, 1033
Solve i**3 - 38*i**2 + 396*i - 648 = 0.
2, 18
Factor r**3 + 73*r**2 + 280*r + 276.
(r + 2)**2*(r + 69)
Determine s, given that -11*s**4/4 - 17*s**3 + 549*s**2/4 - 191*s/2 - 22 = 0.
-11, -2/11, 1, 4
Determine o, given that o**4/5 + o**3/5 - 16*o**2/5 + 4*o = 0.
-5, 0, 2
Find n, given that -3*n**2 + 492*n - 20172 = 0.
82
Find s, given that -3*s**2 - 1959*s - 5850 = 0.
-650, -3
Determine t so that -t**4/2 + 9*t**3 + 8*t**2 - 624*t + 1152 = 0.
-8, 2, 12
What is z in -z**2/2 - 335*z - 112225/2 = 0?
-335
Find h, given that -3*h**2/4 + 93*h/4 - 165 = 0.
11, 20
Factor 4*l**2 - 320*l + 316.
4*(l - 79)*(l - 1)
Let -49*w**4/3 + 553*w**3/3 - 2185*w**2/3 + 1225*w - 750 = 0. Calculate w.
2, 15/7, 5
Let z**3/2 - 299*z**2/2 - 1220*z - 2456 = 0. What is z?
-4, 307
Factor g**3/3 + 4*g**2/3 + g/3 - 2.
(g - 1)*(g + 2)*(g + 3)/3
Factor -3*k**2 + 6411*k + 6414.
-3*(k - 2138)*(k + 1)
Solve 5*o**4 + 860*o**3 + 49710*o**2 + 1094780*o + 8102645 = 0 for o.
-67, -19
Let -4*b**5 + 32*b**4 + 348*b**3 - 88*b**2 - 1072*b - 672 = 0. Calculate b.
-6, -1, 2, 14
Factor -5*p**2/2 - 5915*p - 6997445/2.
-5*(p + 1183)**2/2
Solve m**4/3 + 4*m**3/3 - 2*m**2 - 4*m/3 + 5/3 = 0.
-5, -1, 1
Find s such that 4*s**5 - 268*s**4 + 6316*s**3 - 59220*s**2 + 169344*s - 148176 = 0.
2, 21
Factor 405*i**2/2 - 1617*i/2 - 6.
3*(i - 4)*(135*i + 1)/2
Factor -2*d**2/11 - 72*d/11 - 486/11.
-2*(d + 9)*(d + 27)/11
Let -20*j**5 - 235*j**4 - 640*j**3 + 175*j**2 = 0. What is j?
-7, -5, 0, 1/4
Let -3*c**3 + 30*c**2 + 111*c + 78 = 0. What is c?
-2, -1, 13
Suppose -2*v**5 + 54*v**4 - 516*v**3 + 1948*v**2 - 1530*v - 4050 = 0. What is v?
-1, 5, 9
Let 3*n**2/5 + 9*n/5 + 6/5 = 0. What is n?
-2, -1
What is o in -2*o**2/11 + 356*o/11 - 15842/11 = 0?
89
Determine r, given that 15*r**4 + 80*r**3 + 130*r**2 + 80*r + 15 = 0.
-3, -1, -1/3
Factor x**2 - 5*x + 4.
(x - 4)*(x - 1)
Factor 9*h**4 - 75*h**3 + 108*h**2 + 108*h.
3*h*(h - 6)*(h - 3)*(3*h + 2)
Let 18522*n**5 + 97902*n**4 + 138096*n**3 + 34288*n**2 + 3104*n + 96 = 0. What is n?
-3, -2, -2/21
What is o in -21*o**3 + 246*o**2 - 684*o - 216 = 0?
-2/7, 6
Factor -2*m**2 + 52*m - 96.
-2*(m - 24)*(m - 2)
Let -3*u**2 - 15*u = 0. Calculate u.
-5, 0
Find t such that -2*t**2 + 112*t/9 - 8/3 = 0.
2/9, 6
Solve -2*p**5/3 + 28*p**4/9 + 232*p**3/9 + 44*p**2/9 - 226*p/9 - 8 = 0.
-4, -1, -1/3, 1, 9
What is l in 45*l**5/4 + 39*l**4/4 - 273*l**3/2 - 297*l**2 - 138*l + 24 = 0?
-2, -1, 2/15, 4
Find m such that m**3/5 - m/5 = 0.
-1, 0, 1
Suppose -4*k**4/9 - 182*k**3/9 - 560*k**2/9 + 1166*k/9 - 140/3 = 0. Calculate k.
-42, -5, 1/2, 1
Factor 4*b**2 - 116*b.
4*b*(b - 29)
Factor -2*q**4/11 + 278*q**3/11 - 9798*q**2/11 + 9522*q/11.
-2*q*(q - 69)**2*(q - 1)/11
Let -2*r**3 + 18*r**2 + 96*r + 104 = 0. What is r?
-2, 13
Find s such that -2*s**5/19 + 6*s**4/19 + 22*s**3/19 - 6*s**2/19 - 20*s/19 = 0.
-2, -1, 0, 1, 5
Factor t**3 + 228*t**2 + 17328*t + 438976.
(t + 76)**3
Let -75*d**5/7 - 285*d**4/7 - 417*d**3/7 - 291*d**2/7 - 96*d/7 - 12/7 = 0. What is d?
-1, -2/5
Factor h**2/8 + 115*h/4 - 58.
(h - 2)*(h + 232)/8
Let -3*l**3/4 + 63*l**2/2 - 231*l/4 - 90 = 0. What is l?
-1, 3, 40
Factor -2*t**2/5 - 18*t/5 - 36/5.
-2*(t + 3)*(t + 6)/5
Factor -j**2/2 - 3*j + 8.
-(j - 2)*(j + 8)/2
Let 5*m**2 + 290*m + 4205 = 0. What is m?
-29
Factor 20*p**2 + 1324*p + 2568.
4*(p + 2)*(5*p + 321)
What is d in -4*d**5 + 1220*d**4/3 - 23272*d**3/9 + 45080*d**2/9 - 7612*d/3 + 380 = 0?
1/3, 3, 95
Determine x, given that -2*x**3/17 - 164*x**2/17 + 1262*x/17 + 1424/17 = 0.
-89, -1, 8
Factor 5*x**5 + 45*x**4 + 70*x**3 - 10*x**2 - 75*x - 35.
5*(x - 1)*(x + 1)**3*(x + 7)
Factor 20*g**3 + 492*g**2 - 5480*g + 2112.
4*(g - 8)*(g + 33)*(5*g - 2)
Suppose -12*l**2 + 476*l - 312 = 0. Calculate l.
2/3, 39
Factor -5*y**3 + 55*y**2 + 5*y - 55.
-5*(y - 11)*(y - 1)*(y + 1)
Let -84*y**5 - 592*y**4 - 952*y**3 - 464*y**2 - 20*y = 0. What is y?
-5, -1, -1/21, 0
Find k, given that -k**2 + 18*k - 45 = 0.
3, 15
Factor -2*v**2/19 + 16*v/19 - 14/19.
-2*(v - 7)*(v - 1)/19
Factor 5*i**3/2 + 30*i**2 - 160*i.
5*i*(i - 4)*(i + 16)/2
Factor r**3/3 + 6*r**2 + 20*r + 56/3.
(r + 2)**2*(r + 14)/3
Factor -a**4 + 57*a**3 + 117*a**2 + 59*a.
-a*(a - 59)*(a + 1)**2
Let 2*p**3/5 - 492*p**2/5 + 28728*p/5 + 190512/5 = 0. Calculate p.
-6, 126
Let -5*l**4 + 100*l**3 - 480*l**2 - 1280*l + 10240 = 0. Calculate l.
-4, 8
Factor 2*w**5/3 - 2*w**4 - 6*w**3 + 18*w**2.
2*w**2*(w - 3)**2*(w + 3)/3
Suppose -4*g**3 + 64*g**2 - 60*g = 0. What is g?
0, 1, 15
Factor 5*h**4 + 65*h**3 - 5*h**2 - 65*h.
5*h*(h - 1)*(h + 1)*(h + 13)
Factor -2*p**3/5 + 22*p**2/5 + 288*p/5 - 648/5.
-2*(p - 18)*(p - 2)*(p + 9)/5
Let -3*w**3 - 630*w**2 - 2484*w - 2472 = 0. Calculate w.
-206, -2
Factor 3*v**4/7 - 1110*v**3/7 + 99291*v**2/7 + 626040*v/7 + 954288/7.
3*(v - 188)**2*(v + 3)**2/7
Factor 4*w**5 - 12*w**3 - 8*w**2.
4*w**2*(w - 2)*(w + 1)**2
Factor 2*u**3 - 270*u**2 - 1106*u - 834.
2*(u - 139)*(u + 1)*(u + 3)
Find h, given that -3*h**2/5 - 72*h - 708/5 = 0.
-118, -2
Suppose k**5/3 - 110*k**4/3 - 571*k**3/3 - 460*k**2/3 = 0. Calculate k.
-4, -1, 0, 115
Factor n**2 - 1918*n + 919681.
(n - 959)**2
Determine w, given that -5*w**2/6 - 365*w/3 - 725/6 = 0.
-145, -1
Determine y, given that 4*y**3 + 68*y**2 + 300*y + 396 = 0.
-11, -3
Factor -5*b**3 + 80*b**2 - 340*b + 400.
-5*(b - 10)*(b - 4)*(b - 2)
Factor -i**2/5 - 102*i/5 - 2601/5.
-(i + 51)**2/5
Factor -4*f**4 - 28*f**3 - 60*f**2 - 36*f.
-4*f*(f + 1)*(f + 3)**2
Let 2645*o**5 + 10*o**4 - 5290*o**3 - 20*o**2 + 2645*o + 10 = 0. Calculate o.
-1, -2/529, 1
Factor -4*b**2 - 468*b + 952.
-4*(b - 2)*(b + 119)
Factor j**4/3 - 8*j**3/3 + 7*j**2/3.
j**2*(j - 7)*(j - 1)/3
Find u, given that 25*u**2 - 120*u - 25 = 0.
-1/5, 5
Suppose 4*a**3/5 - 352*a**2/5 + 2588*a/5 - 448 = 0. Calculate a.
1, 7, 80
Find t, given that -3*t**5 - 30*t**4 - 36*t**3 + 102*t**2 + 39*t - 72 = 0.
-8, -3, -1, 1
Factor -40*n**3/11 + 2*n**2 + 8*n/11.
-2*n*(4*n + 1)*(5*n - 4)/11
Let 4*j**5 - 72*j**4 + 272*j**3 - 120*j**2 - 468*j = 0. Calculate j.
-1, 0, 3, 13
Find l such that 6*l**4/13 - 76*l**3/13 + 58*l**2/13 + 556*l/13 + 176/13 = 0.
-2, -1/3, 4, 11
Suppose -4*z**5 + 640*z**4 - 35464*z**3 + 744192*z**2 - 3464532*z - 4244832 = 0. What is z?
-1, 8, 51
Factor -2*o**2/15 + 58*o/5 - 168/5.
-2*(o - 84)*(o - 3)/15
Factor -h**2 - 83*h - 162.
-(h + 2)*(h + 81)
What is q in -10*q**3 + 196*q**2 + 80*q = 0?
-2/5, 0, 20
Factor -j**5/5 + 17*j**4/5 - 18*j**3 + 178*j**2/5 - 149*j/5 + 9.
-(j - 9)*(j - 5)*(j - 1)**3/5
Let -4*y**5 - 32*y**4 - 48*y**3 + 88*y**2 + 116*y - 120 = 0. Calculate y.
-5, -3, -2, 1
Solve 10*w**5/9 + 28*w**4/3 + 146*w**3/9 - 8*w = 0 for w.
-6, -2, -1, 0, 3/5
Find p, given that 2*p**5 + 2*p**4 - 46*p**3 + 6*p**2 + 180*p = 0.
-5, -2, 0, 3
Factor 2*p**3/15 - 14*p**2/5 - 44*p/15.
2*p*(p - 22)*(p + 1)/15
Let 4*f**4 + 12*f**3 - 24*f**2 - 32*f = 0. Calculate f.
-4, -1, 0, 2
Determine k so that -5*k**2 + 355*k - 350 = 0.
1, 70
Solve -3*u**4 + 75*u**3 - 69*u**2 - 75*u + 72 = 0 for u.
-1, 1, 24
Suppose -16*x**4/7 - 54*x**3/7 + 24*x**2/7 + 106*x/7 - 60/7 = 0. What is x?
-3, -2, 5/8, 1
Solve -7*b**4 - 16*b**3 - 4*b**2 = 0 for b.
-2, -2/7, 0
Factor -3*y**3 - 3*y**2 + 24*y + 36.
-3*(y - 3)*(y + 2)**2
Factor z**5/3 - 2*z**4/3 + 2*z**2/3 - z/3.
z*(z - 1)**3*(z + 1)/3
Find a such that 5*a**4 + 660*a**3 - 15*a**2 - 1990*a - 1320 = 0.
-132, -1, 2
Find p such that -p**5/4 - p**4/4 + p**3/2 + p**2/2 - p/4 - 1/4 = 0.
-1, 1
Find h, given that -h**2/2 - 9*h + 63/2 = 0.
-21, 3
Find l such that -l**4/6 - 24*l**3 + 445*l**2/6 + 98*l = 0.
-147, -1, 0, 4
Factor -4*j**4 - 36*j**3 - 60*j**2 - 28*j.
-4*j*(j + 1)**2*(j + 7)
Let 2*z**4/13 + 8*z**3/13 - 6*z**2 + 108*z/13 = 0. What is z?
-9, 0, 2, 3
Factor 27*w**5/11 - 106*w**4/11 + 14*w**3 - 96*w**2/11 + 19*w/11 + 2/11.
(w - 1)**4*(27*w + 2)/11
Factor p**2/12 - 247*p/12 - 105.
(p - 252)*(p + 5)/12
Suppose w**4 + 15*w**3 + 9*w**2 - 67*w + 42 = 0. What is w?
-14, -3, 1
What is i in 2*i**3/19 + 98*i**2/19 + 368*i/19 + 360/19 = 0?
-45, -2
Determine k so that -3*k**3 + 69*k**2 - 429*k + 363 = 0.
1, 11
Factor -4*a**3 + 80*a**2.
-4*a**2*(a - 20)
Factor -5*m**4 + 45*m**3.
-5*m**3*(m - 9)
Factor -2*d**2/3 - 214*d/3.
-2*d*(d + 107)/3
Factor 2*x**3/11 + 94*x**2/11.
2*x**2*(x + 47)/11
Solve -f**3/4 + f**2 - f = 0 for f.
0, 2
Suppose -d**5 + 502*d**4 - 84168*d**3 + 4741130*d**2 - 