 such that d**3 - 6*d**2 = 0.
0, 6
Suppose -3*q**3 - 78*q**2 + 1257*q + 1332 = 0. Calculate q.
-37, -1, 12
Factor -3*f**4/5 - 48*f**3/5 - 36*f**2.
-3*f**2*(f + 6)*(f + 10)/5
Let i**5/6 + 3*i**4/2 - 13*i**3/6 - 29*i**2/6 + 2*i + 10/3 = 0. Calculate i.
-10, -1, 1, 2
Factor 3*l**3/4 - 237*l**2/4 + 1428*l - 9537.
3*(l - 34)**2*(l - 11)/4
Factor 2*g**4 - 3*g**3 + g**2.
g**2*(g - 1)*(2*g - 1)
Factor 3*s**3 + 603*s**2 + 40401*s + 902289.
3*(s + 67)**3
Suppose -5*w**3 + 420*w**2 - 415*w = 0. What is w?
0, 1, 83
Let n**5/8 + 7*n**4/4 + 53*n**3/8 + 5*n**2 = 0. What is n?
-8, -5, -1, 0
Find i, given that 5*i**4 + 55*i**3 + 185*i**2 + 225*i + 90 = 0.
-6, -3, -1
Factor -5*l**4 - 14510*l**3 - 10512480*l**2 + 21083040*l.
-5*l*(l - 2)*(l + 1452)**2
Determine a, given that 2*a**4/11 + 26*a**3/11 + 10*a**2/11 - 458*a/11 + 420/11 = 0.
-10, -7, 1, 3
Factor l**4 + 35*l**3 + 129*l**2 + 157*l + 62.
(l + 1)**2*(l + 2)*(l + 31)
Factor -4*x**2 - 912*x - 9548.
-4*(x + 11)*(x + 217)
Find q such that 2*q**5/9 + 10*q**4/9 - 40*q**2/9 - 32*q/9 = 0.
-4, -2, -1, 0, 2
Determine w, given that 30*w**3 + 185*w**2 - 425*w + 120 = 0.
-8, 1/3, 3/2
Factor -3*m**2 + 6*m - 3.
-3*(m - 1)**2
Factor -2*v**2/9 + 134*v/9.
-2*v*(v - 67)/9
Determine u so that 4900*u**3 + 5460*u**2 + 576*u + 16 = 0.
-1, -2/35
Find x, given that 2*x**5 - 42*x**4 - 44*x**3 = 0.
-1, 0, 22
Factor -3*i**4/7 + 7356*i**3/7 - 6763842*i**2/7 + 2764156764*i/7 - 423607024083/7.
-3*(i - 613)**4/7
Determine w so that -2*w**2 - 1904*w - 453152 = 0.
-476
Factor -2*b**4 + 424*b**3.
-2*b**3*(b - 212)
Factor -w**4/3 - 16*w**3/3 + 66*w**2 - 216*w + 225.
-(w - 3)**3*(w + 25)/3
Let 4*d**2 - 84*d - 648 = 0. Calculate d.
-6, 27
Find w, given that 4*w**2 + 288*w = 0.
-72, 0
What is g in 4*g**2 - 3236*g = 0?
0, 809
Factor -z**3/5 + 11*z**2/5 - 4*z - 32/5.
-(z - 8)*(z - 4)*(z + 1)/5
Factor -3*v**3 + 6*v**2 + 123*v - 126.
-3*(v - 7)*(v - 1)*(v + 6)
Factor -h**4/6 + 9*h**3 - 725*h**2/6 - 36*h + 486.
-(h - 27)**2*(h - 2)*(h + 2)/6
Find n such that 4*n**4 + 28*n**3 - 88*n**2 - 112*n + 288 = 0.
-9, -2, 2
Let 5*l**3 - 10*l**2 = 0. Calculate l.
0, 2
Find u, given that -u**2 - 11*u - 30 = 0.
-6, -5
Factor -a**5 + 69*a**4 - 1434*a**3 + 5050*a**2 + 76875*a + 140625.
-(a - 25)**3*(a + 3)**2
Determine h so that h**5/9 - 8*h**4/3 + 137*h**3/9 + 70*h**2/9 - 124*h/3 - 280/9 = 0.
-1, 2, 10, 14
Factor 4107*d**4/5 - 8658*d**3/5 + 5007*d**2/5 - 468*d/5 + 12/5.
3*(d - 1)**2*(37*d - 2)**2/5
Factor -z**2 - 28*z.
-z*(z + 28)
Determine n so that -2*n**2 + 326*n - 1884 = 0.
6, 157
Suppose -a**4/2 - 13*a**3/2 - 4*a**2 + 26*a + 24 = 0. What is a?
-12, -2, -1, 2
Suppose w**5/2 + 5*w**4 + 8*w**3 - w**2 - 17*w/2 - 4 = 0. What is w?
-8, -1, 1
Factor -3*r**2/2 - 25*r/2 - 4.
-(r + 8)*(3*r + 1)/2
Factor -4*x**2 - 808*x - 40804.
-4*(x + 101)**2
Suppose -h**2/4 - h/4 = 0. Calculate h.
-1, 0
Solve 4*r**5/7 + 65*r**4/7 + 60*r**3/7 - 35*r**2 - 304*r/7 - 60/7 = 0.
-15, -2, -1, -1/4, 2
Solve -3*c**4/8 + 11997*c**3/4 - 47976003*c**2/8 = 0 for c.
0, 3999
Determine k so that -3*k**2 - 8160*k - 5548800 = 0.
-1360
Factor -5*c**4 - 10480*c**3 - 8237280*c**2 - 2877556480*c - 376959898880.
-5*(c + 524)**4
Factor 5*s**5/3 - 5*s**4/3 - 5*s**3/3 + 5*s**2/3.
5*s**2*(s - 1)**2*(s + 1)/3
Factor -11*l**3/6 - 101*l**2/6 - 3*l.
-l*(l + 9)*(11*l + 2)/6
Factor 5*d**2 + 1590*d + 1585.
5*(d + 1)*(d + 317)
Find y, given that y**4/4 + y**3 + y**2 = 0.
-2, 0
Solve 4*u**3 + 172*u**2 - 544*u + 368 = 0.
-46, 1, 2
Let -7*w**5/5 - 8*w**4 - 44*w**3/5 + 16*w**2/5 = 0. What is w?
-4, -2, 0, 2/7
Solve 4*n**4 - 8*n**3 - 4*n**2 + 8*n = 0 for n.
-1, 0, 1, 2
Factor -v**2/2 + 469*v + 939/2.
-(v - 939)*(v + 1)/2
Find g such that 4*g**3/3 - 124*g**2 - 252*g - 380/3 = 0.
-1, 95
Factor -5*k**2 - 975*k + 2970.
-5*(k - 3)*(k + 198)
Determine r, given that 950*r**5 - 390*r**4 - 568*r**3 - 24*r**2 + 32*r = 0.
-2/5, 0, 4/19, 1
Find x such that x**4/2 - 19*x**3/2 + 13*x**2/2 + 87*x/2 + 27 = 0.
-1, 3, 18
Factor -4*m**3/3 + 104*m**2/3 - 60*m - 96.
-4*(m - 24)*(m - 3)*(m + 1)/3
Factor -i**4 - 6*i**3 - 8*i**2.
-i**2*(i + 2)*(i + 4)
Determine j so that j**5/7 + j**4/7 - 6*j**3/7 - 4*j**2/7 + 8*j/7 = 0.
-2, 0, 1, 2
Solve 5*d**2 - 12020*d - 12025 = 0 for d.
-1, 2405
Factor r**2 - 7100*r + 12602500.
(r - 3550)**2
Determine n, given that -3*n**4 + 1461*n**3 - 178599*n**2 + 174231*n + 354294 = 0.
-1, 2, 243
Factor -2*r**2/15 - 16*r/5.
-2*r*(r + 24)/15
Solve -2*i**3/17 - 26*i**2/17 + 2*i/17 + 26/17 = 0 for i.
-13, -1, 1
Suppose 10*c**2 + 95*c - 630 = 0. What is c?
-14, 9/2
Factor -5*n**5 - 15*n**4 - 15*n**3 - 5*n**2.
-5*n**2*(n + 1)**3
Let -4*a**4 + 2*a**3 + 4*a**2 - 2*a = 0. Calculate a.
-1, 0, 1/2, 1
Let -3*x**2 - 912*x - 69312 = 0. What is x?
-152
Determine j, given that -j**5/2 + 6*j**4 + 24*j**3 - 152*j**2 + 168*j = 0.
-6, 0, 2, 14
Factor 2*u**4/9 + 256*u**3/9 + 10352*u**2/9 + 15360*u + 64800.
2*(u + 10)**2*(u + 54)**2/9
Factor s**4/8 + s**3/8 - s**2/4.
s**2*(s - 1)*(s + 2)/8
Solve -2*j**4 + 14*j**3 - 36*j**2 + 40*j - 16 = 0 for j.
1, 2
Factor o**3/2 + 4*o**2 + 17*o/2 + 5.
(o + 1)*(o + 2)*(o + 5)/2
Determine x, given that -2*x**5 + 36*x**4/5 + 126*x**3/5 + 104*x**2/5 + 24*x/5 = 0.
-1, -2/5, 0, 6
Determine s, given that -44*s**3 - 524*s**2 + 620*s - 52 = 0.
-13, 1/11, 1
Factor -2*t**4/13 + 28*t**3/13 - 64*t**2/13 - 256*t/13.
-2*t*(t - 8)**2*(t + 2)/13
Let 2*o**5/3 - 22*o**4/3 + 22*o**3 - 26*o**2/3 - 68*o/3 + 16 = 0. What is o?
-1, 1, 4, 6
Factor -2*d**4 - 64*d**3 + 66*d**2.
-2*d**2*(d - 1)*(d + 33)
Let -3*y**2/2 + 1645*y/2 + 549 = 0. What is y?
-2/3, 549
Determine d, given that 3*d**3 - 65*d**2/3 - 58*d/3 + 16/3 = 0.
-1, 2/9, 8
Factor -j**3/6 - 149*j**2/6 - 6035*j/6 - 35287/6.
-(j + 7)*(j + 71)**2/6
What is q in -2*q**2/3 + 11828*q/3 - 17487698/3 = 0?
2957
Let 4*s**3 - 16*s**2/3 - 28*s/3 = 0. What is s?
-1, 0, 7/3
What is t in 5*t**5 + 5*t**4 - 20*t**3 - 20*t**2 = 0?
-2, -1, 0, 2
Let -3*y**5 - 60*y**4 - 207*y**3 - 246*y**2 - 96*y = 0. What is y?
-16, -2, -1, 0
What is k in -3*k**3 - 210*k**2 + 432*k = 0?
-72, 0, 2
Factor n**3/5 - 22*n**2/5 - 372*n/5 - 1224/5.
(n - 34)*(n + 6)**2/5
Factor -4*v**3 - 124*v**2 + 4*v + 124.
-4*(v - 1)*(v + 1)*(v + 31)
Factor 2*y**5/7 - 264*y**4/7 - 3348*y**3/7 - 15336*y**2/7 - 30942*y/7 - 23328/7.
2*(y - 144)*(y + 3)**4/7
What is j in 2*j**5 + 6*j**4 - 8*j**3 = 0?
-4, 0, 1
Factor -5*n**2 + 5885*n - 5880.
-5*(n - 1176)*(n - 1)
Factor 9*q**4/2 + 93*q**3 - 130*q**2 + 44*q.
q*(q + 22)*(3*q - 2)**2/2
Factor -9*a**4/4 - 51*a**3/2 - 40*a**2 + 200*a.
-a*(a - 2)*(3*a + 20)**2/4
Solve -4*x**4 - 4*x**3 + 12*x**2 + 4*x - 8 = 0 for x.
-2, -1, 1
Let 2*o**2/3 - 173*o/3 + 86/3 = 0. What is o?
1/2, 86
Determine u so that -u**2/2 - u + 15/2 = 0.
-5, 3
Determine j, given that -j**3 + 62*j**2 + j - 62 = 0.
-1, 1, 62
Let -2*x**2 - 220*x - 6050 = 0. Calculate x.
-55
What is x in x**4/8 + x**3/4 - x**2/8 - x/4 = 0?
-2, -1, 0, 1
Factor 3*b**4 + 198*b**3 + 1539*b**2.
3*b**2*(b + 9)*(b + 57)
Find z such that -3*z**3/7 - 24*z**2/7 + 12*z/7 + 96/7 = 0.
-8, -2, 2
What is r in 15*r**4 + 111*r**3 - 573*r**2 + 249*r + 198 = 0?
-11, -2/5, 1, 3
Suppose 5*w**2 - 3750*w + 703125 = 0. Calculate w.
375
Factor 5*t**2 - 230*t.
5*t*(t - 46)
Factor 5*j**3 + 40*j**2 - 2175*j - 24750.
5*(j - 22)*(j + 15)**2
Solve v**2 + 38*v + 37 = 0.
-37, -1
Let 25*i**5 + 4535*i**4 + 208810*i**3 + 285300*i**2 + 81000*i = 0. Calculate i.
-90, -1, -2/5, 0
Determine k so that 2*k**2/3 - 1196*k/3 + 178802/3 = 0.
299
Factor -3*g**3 + 33*g**2 + 279*g + 459.
-3*(g - 17)*(g + 3)**2
Factor -2*r**2/9 + 16*r/3 + 770/9.
-2*(r - 35)*(r + 11)/9
Factor 4*c**2 - 3416*c + 729316.
4*(c - 427)**2
Factor -4*n**3 + 676*n**2 - 673*n + 168.
-(n - 168)*(2*n - 1)**2
Factor 5*j**2 + 94130*j + 443022845.
5*(j + 9413)**2
Find d, given that 4*d**3/7 - 12*d/7 - 8/7 = 0.
-1, 2
Determine b, given that 4*b**2 - 576*b + 572 = 0.
1, 143
Find l, given that 5*l**5/6 + 205*l**4/6 + 2195*l**3/6 + 1795*l**2/6 - 1100*l/3 - 1000/3 = 0.
-20, -1, 1
Find r, given that 7*r**4/5 - 24*r**3 + 577*r**2/5 - 528*r/5 + 64/5 = 0.
1/7, 1, 8
Find t, given that -t**4/3 + 13*t**3/3 - 11*t**2 + 31*t/3 - 10/3 = 0.
1, 10
Factor n**3/5 + 61*n**2/5 + 1207*n/5 + 7803/5.
(n + 17)**2*(n + 27)/5
Factor -2*c**4 - 102*c**3 + 108*c**2 + 208*c.
-2*c*(c - 2)*(c + 1)*(c + 52)
Factor 125*a**3 - 400*a**2 + 415*a - 140.
5*(a - 1)