133*z**2/2 + 204*z = 0. Calculate z.
-136, 0, 3
Factor 3*c**3 - 12*c**2 + 12*c.
3*c*(c - 2)**2
What is o in -o**3/9 + 2*o**2/9 + 7*o/9 + 4/9 = 0?
-1, 4
Factor -15*t**4 - 1280*t**3 - 26875*t**2 + 18490*t.
-5*t*(t + 43)**2*(3*t - 2)
Factor 3*t**4 + 14*t**3 - 337*t**2 + 820*t + 700.
(t - 5)**2*(t + 14)*(3*t + 2)
Factor k**4 - 79*k**3 + 155*k**2 - 77*k.
k*(k - 77)*(k - 1)**2
Suppose 2*p**2/9 - 22*p/9 + 20/9 = 0. Calculate p.
1, 10
Factor 5*o**3/2 + 1065*o**2/2 - 8550*o.
5*o*(o - 15)*(o + 228)/2
Solve 2*f**3 + 101*f**2/6 + 19*f/3 - 8/3 = 0 for f.
-8, -2/3, 1/4
Let 5*l**4 - 15*l**3 + 20*l = 0. What is l?
-1, 0, 2
What is u in -u**3/7 + 135*u**2/7 - 3888*u/7 - 46656/7 = 0?
-9, 72
Factor -2*a**4/3 + 4*a**2/3 - 2/3.
-2*(a - 1)**2*(a + 1)**2/3
Find u such that -209*u**4/2 + 419*u**3 - 1053*u**2/2 + 214*u - 2 = 0.
2/209, 1, 2
Determine x so that 15*x**4 + 126*x**3 + 129*x**2 - 126*x = 0.
-7, -2, 0, 3/5
Determine i, given that 4*i**3/3 + 4592*i**2/3 + 9172*i/3 + 1528 = 0.
-1146, -1
Factor j**5 + 32*j**4 + 341*j**3 + 1222*j**2 - 480*j - 7200.
(j - 2)*(j + 5)**2*(j + 12)**2
Determine r so that 4*r**2 + 1540*r - 6224 = 0.
-389, 4
Determine b so that 2*b**5 + 20*b**4 + 42*b**3 - 80*b**2 - 200*b = 0.
-5, -2, 0, 2
Factor 5*j**2/2 - 1115*j + 2225/2.
5*(j - 445)*(j - 1)/2
Factor 3*x**3/5 + 9*x**2/5 + 6*x/5.
3*x*(x + 1)*(x + 2)/5
Factor i**4 - 3*i**3 + 3*i**2 - i.
i*(i - 1)**3
Factor 2*g**2/7 + 696*g/7.
2*g*(g + 348)/7
Factor -5*k**2 - 290*k - 4205.
-5*(k + 29)**2
Factor -3*h**4 + 3*h**3 + 60*h**2.
-3*h**2*(h - 5)*(h + 4)
Suppose -x**3/4 - 43*x**2/2 - 440*x + 968 = 0. Calculate x.
-44, 2
Solve 46*k**2/7 + 1480*k/7 + 256/7 = 0.
-32, -4/23
Factor 4*y**3 + 33240*y**2 + 92074800*y + 85015732000.
4*(y + 2770)**3
Solve -2*i**5 = 0.
0
Solve -2*h**4/5 + 40*h**3 + 202*h**2/5 = 0 for h.
-1, 0, 101
Factor -i**4/10 + 31*i**3 - 24637*i**2/10 + 9486*i - 46818/5.
-(i - 153)**2*(i - 2)**2/10
Determine j, given that -95*j**4 - 105*j**3 + 180*j**2 + 20*j = 0.
-2, -2/19, 0, 1
Factor 3*h**5 - 14*h**4 + 22*h**3 - 12*h**2 - h + 2.
(h - 2)*(h - 1)**3*(3*h + 1)
Solve 2*l**4/13 - 18*l**3/13 + 42*l**2/13 - 38*l/13 + 12/13 = 0.
1, 6
Solve 2*i**4 + 144*i**3 - 2*i**2 - 144*i = 0.
-72, -1, 0, 1
Suppose -2*z**4/13 + 158*z**3/13 + 1980*z**2/13 = 0. What is z?
-11, 0, 90
Solve o**2/8 + 85*o/4 - 132 = 0 for o.
-176, 6
Let -80*j**5 - 680*j**4 - 1845*j**3 - 1760*j**2 - 575*j - 60 = 0. What is j?
-4, -3, -1, -1/4
Solve 3*d**3/5 + 639*d**2/5 + 45369*d/5 + 1073733/5 = 0 for d.
-71
Factor 3*s**2 + 1127*s + 750.
(s + 375)*(3*s + 2)
Factor -2*r**2/7 - 8*r/7 - 6/7.
-2*(r + 1)*(r + 3)/7
Determine d, given that 2*d**3/19 + 92*d**2/19 - 94*d/19 = 0.
-47, 0, 1
Factor -4*p**4/7 + 8*p**3/7 - 4*p**2/7.
-4*p**2*(p - 1)**2/7
Factor -3*f**2 + 1449*f.
-3*f*(f - 483)
Suppose -10*g**3/3 - 338*g**2/3 - 2822*g/3 + 578/3 = 0. What is g?
-17, 1/5
Factor -4*t**2 + 2688*t - 451584.
-4*(t - 336)**2
Factor -2*s**4 + 4*s**3 + 6*s**2.
-2*s**2*(s - 3)*(s + 1)
Solve -2*f**3 - 534*f**2 - 1062*f - 530 = 0.
-265, -1
Solve -5*l**2 + 170*l - 165 = 0 for l.
1, 33
Factor 3*w**3/5 - 936*w**2/5 + 741*w - 2772/5.
3*(w - 308)*(w - 3)*(w - 1)/5
Factor 2*c**5 + 6*c**4 - 6*c**3 - 14*c**2 + 12*c.
2*c*(c - 1)**2*(c + 2)*(c + 3)
Factor 2*p**2/13 + 120*p/13 + 1800/13.
2*(p + 30)**2/13
Factor -y**3 - 243*y**2 + 1750*y.
-y*(y - 7)*(y + 250)
Let 33*c**4 + 51*c**3 - 15*c**2 - 51*c - 18 = 0. What is c?
-1, -6/11, 1
Factor 99*x**3 + 105*x**2 + 67*x/11 + 1/11.
(x + 1)*(33*x + 1)**2/11
Factor -x**4/7 + x**3/7 + 5*x**2/7 + 3*x/7.
-x*(x - 3)*(x + 1)**2/7
Factor -4*b**2/5 + 116*b/5 + 384/5.
-4*(b - 32)*(b + 3)/5
What is w in 2*w**5 - 52*w**4 + 408*w**3 - 748*w**2 - 1210*w = 0?
-1, 0, 5, 11
Let 12*r**5 + 21*r**4 - 42*r**3 + 9*r**2 = 0. What is r?
-3, 0, 1/4, 1
Let -v**4/3 + 725*v**3/6 - 21473*v**2/2 - 77775*v/2 - 33489/2 = 0. What is v?
-3, -1/2, 183
Factor -16*d**4 - 72*d**3 + 39*d**2 - 5*d.
-d*(d + 5)*(4*d - 1)**2
Solve -y**4/2 - 17*y**3/2 - 35*y**2 = 0 for y.
-10, -7, 0
Let 4*h**4 + 620*h**3 - 628*h**2 - 620*h + 624 = 0. What is h?
-156, -1, 1
Determine m so that m**4/5 + m**3 - 124*m**2/5 - 896*m/5 - 768/5 = 0.
-8, -1, 12
Let -4*v**2 - 32*v + 36 = 0. What is v?
-9, 1
Solve -2*u**2/9 + 452*u/9 - 25538/9 = 0 for u.
113
Find l, given that -4*l**4/5 + 2*l**3 - 6*l**2/5 = 0.
0, 1, 3/2
Factor -2*v**2 + 1208*v + 4864.
-2*(v - 608)*(v + 4)
Factor -4*s**3 + 101*s**2 - 209*s + 46.
-(s - 23)*(s - 2)*(4*s - 1)
Suppose -2*c**2/5 + 13328*c/5 - 22204448/5 = 0. Calculate c.
3332
Find f, given that 3*f**3 + 15*f**2 - 3*f - 15 = 0.
-5, -1, 1
Solve -5*l**5 + 380*l**4 - 6810*l**3 - 16380*l**2 + 22815*l = 0.
-3, 0, 1, 39
Factor -w**2/3 - 56*w/3 - 784/3.
-(w + 28)**2/3
Factor 2*v**2/5 - 1332*v + 1108890.
2*(v - 1665)**2/5
Find y, given that -21*y**5 + 225*y**4 - 333*y**3 + 75*y**2 + 54*y = 0.
-2/7, 0, 1, 9
Find j such that 4*j**5 + 4*j**4 - 72*j**3 + 56*j**2 + 68*j - 60 = 0.
-5, -1, 1, 3
Factor k**2/4 + 1967*k/4.
k*(k + 1967)/4
Find j, given that 2*j**2 + 196*j - 1030 = 0.
-103, 5
Suppose -54*r**3 + 24*r**2 - 8*r/3 = 0. What is r?
0, 2/9
Factor -2*i**3 + 54*i**2 + 492*i - 544.
-2*(i - 34)*(i - 1)*(i + 8)
Solve -196*p**4 + 364*p**3 - 204*p**2 + 36*p = 0 for p.
0, 3/7, 1
Factor -98*k**3 + 5656*k**2 + 1622*k + 116.
-2*(k - 58)*(7*k + 1)**2
Suppose 15*n**4 + 6*n**3 - 87*n**2 - 6*n + 72 = 0. What is n?
-12/5, -1, 1, 2
Let -3*a**5/2 + 24*a**4 - 261*a**3/2 + 282*a**2 - 210*a = 0. Calculate a.
0, 2, 5, 7
Let 10*r**2 + 52*r - 48 = 0. Calculate r.
-6, 4/5
Factor -3*q**3/5 + 21*q**2 - 294*q/5 + 192/5.
-3*(q - 32)*(q - 2)*(q - 1)/5
Find b, given that -2*b**3/7 + 3058*b**2/7 - 1170448*b/7 + 1167392/7 = 0.
1, 764
Factor -5*m**4 - 125*m**3 - 520*m**2 - 400*m.
-5*m*(m + 1)*(m + 4)*(m + 20)
Determine g, given that g**2/4 + 20*g - 81/4 = 0.
-81, 1
Suppose 4*f**3 - 492*f**2 + 1920*f - 1904 = 0. What is f?
2, 119
Find y, given that -y**5/3 - 34*y**4/3 - 128*y**3 - 1534*y**2/3 - 1183*y/3 = 0.
-13, -7, -1, 0
Solve -224*a**5/5 + 1464*a**4/5 - 1492*a**3/5 - 1172*a**2/5 + 144*a/5 + 16 = 0.
-1/2, -1/4, 2/7, 2, 5
Find b, given that -25*b**5 - 535*b**4 + 365*b**3 + 755*b**2 - 340*b - 220 = 0.
-22, -1, -2/5, 1
Let o**4/3 + 29*o**3/3 + 83*o**2 + 559*o/3 + 338/3 = 0. What is o?
-13, -2, -1
Factor x**5/7 + 9*x**4/7 + 5*x**3/7 - 29*x**2/7 - 6*x - 16/7.
(x - 2)*(x + 1)**3*(x + 8)/7
Factor -4*d**4 - 12*d**3 + 4*d**2 + 12*d.
-4*d*(d - 1)*(d + 1)*(d + 3)
Solve 3*l**5/4 + 195*l**4/4 + 189*l**3/4 - 195*l**2/4 - 48*l = 0.
-64, -1, 0, 1
Determine r so that 4*r**4 + 28*r**3 - 204*r**2 - 268*r + 440 = 0.
-11, -2, 1, 5
Let -171*w**2 - 340*w + 4 = 0. Calculate w.
-2, 2/171
Factor -6*b**4 + 93*b**3/2 - 114*b**2 + 90*b.
-3*b*(b - 2)**2*(4*b - 15)/2
Determine z, given that -4*z**4 - 48*z**3 - 84*z**2 - 40*z = 0.
-10, -1, 0
Determine a, given that 2*a**3/9 + 8*a**2/9 - 34*a/3 + 20 = 0.
-10, 3
Suppose k**4/2 + 9*k**3/2 - 2*k**2 - 18*k = 0. Calculate k.
-9, -2, 0, 2
Factor -5*s**2 - 30*s + 80.
-5*(s - 2)*(s + 8)
Factor 4*i**5 - 116*i**4 - 1088*i**3 - 3424*i**2 - 4672*i - 2368.
4*(i - 37)*(i + 2)**4
Find u, given that -5*u**5 + 60*u**4 + 305*u**3 + 260*u**2 - 300*u - 320 = 0.
-2, -1, 1, 16
Factor 4*b**5 - 44*b**4 + 40*b**3 + 424*b**2 + 532*b + 196.
4*(b - 7)**2*(b + 1)**3
Find q such that 7*q**3/4 - 23*q**2/2 + 59*q/4 - 5 = 0.
4/7, 1, 5
Factor -4*c**3 + 1916*c**2 - 232288*c + 679728.
-4*(c - 238)**2*(c - 3)
Solve -5*r**4 - 75*r**3 - 135*r**2 - 65*r = 0 for r.
-13, -1, 0
Find m such that 3*m**3 - 438*m**2 + 3312*m = 0.
0, 8, 138
Factor 35*g**3/2 - 26*g**2 + 19*g/2 - 1.
(g - 1)*(5*g - 1)*(7*g - 2)/2
Factor -v**3 - 19*v**2 - 23*v + 715.
-(v - 5)*(v + 11)*(v + 13)
Let -2*a**3/11 - 20*a**2/11 + 26*a/11 + 4 = 0. What is a?
-11, -1, 2
Suppose 5*s**2 + 9*s = 0. Calculate s.
-9/5, 0
Determine g, given that -7*g**3 - 43*g**2 - 41*g - 5 = 0.
-5, -1, -1/7
Let -2*a**4 - 56*a**3 + 62*a**2 + 116*a = 0. Calculate a.
-29, -1, 0, 2
Determine l, given that 10*l**4/3 + 29*l**3/2 - 21*l**2/2 + 5*l/3 = 0.
-5, 0, 1/4, 2/5
Let 3*j**2/2 + 115*j/4 - 121/4 = 0. What is j?
-121/6, 1
Solve o**2 - 5532*o + 7650756 = 0.
2766
Suppose 2*m**4/5 + 28*m**3/5 + 24*m**2 + 208*m/5 + 128/5 = 0. What is m?
-8, -2
What is t in -t**2/3 + 5*t - 26/3 = 0?
2, 13
Factor -2*c**5/9 - 458*c**4/9 + 460*c**3/9.
-2*c**3*(c - 1)*(c + 230)/9
What is s in -3*s**5 + 861*s**4 - 79