5 + 79*r**3/5 + 3*r**2/5 - 68*r/5 - 12/5 = 0. Calculate r.
-2, -1, -2/11, 1, 3
Factor -3*q**3 + 84*q**2 + 177*q + 90.
-3*(q - 30)*(q + 1)**2
Determine h, given that -2*h**4/11 + 50*h**3/11 - 158*h**2/11 - 210*h/11 = 0.
-1, 0, 5, 21
Solve -5*l**4 + 30*l**3 + 260*l**2 + 210*l - 495 = 0 for l.
-3, 1, 11
Suppose 5*z**5/2 - 113*z**4/2 - 171*z**3/2 + 65*z**2/2 + 83*z + 24 = 0. What is z?
-1, -2/5, 1, 24
Factor 2*w**3 - 58*w**2 - 932*w + 2080.
2*(w - 40)*(w - 2)*(w + 13)
Factor -3*j**3 - 2*j**2/3 + 3*j + 2/3.
-(j - 1)*(j + 1)*(9*j + 2)/3
Let v**4 - 4*v**3 - v**2 + 16*v - 12 = 0. What is v?
-2, 1, 2, 3
Factor t**2 - 280*t + 19600.
(t - 140)**2
Solve -2*x**3/9 + 28*x**2/3 - 114*x + 2888/9 = 0 for x.
4, 19
Solve -2*w**3/5 + 116*w**2/5 - 1792*w/5 + 3136/5 = 0.
2, 28
Suppose -676*g**2 + 728*g - 196 = 0. What is g?
7/13
Find v, given that -4*v**2 - 12*v - 8 = 0.
-2, -1
Factor -4*u**2/