*(y - 633)**2/7
Solve 3*w**5/5 - 9*w**4/5 - 126*w**3/5 - 60*w**2 - 216*w/5 = 0.
-2, 0, 9
Factor 11*b**2/2 - 15*b/2 + 2.
(b - 1)*(11*b - 4)/2
Let -l**3/8 - 51*l**2/4 + 105*l/2 - 53 = 0. Calculate l.
-106, 2
Solve 2*l**4/3 + 20*l**3/3 + 14*l**2/3 - 12*l = 0.
-9, -2, 0, 1
Suppose d**4/7 - 4*d**3/7 - 6*d**2/7 + 36*d/7 - 27/7 = 0. What is d?
-3, 1, 3
Solve -2*q**4/5 - 44*q**3/5 - 194*q**2/5 + 528*q/5 - 288/5 = 0 for q.
-12, 1
Factor -3*r**4 - 90*r**3 - 351*r**2 + 4860*r - 8748.
-3*(r - 3)**2*(r + 18)**2
Determine j so that 4*j**3 + 112*j**2 + 784*j = 0.
-14, 0
Factor -2*q**5 + 6*q**3 - 4*q**2.
-2*q**2*(q - 1)**2*(q + 2)
Solve -10*d**2/9 + 36*d + 22 = 0 for d.
-3/5, 33
Find a such that 15*a**3 + 62*a**2 + 68*a + 8 = 0.
-2, -2/15
Factor 2*i**3 + 104*i**2 + 1242*i - 2916.
2*(i - 2)*(i + 27)**2
Factor 20*k**3 - 76*k**2 + 44*k + 12.
4*(k - 3)*(k - 1)*(5*k + 1)
Let -z**2/6 - 25*z/3 - 625/6 = 0. What is z?
-25
What is v in -3*v**5 + 30*v**3 + 60*v**2 + 45*v + 12 = 0?
-1, 4
Factor -k**4 + 221*k**3 - 873*k**2 + 1087*k - 434.
-(k - 217)*(k - 2)*(k - 1)**2
Let 5*q**2 + 570*q - 575 = 0. Calculate q.
-115, 1
What is j in -3*j**4 + 342*j**3 + 36*j**2 - 4056*j - 5472 = 0?
-2, 4, 114
Let -4*v**3 - 128*v**2 - 1332*v - 4536 = 0. What is v?
-14, -9
Suppose 2*v**3 + 4*v**2 - 10*v - 12 = 0. Calculate v.
-3, -1, 2
What is v in -2*v**3/7 + 8*v**2/7 = 0?
0, 4
Solve -2*m**5/19 + 12*m**4/19 - 16*m**3/19 - 12*m**2/19 + 18*m/19 = 0.
-1, 0, 1, 3
Let -4*a**5 + 28*a**4/3 - 4*a**3 - 4*a**2 + 8*a/3 = 0. Calculate a.
-2/3, 0, 1
Factor 5*l**2 - 5*l.
5*l*(l - 1)
Factor 3*y**3 + 504*y**2 + 2943*y + 4374.
3*(y + 3)**2*(y + 162)
Factor -6*l**2 - 718*l - 476.
-2*(l + 119)*(3*l + 2)
Find k, given that -8*k**4 - 22*k**3 + 6*k**2 + 32*k - 8 = 0.
-2, 1/4, 1
Let 124*q**2 - 736*q - 48 = 0. Calculate q.
-2/31, 6
Factor -z**2 - 32*z/3 + 11/3.
-(z + 11)*(3*z - 1)/3
What is g in -2*g**2/3 + 8632*g/3 - 9313928/3 = 0?
2158
Factor -4*x**2 + 192*x + 196.
-4*(x - 49)*(x + 1)
Let -2*a**5/9 + 4*a**4/3 - 16*a**3/9 - 4*a**2/9 + 2*a - 8/9 = 0. Calculate a.
-1, 1, 4
Solve 7*v**5/2 - 36*v**4 + 75*v**3 + 182*v**2 - 765*v/2 - 450 = 0.
-12/7, -1, 3, 5
Find v, given that -5*v**4 + 10*v**3 + 5*v**2 - 10*v = 0.
-1, 0, 1, 2
Factor i**5/2 - 17*i**3 - 48*i**2 - 63*i/2.
i*(i - 7)*(i + 1)*(i + 3)**2/2
Let -35*l**4 + 10*l**3 + 35*l**2 - 10*l = 0. Calculate l.
-1, 0, 2/7, 1
Factor -4*w**3 + 24*w**2 - 32*w.
-4*w*(w - 4)*(w - 2)
Find u, given that -20*u**4 - 132*u**3 - 64*u**2 + 48*u = 0.
-6, -1, 0, 2/5
Solve -5*c**4 + 75*c**3 - 135*c**2 + 65*c = 0.
0, 1, 13
Solve -4*k**5 + 2476*k**4 - 386860*k**3 + 1145764*k**2 - 1140832*k + 379456 = 0 for k.
1, 308
Factor -5*b**2 + 3005*b - 3000.
-5*(b - 600)*(b - 1)
Factor 2*n**5 - 22*n**4 + 84*n**3 - 108*n**2 - 54*n + 162.
2*(n - 3)**4*(n + 1)
Find h, given that -5*h**2 + 15*h + 50 = 0.
-2, 5
Factor -o**4/3 + 9*o**3 + 11*o**2 - 143*o/3 + 28.
-(o - 28)*(o - 1)**2*(o + 3)/3
Let 216*a**5/5 + 378*a**4/5 - 234*a**3/5 - 286*a**2/5 - 14*a - 4/5 = 0. Calculate a.
-2, -1/3, -1/12, 1
Factor t**3/5 + 1791*t**2/5 - 1792*t/5.
t*(t - 1)*(t + 1792)/5
Let -117*j**2/5 - 114*j/5 + 3/5 = 0. Calculate j.
-1, 1/39
Determine b so that 14*b**4 + 8*b**3 - 20*b**2 - 8*b + 6 = 0.
-1, 3/7, 1
Factor -2*c**4 - 28*c**3 - 42*c**2 + 72*c.
-2*c*(c - 1)*(c + 3)*(c + 12)
Factor -3*y**3/4 + 369*y**2/4 - 363*y/2.
-3*y*(y - 121)*(y - 2)/4
Factor z**3/4 + 139*z**2/4 + 1190*z - 1225.
(z - 1)*(z + 70)**2/4
What is h in -3*h**2 - 33*h = 0?
-11, 0
Factor 5*d**5 - 2345*d**4 - 7065*d**3 - 7075*d**2 - 2360*d.
5*d*(d - 472)*(d + 1)**3
Factor -2*w**4/3 - 4*w**3/3 + 6*w**2 + 12*w.
-2*w*(w - 3)*(w + 2)*(w + 3)/3
Factor r**3/2 + 50*r**2 - 531*r/2 - 315.
(r - 6)*(r + 1)*(r + 105)/2
Let 25*r**2 + 30*r + 5 = 0. Calculate r.
-1, -1/5
Factor 4*z**3/7 - 32*z**2/7 + 36*z/7 + 72/7.
4*(z - 6)*(z - 3)*(z + 1)/7
Factor 5*q**2 - 2205*q.
5*q*(q - 441)
Suppose -5*c**2 - 27770*c - 27765 = 0. What is c?
-5553, -1
Find b, given that 4*b**4 + 46*b**3 + 82*b**2 - 78*b - 54 = 0.
-9, -3, -1/2, 1
What is j in -12*j**3 + 117*j**2 + 162*j + 33 = 0?
-1, -1/4, 11
Factor 116*b**2 - 4*b.
4*b*(29*b - 1)
Factor 33*p**2/2 + 15*p/2.
3*p*(11*p + 5)/2
Factor 4*x**4 - 4*x**3 - 16*x**2 + 16*x.
4*x*(x - 2)*(x - 1)*(x + 2)
Factor -q**4/5 - 43*q**3/5 + 3*q**2/5 + 131*q/5 + 86/5.
-(q - 2)*(q + 1)**2*(q + 43)/5
Factor 2*d**3/7 - 6*d**2/7 - 18*d/7 - 10/7.
2*(d - 5)*(d + 1)**2/7
Factor 3*q**3/2 - 6*q**2 - 33*q/2 + 45.
3*(q - 5)*(q - 2)*(q + 3)/2
Suppose -3*z**4 - 52*z**3 - 206*z**2 + 180*z + 81 = 0. What is z?
-9, -1/3, 1
Factor l**3/10 - 7*l**2/2 - 18*l/5.
l*(l - 36)*(l + 1)/10
Factor 10*x**3/11 + 2*x**2/11 - 10*x/11 - 2/11.
2*(x - 1)*(x + 1)*(5*x + 1)/11
Suppose n**4 + 66*n**3 + 1088*n**2 - 66*n - 1089 = 0. Calculate n.
-33, -1, 1
Factor l**5/6 - 3*l**4 - 44*l**3/3 + 1385*l**2/3 - 5075*l/2 + 13000/3.
(l - 16)*(l - 5)**3*(l + 13)/6
Solve -3*c**3/5 - 3*c**2 - 12*c/5 = 0.
-4, -1, 0
Factor 4*g**3/7 - 16*g**2 + 384*g/7.
4*g*(g - 24)*(g - 4)/7
Find j such that 2*j**3/9 - 2400*j**2 + 8640000*j - 10368000000 = 0.
3600
Suppose u**2/2 + 233*u/2 + 116 = 0. What is u?
-232, -1
Solve -d**2/11 + 34*d - 1480/11 = 0.
4, 370
Let 2*f**5 - 30*f**4 + 156*f**3 - 292*f**2 - 30*f + 450 = 0. Calculate f.
-1, 3, 5
Let 2*p**4 + 8*p**3 - 164*p**2 - 728*p + 882 = 0. What is p?
-7, 1, 9
Determine g so that -g**3/4 + 9*g**2/4 - 13*g/2 + 6 = 0.
2, 3, 4
Determine i so that -2*i**3 - 182*i**2 - 180*i = 0.
-90, -1, 0
Suppose 3*k**2/2 - 543*k/2 + 270 = 0. Calculate k.
1, 180
Factor 3*s**2 + 636*s + 33708.
3*(s + 106)**2
Factor d**5 - 62*d**4 + 1321*d**3 - 10460*d**2 + 17200*d - 8000.
(d - 20)**3*(d - 1)**2
Factor -4*p**3/5 - 1272*p**2/5 - 134832*p/5 - 4764064/5.
-4*(p + 106)**3/5
Determine d so that 27*d**2/4 - 63*d/2 + 147/4 = 0.
7/3
Factor 3*t**2/5 + 3*t/5 - 126/5.
3*(t - 6)*(t + 7)/5
Factor 2*h**2/15 - 28*h/5 + 82/15.
2*(h - 41)*(h - 1)/15
Factor 5*g**3 + 320*g**2 + 5425*g + 9610.
5*(g + 2)*(g + 31)**2
Factor -r**5/3 + 266*r**4/3 - 23224*r**3/3 + 210960*r**2 + 939600*r + 972000.
-(r - 90)**3*(r + 2)**2/3
Determine a so that -a**3 + 166*a**2 - 1264*a = 0.
0, 8, 158
Factor q**3/3 - 10*q**2 + 36*q + 648.
(q - 18)**2*(q + 6)/3
Let v**2 - 377*v + 376 = 0. What is v?
1, 376
What is r in -r**2/2 + 23*r/2 - 11 = 0?
1, 22
Solve 2*p**2/3 + 20*p + 58/3 = 0.
-29, -1
Let -5*c**3 - 180*c**2 = 0. What is c?
-36, 0
Solve -g**2/2 + 10*g + 22 = 0.
-2, 22
Factor -3*a**2 + 774*a - 49923.
-3*(a - 129)**2
Find w such that -w**4/4 + 3*w**3/4 - w**2/2 = 0.
0, 1, 2
Factor -4*t**2 - 16*t + 468.
-4*(t - 9)*(t + 13)
Factor 2*v**3/5 - 172*v**2/5 + 338*v/5 - 168/5.
2*(v - 84)*(v - 1)**2/5
Factor -5*w**3 - 145*w**2 + 45*w + 1305.
-5*(w - 3)*(w + 3)*(w + 29)
What is z in 4*z**2 + 4*z = 0?
-1, 0
Let -3*j**5 - 65*j**4/3 + 49*j**3/3 + 509*j**2/3 + 488*j/3 + 28 = 0. What is j?
-7, -2, -1, -2/9, 3
Suppose -3*h**5 + 105*h**4 - 954*h**3 + 366*h**2 + 4029*h + 2601 = 0. Calculate h.
-1, 3, 17
Factor -3*n**2/8 + 5499*n/2 - 10079667/2.
-3*(n - 3666)**2/8
Suppose -h**3/6 + 7*h/6 - 1 = 0. Calculate h.
-3, 1, 2
Factor o**4/4 + 13*o**3/4 + 51*o**2/4 + 67*o/4 + 7.
(o + 1)**2*(o + 4)*(o + 7)/4
Factor 3*l**2/2 - 60*l + 837/2.
3*(l - 31)*(l - 9)/2
Factor 5*h**3 + 45*h**2 + 135*h + 135.
5*(h + 3)**3
Suppose 3*d**2 - 534*d + 23763 = 0. What is d?
89
Factor -j**2/4 + 113*j/2 - 12769/4.
-(j - 113)**2/4
Determine o, given that 4*o**3 + 48*o**2 - 720*o - 1600 = 0.
-20, -2, 10
Factor -2*h**2 - 29*h/2 + 12.
-(h + 8)*(4*h - 3)/2
Factor u**4 + 18*u**3 + 121*u**2 + 360*u + 400.
(u + 4)**2*(u + 5)**2
Let 8*f**3/7 - 78*f**2/7 + 178*f/7 - 108/7 = 0. What is f?
1, 2, 27/4
Determine t, given that -15*t**5 + 36*t**4 + 63*t**3 - 120*t**2 + 36*t = 0.
-2, 0, 2/5, 1, 3
Factor -25*l**4 + 55*l**3 - 10*l**2.
-5*l**2*(l - 2)*(5*l - 1)
Determine c so that -c**4 + 23*c**3 + 24*c**2 = 0.
-1, 0, 24
Factor 8*p**2 - 488*p + 7442.
2*(2*p - 61)**2
Suppose -2*j**3/7 - 134*j**2/7 + 2*j/7 + 134/7 = 0. Calculate j.
-67, -1, 1
Solve -k**2/3 + 130*k/3 - 625/3 = 0.
5, 125
Find s such that -8*s**2/13 + 18*s/13 - 4/13 = 0.
1/4, 2
Factor y**2/2 + 431*y + 185761/2.
(y + 431)**2/2
Factor -10*u**3 - 125*u**2 - 220*u - 105.
-5*(u + 1)**2*(2*u + 21)
Suppose -99*o**5/2 + 57*o**4 + 189*o**3/2 - 18*o**2 - 6*o = 0. What is o?
-1, -2/11, 0, 1/3, 2
Suppose -2*a**2/11 + 108*a/11 = 0. Calculate a.
0, 54
Fact