*3/3 + 2900*f**2/3 - 5000*f/3 = 0.
0, 2, 25
Find s, given that 3*s**3/4 - 9*s**2/2 + 27*s/4 - 3 = 0.
1, 4
Solve -2*j**2 - 1844*j = 0.
-922, 0
Let -2*a**5 + 8*a**3 + 4*a**2 - 6*a - 4 = 0. What is a?
-1, 1, 2
Solve a**3/2 + 53*a**2/2 - 1529*a/2 + 9075/2 = 0 for a.
-75, 11
Solve -4*y**4 + 24*y**3 + 4*y**2 - 24*y = 0 for y.
-1, 0, 1, 6
Determine s, given that 2*s**3/7 - 54*s**2/7 + 102*s/7 - 50/7 = 0.
1, 25
Factor -2*y**2/3 - 2*y/3 + 60.
-2*(y - 9)*(y + 10)/3
Let 8*h**4/15 - 262*h**3/15 - 206*h**2/5 - 418*h/15 - 14/3 = 0. What is h?
-1, -1/4, 35
Determine r, given that 2*r**3 + 870*r**2 - 3504*r + 3512 = 0.
-439, 2
What is m in -m**5/2 + 47*m**4/2 + 147*m**3/2 + 149*m**2/2 + 25*m = 0?
-1, 0, 50
Suppose 3*a**2/5 - 3708*a/5 + 1145772/5 = 0. What is a?
618
Find o such that -o**2/3 + 2879*o/3 = 0.
0, 2879
Suppose -2*f**2/7 + 6*f - 216/7 = 0. Calculate f.
9, 12
Factor -2*p**2/21 - 2948*p/21 - 1086338/21.
-2*(p + 737)**2/21
Suppose p**5/2 + 17*p**4/6 + 11*p**3/3 + 4*p**2/3 = 0. Calculate p.
-4, -1, -2/3, 0
Suppose 3*v**5/8 + 255*v**4/8 + 7545*v**3/8 + 86265*v**2/8 + 32805*v + 59049/2 = 0. What is v?
-27, -2
Suppose 4*d**3 + 32*d**2 - 192*d = 0. Calculate d.
-12, 0, 4
Factor z**3/4 + 11*z**2/4 + 15*z/2.
z*(z + 5)*(z + 6)/4
Factor -4*h**3 - 62*h**2 + 176*h - 72.
-2*(h - 2)*(h + 18)*(2*h - 1)
Find z, given that -6*z**3/11 - 18*z**2/11 + 24/11 = 0.
-2, 1
Suppose 5*p**5 - 270*p**4 + 4140*p**3 - 13250*p**2 + 9375*p = 0. Calculate p.
0, 1, 3, 25
Factor -2*o**4/9 - 2*o**3/9 + 8*o**2/3.
-2*o**2*(o - 3)*(o + 4)/9
Suppose i**3/5 + 499*i**2/5 + 496*i/5 - 996/5 = 0. Calculate i.
-498, -2, 1
Factor 5*b**2 + 240*b - 765.
5*(b - 3)*(b + 51)
Solve 14*r**3/11 - 400*r**2/11 + 218*r/11 + 168/11 = 0 for r.
-3/7, 1, 28
Solve -3*h**2/7 + 669*h/7 - 666/7 = 0 for h.
1, 222
Determine y, given that 3*y**3 + 198*y**2 + 2835*y - 14700 = 0.
-35, 4
What is n in n**2/4 - 23*n/4 - 105 = 0?
-12, 35
Let f**2/2 - 158*f - 957/2 = 0. Calculate f.
-3, 319
Factor -r**4/4 + 56*r**3 - 4704*r**2 + 175616*r - 2458624.
-(r - 56)**4/4
Let 4*j**5 - 6*j**4 - 102*j**3 - 44*j**2 + 48*j = 0. Calculate j.
-4, -1, 0, 1/2, 6
Determine m, given that -72*m**5 - 231*m**4 - 74*m**3 + 173*m**2 - 52*m + 4 = 0.
-2, 1/8, 1/3
Determine d so that d**3 + 5*d**2/3 + 7*d/9 + 1/9 = 0.
-1, -1/3
Factor 20*d**3 - 4*d**2 - 20*d + 4.
4*(d - 1)*(d + 1)*(5*d - 1)
Factor m**4/3 - 16*m**3/3 - 35*m**2/3 - 6*m.
m*(m - 18)*(m + 1)**2/3
Determine c so that 108*c**3 + 144*c**2 + 60*c + 8 = 0.
-2/3, -1/3
Factor 7*q**3/6 - 62*q**2/3 + 177*q/2 + 27.
(q - 9)**2*(7*q + 2)/6
Factor -10*c**3 + 52*c**2 - 50*c + 8.
-2*(c - 4)*(c - 1)*(5*c - 1)
Determine t, given that -2*t**2 + 46*t - 252 = 0.
9, 14
Determine c so that 2*c**3 - 40*c**2 - 242*c - 200 = 0.
-4, -1, 25
Factor -3*r**3 + 39*r**2 + 87*r + 45.
-3*(r - 15)*(r + 1)**2
Find s such that 3*s**4/4 + 3*s**3/2 - 3*s**2/4 - 3*s/2 = 0.
-2, -1, 0, 1
Factor -4*o**2 + 304*o + 3440.
-4*(o - 86)*(o + 10)
Solve 4*f**2/5 - 16*f = 0.
0, 20
Factor -3*i**2 + 1650*i - 4923.
-3*(i - 547)*(i - 3)
Solve -21*b**3 + 1094*b**2 - 14300*b + 1352 = 0 for b.
2/21, 26
Factor -2*x**2 + 58*x - 108.
-2*(x - 27)*(x - 2)
Find z, given that -4*z**4/17 - 20754*z**3/17 + 51902*z**2/17 - 41526*z/17 + 10382/17 = 0.
-5191, 1/2, 1
Find v, given that -2*v**4 - 32*v**3 + 70*v**2 - 36*v = 0.
-18, 0, 1
Factor -d**4/4 - 81*d**3/4 - 79*d**2/4 + 81*d/4 + 20.
-(d - 1)*(d + 1)**2*(d + 80)/4
Let 3*x**3/4 + 15*x**2/2 - 261*x/4 + 108 = 0. Calculate x.
-16, 3
Let -21*t**5 - 36*t**4 + 96*t**3 + 144*t**2 - 48*t = 0. What is t?
-2, 0, 2/7, 2
Solve 60*n**5/7 + 249*n**4/7 - 606*n**3/7 + 351*n**2/7 - 54*n/7 = 0 for n.
-6, 0, 1/4, 3/5, 1
Factor -5*p**2 + 35*p - 30.
-5*(p - 6)*(p - 1)
Determine t, given that 50*t**3 - 895*t**2 + 760*t + 85 = 0.
-1/10, 1, 17
Factor -y**5 + 38*y**4 + 455*y**3 + 1200*y**2.
-y**2*(y - 48)*(y + 5)**2
Factor 5*v**3 - 972*v**2 + 47433*v - 18818.
(v - 97)**2*(5*v - 2)
Let -4*i**5 + 40*i**4 - 1000*i**2 + 2500*i = 0. What is i?
-5, 0, 5
Factor -127*r**2 - 248*r + 12.
-(r + 2)*(127*r - 6)
Determine k, given that 28*k**3 - 22*k**2 - 112*k + 88 = 0.
-2, 11/14, 2
Find z such that z**3/4 + 219*z**2/4 + 2970*z - 3025 = 0.
-110, 1
Factor 2*s**3/3 + 712*s**2/3 + 22040*s + 161472.
2*(s + 8)*(s + 174)**2/3
Let -3*v**5 - 15*v**4 + 66*v**3 + 168*v**2 = 0. Calculate v.
-7, -2, 0, 4
Solve 4*l**3 - 316*l**2/5 + 1568*l/5 - 2496/5 = 0.
4, 39/5
Factor -28*k**2/5 + 328*k/5 + 96/5.
-4*(k - 12)*(7*k + 2)/5
Let -2*i**4/7 + 368*i**3/7 - 17648*i**2/7 + 66240*i/7 - 64800/7 = 0. What is i?
2, 90
What is m in -m**5/4 + m**4/4 + 4*m**3 - 4*m**2 = 0?
-4, 0, 1, 4
Factor -5*i**3 + 95*i**2.
-5*i**2*(i - 19)
Factor 2*l**3 - 8*l**2 - 58*l - 48.
2*(l - 8)*(l + 1)*(l + 3)
Factor -100*q**3 + 15*q**2 + 10*q.
-5*q*(4*q + 1)*(5*q - 2)
Suppose -n**5/4 + 239*n**4/4 + 485*n**3/4 - 719*n**2/4 - 242*n + 241 = 0. Calculate n.
-2, 1, 241
Solve q**2/2 + 48*q + 1152 = 0 for q.
-48
Factor f**3/2 - 37*f**2/3 + 8*f.
f*(f - 24)*(3*f - 2)/6
Solve k**4/6 + 3*k**3/2 - 25*k**2/6 - 11*k/2 = 0.
-11, -1, 0, 3
Factor -5*q**5 + 65*q**4 - 45*q**3 - 205*q**2 + 310*q - 120.
-5*(q - 12)*(q - 1)**3*(q + 2)
What is f in 3*f**2/2 - 201*f + 13467/2 = 0?
67
Factor -4*o**2 + 404*o.
-4*o*(o - 101)
Determine b so that 3*b**5 + 15*b**4 - 18*b**3 = 0.
-6, 0, 1
Factor -8*v**4/21 - 142*v**3/21 + 12*v**2/7.
-2*v**2*(v + 18)*(4*v - 1)/21
Factor -g**4 - 6*g**3 + 232*g**2 + 1248*g - 8064.
-(g - 14)*(g - 4)*(g + 12)**2
Factor -5*g**2/7 + 23*g/7 + 12.
-(g - 7)*(5*g + 12)/7
Find l, given that 3*l**3/5 - 3139*l**2/5 - 419*l + 1047/5 = 0.
-1, 1/3, 1047
What is z in -4*z**4 - 451*z**3 - 11951*z**2 + 43384*z - 10092 = 0?
-58, 1/4, 3
Factor -2*h**2/5 + 86*h/5 - 132.
-2*(h - 33)*(h - 10)/5
Suppose -4*t**2 + 12*t + 16 = 0. What is t?
-1, 4
Suppose 3*x**3 - 2217*x**2 - 3*x + 2217 = 0. What is x?
-1, 1, 739
What is t in 3*t**2 + 5670*t + 2679075 = 0?
-945
Determine h so that -2*h**4/11 + 12*h**3/11 - 14*h**2/11 - 12*h/11 + 16/11 = 0.
-1, 1, 2, 4
Determine p, given that 2*p**5/9 + 2*p**4/9 - 20*p**3/9 - 20*p**2/9 + 2*p + 2 = 0.
-3, -1, 1, 3
Find k such that -2*k**4 - 32*k**3 - 156*k**2 - 224*k - 98 = 0.
-7, -1
Let 3*m**2 - 29*m/3 + 2 = 0. Calculate m.
2/9, 3
Determine x so that 4*x**3 + 80*x**2 + 388*x + 312 = 0.
-13, -6, -1
Let -6*c**3 - 81*c**2 - 174*c - 99 = 0. What is c?
-11, -3/2, -1
Factor 5*l**4/3 - 85*l**3/3 - 190*l**2/3.
5*l**2*(l - 19)*(l + 2)/3
Solve -4*d**5 - 48*d**4 - 196*d**3 - 312*d**2 - 160*d = 0.
-5, -4, -2, -1, 0
Find b, given that -4*b**3 - 18*b**2 + 130*b + 144 = 0.
-8, -1, 9/2
Let o**3/4 + 683*o**2/2 + 2729*o/4 + 341 = 0. Calculate o.
-1364, -1
Factor y**2/2 + 143*y + 285/2.
(y + 1)*(y + 285)/2
Solve -16*z**5 + 88*z**4 - 137*z**3 + 53*z**2 - 6*z = 0.
0, 1/4, 2, 3
Determine q, given that -2*q**2 + 58*q - 336 = 0.
8, 21
Determine d so that -10*d**5/17 + 54*d**4/17 + 40*d**3/17 - 24*d**2/17 = 0.
-1, 0, 2/5, 6
Factor 8*p**2 - 804*p - 404.
4*(p - 101)*(2*p + 1)
Factor 3*h**4/5 - 102*h**3/5 + 528*h**2/5 - 672*h/5.
3*h*(h - 28)*(h - 4)*(h - 2)/5
Factor 50*c**3 + 1030*c**2 + 4752*c - 5832.
2*(c - 1)*(5*c + 54)**2
Find f, given that -3*f**4 + 39*f**3 + 9*f**2 - 111*f - 78 = 0.
-1, 2, 13
Let -h**2 + 73*h + 150 = 0. What is h?
-2, 75
Factor -4*p**4 + 8*p**3 + 4*p**2 - 8*p.
-4*p*(p - 2)*(p - 1)*(p + 1)
Determine g so that 4*g**4 + 244*g**3 + 3596*g**2 - 3844*g = 0.
-31, 0, 1
Let -w**5/2 + 3*w**4 - 7*w**3/2 - 3*w**2 + 4*w = 0. Calculate w.
-1, 0, 1, 2, 4
Factor -2*y**2/15 - 74*y/5 + 452/15.
-2*(y - 2)*(y + 113)/15
Factor 3*x**2/7 + 15*x/7.
3*x*(x + 5)/7
Let -20*n**4 + 135*n**3 + 195*n**2 + 40*n = 0. Calculate n.
-1, -1/4, 0, 8
Determine t, given that 3*t**4 - 273*t**3 - 4905*t**2 - 24423*t - 31458 = 0.
-7, -2, 107
Suppose 2*g**4/13 - 110*g**2/13 - 180*g/13 + 288/13 = 0. What is g?
-6, -3, 1, 8
Suppose -9*n**5 + 15*n**4 + 39*n**3 - 3*n**2 - 18*n = 0. What is n?
-1, 0, 2/3, 3
Factor 2*b**3/17 + 92*b**2/17 + 10*b - 264/17.
2*(b - 1)*(b + 3)*(b + 44)/17
Factor 2*l**3 + 16*l**2 - 40*l.
2*l*(l - 2)*(l + 10)
Find u, given that 5*u**5 - 180*u**4 + 640*u**3 = 0.
0, 4, 32
What is s in -2*s**3 + 9132*s**2/7 + 15704*s/7 - 5232/7 = 0?
-2, 2/7, 654
Factor -2*d**3/9 + 2*d**2/9 + 64*d/3 - 88.
-2*(d - 6)**2*(d + 11)/9
Factor 2*r**2/9 + 70*r/9 - 148/9.
2*(r - 2)*(r + 37)/9
Let -4*l**2 + 180*l = 0. What is l?
0, 45
Suppose 