*c - 414 = 0. Calculate c.
-69, 2
Determine f so that -28*f**3 + 64*f**2 + 28*f - 64 = 0.
-1, 1, 16/7
Factor 3*k**4 + 18*k**3 + 3*k**2 - 72*k + 48.
3*(k - 1)**2*(k + 4)**2
Factor 3*p**3/2 - 177*p**2 - 1089*p/2.
3*p*(p - 121)*(p + 3)/2
Determine n so that -2*n**5/9 + 16*n**4/9 - 38*n**3/9 + 8*n**2/3 = 0.
0, 1, 3, 4
Factor 3128*q**2 + 9380*q - 12.
4*(q + 3)*(782*q - 1)
Factor 2*n**3 + 1538*n**2 + 3070*n + 1534.
2*(n + 1)**2*(n + 767)
Find t such that 4*t**3 + 328*t**2 + 6384*t - 14112 = 0.
-42, 2
Factor 3*v**3/8 - 105*v**2/4.
3*v**2*(v - 70)/8
Let -2*k**4/3 - 47*k**3/3 + 181*k**2/3 - 71*k + 27 = 0. What is k?
-27, 1, 3/2
Suppose -3*h**2 - 438*h - 15987 = 0. Calculate h.
-73
Determine o so that 2*o**3/9 - 44*o**2/9 + 130*o/9 + 1352/9 = 0.
-4, 13
Factor o**3/3 + 175*o**2/3 + 688*o/3 + 228.
(o + 2)**2*(o + 171)/3
Let -h**2/3 - 14*h/3 = 0. What is h?
-14, 0
Factor -x**3/4 + x**2 - x.
-x*(x - 2)**2/4
Factor l**2 - 25*l + 24.
(l - 24)*(l - 1)
Find h, given that 3*h**5/5 - 198*h**4/5 + 2844*h**3/5 + 2814*h**2 + 2205*h = 0.
-3, -1, 0, 35
Factor -3*o**3 - 39*o**2.
-3*o**2*(o + 13)
Factor -2*j**5/3 - 10*j**4/3 + 26*j**3/3 - 14*j**2/3.
-2*j**2*(j - 1)**2*(j + 7)/3
Determine h, given that 3*h**3 + 43*h**2 + 158*h + 48 = 0.
-8, -6, -1/3
Factor -l**5/9 + 4*l**4/9 - 5*l**3/9 + 2*l**2/9.
-l**2*(l - 2)*(l - 1)**2/9
Factor 4*k**2 - 31872*k + 63489024.
4*(k - 3984)**2
Find x, given that -2*x**4/7 + 64*x**3/7 - 624*x**2/7 + 256*x - 224 = 0.
2, 14
Solve h**2/2 - 45*h + 2025/2 = 0 for h.
45
Factor 3*r**2 + 1206*r - 1209.
3*(r - 1)*(r + 403)
Factor 4*w**4 - 3736*w**3 - 3744*w**2 + 3736*w + 3740.
4*(w - 935)*(w - 1)*(w + 1)**2
Suppose 2*z**2 + 70*z + 392 = 0. What is z?
-28, -7
Factor -3*c**3 + 57*c**2 - 357*c + 735.
-3*(c - 7)**2*(c - 5)
Factor 3*t**3 + 1368*t**2 + 207936*t + 10535424.
3*(t + 152)**3
Let -2*l**5 - 22*l**4 - 82*l**3 - 122*l**2 - 60*l = 0. What is l?
-5, -3, -2, -1, 0
Suppose x**3 + 13*x**2/2 - 23*x/2 + 4 = 0. What is x?
-8, 1/2, 1
Factor 2*v**5 + 16*v**4 + 38*v**3 + 24*v**2.
2*v**2*(v + 1)*(v + 3)*(v + 4)
Factor i**3/3 - 10*i**2/9 + i - 2/9.
(i - 2)*(i - 1)*(3*i - 1)/9
Determine j, given that -5*j**2 - 470*j - 9600 = 0.
-64, -30
Solve -4*b**3 - 23532*b**2 - 46146252*b - 30164266724 = 0 for b.
-1961
Factor 4*m**2/5 - 12*m/5 - 216/5.
4*(m - 9)*(m + 6)/5
Solve j**4/4 - 17*j**3/4 + 27*j**2/2 + 18*j = 0.
-1, 0, 6, 12
Find u such that -3*u**5/5 - 6*u**4/5 + 9*u**3/5 + 12*u**2/5 - 12*u/5 = 0.
-2, 0, 1
Factor -3*n**3 - 36*n**2 + 81*n - 42.
-3*(n - 1)**2*(n + 14)
Factor i**2/3 + 2*i - 7/3.
(i - 1)*(i + 7)/3
Suppose 2*l**3/15 + 2428*l**2/15 + 736898*l/15 = 0. What is l?
-607, 0
What is o in 85*o**2 + 210*o + 80 = 0?
-2, -8/17
Suppose 3*h**4 + 30*h**3 - 48*h**2 - 174*h - 99 = 0. Calculate h.
-11, -1, 3
Find d, given that -5*d**4/3 + 15*d**3/2 - 15*d**2/2 - 5*d/6 + 5/2 = 0.
-1/2, 1, 3
Find q, given that -2*q**2/5 + 16*q/5 - 14/5 = 0.
1, 7
Let 3*j**4 + 12*j**3 - 36*j**2 - 96*j + 192 = 0. Calculate j.
-4, 2
Find n such that n**5/2 + 7*n**4 + 12*n**3 = 0.
-12, -2, 0
Factor 9*k**4 + 60*k**3 + 123*k**2 + 60*k - 36.
3*(k + 2)**2*(k + 3)*(3*k - 1)
Factor -s**4 - 6*s**3 - 11*s**2 - 6*s.
-s*(s + 1)*(s + 2)*(s + 3)
Determine z so that z**2 + 15*z + 54 = 0.
-9, -6
Find y such that -2*y**5/3 - 8*y**4/3 + 2*y**3/3 + 8*y**2/3 = 0.
-4, -1, 0, 1
Let -5*o**2 - 60*o = 0. What is o?
-12, 0
Factor -17*x**3/4 - 9*x**2/2 + 33*x/4 + 1/2.
-(x - 1)*(x + 2)*(17*x + 1)/4
What is t in 3*t**3 - 36*t**2 - 189*t + 1470 = 0?
-7, 5, 14
What is u in u**5/3 + 16*u**4/3 + 64*u**3/3 = 0?
-8, 0
Determine o so that -2*o**5 + 4*o**4 = 0.
0, 2
Suppose 14*i**5/17 - 62*i**4/17 - 144*i**3/17 + 72*i**2/17 = 0. What is i?
-2, 0, 3/7, 6
Find g, given that 2*g**5/5 - 358*g**4/5 - 12*g**3/5 + 2132*g**2/5 + 2858*g/5 + 1074/5 = 0.
-1, 3, 179
What is b in b**5/3 - 2*b**4/3 - 13*b**3/3 + 26*b**2/3 + 12*b - 24 = 0?
-3, -2, 2, 3
Factor -4*q**3 + 24*q**2 + 100*q + 72.
-4*(q - 9)*(q + 1)*(q + 2)
Solve -2*o**3/7 + 4*o**2/7 + 8*o/7 - 16/7 = 0 for o.
-2, 2
Factor -2*b**2/9 + 512*b/3 - 32768.
-2*(b - 384)**2/9
Factor -2*b**4 + 28*b**3 - 90*b**2.
-2*b**2*(b - 9)*(b - 5)
Factor -g**5/2 - 59*g**4/2 - 171*g**3/2 - 169*g**2/2 - 28*g.
-g*(g + 1)**3*(g + 56)/2
Solve h**4/4 + 217*h**3/2 + 48793*h**2/4 + 92442*h + 181476 = 0.
-213, -4
Solve -5*w**2 + 45 = 0 for w.
-3, 3
Determine f so that -2*f**2 - 42*f + 44 = 0.
-22, 1
Factor 4*s**2 - 94*s + 480.
2*(s - 16)*(2*s - 15)
Find k, given that -2*k**2 - 16*k + 96 = 0.
-12, 4
Factor -25*n**3/4 + 615*n**2/4 + 249*n/4 + 25/4.
-(n - 25)*(5*n + 1)**2/4
Factor 4*q**2 - 200*q + 384.
4*(q - 48)*(q - 2)
Factor -2*r**2 + 26*r - 60.
-2*(r - 10)*(r - 3)
Suppose 9*w**4 - 12*w**3 - 51*w**2 + 18*w = 0. What is w?
-2, 0, 1/3, 3
Factor -3*s**3/7 - 198*s**2/7 - 387*s/7 - 192/7.
-3*(s + 1)**2*(s + 64)/7
Let -3*i**5/5 + 39*i**4/5 - 129*i**3/5 - 51*i**2/5 + 456*i/5 + 336/5 = 0. What is i?
-1, 4, 7
Factor -2*d**4 + 78*d**3 - 420*d**2 + 808*d - 528.
-2*(d - 33)*(d - 2)**3
Determine r so that -r**2/2 - 41*r + 84 = 0.
-84, 2
Factor 4*f**3 - 32*f**2 - 12*f + 360.
4*(f - 6)*(f - 5)*(f + 3)
Factor -n**4/2 + 13*n**3/6 + 5*n**2/3.
-n**2*(n - 5)*(3*n + 2)/6
Solve 2*c**3/17 + 190*c**2/17 + 4350*c/17 + 29250/17 = 0.
-65, -15
Factor -3125*m**5 + 5625*m**4 - 3250*m**3 + 850*m**2 - 105*m + 5.
-5*(m - 1)*(5*m - 1)**4
Let -m**2 - 50*m = 0. What is m?
-50, 0
Factor 2*i**2 - 2648*i + 876488.
2*(i - 662)**2
Find a, given that -3*a**4/8 + 87*a**3/8 - 117*a**2/4 = 0.
0, 3, 26
Factor -5*k**2 - 85*k - 150.
-5*(k + 2)*(k + 15)
Factor 3*s**5 - 60*s**4 + 162*s**3 - 156*s**2 + 51*s.
3*s*(s - 17)*(s - 1)**3
Solve 2*g**5 - 16*g**4 - 262*g**3 + 52*g**2 + 736*g - 512 = 0 for g.
-8, -2, 1, 16
Factor 3*h**2 + 88*h - 91.
(h - 1)*(3*h + 91)
Find v such that -8*v**3 + 694*v**2 + 174*v = 0.
-1/4, 0, 87
Determine w so that 2*w**2 + 2188*w - 2190 = 0.
-1095, 1
Let 4*y**3/7 - 116*y**2/7 + 736*y/7 - 192 = 0. Calculate y.
4, 21
Factor -x**4 + 13*x**3 - 55*x**2 + 75*x.
-x*(x - 5)**2*(x - 3)
Factor 15*o**4 + 25*o**3 + 10*o**2.
5*o**2*(o + 1)*(3*o + 2)
Factor 2*t**3/3 - 2*t**2/3 - 4*t/3.
2*t*(t - 2)*(t + 1)/3
Find k such that 5*k**5 + 100*k**4 + 230*k**3 - 440*k**2 - 235*k + 340 = 0.
-17, -4, -1, 1
Solve p**4/3 + 7*p**3 - 8*p**2 - 44*p/3 = 0 for p.
-22, -1, 0, 2
Factor -j**3/3 - 62*j**2/3 - 391*j/3 - 110.
-(j + 1)*(j + 6)*(j + 55)/3
Factor -u**2 - 3*u + 54.
-(u - 6)*(u + 9)
Find r such that -2*r**3/9 - 14*r**2/9 - 32*r/9 - 8/3 = 0.
-3, -2
Solve t**3/6 - 27*t**2/2 + 220*t + 6776/3 = 0.
-7, 44
Solve -3*c**3 - 66*c**2 - 384*c - 672 = 0.
-14, -4
Determine n so that n**4/4 - 7*n**3/2 + 2*n**2 + 31*n/2 + 39/4 = 0.
-1, 3, 13
Let -5*j**2 - 540*j - 14580 = 0. Calculate j.
-54
Factor 8*q**3/3 + 28*q**2/3 + 8*q/3 - 4.
4*(q + 1)*(q + 3)*(2*q - 1)/3
Let -3*w**5 + 180*w**4 + 1632*w**3 + 384*w**2 - 25344*w - 52224 = 0. Calculate w.
-4, 4, 68
Factor -3*f**4 + 11*f**3 - 12*f**2 + 4*f.
-f*(f - 2)*(f - 1)*(3*f - 2)
Suppose -144*s**2 - 4368*s - 33124 = 0. Calculate s.
-91/6
Factor -3*h**3 + 771*h**2 + 1551*h + 777.
-3*(h - 259)*(h + 1)**2
Factor -c**3/2 - 3*c**2/2 + 50*c - 48.
-(c - 8)*(c - 1)*(c + 12)/2
Suppose -147*t**5 + 4263*t**4 + 30147*t**3 + 25377*t**2 - 2460*t - 2100 = 0. Calculate t.
-5, -1, -2/7, 2/7, 35
Suppose -4*s**5 - 40*s**4 - 84*s**3 + 144*s**2 + 432*s = 0. What is s?
-6, -3, 0, 2
Suppose -105*a**4/2 + 657*a**3/2 + 2022*a**2 - 558*a - 120 = 0. Calculate a.
-4, -1/7, 2/5, 10
Determine m so that 7*m**5 - 3*m**4 - 14*m**3 + 6*m**2 + 7*m - 3 = 0.
-1, 3/7, 1
Suppose -4*j**5 + 38*j**4 - 70*j**3 - 154*j**2 + 290*j - 100 = 0. Calculate j.
-2, 1/2, 1, 5
Let -z**5/9 + 20*z**4/3 - 160*z**3/3 - 22400*z**2/9 + 62720*z/3 + 351232 = 0. Calculate z.
-12, 28
Factor 2*v**4/7 + 388*v**3/7 + 17618*v**2/7 - 116400*v/7 + 180000/7.
2*(v - 3)**2*(v + 100)**2/7
Let -2*w**3/11 + 136*w**2/11 - 2016*w/11 - 10368/11 = 0. What is w?
-4, 36
Factor -3*u**4 - 162*u**3 + 1845*u**2 - 4800*u.
-3*u*(u - 5)**2*(u + 64)
Solve -p**3/5 - 3*p**2/5 - 2*p/5 = 0.
-2, -1, 0
Factor -l**4 + 51*l**3 - 99*l**2 + 49*l.
-l*(l - 49)*(l - 1)**2
Suppose 4*p**4 - 76*p**2 + 24*p + 288 = 0. Calculate p.
-4, -2, 3
Let 4*d**5/3 + 16*d**4/3 - 100*d**3/3 - 64*d**2/3 + 112*d = 0. Calculate d.
-7, -2, 0, 2, 3
Factor -m**4 + 1169*m**3 - 3501*m**2 + 3499*m - 1166.
-(m - 1166)*(m - 1)**3
What is r in 2*r**5/11 + 26*r*