p - 16 = 0.
-4, -1
Let n**5 - 4*n**3 = 0. What is n?
-2, 0, 2
Let -2*m**2/9 - 16*m/3 = 0. What is m?
-24, 0
Find d such that d**5 + 7*d**4/2 - 3*d**3/2 - 17*d**2/2 + 5*d/2 + 3 = 0.
-3, -2, -1/2, 1
Factor -3*a**2/4 - 9*a/2 + 561/4.
-3*(a - 11)*(a + 17)/4
Let -7*b**5/2 + 47*b**4/2 + 21*b**3/2 - 47*b**2/2 - 7*b = 0. Calculate b.
-1, -2/7, 0, 1, 7
Factor -n**2/3 + 11*n/3 + 92.
-(n - 23)*(n + 12)/3
Factor 7*h**3/2 + 4*h**2 - 136*h - 384.
(h + 4)**2*(7*h - 48)/2
Determine i, given that -i**3 + 52*i**2 + 108*i = 0.
-2, 0, 54
What is c in -2*c**3/5 + 8*c**2/15 - 2*c/15 = 0?
0, 1/3, 1
Factor -2*u**2 + 5*u - 2.
-(u - 2)*(2*u - 1)
Let 4*w**3/3 - 1808*w**2/3 + 207872*w/3 - 802816/3 = 0. What is w?
4, 224
Find s such that 16*s**3 + 30*s**2 - 22*s - 36 = 0.
-2, -1, 9/8
Factor -m**2 - 24*m + 25.
-(m - 1)*(m + 25)
Factor m**2 - 79*m/3 - 18.
(m - 27)*(3*m + 2)/3
Let 4*g**4 - 24*g**3 + 44*g**2 - 24*g = 0. Calculate g.
0, 1, 2, 3
Factor 2*y**3 - 66*y**2 + 340*y - 432.
2*(y - 27)*(y - 4)*(y - 2)
Factor -5*i**4 - 20*i**3 + 240*i**2 + 1600*i + 2560.
-5*(i - 8)*(i + 4)**3
Find u such that 3*u**2/4 - 4563*u/2 + 6940323/4 = 0.
1521
Suppose 6*n**5 + 93*n**4 - 240*n**3 - 4512*n**2 + 16128*n - 6912 = 0. Calculate n.
-12, 1/2, 4
Factor -4*c**3/7 - 9724*c**2/7 - 5914620*c/7 - 5904900/7.
-4*(c + 1)*(c + 1215)**2/7
Let 2*u**2/3 - 6*u - 20/3 = 0. Calculate u.
-1, 10
Determine y so that -3*y**2 + 18*y + 165 = 0.
-5, 11
Factor 3*k**3 - 72*k**2 + 387*k - 510.
3*(k - 17)*(k - 5)*(k - 2)
Factor 2*f**4/15 + 108*f**3/5 - 334*f**2/3.
2*f**2*(f - 5)*(f + 167)/15
Solve -4*f**5 + 20*f**4 + 248*f**3 + 200*f**2 - 244*f - 220 = 0.
-5, -1, 1, 11
Solve -a**5 - 22*a**4 + 221*a**3 - 558*a**2 + 360*a = 0.
-30, 0, 1, 3, 4
Factor 5*c**2 - 4975*c - 4980.
5*(c - 996)*(c + 1)
What is c in -5*c**3 - 310*c**2 - 305*c = 0?
-61, -1, 0
Find p, given that -5*p**4/4 - 103*p**3/4 - 553*p**2/4 - 257*p/4 + 99/2 = 0.
-11, -9, -1, 2/5
Factor -h**3 + 925*h**2 - 214368*h + 213444.
-(h - 462)**2*(h - 1)
Suppose -3*v**3 - 24*v**2 - 57*v - 36 = 0. Calculate v.
-4, -3, -1
Solve -w**4/7 + 10*w**3/7 + 40*w**2/7 - 10*w/7 - 39/7 = 0.
-3, -1, 1, 13
Find w such that -2*w**2 - 1074*w + 1076 = 0.
-538, 1
Factor 2*m**3/9 - 28*m**2/9 + 98*m/9 - 8.
2*(m - 9)*(m - 4)*(m - 1)/9
Let -225*x**5 + 670*x**4 - 686*x**3 + 244*x**2 + 15*x - 18 = 0. What is x?
-2/9, 3/5, 1
Factor -2*d**4/5 + 2*d**3 + 2*d**2/5 - 2*d.
-2*d*(d - 5)*(d - 1)*(d + 1)/5
Determine i so that 21*i**4 + 44*i**3 - 80*i**2 - 176*i - 16 = 0.
-2, -2/21, 2
Factor -4*q**2 - 17464*q - 19061956.
-4*(q + 2183)**2
Suppose -121*i**3 + 319*i**2 + 128*i + 12 = 0. Calculate i.
-2/11, 3
Let -5*h**4 - 40*h**3 + 225*h**2 - 180*h = 0. What is h?
-12, 0, 1, 3
Factor 3*v**4 + 929*v**3 + 71765*v**2 - 24025*v.
v*(v + 155)**2*(3*v - 1)
Factor 2*v**3/9 + 20*v**2 - 566*v/9 - 248/3.
2*(v - 4)*(v + 1)*(v + 93)/9
Determine r so that 21*r**5 + 78*r**4 + 18*r**3 - 96*r**2 - 39*r + 18 = 0.
-3, -1, 2/7, 1
Let 2*t**2/3 + 56*t/3 - 58/3 = 0. What is t?
-29, 1
Suppose h**3/2 + 173*h**2/2 + 343*h/2 + 171/2 = 0. Calculate h.
-171, -1
Suppose s**5 - 18*s**4 + 101*s**3 - 132*s**2 - 252*s = 0. What is s?
-1, 0, 6, 7
Factor -2*a**3/11 + 328*a**2/11 - 2528*a/11 + 4992/11.
-2*(a - 156)*(a - 4)**2/11
Factor -5*l**2/2 - 5*l/2 + 140.
-5*(l - 7)*(l + 8)/2
Determine f so that 5*f**4 - 320*f**3 + 625*f**2 - 310*f = 0.
0, 1, 62
Factor -2*p**4 + 97*p**3/2 - 12*p**2.
-p**2*(p - 24)*(4*p - 1)/2
Factor 2*z**4/5 - 6*z**3/5 - 8*z**2/5.
2*z**2*(z - 4)*(z + 1)/5
Factor -2*q**3/5 + 288*q**2/5 - 13824*q/5 + 221184/5.
-2*(q - 48)**3/5
Factor -3*x**3 - 18*x**2 - 27*x - 12.
-3*(x + 1)**2*(x + 4)
Let p**5/6 + p**4/6 - 7*p**3/6 - 13*p**2/6 - p = 0. What is p?
-2, -1, 0, 3
Factor -3*k**2/5 + 576*k/5 - 4941/5.
-3*(k - 183)*(k - 9)/5
Factor -4*o**2 + 113*o/2 + 121/2.
-(o + 1)*(8*o - 121)/2
Solve -5*o**5 + 95*o**4 + 160*o**3 - 5540*o**2 - 21280*o - 15680 = 0.
-4, -1, 14
Factor -2*s**2 + 1804*s.
-2*s*(s - 902)
Let t**5/4 + 9*t**4 + 71*t**3 + 148*t**2 - 240*t - 832 = 0. What is t?
-26, -4, 2
Factor -b**3/4 + 5*b**2/2 + b/4 - 5/2.
-(b - 10)*(b - 1)*(b + 1)/4
Determine j so that j**3/2 - 180*j**2 + 21600*j - 864000 = 0.
120
Factor -3*h**3 - 48*h**2 - 39*h + 90.
-3*(h - 1)*(h + 2)*(h + 15)
Solve o**4/5 - 71*o**3/5 + 332*o**2/5 - 124*o/5 - 528/5 = 0 for o.
-1, 2, 4, 66
Factor -5*m**4 - 10*m**3.
-5*m**3*(m + 2)
Solve -10*l**3 - 6096*l**2 + 2440*l = 0.
-610, 0, 2/5
Solve -2*k**2/19 - 1442*k/19 + 76 = 0 for k.
-722, 1
Determine w, given that -2*w**3 - 6*w**2 + 152*w - 264 = 0.
-11, 2, 6
Factor s**5/3 - 8*s**4/3 + 7*s**3/3.
s**3*(s - 7)*(s - 1)/3
Determine b so that 4*b**5 - 40*b**3 + 80*b**2 - 60*b + 16 = 0.
-4, 1
Solve r**2 - 35*r = 0 for r.
0, 35
What is g in -3*g**4 + 174*g**3 - 645*g**2 - 174*g + 648 = 0?
-1, 1, 4, 54
Factor -x**3 + 25*x**2 - 106*x + 120.
-(x - 20)*(x - 3)*(x - 2)
Suppose 10*g**3 + 935*g**2 - 475*g - 470 = 0. Calculate g.
-94, -1/2, 1
Suppose 6*z**5/5 + 21*z**4/5 + 9*z**3/5 = 0. Calculate z.
-3, -1/2, 0
Let 3*b**5 + 1923*b**4 + 305265*b**3 - 927363*b**2 + 931224*b - 311052 = 0. What is b?
-322, 1
Find p, given that -p**2/2 + 150*p = 0.
0, 300
Determine w so that 3*w**5 + 120*w**4 + 342*w**3 + 336*w**2 + 111*w = 0.
-37, -1, 0
Determine f so that 3*f**2/5 - 531*f/5 - 324 = 0.
-3, 180
Suppose -2*j**2 + 108*j - 306 = 0. Calculate j.
3, 51
Find l, given that -2*l**4 - 10*l**3 - 8*l**2 = 0.
-4, -1, 0
Determine o so that -5*o**2 - 20*o + 300 = 0.
-10, 6
Factor 2*q**3 + 60*q**2.
2*q**2*(q + 30)
Suppose -20*r**5/3 + 928*r**4/3 - 1228*r**3/3 - 1456*r**2/3 + 240*r = 0. What is r?
-1, 0, 2/5, 2, 45
Let -2*u**2/3 - 1312*u/3 + 438 = 0. What is u?
-657, 1
Factor o**2/2 + 399*o - 1604.
(o - 4)*(o + 802)/2
Solve 484*y**3/3 - 352*y**2/3 - 41*y - 3 = 0 for y.
-3/22, 1
Factor 20*n**2/3 - 6*n - 2/3.
2*(n - 1)*(10*n + 1)/3
Factor i**2 - 8*i - 209.
(i - 19)*(i + 11)
Factor -k**3/4 - 3*k**2/2 - 2*k.
-k*(k + 2)*(k + 4)/4
Suppose -5*l**2 - 180*l - 1015 = 0. What is l?
-29, -7
Factor 2*k**2 - 434*k - 2220.
2*(k - 222)*(k + 5)
Solve 3*x**5 + 27*x**4 + 57*x**3 + 9*x**2 - 60*x - 36 = 0.
-6, -2, -1, 1
Factor 2*u**4/7 + 12*u**3/7 + 16*u**2/7.
2*u**2*(u + 2)*(u + 4)/7
Find j, given that 4*j**2 - 172*j + 1560 = 0.
13, 30
Let 3*z**4/2 - 45*z**3/2 - 9*z**2/2 + 129*z/2 + 45 = 0. What is z?
-1, 2, 15
Suppose 54*x**3 - 530*x**2/11 - 72*x/11 + 8/11 = 0. What is x?
-2/11, 2/27, 1
Factor 5*y**2 - 15*y - 140.
5*(y - 7)*(y + 4)
Factor -n**2/7 - 594*n/7 - 88209/7.
-(n + 297)**2/7
Let -4*y**5 + 40*y**4 + 432*y**3 - 616*y**2 - 2348*y - 1344 = 0. What is y?
-7, -1, 3, 16
What is r in -2*r**5/15 + 4*r**4/3 - 32*r**3/15 - 4*r**2/15 + 34*r/15 - 16/15 = 0?
-1, 1, 8
Factor 84*h**2 - 2*h/7.
2*h*(294*h - 1)/7
Let 4*j**3/5 + 1608*j**2/5 - 4*j/5 - 1608/5 = 0. Calculate j.
-402, -1, 1
Suppose -h**3/8 + 45*h**2/8 + 177*h/4 + 65 = 0. Calculate h.
-5, -2, 52
Factor -2*o**2 + 12*o + 110.
-2*(o - 11)*(o + 5)
Suppose -j**4 + 6*j**3 - 12*j**2 + 10*j - 3 = 0. What is j?
1, 3
Factor -2*t**2/3 + 326*t - 976/3.
-2*(t - 488)*(t - 1)/3
Factor -2*w**5/15 - 3404*w**4/15 - 385786*w**3/3 - 362632784*w**2/15 + 731065984*w/15 - 366500864/15.
-2*(w - 1)**2*(w + 568)**3/15
Factor o**4/9 + 2*o**3 - 781*o**2/9 - 266*o/3.
o*(o - 21)*(o + 1)*(o + 38)/9
Let -2*p**4/9 + 172*p**3/3 - 1522*p**2/9 - 680*p/3 = 0. What is p?
-1, 0, 4, 255
Let -3*d**5/5 - 42*d**4/5 - 174*d**3/5 - 12*d**2 + 165*d + 150 = 0. What is d?
-5, -1, 2
Suppose -2*q**2/5 + 28*q/5 - 26/5 = 0. What is q?
1, 13
Factor 6*w**3 + 140*w**2/3 + 94*w/3 - 28/3.
2*(w + 1)*(w + 7)*(9*w - 2)/3
Factor -2*t**4 + 144*t**3 - 2986*t**2 + 14124*t - 17424.
-2*(t - 33)**2*(t - 4)*(t - 2)
Suppose -3*k**3 - 51*k**2 + 114*k = 0. Calculate k.
-19, 0, 2
Determine q so that 3*q**3 - 48*q**2 + 192*q = 0.
0, 8
Solve 4*n**2/7 + 3996*n/7 = 0 for n.
-999, 0
Suppose -p**4/6 + p**3/6 + 19*p**2/6 - 49*p/6 + 5 = 0. Calculate p.
-5, 1, 2, 3
Let v**3/4 - 3*v**2/2 + 9*v/4 - 1 = 0. What is v?
1, 4
Factor -3*p**2/4 + 663*p/4 - 165.
-3*(p - 220)*(p - 1)/4
Factor n**2/3 - 2*n - 55/3.
(n - 11)*(n + 5)/3
Factor -g**5 - 1994*g**4 - 992013*g**3 + 1990012*g**2 - 996004*g.
-g*(g - 1)**2*(g + 998)**2
Find w, given that -3*w**3 + 57*w**2 + 360*w = 0.
-5, 0, 24
Factor x**3/3 - 10*x**2/3 + 28*x/3 - 8.
(x - 6)*(x - 2)**2/3
Factor -2*n**3 - 58*n**2 - 108*n.
-2*n*(n + 2)*(n + 27)
Determin