/2 - 30*n = 0. Calculate n.
-3, -1, 0, 1, 20
Determine x, given that x**2 - 46*x + 205 = 0.
5, 41
Factor 4*g**5 + 24*g**4 + 48*g**3 + 40*g**2 + 12*g.
4*g*(g + 1)**3*(g + 3)
Determine d so that -d**2/3 + 4*d/3 + 15 = 0.
-5, 9
Determine t so that -t**5/2 - 3*t**4 + 127*t**3/2 - 244*t**2 + 312*t - 128 = 0.
-16, 1, 4
Factor -5*t**3/4 + 15*t**2/4 + 5*t.
-5*t*(t - 4)*(t + 1)/4
Factor -4*c**3 - 132*c**2 - 252*c - 124.
-4*(c + 1)**2*(c + 31)
Factor -s**3/5 - 13*s**2/5 - 7*s + 49/5.
-(s - 1)*(s + 7)**2/5
Factor 5*j**5 - 25*j**4 + 15*j**3 + 25*j**2 - 20*j.
5*j*(j - 4)*(j - 1)**2*(j + 1)
Factor 3*y**2 - 342*y + 9747.
3*(y - 57)**2
What is m in 9*m**5/8 - 51*m**4/8 - 27*m**3/8 + 267*m**2/8 + 45*m/4 = 0?
-2, -1/3, 0, 3, 5
Let -4*m**5 + 4160*m**4 = 0. What is m?
0, 1040
Determine o, given that 8*o**2/7 + 10*o/7 + 2/7 = 0.
-1, -1/4
Factor -4*d**4 + 508*d**3 + 1028*d**2 + 516*d.
-4*d*(d - 129)*(d + 1)**2
Factor 3*i**3 + 21*i**2 + 33*i + 15.
3*(i + 1)**2*(i + 5)
Factor 2*o**2/7 - 4*o - 30/7.
2*(o - 15)*(o + 1)/7
Factor -q**4/2 - 137*q**3/2 - 4623*q**2/2 + 4761*q/2.
-q*(q - 1)*(q + 69)**2/2
Factor -4*k**4/3 - 8*k**3/3 + 4*k**2.
-4*k**2*(k - 1)*(k + 3)/3
Let -5*m**2 - 25*m + 70 = 0. Calculate m.
-7, 2
Suppose -y**3/4 - y**2/2 + 3*y/4 = 0. What is y?
-3, 0, 1
What is z in -10*z**3 + 164*z**2 - 64*z = 0?
0, 2/5, 16
Determine r so that -5*r**5 - 765*r**4 - 33190*r**3 - 302230*r**2 - 899925*r - 630125 = 0.
-71, -5, -1
Factor 3*w**2/5 + 1260*w + 661500.
3*(w + 1050)**2/5
Solve 3*x**3 + 36*x**2 + 60*x - 288 = 0.
-8, -6, 2
What is w in -6*w**4/7 - 36*w**3/7 - 54*w**2/7 = 0?
-3, 0
Factor 2*d**2/7 + 114*d/7.
2*d*(d + 57)/7
Factor -2*g**3 + 46*g**2.
-2*g**2*(g - 23)
Factor 25*a**4/3 - 230*a**3/3 + 183*a**2 - 144*a + 36.
(a - 6)*(a - 2)*(5*a - 3)**2/3
Solve 2*o**2/17 - 46*o/17 - 48/17 = 0 for o.
-1, 24
Let 2*q**3/7 - 10*q**2/7 - 16*q/7 + 96/7 = 0. What is q?
-3, 4
Factor -2*p**3/7 - 142*p**2/7 - 908*p/7 - 768/7.
-2*(p + 1)*(p + 6)*(p + 64)/7
Factor -c**3/2 - 15*c**2 - 179*c/2 + 105.
-(c - 1)*(c + 10)*(c + 21)/2
Find u such that -u**3/6 - 23*u**2/3 - 529*u/6 = 0.
-23, 0
Find y, given that y**2/4 - 55*y/4 - 363/2 = 0.
-11, 66
Solve w**3/8 + 5*w**2/2 + 9*w/2 = 0 for w.
-18, -2, 0
Factor 2*p**4/15 - 8*p**3/3 - 184*p**2/15 - 64*p/5.
2*p*(p - 24)*(p + 2)**2/15
Suppose 3*s**4/8 + 105*s**3/8 + 138*s**2 + 456*s = 0. What is s?
-19, -8, 0
Factor -25*b**3 - 410*b**2 - 1360*b - 480.
-5*(b + 4)*(b + 12)*(5*b + 2)
Suppose 7*x**5/2 + 6*x**4 - 25*x**3/2 - 11*x**2 + 18*x - 4 = 0. Calculate x.
-2, 2/7, 1
Let 28*t**5/19 - 470*t**4/19 + 18*t**3 + 164*t**2/19 - 64*t/19 = 0. What is t?
-1/2, 0, 2/7, 1, 16
Factor -882*x**5 + 1596*x**4 - 554*x**3 - 152*x**2 - 8*x.
-2*x*(x - 1)**2*(21*x + 2)**2
Let -338*m**2/5 + 312*m/5 - 72/5 = 0. What is m?
6/13
Let -3*q**2 + 333*q + 336 = 0. Calculate q.
-1, 112
Factor -2*m**3/7 + 164*m**2/7 - 3520*m/7 + 6400/7.
-2*(m - 40)**2*(m - 2)/7
Factor f**3 + 866*f**2 - f - 866.
(f - 1)*(f + 1)*(f + 866)
Factor -3*b**2 - 486*b + 4617.
-3*(b - 9)*(b + 171)
Factor 5*x**2 + 2120*x + 2115.
5*(x + 1)*(x + 423)
Find t such that -3*t**4 - 6138*t**3 - 3151839*t**2 - 12533796*t - 12509292 = 0.
-1021, -2
Factor 5*j**5 + 12195*j**4 + 24375*j**3 + 12185*j**2.
5*j**2*(j + 1)**2*(j + 2437)
Suppose 2*d**3/13 + 6*d**2/13 - 18*d/13 + 10/13 = 0. Calculate d.
-5, 1
Let -f**5/4 - 9*f**4/4 - 13*f**3/2 - 9*f**2/2 + 27*f/4 + 27/4 = 0. Calculate f.
-3, -1, 1
Factor j**3/5 + 76*j**2/5 + 148*j/5.
j*(j + 2)*(j + 74)/5
Determine l, given that l**3/5 - 17*l**2/5 - l/5 + 17/5 = 0.
-1, 1, 17
Find t such that -3*t**3 - 30*t**2 - 51*t - 24 = 0.
-8, -1
Let -3*t**4 - 186*t**3 + 780*t**2 - 792*t = 0. What is t?
-66, 0, 2
Suppose p**4/10 + 3*p**3/2 + 6*p**2/5 - 14*p/5 = 0. Calculate p.
-14, -2, 0, 1
Factor 2*v**2/5 - 668*v/5 + 55778/5.
2*(v - 167)**2/5
Factor v**5/8 + 131*v**4 + 2091*v**3/4 + 1567*v**2/2 + 4177*v/8 + 261/2.
(v + 1)**4*(v + 1044)/8
What is z in z**2/4 - 111*z/4 - 28 = 0?
-1, 112
Solve -5*k**5 + 385*k**4 + 785*k**3 + 395*k**2 = 0 for k.
-1, 0, 79
Factor 2*n**4/7 + 24*n**3/7 - 8*n**2/7 - 96*n/7.
2*n*(n - 2)*(n + 2)*(n + 12)/7
Factor 5*f**5 - 95*f**4 + 615*f**3 - 1505*f**2 + 980*f.
5*f*(f - 7)**2*(f - 4)*(f - 1)
Solve t**3/3 + 110*t**2/3 + 1044*t + 1944 = 0 for t.
-54, -2
Determine w, given that -2*w**2/9 + 40*w/3 - 232/9 = 0.
2, 58
Factor d**2 - 71*d + 70.
(d - 70)*(d - 1)
Determine g so that -7*g**5/5 + 26*g**4/5 + 29*g**3/5 - 92*g**2/5 + 28*g/5 + 16/5 = 0.
-2, -2/7, 1, 4
Factor -p**2 - 45*p - 44.
-(p + 1)*(p + 44)
Factor -2*s**2/7 - 590*s/7 + 1788/7.
-2*(s - 3)*(s + 298)/7
Let -n**3/5 + 21*n**2 - 2907*n/5 + 7803/5 = 0. What is n?
3, 51
Find u, given that -5*u**2 + 740*u - 2175 = 0.
3, 145
Factor -5*t**2 + 1320*t - 1315.
-5*(t - 263)*(t - 1)
Find k, given that 3*k**2 - 636*k - 639 = 0.
-1, 213
Determine j so that -j**3/4 - 57*j**2/4 - 783*j/4 + 841/4 = 0.
-29, 1
Solve c**5 - 18*c**4 - 60*c**3 - 62*c**2 - 21*c = 0 for c.
-1, 0, 21
What is h in -4*h**5 + 40*h**3 + 80*h**2 + 60*h + 16 = 0?
-1, 4
Suppose 4*m**3/5 + 18744*m**2/5 + 29278128*m/5 + 15244145312/5 = 0. What is m?
-1562
What is o in -5*o**3/2 - 15*o**2 + 40*o = 0?
-8, 0, 2
Solve -45*l**2 - 1590*l - 14045 = 0.
-53/3
Solve 3*q**2 + 315*q + 312 = 0 for q.
-104, -1
Factor 5*b**2/3 - 19450*b + 56745375.
5*(b - 5835)**2/3
Determine x so that 3*x**4/4 - 189*x**3 + 2247*x**2/4 - 747*x/2 = 0.
0, 1, 2, 249
Factor -k**4 + 16*k**3/5 - 17*k**2/5 + 6*k/5.
-k*(k - 1)**2*(5*k - 6)/5
Factor 5*g**4 + 665*g**3 + 21765*g**2 - 23785*g - 44890.
5*(g - 2)*(g + 1)*(g + 67)**2
Factor q**5/4 - 9*q**4/4 + 23*q**3/4 - 15*q**2/4.
q**2*(q - 5)*(q - 3)*(q - 1)/4
What is n in -3*n**2 - 18*n - 24 = 0?
-4, -2
Solve -d**3 - 475*d**2 - 57112*d - 167088 = 0.
-236, -3
Factor -4*f**2 - 244*f - 3192.
-4*(f + 19)*(f + 42)
Let 2*p**5/5 - 126*p**4/5 + 22*p**3 + 174*p**2 - 112*p/5 - 744/5 = 0. What is p?
-2, -1, 1, 3, 62
Determine y so that y**5/3 - 5*y**4/3 - 47*y**3/3 - 35*y**2/3 + 46*y/3 + 40/3 = 0.
-4, -1, 1, 10
Determine w so that -4*w**3 + 340*w**2 - 7392*w + 7056 = 0.
1, 42
Let 3*h**4 + 126*h**3 - 705*h**2 = 0. Calculate h.
-47, 0, 5
Let -2*n**5/7 - 200*n**4/7 + 824*n**3/7 - 832*n**2/7 = 0. Calculate n.
-104, 0, 2
Factor 714*t**2/5 - 702*t/5 - 12/5.
6*(t - 1)*(119*t + 2)/5
Solve 7*r**4 + 38*r**3 + 60*r**2 + 8*r - 32 = 0 for r.
-2, 4/7
Suppose -4*z**4 + 200*z**3 - 2544*z**2 + 6880*z + 25600 = 0. Calculate z.
-2, 10, 32
Factor -5*b**5 + 30*b**4 - 70*b**3 + 80*b**2 - 45*b + 10.
-5*(b - 2)*(b - 1)**4
Factor 3*s**2 - 2688*s + 602112.
3*(s - 448)**2
Determine f so that 4*f**2 + 32*f + 28 = 0.
-7, -1
Factor -2*j**2/7 - 1772*j/7 - 392498/7.
-2*(j + 443)**2/7
Let -2*k**3/15 + 4*k**2/15 + 2*k/3 - 4/5 = 0. Calculate k.
-2, 1, 3
Factor g**2/7 + 69*g/7 + 68/7.
(g + 1)*(g + 68)/7
Suppose -8*p**4 + 116*p**3 - 320*p**2 + 132*p = 0. Calculate p.
0, 1/2, 3, 11
Factor 2*c**4 + 428*c**3 + 21578*c**2 - 141240*c + 217800.
2*(c - 3)**2*(c + 110)**2
Solve 3*l**4/2 + 9*l**3/2 - 3*l**2 - 18*l - 12 = 0.
-2, -1, 2
Suppose d**2/4 + d/2 - 3/4 = 0. What is d?
-3, 1
Factor -4802*p**4/3 - 686*p**3 + 196*p**2 + 392*p/3 + 16.
-2*(7*p - 3)*(7*p + 2)**3/3
Determine d, given that -4*d**4 + 56*d**3 - 140*d**2 + 88*d = 0.
0, 1, 2, 11
Solve -2*r**5/3 - 6*r**4 - 44*r**3/3 + 64*r/3 = 0 for r.
-4, -2, 0, 1
Find y such that -y**3/3 - 53*y**2/3 - 551*y/3 + 4205/3 = 0.
-29, 5
Solve 5*z**5/3 + 176*z**4/3 - 145*z**3/3 - 12*z**2 = 0 for z.
-36, -1/5, 0, 1
Determine s so that 253265*s**5 + 1225255*s**4 + 809930*s**3 - 153220*s**2 + 8680*s - 160 = 0.
-4, -1, 2/37
Find h, given that 3*h**3/5 + 66*h**2/5 + 57*h/5 - 126/5 = 0.
-21, -2, 1
What is u in -6*u**4/5 + 18*u**3/5 + 18*u**2/5 - 42*u/5 - 36/5 = 0?
-1, 2, 3
Factor 7*i**3/6 + 23*i**2/6 + i.
i*(i + 3)*(7*i + 2)/6
Suppose h**4/8 - 25*h**3/8 + 57*h**2/4 + 133*h/2 + 49 = 0. Calculate h.
-2, -1, 14
Factor -2*y**3/9 - 220*y**2/9.
-2*y**2*(y + 110)/9
What is z in z**5/5 - 14*z**4/5 + 63*z**3/5 - 86*z**2/5 - 44*z/5 + 24 = 0?
-1, 2, 5, 6
Let 4*b**2/3 + 20*b + 104/3 = 0. What is b?
-13, -2
Factor 4*v**2/5 - 268*v/5.
4*v*(v - 67)/5
Suppose -4*f**2/5 + 344*f/5 - 7396/5 = 0. Calculate f.
43
Let -3*c**5/8 - 21*c**4/2 + 177*c**3/8 - 45*c**2/4 = 0. Calculate c.
-30, 0, 1
Factor -2*d**2 + 6*d - 4.
-2*(d - 2)*(d - 1)
Factor -k**3/2 + 15*k**2 - 54*k + 52.
-(k - 26)*(k - 2)**2/2
Let 5*