
-3*(x - 32)*(x + 1)/2
Find d, given that 5*d**2 + 475*d + 10830 = 0.
-57, -38
Find i, given that 14*i**5 + 136*i**4 - 446*i**3 - 640*i**2 + 1224*i - 288 = 0.
-12, -2, 2/7, 1, 3
Factor -2*d**3/9 - 2*d**2/3 + 122*d/9 + 14.
-2*(d - 7)*(d + 1)*(d + 9)/9
Solve -q**2/2 - 465*q - 929/2 = 0.
-929, -1
Factor -5*r**3 - 75*r**2 + 270*r.
-5*r*(r - 3)*(r + 18)
Suppose 5*f**4/7 + 39*f**3/7 - 8*f**2 - 564*f/7 + 576/7 = 0. Calculate f.
-6, 1, 16/5
Determine t so that t**5/3 - 4*t**3/3 = 0.
-2, 0, 2
Solve 5*i**4 + 20*i**3 + 5*i**2 - 30*i = 0 for i.
-3, -2, 0, 1
Factor -2*t**2 + 8*t + 64.
-2*(t - 8)*(t + 4)
Find m such that -5*m**2 - 60*m = 0.
-12, 0
Suppose -114*g**4 + 2082*g**3/7 - 684*g**2/7 - 552*g/7 - 48/7 = 0. What is g?
-2/7, -2/19, 1, 2
Suppose v**4/3 + 2*v**3 - v**2/3 - 2*v = 0. What is v?
-6, -1, 0, 1
What is m in 3*m**3 + 48*m**2 - 228*m + 240 = 0?
-20, 2
Let 2*j**2/15 - 10/3 = 0. Calculate j.
-5, 5
Factor 5*h**3 + 155*h**2 + 1595*h + 5445.
5*(h + 9)*(h + 11)**2
Suppose -3*p**3 + 702*p**2 = 0. Calculate p.
0, 234
Factor -z**3 - 6*z**2.
-z**2*(z + 6)
Let 29*a**2 - 56*a - 4 = 0. Calculate a.
-2/29, 2
Solve -w**5/7 + 477*w**4/7 + 961*w**3/7 - 1433*w**2/7 - 1920*w/7 + 1916/7 = 0 for w.
-2, 1, 479
What is z in -2*z**3 - 4*z**2 + 14*z - 8 = 0?
-4, 1
Factor 2*v**3/11 - 918*v**2/11 + 104880*v/11 + 105800/11.
2*(v - 230)**2*(v + 1)/11
Determine u so that -9*u**3/11 + 70*u**2/11 + 16*u/11 = 0.
-2/9, 0, 8
Determine i, given that -i**3/8 + 773*i**2/8 - 385*i + 769/2 = 0.
2, 769
Find l such that l**5/3 - 39*l**4 - 481*l**3/3 - 367*l**2/3 + 160*l + 484/3 = 0.
-2, -1, 1, 121
Factor -5*m**5 + 25*m**4 - 45*m**3 + 35*m**2 - 10*m.
-5*m*(m - 2)*(m - 1)**3
Solve -2*j**4/5 - 56*j**3/5 - 104*j**2/5 = 0.
-26, -2, 0
Factor j**3/2 + 2*j**2 + 2*j.
j*(j + 2)**2/2
Determine a so that 33*a**2/4 + 67*a/4 + 1/2 = 0.
-2, -1/33
Factor k**4/5 + 82*k**3/5 + 1681*k**2/5.
k**2*(k + 41)**2/5
Factor 2*p**3/3 - 22*p**2/3 + 62*p/3 - 14.
2*(p - 7)*(p - 3)*(p - 1)/3
Suppose -3*a**5/2 + 12*a**4 - 3*a**3 - 48*a**2 - 63*a/2 = 0. Calculate a.
-1, 0, 3, 7
Find j such that 2*j**3 - 230*j**2 + 5734*j + 52094 = 0.
-7, 61
Factor -2*o**2/5 - 92*o/5 + 192/5.
-2*(o - 2)*(o + 48)/5
Factor 2*m**3/7 - 32*m**2/7 + 86*m/7 + 120/7.
2*(m - 12)*(m - 5)*(m + 1)/7
Solve 4*u**5 + 33*u**4 - 8*u**3 - 132*u**2 - 32*u = 0 for u.
-8, -2, -1/4, 0, 2
Let a**5/4 - 13*a**4/4 - 61*a**3/2 - 85*a**2 - 98*a - 40 = 0. What is a?
-2, -1, 20
Let -4*h**3/5 - 724*h**2/5 - 34496*h/5 - 30976 = 0. Calculate h.
-88, -5
Let 6*q**5 - 20*q**4 - 58*q**3 + 176*q**2 - 8*q - 96 = 0. Calculate q.
-3, -2/3, 1, 2, 4
Factor 9*k**4 - 87*k**3 + 54*k**2.
3*k**2*(k - 9)*(3*k - 2)
Factor -2*g**4 - 90*g**3 + 2*g**2 + 90*g.
-2*g*(g - 1)*(g + 1)*(g + 45)
Determine l so that -l**2/2 + 389*l/2 - 387 = 0.
2, 387
Factor -3*s**2/8 - 183*s/4 - 11163/8.
-3*(s + 61)**2/8
Suppose -13*o**4/3 - 656*o**3/3 - 287*o**2/3 + 656*o/3 + 100 = 0. What is o?
-50, -1, -6/13, 1
Factor -4*q**2 - 244*q - 472.
-4*(q + 2)*(q + 59)
What is p in -4*p**4 + 194*p**3 + 102*p**2 - 194*p - 98 = 0?
-1, -1/2, 1, 49
Factor -2*y**3/7 - 62*y**2/7 - 524*y/7 - 816/7.
-2*(y + 2)*(y + 12)*(y + 17)/7
Factor -4*d**2/5 + 36*d/5 + 88/5.
-4*(d - 11)*(d + 2)/5
Factor 3*o**5/5 + 156*o**4/5 - 159*o**3/5.
3*o**3*(o - 1)*(o + 53)/5
Let -2*i**4/9 - 274*i**3/9 - 1380*i**2 - 181976*i/9 + 194672/9 = 0. What is i?
-46, 1
Factor -2*l**3 + 34*l**2 - 62*l + 30.
-2*(l - 15)*(l - 1)**2
Factor 2*g**3/5 + 2*g**2 + 4*g/5 - 16/5.
2*(g - 1)*(g + 2)*(g + 4)/5
Factor -36*b**3 - 2296*b**2 - 8128*b + 1920.
-4*(b + 4)*(b + 60)*(9*b - 2)
Factor -j**3/8 - 85*j**2/4 - 8137*j/8 - 18723/2.
-(j + 12)*(j + 79)**2/8
Factor -3*b**3 - 57*b**2 + 426*b - 600.
-3*(b - 4)*(b - 2)*(b + 25)
Factor -2*k**5 + 4*k**3 - 2*k.
-2*k*(k - 1)**2*(k + 1)**2
Find v, given that 28*v**5/9 - 2*v**4/3 - 1208*v**3/9 + 478*v**2/3 - 80*v/9 - 56/3 = 0.
-7, -2/7, 1/2, 1, 6
Factor x**2/6 - 17*x/2 + 49/3.
(x - 49)*(x - 2)/6
Factor -3*n**3 - 48*n**2 + 900*n - 3024.
-3*(n - 6)**2*(n + 28)
Solve y**2/3 + 31*y/3 + 10 = 0.
-30, -1
Determine q so that 21*q**5/2 + 253*q**4/2 + 208*q**3 - 84*q**2 - 136*q + 40 = 0.
-10, -2, -1, 2/7, 2/3
Factor 5*p**2 + 325*p + 2970.
5*(p + 11)*(p + 54)
Find m, given that 27*m**5 + 93*m**4 - 153*m**3 - 813*m**2 - 810*m - 216 = 0.
-3, -2, -1, -4/9, 3
Factor -t**4 + 188*t**3 + 379*t**2 + 190*t.
-t*(t - 190)*(t + 1)**2
Factor 2*z**2/7 - 4*z/7 - 16/7.
2*(z - 4)*(z + 2)/7
Factor j**5/8 + 27*j**4/4 + 1079*j**3/8 + 4627*j**2/4 + 6321*j/2 - 4459.
(j - 1)*(j + 13)*(j + 14)**3/8
Solve 4*n**5/5 - 18*n**4/5 + 28*n**3/5 - 18*n**2/5 + 4*n/5 = 0 for n.
0, 1/2, 1, 2
Factor -a**2 + 176*a - 519.
-(a - 173)*(a - 3)
Factor -16*o**3 - 1076*o**2 - 1324*o - 264.
-4*(o + 1)*(o + 66)*(4*o + 1)
Factor -2*d**2/17 - 1830*d/17.
-2*d*(d + 915)/17
Suppose -4*w**2 + 500*w - 984 = 0. What is w?
2, 123
Factor -2*t**5 + 22*t**4 + 24*t**3.
-2*t**3*(t - 12)*(t + 1)
Factor 4*l**4 - 28*l**2 + 24*l.
4*l*(l - 2)*(l - 1)*(l + 3)
Factor 5*h**4 + 150*h**3 + 645*h**2 - 1760*h + 960.
5*(h - 1)**2*(h + 8)*(h + 24)
What is p in 3*p**5 - 6*p**4 - 9*p**3 = 0?
-1, 0, 3
Suppose 5*r**4 + 60*r**3 + 100*r**2 = 0. Calculate r.
-10, -2, 0
Find z such that 5*z**2 - 180*z + 495 = 0.
3, 33
Solve 4*j**3 + 64*j**2 + 52*j - 120 = 0 for j.
-15, -2, 1
Find r, given that -r**4/2 - 29*r**3/2 - 107*r**2/2 + 305*r/2 - 84 = 0.
-24, -7, 1
Factor q**2 - 20*q + 84.
(q - 14)*(q - 6)
Factor 76*q**2 + 104*q - 96.
4*(q + 2)*(19*q - 12)
Let -3*d**4 + 57*d**3 - 147*d**2 - 585*d + 1350 = 0. What is d?
-3, 2, 5, 15
Factor 4*l**2 - 1968*l + 242064.
4*(l - 246)**2
Determine i, given that 2*i**4/9 - 26*i**3/3 - 166*i**2/9 + 26*i/3 + 164/9 = 0.
-2, -1, 1, 41
Factor n**2/5 + 4*n + 19/5.
(n + 1)*(n + 19)/5
Factor y**2/9 + 1022*y/9 + 261121/9.
(y + 511)**2/9
Factor 10125*l**4 + 23850*l**3 - 7555*l**2 - 25440*l + 11520.
5*(5*l - 3)**2*(9*l + 16)**2
Let 5*i**2/3 + 535*i/3 - 180 = 0. Calculate i.
-108, 1
Factor -4*i**4 - 2440*i**3 - 496944*i**2 - 33956216*i - 33461708.
-4*(i + 1)*(i + 203)**3
Factor 21*u**3 + 78*u**2 + 39*u - 18.
3*(u + 1)*(u + 3)*(7*u - 2)
What is d in -5*d**3 - 165*d**2 + 1130*d - 1560 = 0?
-39, 2, 4
Factor 2*h**2 - 158*h.
2*h*(h - 79)
Suppose -3*i**3 + 369*i**2 - 15129*i + 206763 = 0. What is i?
41
Suppose 4*w**4 - 5884*w**3 + 5880*w**2 = 0. What is w?
0, 1, 1470
Solve -13*p**4/3 + 73*p**3 + 34*p**2/3 = 0 for p.
-2/13, 0, 17
Suppose c**3 - 20*c**2 + 128*c - 256 = 0. Calculate c.
4, 8
Determine s so that 20*s**3 - 648*s**2 + 2020*s - 1392 = 0.
1, 12/5, 29
Factor 3*t**2 + 249*t - 510.
3*(t - 2)*(t + 85)
Find d such that 2*d**3/9 - 674*d**2/9 + 56446*d/9 + 57122/9 = 0.
-1, 169
Determine n, given that -2*n**3/13 - 20*n**2/13 - 16*n/13 + 128/13 = 0.
-8, -4, 2
What is s in -2*s**3/5 + 67*s**2/5 - 468*s/5 - 324 = 0?
-5/2, 18
What is x in 2*x**3 + 38*x**2 - 40*x = 0?
-20, 0, 1
Factor -139*m**2/8 - 35*m/2 - 1/8.
-(m + 1)*(139*m + 1)/8
Find p, given that -20*p**3 + 125*p**2 + 265*p + 120 = 0.
-1, -3/4, 8
Let 3*d**4/5 - 249*d**3/5 + 6888*d**2/5 - 63504*d/5 = 0. Calculate d.
0, 27, 28
What is w in -2*w**3/3 + 34*w**2/3 - 164*w/3 + 80 = 0?
3, 4, 10
Suppose 10*v**5/9 - 16*v**4/9 - 4*v**3/9 + 16*v**2/9 - 2*v/3 = 0. What is v?
-1, 0, 3/5, 1
Factor 5*n**3 - 770*n**2 + 1525*n - 760.
5*(n - 152)*(n - 1)**2
Factor -3*o**4 + 51*o**3 - 51*o**2 - 1815*o + 5850.
-3*(o - 13)*(o - 5)**2*(o + 6)
Solve -3*i**3/7 + 6*i**2/7 + 3*i + 12/7 = 0.
-1, 4
Factor 2*i**2/5 + 16*i.
2*i*(i + 40)/5
Solve 10*p**5/3 - 16*p**4 - 40*p**3/3 + 124*p**2/3 + 42*p + 20/3 = 0.
-1, -1/5, 2, 5
Determine t, given that -90*t**3 + 159*t**2 + 45*t - 6 = 0.
-1/3, 1/10, 2
Find r, given that r**2 + 90*r - 91 = 0.
-91, 1
Let -n**5 + 15*n**4 - 83*n**3 + 209*n**2 - 240*n + 100 = 0. What is n?
1, 2, 5
Solve 5*y**3 + 75*y**2 - 590*y + 840 = 0.
-21, 2, 4
Factor -o**4/8 - 17*o**3/4 - 329*o**2/8 - 245*o/2.
-o*(o + 7)**2*(o + 20)/8
Find o such that 3*o**3/7 - 345*o**2/7 + 1332*o/7 = 0.
0, 4, 111
Factor -r**5/4 - 33*r**4/2 - 757*r**3/2 - 3339*r**2 - 30429*r/4 - 9261/2.
-(r + 1)*(r + 2)*(r + 21)**3/4
Factor -2*t**3/7 + 3288*t**2/7 - 1354650*t/7 + 2696164/7.
-2*(t - 821)**2*(t - 2)/7
Find j such that -3*j**4 - 75*j**3 - 417*j**2 + 495*j = 0.
-15, -11, 0, 1
Find x, given that -5*x**3 - 380*x**2 - 1095*x = 0.
-73, -3, 0
Factor n**4/8 + 5*n**3/8 - 7*n**2/4 - 9*n/2 + 9.
(n - 2)**