ate k.
-11, 10
Factor -b**2/2 + 44*b - 968.
-(b - 44)**2/2
Determine o, given that o**2 - 14*o - 51 = 0.
-3, 17
Solve r**2 - 234*r = 0.
0, 234
Factor -2*m**3/13 + 4*m**2/13 + 14*m/13 + 8/13.
-2*(m - 4)*(m + 1)**2/13
Factor -s**5/6 - 1657*s**4/6 - 683923*s**3/6 + 2061721*s**2/6 - 1032520*s/3 + 344450/3.
-(s - 1)**3*(s + 830)**2/6
Factor -5*x**4 + 280*x**3 - 1055*x**2 + 780*x.
-5*x*(x - 52)*(x - 3)*(x - 1)
Suppose 3*x**4 - 40*x**2/3 + 16/3 = 0. Calculate x.
-2, -2/3, 2/3, 2
Factor -3*u**2 + 3*u + 168.
-3*(u - 8)*(u + 7)
Find n such that -n**3/6 - 17*n**2/3 - 32*n/3 = 0.
-32, -2, 0
Find j, given that 4*j**2 + 4*j - 80 = 0.
-5, 4
Determine m, given that -2*m**4/9 + 208*m**3/9 - 1802*m**2/3 - 208*m/9 + 5408/9 = 0.
-1, 1, 52
Factor -3*h**3/2 - 48*h**2 + 543*h/2 - 222.
-3*(h - 4)*(h - 1)*(h + 37)/2
Factor -2*g**4/9 + 2*g**2/9.
-2*g**2*(g - 1)*(g + 1)/9
Factor v**2/5 - 8344*v/5 + 17405584/5.
(v - 4172)**2/5
Suppose -5*r**5 - 40*r**4 - 100*r**3 - 50*r**2 + 105*r + 90 = 0. Calculate r.
-3, -2, -1, 1
Let b**3/5 - 34*b**2/5 + 289*b/5 = 0. Calculate b.
0, 17
Factor -p**4/6 + 2*p**3 - p**2/2 - 104*p/3 - 32.
-(p - 8)**2*(p + 1)*(p + 3)/6
Determine p so that -2*p**4/7 + 68*p**3/7 + 146*p**2/7 - 68*p/7 - 144/7 = 0.
-2, -1, 1, 36
Determine a so that 3*a**3 - 12*a = 0.
-2, 0, 2
Factor 2*u**4/9 + 76*u**3/9 + 280*u**2/3 + 784*u/9 - 21952/9.
2*(u - 4)*(u + 14)**3/9
Factor -s**2/3 + 58*s - 845/3.
-(s - 169)*(s - 5)/3
Solve -3*x**2 - 2484*x = 0.
-828, 0
Factor 5*b**5 - 60*b**4 + 250*b**3 - 420*b**2 + 225*b.
5*b*(b - 5)*(b - 3)**2*(b - 1)
What is z in 3*z**2 - 66*z + 315 = 0?
7, 15
Let -5*x**5/3 - 70*x**4/3 + 560*x**3/3 - 800*x**2/3 = 0. What is x?
-20, 0, 2, 4
Factor -15*d**3 - 156*d**2 + 105*d + 66.
-3*(d - 1)*(d + 11)*(5*d + 2)
Determine c so that 2*c**2/9 - 9208*c/9 + 10598408/9 = 0.
2302
Factor 5*p**2 - 25*p - 330.
5*(p - 11)*(p + 6)
What is r in r**4/5 - 248*r**3/5 - 254*r**2/5 + 1248*r/5 - 747/5 = 0?
-3, 1, 249
Find k, given that -5*k**5 - 120*k**4 - 490*k**3 - 240*k**2 + 855*k = 0.
-19, -3, 0, 1
Factor 2*k**2 - 118*k - 120.
2*(k - 60)*(k + 1)
Factor -8*z**2/7 + 190*z/7 + 48/7.
-2*(z - 24)*(4*z + 1)/7
Factor 2*u**2/3 - 8*u + 18.
2*(u - 9)*(u - 3)/3
Determine r, given that -2*r**5/7 - 6*r**4/7 - 2*r**3/7 + 6*r**2/7 + 4*r/7 = 0.
-2, -1, 0, 1
Factor y**3/2 + 90*y**2 + 5400*y + 108000.
(y + 60)**3/2
Factor 14*f**4/11 - 30*f**3/11 + 18*f**2/11 - 2*f/11.
2*f*(f - 1)**2*(7*f - 1)/11
Suppose 3*y**3/4 + 39*y**2/2 - 90*y = 0. What is y?
-30, 0, 4
Let 5*h**4 + 15*h**3 - 30*h**2 - 40*h = 0. Calculate h.
-4, -1, 0, 2
Suppose -65*m**3 - 6250*m**2 - 150720*m - 23040 = 0. Calculate m.
-48, -2/13
Suppose o**2/4 - 19*o + 37 = 0. What is o?
2, 74
Factor -x**3 + 31*x**2 - 30*x.
-x*(x - 30)*(x - 1)
Solve t**5/3 + 37*t**4 + 536*t**3/3 + 632*t**2/3 - 144*t - 848/3 = 0.
-106, -2, 1
Find i such that 5*i**3/4 - 29*i**2/4 + 17*i/2 + 2 = 0.
-1/5, 2, 4
Determine v, given that -532*v**3/3 - 1418*v**2 - 1236*v + 14/3 = 0.
-7, -1, 1/266
Factor -2*n**2/7 + 3296*n/7 - 1357952/7.
-2*(n - 824)**2/7
Determine u so that 14*u**2/3 + 1520*u - 1304/3 = 0.
-326, 2/7
Let -3*n**4/8 - 45*n**3/8 - 18*n**2 - 33*n/2 = 0. What is n?
-11, -2, 0
What is c in 2*c**3 + 212*c**2 + 210*c = 0?
-105, -1, 0
Factor 18*z**4/7 - 2542*z**3/7 + 119850*z**2/7 - 1895322*z/7 + 415292/7.
2*(z - 47)**3*(9*z - 2)/7
Suppose 2*j**3/5 - 56*j**2/5 - 2*j/5 + 56/5 = 0. Calculate j.
-1, 1, 28
Determine x so that 15*x**3/2 - 275*x**2/2 + 285*x - 80 = 0.
1/3, 2, 16
Factor -3*w**2 - 4572*w - 1741932.
-3*(w + 762)**2
Let -195*c**2 + 166*c - 8 = 0. Calculate c.
2/39, 4/5
Factor 2*v**2 - 2*v - 60.
2*(v - 6)*(v + 5)
Factor 4*n**3 - 520*n**2 - 4352*n - 8832.
4*(n - 138)*(n + 4)**2
Factor 9*y**4 + 371*y**3 - 683*y**2 + 217*y + 86.
(y - 1)**2*(y + 43)*(9*y + 2)
Factor 2*o**5 + 2*o**4 - 6*o**3 - 2*o**2 + 4*o.
2*o*(o - 1)**2*(o + 1)*(o + 2)
Solve 2*g**4 + 92*g**3 + 178*g**2 + 88*g = 0.
-44, -1, 0
Find z, given that -z**5/4 - 3*z**4 - 57*z**3/4 - 67*z**2/2 - 39*z - 18 = 0.
-3, -2
Factor -2*z**2/17 + 1416*z/17 + 2840/17.
-2*(z - 710)*(z + 2)/17
Solve -3*b**5/4 - 21*b**4/4 - 21*b**3/2 - 3*b**2/2 + 45*b/4 + 27/4 = 0 for b.
-3, -1, 1
Suppose 3*k**4 - 25*k**3 + 23*k**2 + 37*k - 14 = 0. Calculate k.
-1, 1/3, 2, 7
Factor 3*x**2/4 - 3462*x - 13851/4.
3*(x - 4617)*(x + 1)/4
Factor 3*c**2 + 1038*c + 1035.
3*(c + 1)*(c + 345)
Factor -4*m**4 - 149*m**3 - 321*m**2 - 211*m - 35.
-(m + 1)**2*(m + 35)*(4*m + 1)
What is x in -x**3/9 + 20*x**2/9 + 7*x/3 = 0?
-1, 0, 21
Factor -2*z**2 + 946*z - 944.
-2*(z - 472)*(z - 1)
Find b such that -4*b**5 - 32*b**4 - 80*b**3 - 64*b**2 = 0.
-4, -2, 0
Find r such that 3*r**3 - 42*r**2 - 93*r - 48 = 0.
-1, 16
Factor -4*k**4 + 664*k**3 + 2016*k**2 + 2024*k + 676.
-4*(k - 169)*(k + 1)**3
Factor -2*t**2 + 106*t.
-2*t*(t - 53)
Factor 2*c**4/7 + 2*c**3/7.
2*c**3*(c + 1)/7
Solve 2*u**3/19 - 132*u**2/19 + 2040*u/19 + 4624/19 = 0 for u.
-2, 34
Find n, given that 220*n**3/9 - 356*n**2/9 + 52*n/9 + 28/3 = 0.
-21/55, 1
Suppose -3*a**2 - 255*a - 498 = 0. What is a?
-83, -2
Factor 2*b**3/7 + 2*b**2 - 290*b/7 + 850/7.
2*(b - 5)**2*(b + 17)/7
Determine u, given that -3*u**3 + 1419*u**2 - 167085*u - 168507 = 0.
-1, 237
Factor -8*f**4 - 38*f**3 + 11*f**2 + 5*f.
-f*(f + 5)*(2*f - 1)*(4*f + 1)
Let 3*q**3 - 1380*q**2/7 + 969*q/7 + 390/7 = 0. Calculate q.
-2/7, 1, 65
Let 4*g**4 - 212*g**3 + 2904*g**2 - 2288*g - 5408 = 0. What is g?
-1, 2, 26
Factor 32*u**4 - 144*u**3 - 270*u**2 - 108*u.
2*u*(u - 6)*(4*u + 3)**2
Find g such that -2*g**4/5 - 4*g**3 - 66*g**2/5 - 16*g - 32/5 = 0.
-4, -1
Factor c**4/3 + 7*c**3/3 - 8*c**2/3.
c**2*(c - 1)*(c + 8)/3
Factor -9*g**3/2 + 11*g**2/2 + 818*g - 182.
-(g - 14)*(g + 13)*(9*g - 2)/2
Find a such that 8*a**2/13 + 86*a/13 - 22/13 = 0.
-11, 1/4
Determine w so that -w**3 + 21*w**2 - 135*w + 243 = 0.
3, 9
Factor a**4 + 146*a**3 - 147*a**2.
a**2*(a - 1)*(a + 147)
Solve -4*h**3 - 3792*h**2 - 1198272*h - 126217984 = 0 for h.
-316
Suppose s**3/2 - s**2/2 - 6*s = 0. Calculate s.
-3, 0, 4
Solve q**2/2 + 17*q/2 - 9 = 0 for q.
-18, 1
Determine p so that 441*p**5 - 1491*p**4 + 1311*p**3 - 117*p**2 - 132*p - 12 = 0.
-1/7, 2/3, 1, 2
Solve 4*f**4 - 44*f**2 - 72*f - 32 = 0.
-2, -1, 4
Factor -o**2 + 10*o.
-o*(o - 10)
Factor -14*d**2 + 218*d + 232.
-2*(d + 1)*(7*d - 116)
Let -j**3/5 - 19*j**2/5 - 11*j + 363/5 = 0. Calculate j.
-11, 3
Find s, given that -14*s**5 + 52*s**4 + 450*s**3 + 320*s**2 - 616*s - 192 = 0.
-3, -2, -2/7, 1, 8
Factor 1404*y**2 + 240*y - 16.
4*(9*y + 2)*(39*y - 2)
Solve -3*o**4 + 15*o**3 + 96*o**2 + 108*o = 0 for o.
-2, 0, 9
Determine y, given that -147*y**5/5 + 476*y**4/5 - 579*y**3/5 + 326*y**2/5 - 84*y/5 + 8/5 = 0.
2/7, 2/3, 1
Determine w, given that -3*w**3/4 + 3*w**2/4 + 15*w = 0.
-4, 0, 5
Factor -d**3 + 26*d**2 - 209*d + 484.
-(d - 11)**2*(d - 4)
Find d such that 3*d**5/2 - 29*d**4/2 + 63*d**3/2 - 51*d**2/2 + 7*d = 0.
0, 2/3, 1, 7
What is p in p**3/6 + 3*p**2 + 40*p/3 = 0?
-10, -8, 0
Let 2*r**2/3 + 52*r/3 - 18 = 0. Calculate r.
-27, 1
Factor 4*q**2/3 - 4688*q/3 - 1564.
4*(q - 1173)*(q + 1)/3
Solve -18*v**3/5 + 7*v**2/2 + 3*v/10 - 1/5 = 0.
-1/4, 2/9, 1
Factor -k**2/2 + 99*k/4 + 25/2.
-(k - 50)*(2*k + 1)/4
Factor -2*h**2 + 500*h + 502.
-2*(h - 251)*(h + 1)
Solve -674*f**3/19 - 2702*f**2/19 - 2046*f/19 - 18/19 = 0 for f.
-3, -1, -3/337
Factor 2*l**3/9 + 256*l**2/9 - 1322*l/9 + 1064/9.
2*(l - 4)*(l - 1)*(l + 133)/9
Find z, given that 5*z**4 - 15*z**3 - 410*z**2 + 2220*z - 1800 = 0.
-10, 1, 6
Solve 5*u**4 - 5*u**3 - 119*u**2/5 - 87*u/5 - 18/5 = 0.
-1, -3/5, -2/5, 3
Solve -1805*u**4 - 665*u**3 + 960*u**2 - 180*u = 0.
-1, 0, 6/19
Factor b**4 - 7*b**3 - 13*b**2 + 43*b - 24.
(b - 8)*(b - 1)**2*(b + 3)
Factor 3*h**3/2 + 9*h**2/2 - 15867*h/2 - 460401/2.
3*(h - 83)*(h + 43)**2/2
Let 2*s**3/7 + 92*s**2/7 + 590*s/7 - 684/7 = 0. Calculate s.
-38, -9, 1
Factor -2*k**4 + 32*k**3 - 26*k**2 - 420*k.
-2*k*(k - 14)*(k - 5)*(k + 3)
Find q such that 12*q**4/5 - 273*q**3/5 + 1647*q**2/5 - 1023*q/5 - 363/5 = 0.
-1/4, 1, 11
What is a in a**3/5 - 6*a**2/5 - 3*a - 8/5 = 0?
-1, 8
Find h such that 2*h**4/3 + 14*h**3/3 - 16*h**2/3 = 0.
-8, 0, 1
Factor -k**4/4 + 9*k**3/2 - 61*k**2/4 + 18*k - 7.
-(k - 14)*(k - 2)*(k - 1)**2/4
Suppose -g**2/6 + 125*g/3 + 1799/6 = 0. What is g?
-7, 257
Factor -4*a**5/7 + 3168*a**4/7 - 119928*a**3 + 75255872*a**