 5
Let q**3/6 - 44*q**2/3 + 1645*q/6 + 2209 = 0. What is q?
-6, 47
Factor -p**2/3 - 331*p/3 + 334.
-(p - 3)*(p + 334)/3
What is b in -4*b**2/9 + 6568*b/9 = 0?
0, 1642
Factor -2*m**3/5 + 1506*m**2/5 + 3018*m/5 + 302.
-2*(m - 755)*(m + 1)**2/5
Factor -6*l**3 - 417*l**2/5 - 1428*l/5 + 147/5.
-3*(l + 7)**2*(10*l - 1)/5
Factor -2*c**3/7 + 24*c**2/7 - 96*c/7 + 128/7.
-2*(c - 4)**3/7
Factor -14*z**2 + 283*z - 60.
-(z - 20)*(14*z - 3)
Suppose -5*s**5 + 160*s**4 - 1800*s**3 + 8000*s**2 - 10000*s = 0. What is s?
0, 2, 10
Find x, given that 5*x**5/6 - 10*x**4/3 + 25*x**3/6 - 5*x**2/3 = 0.
0, 1, 2
Solve 5*t**4 + 25*t**3 - 60*t**2 - 380*t - 400 = 0.
-5, -2, 4
Factor 5*p**3 - 30*p**2.
5*p**2*(p - 6)
Suppose -2*v**3/5 + 136*v**2/5 - 122*v/5 - 804/5 = 0. Calculate v.
-2, 3, 67
Let 3*v**4 + 60*v**3 - 3*v**2 - 60*v = 0. Calculate v.
-20, -1, 0, 1
Factor -5*m**2 - 455*m + 460.
-5*(m - 1)*(m + 92)
Factor 8*j**4/7 + 18*j**3/7 + 12*j**2/7 + 2*j/7.
2*j*(j + 1)**2*(4*j + 1)/7
What is y in 4*y**5 - 88*y**4 + 352*y**3 + 536*y**2 - 356*y - 448 = 0?
-1, 1, 7, 16
Suppose -4*b**3/3 - 924*b**2 + 1852*b - 2780/3 = 0. Calculate b.
-695, 1
What is b in -9*b**3 - 56*b**2 - 57*b - 10 = 0?
-5, -1, -2/9
Factor 3*x**2 + 69*x - 234.
3*(x - 3)*(x + 26)
Factor -12*x**2/5 - 51*x - 63/5.
-3*(x + 21)*(4*x + 1)/5
Factor -5*q**2 + 45.
-5*(q - 3)*(q + 3)
Suppose -5*n**3/3 + 5*n**2 + 75*n + 135 = 0. Calculate n.
-3, 9
What is b in -4*b**5 - 72*b**4 - 488*b**3 - 1584*b**2 - 2484*b - 1512 = 0?
-7, -3, -2
What is x in -x**3/5 - 2472*x**2/5 - 2036928*x/5 - 559476224/5 = 0?
-824
Solve 21*p**5 + 61*p**4 + 36*p**3 - 4*p**2 = 0.
-2, -1, 0, 2/21
Factor 2*k**3 + 12*k**2 + 10*k.
2*k*(k + 1)*(k + 5)
Determine o, given that o**2/2 - 66*o + 130 = 0.
2, 130
Determine z, given that 6*z**4/7 + 1702*z**3/7 - 2278*z**2/7 + 570*z/7 = 0.
-285, 0, 1/3, 1
Factor -3*x**3 - 84*x**2 + 27*x + 756.
-3*(x - 3)*(x + 3)*(x + 28)
Factor -h**4/2 + 8*h**3 - 15*h**2/2.
-h**2*(h - 15)*(h - 1)/2
Factor -115*m**3 + 220*m**2 - 95*m - 10.
-5*(m - 1)**2*(23*m + 2)
Determine p so that -p**5 - 14*p**4 - 60*p**3 - 104*p**2 - 64*p = 0.
-8, -2, 0
What is g in g**3/4 - 183*g**2/4 + 91*g/2 = 0?
0, 1, 182
Factor 5*k**4/4 - 7*k**3/4 - 3*k**2/4 + 7*k/4 - 1/2.
(k - 1)**2*(k + 1)*(5*k - 2)/4
Solve -2*c**3/7 - 88*c**2 = 0 for c.
-308, 0
Factor -5*d**2 - 838*d + 336.
-(d + 168)*(5*d - 2)
Factor -2*i**2/3 + 50*i/3.
-2*i*(i - 25)/3
Factor v**2/9 + 5*v/3 + 44/9.
(v + 4)*(v + 11)/9
Find c, given that c**4/5 - 4*c**3/5 + c**2/5 + 6*c/5 = 0.
-1, 0, 2, 3
Suppose -32*q**2/7 + 6800*q/7 - 361250/7 = 0. Calculate q.
425/4
Find j such that 4*j**5/7 + 52*j**4/7 - 136*j**3/7 - 208*j**2/7 + 480*j/7 = 0.
-15, -2, 0, 2
Suppose l**4/2 - 101*l**3/2 + 297*l**2/2 - 295*l/2 + 49 = 0. What is l?
1, 98
Solve -20*a**5 - 25*a**4 + 1275*a**3 + 1600*a**2 + 320*a = 0.
-8, -1, -1/4, 0, 8
Factor o**2/8 - o - 9/8.
(o - 9)*(o + 1)/8
Suppose -4*j**5/5 + 23*j**4/5 - 26*j**3/5 - 32*j**2/5 + 6*j + 9/5 = 0. Calculate j.
-1, -1/4, 1, 3
Factor -n**2/4 - 1381*n/2 - 1907161/4.
-(n + 1381)**2/4
Solve 4*u**5 - 48*u**4 - 112*u**3 = 0 for u.
-2, 0, 14
Factor -f**4 - 24*f**3 - 135*f**2 - 284*f - 204.
-(f + 2)**2*(f + 3)*(f + 17)
Let 2*o**3/7 + 268*o**2/7 = 0. What is o?
-134, 0
Let 5*c**3 - 5670*c**2 + 2143260*c - 270050760 = 0. What is c?
378
Determine u so that -5*u**5 + 165*u**4 + 410*u**3 - 2010*u**2 - 3285*u + 4725 = 0.
-3, 1, 3, 35
Solve 2*a**2 - 1590*a - 1592 = 0 for a.
-1, 796
Solve 3*n**2 - 168*n - 348 = 0.
-2, 58
Solve -2*t**2 + 56*t + 58 = 0.
-1, 29
Factor -2*a**3 + a**2/3.
-a**2*(6*a - 1)/3
Suppose -b**4/3 + b**3 - 4*b/3 = 0. What is b?
-1, 0, 2
Determine f so that -f**2/2 - 2*f - 3/2 = 0.
-3, -1
Solve 2*k**3/7 + 12*k**2/7 + 10*k/7 = 0.
-5, -1, 0
Factor -12*z**3 - 105*z**2 - 69*z + 24.
-3*(z + 1)*(z + 8)*(4*z - 1)
Determine p, given that 4*p**5/9 + 2*p**4 + 10*p**3/9 - 10*p**2/3 - 14*p/9 + 4/3 = 0.
-3, -2, -1, 1/2, 1
Solve -117128*w**5 + 26620*w**4 + 19360*w**3 - 8800*w**2 + 1280*w - 64 = 0 for w.
-1/2, 2/11
Factor -2*t**3/13 + 2*t**2/13 + 32*t/13 - 32/13.
-2*(t - 4)*(t - 1)*(t + 4)/13
Factor -6*z**4 + 11601*z**3 - 5616324*z**2 + 8398404*z.
-3*z*(z - 966)**2*(2*z - 3)
What is x in -3*x**2 + 24*x - 48 = 0?
4
Find b such that 5*b**2 - 115*b + 110 = 0.
1, 22
Factor -2*x**2/7 - 22*x/7 + 24/7.
-2*(x - 1)*(x + 12)/7
Suppose -b**3/3 - 70*b**2/3 + 237*b = 0. Calculate b.
-79, 0, 9
Factor 3*t**4 + 11739*t**3 + 15315480*t**2 + 6667331136*t + 6652027392.
3*(t + 1)*(t + 1304)**3
What is o in 3*o**3 - 54*o**2 + 288*o - 384 = 0?
2, 8
Factor -2*i**3/3 + 8*i**2/3 + 206*i/3 + 364/3.
-2*(i - 13)*(i + 2)*(i + 7)/3
Solve 5*z**4 - 3250*z**3 - 9795*z**2 - 20*z + 13060 = 0 for z.
-2, 1, 653
Find v, given that 4*v**5 - 56*v**4 + 40*v**3 + 160*v**2 - 44*v - 104 = 0.
-1, 1, 2, 13
Solve -2*h**4/5 - 2*h**3/5 + 118*h**2/5 - 222*h/5 + 108/5 = 0.
-9, 1, 6
Factor 3*i**2/2 + 2913*i + 2828523/2.
3*(i + 971)**2/2
Factor -5*y**3 + 3495*y**2 + 7010*y.
-5*y*(y - 701)*(y + 2)
Determine p so that p**4/5 - 37*p**3/5 + 354*p**2/5 - 108*p/5 - 1944/5 = 0.
-2, 3, 18
Determine c so that -4*c**3/9 - 64*c**2/9 - 52*c/9 + 40/3 = 0.
-15, -2, 1
Determine b so that 2*b**4/3 - 38*b**3/3 + 64*b**2/3 + 488*b/3 + 128 = 0.
-2, -1, 6, 16
Let -3*o**4 - 15*o**3 - 9*o**2 + 27*o = 0. What is o?
-3, 0, 1
Suppose 10125*z**4/2 - 2025*z**3/2 - 2970*z**2 - 984*z - 96 = 0. Calculate z.
-4/15, 1
Let 6*l**3/5 + 64*l**2 + 418*l/5 + 104/5 = 0. Calculate l.
-52, -1, -1/3
Let -2*o**2/3 - 23576*o/3 - 69478472/3 = 0. What is o?
-5894
Factor 2*b**5/5 + 18*b**4/5 - 104*b**3/5.
2*b**3*(b - 4)*(b + 13)/5
Let -5*x**3 + 90*x**2 + 195*x + 100 = 0. What is x?
-1, 20
Suppose x**2/6 + 4*x/3 + 7/6 = 0. Calculate x.
-7, -1
Factor -2*s**5 + 64*s**4 - 722*s**3 + 3260*s**2 - 4600*s + 2000.
-2*(s - 10)**3*(s - 1)**2
Factor 3*b**3 + 54*b**2 + 180*b - 600.
3*(b - 2)*(b + 10)**2
What is b in -3*b**2 + 54*b - 51 = 0?
1, 17
Factor 2*j**3/3 + 50*j**2/3 + 94*j/3 + 46/3.
2*(j + 1)**2*(j + 23)/3
Solve l**2 - 26*l + 48 = 0.
2, 24
Let -2*k**2/3 + 940*k/3 - 110450/3 = 0. Calculate k.
235
Factor -199*a**4 + 193*a**3 + 6*a**2.
-a**2*(a - 1)*(199*a + 6)
Factor 5*c**2 - 115*c - 540.
5*(c - 27)*(c + 4)
Suppose 3*c**2/7 + 471*c/7 - 474/7 = 0. What is c?
-158, 1
Factor -2*d**2/11 - 1588*d/11 + 1590/11.
-2*(d - 1)*(d + 795)/11
Factor -4*z**2 + 104*z + 480.
-4*(z - 30)*(z + 4)
Find b, given that -3*b**4 - 48*b**3 + 315*b**2 = 0.
-21, 0, 5
Determine o, given that -5*o**4 - 10*o**3 + 45*o**2 + 10*o - 40 = 0.
-4, -1, 1, 2
Find r such that r**2 + 42*r + 441 = 0.
-21
Determine f so that 2*f**5 + 40*f**4 + 34*f**3 - 76*f**2 = 0.
-19, -2, 0, 1
Factor h**3/2 + 14*h**2 - 136*h + 288.
(h - 4)**2*(h + 36)/2
Determine n, given that -3*n**2 + 6*n = 0.
0, 2
Solve -33*m**5/4 + 291*m**4/4 - 441*m**3/4 - 915*m**2/4 - 75*m/2 = 0.
-1, -2/11, 0, 5
Suppose 3*u**3 - 1143*u**2 + 112761*u - 734349 = 0. Calculate u.
7, 187
Solve -4*q**5/5 + 28348*q**4/5 - 13389704*q**3 + 52643802488*q**2/5 + 105488563948*q/5 + 52777784588/5 = 0 for q.
-1, 2363
Determine z so that -z**4/2 + 7*z**3 - 23*z**2/2 - 7*z + 12 = 0.
-1, 1, 2, 12
Factor 2*o**2/7 - 8*o.
2*o*(o - 28)/7
Factor 2*k**2 + 468*k + 928.
2*(k + 2)*(k + 232)
Factor 4*d**3 - 16*d**2 - 28*d + 40.
4*(d - 5)*(d - 1)*(d + 2)
Factor -5*l**4 - 2015*l**3 - 202000*l**2 + 204020*l.
-5*l*(l - 1)*(l + 202)**2
Factor -2*f**3 - 206*f**2 + 212*f + 416.
-2*(f - 2)*(f + 1)*(f + 104)
Solve 4*b**3 + 856*b**2 + 45796*b = 0.
-107, 0
Factor 2*y**2 - 606*y + 604.
2*(y - 302)*(y - 1)
Let -v**2 + 12*v - 20 = 0. What is v?
2, 10
Factor 36*n**4 - 6924*n**3 - 4628*n**2 - 772*n.
4*n*(n - 193)*(3*n + 1)**2
Factor 5*q**4 + 85*q**3.
5*q**3*(q + 17)
Find n such that 3*n**2/7 + 30*n/7 - 33/7 = 0.
-11, 1
Factor -2*c**4 + 78*c**3 - 868*c**2 + 2088*c - 1296.
-2*(c - 18)**2*(c - 2)*(c - 1)
Factor f**2/4 - 21*f/4 - 11/2.
(f - 22)*(f + 1)/4
Factor 1445*c**4 - 1785*c**3 + 360*c**2 - 20*c.
5*c*(c - 1)*(17*c - 2)**2
Let -n**5/2 - 5*n**4/2 + 31*n**3/2 - 43*n**2/2 + 9*n = 0. What is n?
-9, 0, 1, 2
Determine u, given that -u**3 + 23*u**2 + 26*u - 48 = 0.
-2, 1, 24
Solve 15*d**4 - 78*d**3 + 75*d**2 - 12*d = 0.
0, 1/5, 1, 4
Factor 44402*d**2 + 3576*d + 72.
2*(149*d + 6)**2
Factor -3*o**4 + 192*o**3 + 198*o**2 - 192*o - 195.
-3*(o - 65)*(o - 1)*(o + 1)**2
Factor -3*a**4 - 60*a**3 - 351*a**2 - 810*a - 648.
-3*(a